Free CFA Level III Private Wealth Practice Exam

This free resource contains 11 original cases and 44 questions for the 2027 CFA Level III common core and Private Wealth pathway. Each case has four independently answerable questions with three alternatives and one best answer.

These are original Finance Prep exercises, not official CFA Institute questions, copied live-exam content or exam dumps. Finance Prep is independent from CFA Institute.

Attempt the cases before revealing explanations

Allow about 132 minutes for an editorial pacing exercise, or work through one case at a time. The official Level III exam mixes item sets and constructed responses in each session. This is not a complete mixed-format mock, a written-response assessment or a prediction of passing.

Read the legal owner, decision-maker, dates and units before calculating. Use each question’s explicitly changed assumptions independently. Reveal the explanation after answering and account for both the correct choice and the rejected alternatives.

This fixed selection covers all six practice areas. Reopening the page keeps the same questions and displayed answers. Review remembered answers and correct guesses before treating a repeated score as new evidence.

Case 1

Topic: Asset Allocation

Rowan Family Portfolio Review

Priya Sen advises Daniel and Elena Rowan, recently retired spouses who jointly own a $20 million investment portfolio. They require $0.8 million of spending at each year-end for ten years and seek terminal wealth of at least $10 million immediately after the final withdrawal. They cannot borrow or obtain additional funds outside the portfolio.

All amounts are nominal US dollars, after investment fees and taxes. Under the case assumptions, asset sales generate no additional taxes or transaction costs.

Holdings and access

Public holdings and cash are immediately available. Private-fund holdings cannot be redeemed or sold during years 1–4, and no distributions are scheduled during that period. Another $3 million of committed capital may be called during those four years. A capital contribution exchanges liquid cash for equally valued locked fund units; it is not a consumption expense.

The family also faces uncertain care costs. An inflationary contraction could increase these costs while depressing equity and bond values and delaying private-fund distributions.

Reported simulation

The planning model generates 10,000 ten-year paths using jointly normal annual asset-class returns, independent draws across years, and constant expected returns and correlations. It treats every holding as immediately saleable at its modeled value. Capital calls are transfers between asset categories, but the model does not maintain a separate liquid-cash balance. It includes regular spending but excludes additional care costs.

The report labels a path successful when terminal wealth meets the $10 million floor.

Additional stress evidence

For the specified first-year stress, the table’s returns occur before any payments. At year-end, the entire $3 million commitment is called, an additional $3 million care bill becomes due, and regular spending must be paid. There are no private-fund distributions.

Sen also has a library of coherent multi-year stress episodes containing annual observations for asset returns, care payments, capital calls, and private-fund distributions. These episodes include simultaneous asset declines and prolonged adverse conditions.

Question 1

Using the reported simulation, what is the expected terminal legacy shortfall across all trials, assigning zero shortfall to paths that meet the $10 million floor?

• A. $3,000,000
• B. $240,000
• C. $128,000

Best answer: B

An unconditional expected funding shortfall combines the probability of missing the target with the average deficit when a miss occurs. Paths meeting the target contribute zero. Let terminal wealth, \(W_{10}\), be measured in millions and define the deficit as \(S=\max(10-W_{10},0)\).

\[ \mathrm{E}[S]=(1-0.92)(10-7.0)=0.24. \]

The expected deficit is therefore $240,000 across all modeled paths. The fifth percentile describes a point in the wealth distribution, not the average wealth of unsuccessful paths. This calculation is conditional on the model’s assumptions. It does not establish the family’s actual probability of adequate funding, particularly because care costs, changing dependence, and restrictions on liquidation are not fully represented.

Answer choices explained:

A — Incorrect: This is the average deficit conditional on missing the floor. Averaging across all trials also requires weighting by the 8% failure probability.

B — Correct: The failure probability is 8%, and the conditional average deficit is $3 million. Their product is an unconditional expected shortfall of $240,000.

C — Incorrect: This substitutes fifth-percentile wealth for average wealth among failing paths: \(0.08 \times (10-8.4)=0.128\) million. A percentile does not measure average shortfall severity.

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Question 2

For a separate two-year sequence-risk illustration, apply each stated return to the entire initial $8 million liquid sleeve. The only cash flows are the regular $0.8 million year-end withdrawals; exclude capital calls and additional care costs. The early-loss path earns -20% followed by +20%, while the early-gain path earns +20% followed by -20%. Which comparison of terminal liquid wealth is correct?

• A. The early-loss path ends $320,000 lower.
• B. Both paths end with equal wealth.
• C. The early-gain path ends $320,000 lower.

Best answer: A

Withdrawals create sequence-of-returns risk because cash removed after an early loss cannot participate in the subsequent recovery. Although both paths compound to a -4% investment return before withdrawals, they do not produce the same terminal wealth.

Using millions of dollars:

\[ \begin{aligned} W_{\mathrm{early\ loss}}&=(8\times0.8-0.8)\times1.2-0.8=5.92,\\ W_{\mathrm{early\ gain}}&=(8\times1.2-0.8)\times0.8-0.8=6.24. \end{aligned} \]

The early-loss path ends $320,000 lower. Without withdrawals, reversing these two returns would leave terminal wealth unchanged. For the Rowans, simulation therefore needs to preserve the interaction between returns and dated withdrawals rather than evaluate only average returns or terminal compounded returns.

Answer choices explained:

A — Correct: After year-end withdrawals, terminal wealth is $5.92 million for the early-loss path and $6.24 million for the early-gain path.

B — Incorrect: The paths have the same compounded investment return, but withdrawals make terminal wealth depend on return order.

C — Incorrect: This reverses the withdrawal effect. The early-gain path ends with $6.24 million, compared with $5.92 million for the early-loss path.

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Question 3

At year-end 1 under the specified first-year stress, what is the liquid funding position relative to all payments due, before any remedial action?

• A. A $0.5 million shortfall.
• B. A $2.5 million surplus.
• C. A $7.3 million surplus.

Best answer: A

Liquidity feasibility depends on assets that can actually fund payments when due, not total marked portfolio wealth. Let available liquid assets and payments due be measured in millions:

\[ L_1=5(0.70)+2(0.90)+1=6.3,\qquad D_1=0.8+3+3=6.8. \]

The funding gap is $0.5 million. Existing private-fund holdings have a stressed value of $7.8 million, but that value cannot meet current obligations because the holdings are locked and provide no distributions. The capital call is not consumption: it purchases additional private-fund units. Nevertheless, it consumes liquid resources, and the newly acquired units are also locked. Consequently, a portfolio can retain substantial total wealth while failing a near-term cash-flow test. Immediate-liquidation assumptions conceal this distinction.

Answer choices explained:

A — Correct: Available liquid assets are $6.3 million, while spending, the capital call, and care costs require $6.8 million.

B — Incorrect: This subtracts regular spending and care costs but omits the $3 million capital call, which also requires immediately available cash.

C — Incorrect: This includes the $7.8 million stressed private-fund value as spendable cash, although those holdings cannot be sold or redeemed.

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Question 4

Which use of the stress library best evaluates adverse co-movement and prolonged liquidity pressure that the baseline simulation may miss? Every proposed method enforces actual payment dates, contractual limits, and lockups.

• A. Resample joint annual observations independently across years.
• B. Resample multi-year blocks jointly across all modeled series.
• C. Resample multi-year blocks independently for each modeled series.

Best answer: B

Joint multi-year block sampling retains two relationships important to the Rowans: dependence across variables and persistence through time. A stressed block can contain asset losses, increased care payments, capital calls, and weak distributions occurring together over several years. Applying actual access restrictions and payment dates then reveals whether those paths remain fundable.

Unlike fixed-correlation normal draws, an appropriately constructed stress library can represent asymmetric losses and regime-dependent relationships. Preserving entire joint blocks avoids breaking those relationships during resampling. Results still depend on the library’s coverage and assumptions; stress frequencies should not automatically be interpreted as calibrated real-world probabilities. The baseline’s 92% success rate is therefore neither a guarantee nor a substitute for checking cash-flow feasibility under credible adverse paths.

Answer choices explained:

A — Incorrect: Joint annual sampling retains within-year relationships but breaks multi-year dependence, potentially understating prolonged downturns and persistent distribution delays.

B — Correct: Joint blocks preserve adverse cross-series relationships and multi-year clustering, allowing the test to capture simultaneous shocks and sustained funding pressure.

C — Incorrect: Separate block sampling can retain persistence within each series but breaks the alignment of asset losses, care payments, calls, and distributions.

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Case 2

Topic: Asset Allocation

Emerging-Market Forecasts for the Carrow Family

Mira Sen, CFA, advises the Carrow family, whose reporting currency is the US dollar. The family has a $30 million investment portfolio with no planned withdrawals for five years. A separate $600,000 reserve must fund a payment outside the investment countries in nine months; borrowing and replacement funding are unavailable.

Sen is evaluating securities issued in two fictional emerging markets, Arvona and Belvar. The family and its accounts are resident outside both countries. Ignore taxes and transaction costs.

Country evidence

The following information is available at the proposed purchase date. Dollar amounts are in billions of US dollars.

External debt service includes public and private principal and interest payments.

Arvona: The central bank has operational independence. However, the cabinet has announced that it may refuse to service the legacy US-dollar sovereign bonds under consideration because the previous administration approved the financed projects. Minority shareholders also have limited remedies against dilution by controlling owners.

Belvar: The government has continued servicing its dollar debt and publicly prioritizes repayment, but access to new foreign financing is uncertain. The central bank can finance government spending with newly created local currency. Independent commercial courts provide effective protection for minority shareholders.

One-year investment worksheets

For a separate, conditional local-currency bond calculation, Sen assumes Belvar makes full repayment. A zero-coupon sovereign bond with 100 local currency units of face value costs 90 units and pays 100 units exactly one year later. The exchange rate is initially 4.00 Belvar currency units per US dollar and is 4.80 at maturity in this scenario.

Sen also prepares the following equity scenarios. Within each country, the scenarios are mutually exclusive and exhaustive. Terminal wealth is the US-dollar-equivalent value after one year for each $100 initially invested, including dividends and all currency effects, but before any separate adjustment for remittance restrictions.

Trading, transfers, and diversification

Arvona has deeper market turnover and no remittance restrictions. Belvar securities trade daily and normally settle in two business days, although market depth falls sharply during stress.

For new foreign investments in Belvar, principal, income, and sale proceeds cannot leave the country until 18 months after purchase. Investors may sell securities and convert proceeds into US dollars locally. No early exemption is available to the family.

Estimated correlations between Belvar equity returns and the family’s existing portfolio, both measured in US dollars, are 0.25 during normal conditions and 0.85 during external funding stress. Sen is assessing Belvar equities for both the long-horizon portfolio and the separately funded payment reserve.

Question 5

Which pair identifies the principal risk channels Sen should incorporate when forecasting credit losses on the countries’ US-dollar sovereign bonds?

• A. Arvona: politically motivated repudiation; Belvar: insufficient foreign-currency funding.
• B. Arvona: politically motivated repudiation; Belvar: erosion of local-currency purchasing power.
• C. Arvona: insufficient foreign-currency funding; Belvar: politically motivated repudiation.

Best answer: A

Sovereign credit analysis distinguishes willingness to pay from ability to pay. Arvona’s usable reserves are three times its next-year external debt service, and its current account is in surplus. Those indicators support repayment capacity, but they do not remove the cabinet’s stated threat to repudiate particular obligations.

Belvar’s reserves cover only 40% of upcoming external debt service, while its current account deficit creates an additional financing requirement. A demonstrated commitment to repayment does not supply the missing foreign currency. Its central bank can create local currency, not US dollars. Inflation and depreciation may aggravate the funding problem, but domestic purchasing-power erosion is not itself a reduction in the contractual dollar payment.

Answer choices explained:

A — Correct: Arvona’s threat concerns willingness to pay despite strong reserve coverage; Belvar’s debt service and external deficit strain its ability to obtain dollars.

B — Incorrect: Belvar’s inflation affects local-currency real returns, but its dollar debt requires dollar payments; the principal credit concern is inadequate foreign-currency funding.

C — Incorrect: This reverses the evidence: Arvona has substantial external liquidity but threatens nonpayment, whereas Belvar prioritizes repayment but faces a foreign-currency funding gap.

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Question 6

In the bond worksheet’s full-repayment scenario, Belvar’s one-year local-currency sovereign bond return, measured in US dollars before any remittance adjustment, is closest to:

• A. -7.4%.
• B. -8.9%.
• C. +11.1%.

Best answer: A

Full repayment eliminates default loss in this conditional scenario, but it does not eliminate currency exposure. Because the exchange rate is quoted as local currency units per US dollar, both the purchase price and repayment must be divided by their respective exchange rates.

\[ R_{\mathrm{USD}}=\frac{100/4.80}{90/4.00}-1=-7.4074\%. \]

The bond earns 11.11% in local currency. However, the increase in the exchange-rate quotation from 4.00 to 4.80 means that the local currency loses 16.67% of its dollar value. Local asset and currency returns compound rather than simply add. Thus, a positive local-currency sovereign bond return can coexist with a negative return for the family’s unhedged dollar portfolio.

Answer choices explained:

A — Correct: The initial dollar investment is \(90/4.00=22.50\); repayment is worth \(100/4.80=20.83\), producing approximately -7.4%.

B — Incorrect: This subtracts the 20% increase in currency units per dollar from the 11.1% local return rather than converting and compounding correctly.

C — Incorrect: This is the local-currency holding-period return, \(100/90-1\). It omits the decline in the Belvar currency’s dollar value.

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Question 7

Using Sen’s equity scenarios, which pair of probability-weighted one-year US-dollar return forecasts is most appropriate?

• A. Arvona: 18.0%; Belvar: 12.0%.
• B. Arvona: 14.4%; Belvar: 10.8%.
• C. Arvona: 8.4%; Belvar: 9.2%.

Best answer: C

An equity return forecast must reflect both gains and losses across the supplied scenarios. The terminal values already include dividends and currency effects, so no additional currency adjustment is appropriate.

\[ E[R_{\mathrm{Arvona}}]=0.80(18\%)+0.20(-30\%)=8.4\%. \]\[ E[R_{\mathrm{Belvar}}]=0.90(12\%)+0.10(-16\%)=9.2\%. \]

Arvona’s stronger external balance sheet does not protect minority investors from controlling-shareholder dilution. Belvar’s funding vulnerability affects its equity forecast through the specified adverse outcome, while its ownership protections address a different risk. Sovereign credit quality therefore cannot mechanically determine the equity return ranking. These are probability-weighted holding-period forecasts at current prices, not required returns constructed by adding a universal country-risk premium.

Answer choices explained:

A — Incorrect: These are the ordinary-scenario returns, not probability-weighted forecasts; they exclude the adverse outcomes specified for both equity markets.

B — Incorrect: These forecasts weight only the ordinary gains and assign zero returns to adverse scenarios, omitting Arvona’s dilution loss and Belvar’s funding-stress loss.

C — Correct: Expected terminal wealth is $108.40 for Arvona and $109.20 for Belvar per $100 invested, implying returns of 8.4% and 9.2%.

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Question 8

Which conclusion best applies the family’s liquidity requirement and diversification objective to Belvar equities?

• A. Include them in the reserve; daily trading and low normal-period correlation support payment availability.
• B. Exclude them from the reserve; evaluate long-horizon diversification using stress-sensitive US-dollar returns.
• C. Exclude them from the reserve; the positive stressed correlation rules out long-horizon diversification.

Best answer: B

Investability requires distinguishing the ability to trade, settle, convert currency, and remit funds. Belvar’s daily trading and normal settlement cycle do not overcome its 18-month transfer restriction. The family’s nine-month payment must occur outside Belvar, and replacement financing is unavailable, so these equities cannot serve the reserve.

The long-horizon decision is separate. A normal-period dollar correlation of 0.25 suggests potential diversification, but the increase to 0.85 during funding stress shows that benefits may weaken when needed most. Positive correlation does not automatically eliminate diversification, just as correlation below one does not guarantee lower total portfolio volatility. Sen should evaluate dollar-based volatilities, covariances, exposures, and stressed outcomes before selecting a long-term allocation.

Answer choices explained:

A — Incorrect: Daily trading permits local liquidation, but the 18-month remittance restriction prevents proceeds from funding the family’s payment outside Belvar in nine months.

B — Correct: The transfer restriction conflicts with the reserve’s deadline, while the long-horizon portfolio can separately assess potential diversification under normal and stressed conditions.

C — Incorrect: Reserve exclusion is justified, but a positive stressed correlation does not eliminate all diversification potential; volatility, covariance, allocation size, and other conditions also matter.

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Case 3

Topic: Portfolio Construction

The Bellamy Family’s Alternative Investment Review

Nadia Sethi advises the Bellamy family, whose founders have retired following the sale of their business. Their $100 million financial portfolio must support a substantial near-term distribution while preserving purchasing power for the next generation over a 25-year horizon. Sethi is reviewing how alternative investments should enter the strategic allocation.

Funding and oversight

The committee establishes the following screening assumptions and limits:

• A $30 million family distribution and $10 million of existing buyout capital calls are due at month 24. At least $5 million of liquid assets must remain afterward.
• No private-fund distributions are expected before that date. Apart from the specified stress haircuts, ignore investment returns, taxes and transaction costs.
• For this initial screen, buyout NAV plus private-credit NAV plus the $10 million undrawn commitment cannot exceed $30 million, measured using today’s NAV.
• Household borrowing, derivative overlays and additional commitments are prohibited. All candidate funds satisfy the family’s approved fund-level leverage limits.

The committee meets semiannually and employs one generalist. It can enforce allocation and commitment limits and commission an annual external risk review, but cannot oversee frequent model recalibration or factor-target trading.

Allocation research

Sethi compares a historical asset-class optimizer, an economic-factor approach and a conservative alternatives policy bucket within the traditional equity-bond allocation.

The optimizer uses ten years of quarterly reported returns. Buyout and private-credit NAVs are appraisal-based, and managers typically incorporate public-market changes one or two quarters later. The data show annualized buyout volatility of 7%, versus 18% for public equity, and a contemporaneous correlation of 0.15 between them.

The factor research covers economic growth, real rates, inflation and credit conditions, with illiquidity assessed separately. The table presents base-case growth loadings, including embedded fund leverage. A fully funded public-equity portfolio has one unit of growth exposure.

For liquidity screening, the final column shows usable cash at month 24 per dollar of current NAV. Zero indicates unavailable liquidity, not a worthless investment. Buyout and private-credit funds have five-year lockups; the hedged fund permits quarterly redemptions but may impose gates.

An unconstrained research prototype allocates 25% to public equity, 30% to core bonds, 20% to buyouts, 15% to private credit and 10% to the hedged fund. It is not an implementation recommendation.

Across plausible estimation windows, factor loadings and expected factor premia change materially. Rankings of preferred alternative mixes also reverse under modest changes in expected returns. Neither the historical optimizer nor the factor research produces stable recommended weights.

Implementation candidates

Three fully funded candidates are available for initial screening. Assume each can be established at the stated weights without additional commitments.

Question 9

Which change would most directly address the valuation-related distortion in the historical optimizer’s covariance inputs?

• A. De-smooth appraisal-based returns and account for their delayed response to market returns.
• B. Extend the quarterly return sample while retaining the same appraisal conventions.
• C. Shrink the reported-return covariance matrix toward a diagonal target.

Best answer: A

Appraisal-based returns can smooth economic changes across reporting periods and recognize market developments with a lag. Consequently, reported volatility and contemporaneous correlations may understate the underlying risks. The buyouts’ 7% volatility and 0.15 public-equity correlation therefore do not establish strong economic diversification.

De-smoothing and accounting for nonsynchronous responses address this specific distortion more directly than adding observations or regularizing an unadjusted covariance matrix. Corrected estimates still involve substantial uncertainty: an assumed adjustment process may itself be misspecified. Sethi should assess sensitivity to alternative adjustments and stressed relationships rather than treat the revised covariance matrix as a complete risk description. Liquidity, commitments and embedded leverage remain separate implementation considerations.

Answer choices explained:

A — Correct: Adjusting for smoothing and lagged market recognition directly addresses the artificially low reported volatility and contemporaneous covariance of the private investments.

B — Incorrect: Additional observations may reduce sampling uncertainty, but retaining the valuation conventions preserves the smoothing and lag that distort the covariance estimates.

C — Incorrect: Shrinkage can reduce sampling error, but it does not directly correct the systematic smoothing and delayed recognition in appraisal-based returns.

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Question 10

Using the base-case growth loadings, the research prototype’s economic-growth exposure is equivalent to a portfolio consisting of core bonds and approximately what percentage in public equity?

• A. 51%
• B. 57%
• C. 52%

Best answer: B

Portfolio exposure to an economic factor is the asset-weighted sum of the individual factor loadings. Let \(\beta_G\) denote the prototype’s aggregate growth loading. Using the supplied estimates:

\[ \beta_G = 0.25(1.00) + 0.30(0.00) + 0.20(1.25) + 0.15(0.40) + 0.10(0.10) = 0.57. \]

Because core bonds have zero growth loading, a portfolio with 57% public equity and 43% core bonds has the same modeled growth exposure. The prototype’s 25% direct public-equity allocation therefore substantially understates its total exposure to economic growth. This equivalence concerns only one factor: it does not establish equal total volatility, downside risk, liquidity or exposure to other economic factors.

Answer choices explained:

A — Incorrect: This result omits private credit’s growth exposure, which contributes six percentage points to the prototype’s aggregate loading.

B — Correct: The weighted growth loadings sum to 0.57; public equity has a loading of 1.00 and core bonds have a loading of zero.

C — Incorrect: This result assigns buyouts a growth loading of 1.00 rather than the stated 1.25, understating their leveraged economic exposure.

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Question 11

Which implementation candidate satisfies both the month-24 stressed liquidity requirement and the initial private-investment exposure limit?

• A. Maple
• B. Cedar
• C. Oak

Best answer: C

The liquidity screen must cover the family distribution, capital calls and required residual reserve. The required amount is $45 million. Only public equity and core bonds provide usable cash under the specified stress assumptions.

For Oak, stressed proceeds, in millions of dollars, are:

\[ 40(0.60) + 30(0.90) = 51. \]

After the $30 million distribution and $10 million capital call, $11 million remains, exceeding the $5 million reserve requirement. Oak’s buyout NAV, private-credit NAV and undrawn commitment total $30 million, exactly meeting the separate exposure limit.

These are distinct constraints. Cedar meets the private-investment limit but lacks sufficient stressed liquidity; Maple has sufficient liquidity but exceeds the exposure limit. Quarterly redemption terms do not make the hedged fund dependable funding when gates may apply.

Answer choices explained:

A — Incorrect: Maple provides $48 million of stressed liquidity, but its $25 million private NAV plus $10 million commitment exceeds the $30 million limit.

B — Incorrect: Cedar provides $43.5 million of stressed liquidity, below the $45 million requirement, although its private NAV plus commitments meets the $30 million limit.

C — Correct: Oak provides $51 million of stressed liquidity and has $20 million of private NAV plus $10 million of commitments, satisfying both limits.

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Question 12

Given forecast stability and the committee’s oversight capacity, which principal policy-setting approach is most appropriate for the next three years? Assume every approach would enforce the family limits and include an annual look-through risk review.

• A. An economic-factor optimizer that determines alternative weights from forecast factor premia and covariances.
• B. A conservative alternatives policy bucket alongside the traditional public-equity and core-bond allocations.
• C. A historical asset-class optimizer that determines alternative weights from estimated returns and covariances.

Best answer: B

The allocation method should reflect both the reliability of its inputs and the investor’s ability to govern it. Here, historical and factor-based recommendations are unstable, while the committee can maintain simple policy limits and annual reviews. A conservative alternatives bucket is therefore the most suitable principal framework for the next three years.

The bucket should not treat alternatives as economically independent of traditional assets. Look-through factor analysis remains useful for identifying growth, credit, rate and inflation exposures, including embedded leverage. Funding stress tests and commitment limits remain binding regardless of the allocation method.

Neither optimization approach is inherently unsuitable. More reliable estimates and stronger analytical oversight could support either one. Under the present conditions, however, their apparent precision does not justify making their changing outputs the primary determinant of policy weights.

Answer choices explained:

A — Incorrect: Factor analysis improves exposure representation, but materially changing loadings and premia weaken its suitability as the primary weight-setting mechanism for this committee.

B — Correct: A bounded policy bucket fits the committee’s enforceable controls while annual look-through reviews address economic exposures without relying on unstable optimized weights.

C — Incorrect: The unstable recommended weights and uncertain return inputs make optimizer-determined policy weights poorly matched to the committee’s limited capacity to oversee model changes.

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Case 4

Topic: Portfolio Construction

The Vale Family’s Bond Allocation

Mara Chen manages a $30 million fixed-income sleeve for the Vale family following the sale of its operating business. The sleeve holds $18 million of high-quality benchmark bonds with a modified duration of 6.0 years and $12 million of cash equivalents available immediately at par.

The family wants an additional $12 million of benchmark-equivalent bond exposure for 90 days without selling its original bonds. Other family assets are unavailable to support this sleeve.

Investment-policy requirements

Any implementation must:

• Maintain at least $5 million of unencumbered, same-day liquidity.
• Permit the entire additional position to be closed, with proceeds available, within five business days.
• Avoid relying on sales of the original $18 million bond holding or transfers from other family accounts to meet financing obligations.

Proposed implementations

Chen evaluates each proposal separately. Assume identical first-order bond exposure and ignore basis and convexity differences.

Repo-financed bonds: Purchase $12 million of benchmark bonds using an overnight repo with an 8% initial haircut. The borrowing rate is 4.8% annually. The lender marks collateral daily and may change the haircut or decline renewal. Collateral shortfalls must be met through cash repayment; additional collateral cannot be substituted. The purchased bonds can be sold with next-business-day settlement.

Bond futures: Establish $12 million of benchmark-equivalent exposure through exchange-traded futures. Initial cash margin is 6% of exposure and earns 2.0% annually. The desk estimates a 5.1% annual financing-equivalent charge on the full exposure, after adjusting for coupon and delivery effects but excluding margin-interest effects. Contracts can be closed daily, with margin released within one business day.

Leveraged bond fund: Invest $6 million in a private fund holding $2 of benchmark bonds for each $1 of NAV at inception. Its remaining financing is floating-rate overnight repo at 4.8%. Borrowing is nonrecourse to shareholders, who cannot receive additional cash calls. Units are nontransferable; the only exit is month-end redemption with at least 10 business days’ notice.

Analysis assumptions

Unencumbered cash equivalents earn 4.0% annually. For duration analysis, treat cash, margin collateral, and floating-rate borrowing as having zero duration. Fund debt does not change during the instantaneous duration measurement.

For the 90-day base-case cost comparison, assume unchanged financing rates, haircuts, and margin requirements. Use simple interest and a 90/360 year fraction. The repo and futures positions have identical gross bond returns before financing. Ignore interest effects from variation-margin timing, taxes, management fees, and transaction costs.

The desk also specifies a separate collateral stress: pledged bond prices fall immediately by 4%, and the repo lender raises its haircut from 8% to 20% at renewal. Ignore accrued interest in this stress.

Question 13

Immediately after implementing the leveraged fund proposal, the modified duration of the entire $30 million sleeve is closest to:

• A. 4.8 years.
• B. 7.2 years.
• C. 6.0 years.

Best answer: C

Portfolio duration must reflect the fund’s underlying assets and financing, not merely the market value of its units. The $6 million investment provides $12 million of bond exposure. With zero-duration borrowing, the fund’s equity duration is twice the underlying bonds’ duration, or 12.0 years.

The sleeve also retains its original $18 million of bonds and $6 million of unencumbered cash. Its NAV remains $30 million:

\[ D_{\mathrm{sleeve}} = \frac{18}{30}(6.0) + \frac{6}{30}(12.0) + \frac{6}{30}(0) = 6.0\text{ years}. \]

Thus, although the fund itself is leveraged, the sleeve’s cash allocation offsets that leverage when measuring aggregate interest-rate sensitivity. Look-through exposure prevents understating the risk of the fund allocation.

Answer choices explained:

A — Incorrect: This treats the $6 million fund investment as unleveraged bond exposure, overlooking the fund’s $12 million of underlying bonds.

B — Incorrect: This double-counts the $6 million fund investment alongside its $12 million of underlying bonds, overstating total bond exposure.

C — Correct: The sleeve has $30 million of look-through bond exposure, each dollar with duration 6.0, supported by $30 million of sleeve NAV.

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Question 14

Under the desk’s collateral stress, the additional cash repayment required by the repo lender is closest to:

• A. $2,304,000.
• B. $441,600.
• C. $1,824,000.

Best answer: C

A repo cash call can arise from both declining collateral value and a higher haircut. The required repayment equals the outstanding loan less the borrowing supported by the newly valued collateral under the revised terms.

All amounts below are in millions of dollars:

\[ L_0 = 12(1-0.08) = 11.04. \]\[ V_1 = 12(1-0.04) = 11.52, \qquad L_1 = 11.52(1-0.20) = 9.216. \]\[ \text{Cash repayment} = 11.04-9.216 = 1.824. \]

The $480,000 bond-price loss is therefore not the same as the liquidity demand. The haircut increase reduces permissible financing further, requiring cash even though the family has not sold the bonds. This illustrates why market risk and funding-liquidity risk require separate assessment.

Answer choices explained:

A — Incorrect: This is the new haircut amount on stressed collateral, not the additional cash repayment after recognizing existing equity and the price loss.

B — Incorrect: This captures the borrowing reduction from the price decline while retaining the original 8% haircut, ignoring the increase to 20%.

C — Correct: The original loan is $11.04 million, while the stressed collateral supports only $9.216 million of borrowing, requiring a $1.824 million repayment.

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Question 15

Relative to leaving the implementation cash in cash equivalents, each strategy incurs financing and opportunity costs. For the 90-day base case, the repo implementation’s total cost is closest to:

• A. $14,520 lower than the futures implementation’s cost.
• B. $10,920 lower than the futures implementation’s cost.
• C. $20,520 lower than the futures implementation’s cost.

Best answer: A

Matched economic exposure should be compared using financing charges and the income sacrificed on committed cash. Neither repo equity nor initial futures margin is itself an expense; their relevant cost is foregone cash income.

The repo borrows $11.04 million and commits $960,000 of equity. Its total 90-day cost, in dollars, is:

\[ C_R = 11{,}040{,}000(0.048)(0.25) + 960{,}000(0.04)(0.25) = 142{,}080. \]

Futures financing applies to the full $12 million exposure. Its $720,000 margin earns 2.0% rather than the available 4.0%:

\[ C_F = 12{,}000{,}000(0.051)(0.25) + 720{,}000(0.04-0.02)(0.25) = 156{,}600. \]

Repo therefore costs $14,520 less. This base-case cost advantage does not establish that repo is preferable after considering rollover risk or the family’s liquidity requirements.

Answer choices explained:

A — Correct: Repo financing and foregone cash income total $142,080; futures financing and the margin yield shortfall total $156,600.

B — Incorrect: This includes the opportunity cost of repo equity but omits the $3,600 yield shortfall on futures margin collateral.

C — Incorrect: This compares financing charges alone, ignoring both foregone income on repo equity and the futures margin collateral’s lower yield.

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Question 16

Separately from the collateral stress, the repo dealer announces that it will not renew funding. Bond prices and futures margin requirements are unchanged, and no alternative borrowing is available. Chen can close the repo and reinvest the released equity together with unused cash. Ignoring accrued interest, which replacement preserves the target exposure and meets both implementation liquidity requirements?

• A. Establish $12 million of benchmark-equivalent exposure through futures.
• B. Invest $6 million in the leveraged bond fund.
• C. Hold $12 million of additional benchmark bonds without borrowing.

Best answer: A

Failure to renew repo creates refinancing pressure even when bond prices are unchanged. Selling the incremental bonds and repaying the repo restores the original $12 million cash allocation, while the original $18 million bond holding remains untouched.

Futures preserve the required bond exposure using $720,000 of initial margin, leaving $11.28 million of unencumbered liquidity. Their daily closeout and next-business-day margin release also meet the five-business-day exit requirement.

Fully funding the additional bonds would exhaust the available cash. The leveraged fund would retain sufficient cash outside the fund, but its redemption restrictions fail the separate exit test. Shareholder protection from fund-level cash calls does not make fund units immediately liquid. The decision therefore turns on financing resilience and both mandate constraints, rather than the repo’s lower base-case cost.

Answer choices explained:

A — Correct: Futures require $720,000 of margin, leaving $11.28 million unencumbered, and can be closed with margin returned within one business day.

B — Incorrect: The fund preserves exposure and leaves $6 million liquid, but its redemption notice and schedule violate the five-business-day exit requirement.

C — Incorrect: An unleveraged purchase preserves exposure and permits timely exit, but consumes all $12 million of available cash, violating the $5 million reserve.

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Case 5

Topic: Performance Measurement

Linden Family Manager Review

Nadia Verma, CFA, advises the US-resident Linden family following the sale of its operating business. The family has $300 million of financial assets and proposes allocating $60 million to a global small- and mid-cap equity separately managed account. Verma is conducting due diligence on Alder Equity and Bracken Partners. All amounts are in USD.

Mandate and reported results

The taxable account should pursue long-term capital appreciation while avoiding unnecessary realization of gains. The family accepts sales justified by valuation or a broken investment thesis. Other assets cover planned family distributions.

For manager-capacity assessment, the family requires complete liquidation within 10 trading days, assuming simultaneous proportional withdrawals across all strategy accounts. Daily sales may not exceed 10% of each security’s daily dollar trading volume. No account receives priority.

Both managers offer long-only, unleveraged portfolios. Reported five-year annualized total returns through 31 December 2026 are net of management fees and before client taxes. The mandate’s global-equity benchmark returned 8.8% annually.

Alder’s investment organization

Alder seeks durable businesses trading at least 25% below conservatively estimated value based on normalized cash flows. Its expected holding period is three to five years. It sells when the valuation discount closes or the investment thesis fails.

Analysts prepare valuation cases, balance-sheet stress tests, and explicit thesis-failure indicators before investment approval. Archived versions are time-stamped and linked to approved orders. Verma’s sample includes purchases, rejected recommendations, subsequent updates, and exits.

During the latest year, Alder purchased several businesses experiencing temporary declines in current earnings. The portfolio’s trailing P/E rose from 14 to 23. The original purchase files showed discounts of 25%–32% to normalized value, supported by historical cash conversion and operating assumptions within Alder’s established underwriting ranges.

Six analysts work in primary-and-backup sector pairs. An experienced deputy participates in research reviews, but the founder alone authorizes portfolio sizing and thesis-related exits. The founder owns 85% of voting equity. Trading and operations have trained backups. An annual disaster-recovery exercise successfully tested systems access, execution, settlement, and reconciliation, but did not test investment decisions without the founder.

An independent risk officer can block mandate breaches. A separate operations team reconciles trades, cash, and positions daily against custodian records and investigates exceptions.

Bracken’s investment organization

Bracken purchases cash-generative businesses after operating setbacks when its analysts expect recovery and a sufficient valuation discount. Analysts document recovery milestones, downside scenarios, valuation, and sell triggers before a weekly investment committee meeting. Two of three committee members must approve an investment. Either of two experienced portfolio managers can authorize subsequent sizing and exits within the approved framework.

Traders execute model changes using pre-trade mandate checks and allocations established before execution. An independent risk officer can block limit breaches. Verma’s sampled research files and orders follow this workflow.

Client assets are held at an independent custodian, which sends statements directly to clients monthly. However, Bracken’s head trader also books executed trades, prepares the sole internal reconciliation, and closes reconciliation exceptions. One incorrectly booked trade remained undetected for 19 business days until the monthly custodian statement arrived. Bracken corrected the error at its own expense. Its financial statements received an unqualified external audit opinion.

Bracken’s liquidity data

Bracken identifies a holding representing 4% of every strategy account as the binding liquidity constraint. Its daily dollar trading volume is $20 million. All other holdings permit greater strategy capacity under the family’s liquidation rule.

For the capacity estimate, assume unchanged prices, trading volumes, and proportional portfolio weights as assets increase. There are no offsetting flows. The family’s proposed $60 million allocation is additional to Bracken’s current strategy assets.

Question 17

Which conclusion about Alder’s recent purchases is best supported by Verma’s review?

• A. They establish process repeatability because Alder exceeded its benchmark over five years after management fees.
• B. They indicate style drift because the portfolio’s trailing P/E increased substantially despite its value-oriented philosophy.
• C. They are consistent with its value discipline because pre-trade normalized valuations retain the required discount.

Best answer: C

Process coherence is assessed against the manager’s stated investment philosophy and its actual implementation, not a single portfolio characteristic. Alder defines value using normalized cash flows rather than current earnings. Temporary earnings weakness can therefore raise trailing P/E without eliminating the required valuation discount.

The time-stamped purchase files provide evidence that analysts applied the established valuation hurdle before trading, using assumptions within existing underwriting ranges. This supports consistency rather than an explanation invented after purchase. The broader sample of rejected ideas, updates, and exits also helps evaluate implementation across decisions. Alder’s favorable historical return is supporting evidence, but cannot independently demonstrate either process coherence or repeatability.

Answer choices explained:

A — Incorrect: Benchmark outperformance supports further investigation but does not establish how recent purchases were selected or whether the investment process is repeatable.

B — Incorrect: Temporarily depressed earnings can increase trailing P/E even when purchase prices retain substantial discounts to normalized value under an unchanged investment process.

C — Correct: The original purchase files meet Alder’s stated valuation hurdle using supported normalized cash flows; a higher trailing P/E does not contradict that process.

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Question 18

After accepting the family’s proposed allocation, Bracken’s remaining capacity for additional strategy assets under the family’s liquidity rule is:

• A. $440 million.
• B. $200 million.
• C. $140 million.

Best answer: C

Capacity must reflect aggregate strategy holdings because all accounts are assumed to liquidate proportionally and none receives priority. The binding position can be sold at 10% of its $20 million daily trading volume, or $2 million per day. Over 10 trading days, the permitted sale amount is $20 million.

Let \(A_{\max}\) denote maximum strategy assets, measured in USD millions. Because the limiting holding represents 4% of strategy assets:

\[ A_{\max} = \frac{10 \times 0.10 \times 20}{0.04} = 500. \]

After the proposed allocation, strategy assets would be $360 million. Remaining capacity is therefore \(500 - 360 = 140\) million. This estimate depends on the stated constant-volume and constant-weight assumptions; it is not an unconditional commitment to accept future assets.

Answer choices explained:

A — Incorrect: This subtracts only the family’s allocation from maximum capacity: \(500 - 60 = 440\) million, ignoring Bracken’s existing $300 million.

B — Incorrect: This subtracts only current strategy assets from maximum capacity: \(500 - 300 = 200\) million, omitting the family’s proposed allocation.

C — Correct: Maximum strategy assets are $500 million; remaining capacity after existing assets and the proposed allocation is \(500 - 300 - 60 = 140\) million.

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Question 19

Which change should Verma prioritize to address Alder’s principal remaining source of investment-decision key-person risk?

• A. Hire another senior analyst and expand documented sector-level backup coverage to preserve the security-research process.
• B. Transfer a minority equity stake to senior staff and introduce multiyear vesting to support leadership retention.
• C. Grant the deputy portfolio-sizing and exit authority, and verify its use during planned founder absences.

Best answer: C

Key-person analysis should identify which functions depend on an individual, rather than infer resilience from headcount, ownership incentives, or operational recovery tests. Alder has research backups and demonstrated continuity in trading, settlement, and reconciliation. Its untested dependency is the founder’s exclusive authority over portfolio sizing and thesis-related exits.

The experienced deputy’s participation in research does not establish the right or ability to make binding portfolio decisions. Verma should prioritize formal delegation within Alder’s existing investment framework, followed by evidence from planned founder absences. Reviewing the deputy’s resulting decisions would test both authority and practical competence. Ownership diversification and staff retention remain useful governance measures, but address different risks.

Answer choices explained:

A — Incorrect: Alder already has paired research coverage; additional analytical redundancy would not resolve the dependence on the founder for binding portfolio decisions.

B — Incorrect: Broader ownership and retention incentives may improve organizational stability, but they do not transfer the founder’s exclusive authority over sizing and thesis-related exits.

C — Correct: The founder remains the sole investment decision authority; genuine delegation and observed operation without the founder directly address this untested continuity risk.

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Question 20

If Bracken is selected, which control should Verma require as a condition of funding to most directly remedy the observed reconciliation weakness?

• A. An independent service reconciles trades, cash, and positions daily to custodian records, with breaks escalated to risk.
• B. Compliance certifies monthly custodian statements and reviews the trader’s exception log, with unresolved items escalated to risk.
• C. An external auditor annually samples trade reconciliations and exception closures, with findings escalated to the investment committee.

Best answer: A

Independent custody protects asset safekeeping but does not eliminate a manager’s transaction-processing and recordkeeping risks. At Bracken, the person executing and booking trades also performs the sole internal reconciliation and closes exceptions. This self-review arrangement failed to identify a booking error for 19 business days.

A funding condition should establish independent daily matching of trades, cash, and positions to custodian records, with documented investigation and escalation of breaks. Verma should obtain evidence that the control operates before releasing assets. Monthly statement review and annual testing serve useful oversight purposes, but cannot substitute for timely transaction-level verification. An unqualified financial-statement audit opinion also does not establish that this operating control is effective.

Answer choices explained:

A — Correct: Independent daily reconciliation separates verification from execution and booking, directly addressing the self-review that allowed Bracken’s trade error to remain undetected.

B — Incorrect: Monthly independent review preserves the detection delay demonstrated by the error and continues to rely on the trader’s daily exception identification.

C — Incorrect: Annual control testing can provide assurance about procedures, but does not replace independent daily verification capable of detecting current transaction and booking errors.

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Case 6

Topic: Derivatives and Risk Management

The Bellmere Family’s Currency Program

Amara Wells, CFA, is designing a currency management program for the Bellmere family. The family’s base currency and spending currency are USD. Its objective is to reduce currency risk while retaining its foreign investments, not to earn returns from currency forecasts. A separate reserve funds all near-term USD spending and cannot support derivatives.

Foreign-asset exposures

The family’s foreign investments are held in pooled funds requiring at least ten business days’ redemption notice. The family will not borrow against them. There are no foreign-currency liabilities or other natural hedges.

A hedge ratio is foreign currency sold forward divided by the investment exposure measured in that foreign currency.

Limits and initial proposals

The committee evaluates two separate instantaneous stresses, holding local-currency asset values unchanged:

• Both foreign currencies depreciate 15% against USD. The investment portfolio’s currency-related loss after hedging must not exceed $1.70 million.
• Both foreign currencies appreciate 15% against USD. Cash collateral required on the forwards must not exceed the family’s dedicated $1.80 million USD collateral reserve. Investment gains cannot be monetized within the collateral window.

For these stress calculations, ignore forward points, discounting, and initial margin. The dealer requires cash variation collateral equal to adverse changes in forward values.

The initial decision is restricted to these three proposals, each implemented with rolling one-month forwards:

Expected annual execution and administration costs, including monthly rolls, are 8 basis points of average USD hedge notional. The annual budget is $20,000. Use inception notionals as annual averages for these estimates.

Contingent business-sale receipt

Separately, the family may receive a business-sale earn-out in three months. The receipt could be anywhere from zero to €2 million, with the amount confirmed only on the payment date. It is excluded from the investment exposures and collateral resources above.

The committee permits an option hedge up to the documented maximum receipt. It wants protection against EUR depreciation at $1.20 per EUR, before premium, with no obligation to make further cash payments after inception under any exchange-rate or earn-out outcome. A separate $40,000 premium budget is available and cannot fund collateral.

The dealer offers these three-month instruments:

• A deliverable EUR forward at $1.20 per EUR, with no upfront payment.
• A fully paid, USD cash-settled EUR put with a strike of $1.20 per EUR, costing $0.018 per EUR of notional. The purchaser posts no subsequent collateral.
• A zero-premium collar combining that EUR put with a written EUR call struck at $1.30 per EUR. Written calls can require collateral and USD settlement payments.

Operating mandate

Permitted instruments include spot FX, one- to three-month forwards, and vanilla currency options, including collars. Wells’s firm may execute approved hedges and rebalance within authorized limits, but cannot transfer money from family bank accounts. Only the family treasurer has cash-transfer authority. The family committee retains authority over strategic objectives and risk limits.

USD transfers to the dealer require two business days, with no expedited facility. Daily collateral calls are payable the next business day. Cash already placed with the dealer is immediately available for collateral.

Question 21

Which initial proposal satisfies both stress limits and the annual execution and administration cost budget?

• A. The full hedge.
• B. The proportional partial hedge.
• C. The selective hedge.

Best answer: B

A feasible hedge must satisfy market-risk, liquidity, and cost constraints simultaneously. The EUR and GBP exposures are worth $12 million and $9 million, respectively, giving total foreign exposure of $21 million.

With a 50% proportional hedge, both the residual exposure and the forward notional equal $10.5 million. Thus:

\[ 0.15 \times 10.5 = 1.575 \text{ million USD} \]

This amount is below both the $1.70 million currency-loss ceiling and the $1.80 million collateral reserve. Annual execution and administration costs are:

\[ 0.0008 \times 10{,}500{,}000 = 8{,}400 \text{ USD} \]

A full hedge minimizes the specified currency loss but exceeds available collateral. The selective hedge fits the collateral and cost budgets but leaves excessive EUR risk. Gains on the foreign investments cannot resolve a collateral shortfall because their redemption timing is incompatible with margin settlement.

Answer choices explained:

A — Incorrect: The full hedge eliminates the specified currency loss, but its $3.15 million stressed collateral requirement exceeds the $1.80 million reserve.

B — Correct: The 50% hedge produces a $1.575 million stressed currency loss and the same stressed collateral requirement; its $8,400 annual cost also fits.

C — Incorrect: Hedging only GBP leaves $12 million of EUR exposure unhedged, producing a $1.80 million stressed loss, above the $1.70 million limit.

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Question 22

For this question only, consider a later review of the EUR portfolio. Existing EUR forward sales total €6.00 million. The committee’s planning range for EUR asset value over the remaining hedge term is €6.50 million to €9.50 million. A single fixed hedge notional must maintain a hedge ratio between 40% and 70% for every asset value in that range. Which adjustment minimizes current notional turnover? Offsetting trades have the same maturity as the existing forwards.

• A. Buy €1.45 million forward.
• B. Sell €0.65 million forward.
• C. Buy €0.40 million forward.

Best answer: A

When asset value is uncertain, a fixed notional must be tested against both ends of the exposure range. The highest hedge ratio occurs at the lowest asset value; the lowest hedge ratio occurs at the highest asset value.

Let \(H\) be EUR forward sales, measured in millions of euros. The feasible notional range is:

\[ 0.40 \times 9.50 \le H \le 0.70 \times 6.50 \]\[ 3.80 \le H \le 4.55 \]

Existing sales of €6.00 million exceed the upper feasible notional. Minimizing turnover therefore requires reducing sales only to €4.55 million, by buying €1.45 million forward with the same maturity. The remaining hedge ratio ranges from 47.9% to 70.0%. Using a midpoint exposure would ignore the risk of overhedging when asset value falls.

Answer choices explained:

A — Correct: This leaves €4.55 million sold forward, producing hedge ratios from 47.9% to 70.0% and requiring the smallest reduction consistent with both boundaries.

B — Incorrect: This sets the hedge at 70% of the highest asset value. The resulting €6.65 million notional reaches 102.3% at the lowest value.

C — Incorrect: This uses the €8.00 million midpoint to set a 70% hedge. The remaining €5.60 million notional reaches 86.2% at the lowest asset value.

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Question 23

Which instrument meets the earn-out’s downside-protection, premium-budget, and subsequent cash-obligation constraints?

• A. Sell €2 million forward at $1.20 per EUR.
• B. Enter the €2 million zero-premium EUR collar.
• C. Purchase the €2 million EUR put for $36,000.

Best answer: C

An uncertain receipt creates an asymmetric hedging need: the family wants protection if EUR depreciates but cannot accept a binding delivery or payment obligation if the receipt disappears. A purchased EUR put provides a right rather than an obligation, while its fully paid, cash-settled structure avoids subsequent collateral requirements.

The premium is:

\[ 2{,}000{,}000 \times 0.018 = 36{,}000 \text{ USD} \]

This fits the separate $40,000 budget. The $1.20 strike provides the requested protection before premium, and the committee explicitly permits option coverage of the maximum documented receipt. A forward or collar can eliminate the upfront premium, but each introduces obligations that may require cash when no earn-out is received. Zero upfront cost is therefore not equivalent to liquidity suitability.

Answer choices explained:

A — Incorrect: The forward creates a binding obligation and potential collateral calls. If the earn-out is absent and EUR appreciates, the family must fund the position.

B — Incorrect: The written EUR call creates potential collateral and settlement obligations when EUR appreciates, even if the family receives no earn-out.

C — Correct: The premium is within the $40,000 budget. The fully paid put protects against EUR depreciation and creates no subsequent family cash obligation.

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Question 24

Which operating arrangement best fits the family’s existing delegations and collateral settlement requirements?

• A. The manager reports daily collateral calls; the treasurer initiates dealer funding upon receiving each notice; the committee approves strategic-limit changes.
• B. The manager forecasts stressed collateral and directly funds the dealer before hedge execution; the committee approves strategic-limit changes.
• C. The manager forecasts stressed collateral; the treasurer pre-funds the dealer before hedge execution; the committee approves strategic-limit changes.

Best answer: C

Currency risk reduction is implementable only if the operating process can meet cash obligations on time. Here, reacting to an actual collateral notice is insufficient: transfers take two business days, while calls are due the next business day. The manager should forecast stressed collateral needs early enough for the treasurer to establish and maintain a prefunded buffer before executing hedges.

Responsibilities should follow existing authority. The manager executes trades and monitors exposures; the treasurer controls cash transfers; the committee approves changes to strategic objectives and limits. Monitoring should cover residual currency risk, hedge-ratio drift as asset values change, stressed collateral needs, upcoming rolls, forward carry, and execution costs. Hedge profits or losses alone are not an adequate success measure because an effective hedge can lose money while offsetting favorable currency movements in the investments.

Answer choices explained:

A — Incorrect: A transfer initiated after a collateral notice takes two business days, but the call is due the next business day.

B — Incorrect: Advance funding addresses settlement timing, but the manager lacks authority to transfer family cash. That responsibility remains with the treasurer.

C — Correct: Pre-funding accommodates the two-business-day transfer process, while trading, cash movement, and strategic oversight remain with their authorized parties.

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Case 7

Topic: Ethical and Professional Standards

Family Portfolio and Team Conduct Review

Mira Sen, CFA, is a portfolio manager at Linden Private Wealth. Evan Chao, CFA, provides research for her team. They manage the taxable portfolio of the Duarte family, whose wealth originated in publicly traded Caldra Components. Linden is reviewing the following investment decisions and conduct.

Portfolio implementation

In January, the family’s $30 million portfolio included a 40% position in Caldra. Its approved investment policy statement recognizes this legacy concentration and provides for reducing it over 18 months while managing taxes. The family’s other objectives are long-term growth, moderate overall risk, and funding a $2 million payment nine months later.

Sen reserved $2.2 million in Treasury bills maturing before the payment. She also reallocated existing diversified assets into a $6 million diversified equity sleeve. The remainder of the portfolio consists of diversified investment-grade bonds. Her documented analysis evaluated the equity sleeve within the total portfolio and found it consistent with the approved risk budget.

The equity strategy was new to Sen. Before implementation, she completed relevant training and demonstrated to an experienced internal specialist that she understood its exposures, assumptions, liquidity, and stress behavior. She used an external research provider after reviewing its qualifications, analytical methods, data quality, independence, and research timeliness. She challenged its assumptions but did not independently reproduce every underlying model.

By the end of August, the equity sleeve had lost 14%, within its documented stress range. The Treasury-bill reserve remained intact, and the family’s payment could still be funded without selling equities.

Client-funded incentive

On 2 September, the family offered Sen a personal bonus, separate from Linden’s fees, if its portfolio exceeded an agreed return objective over the following year. The family signed a document describing and consenting to the arrangement.

Sen disclosed all terms to Linden’s chief executive, who approved the arrangement orally. Sen accepted the offer before obtaining any written employer consent. Linden’s policies do not prohibit client-funded incentives.

Caldra research and scheduled sales

The family’s Caldra sale plan requires Sen to approve each order separately. No standing orders or binding trading instructions have been placed.

• 3 September: Chao combined public filings with nonpublic comments from several independent distributors. Each comment concerned a minor local demand trend and was nonmaterial. His analysis supported continuing the planned sales.
• 6 September: A Duarte family member who serves on Caldra’s board sent Sen an authentic confidential board paper for personal liquidity planning. Sen read it. The paper showed a major, unannounced earnings shortfall and an impending breach of a bank covenant, contrary to Caldra’s public guidance.
• 9 September: Caldra is scheduled to publish the material contents of the board paper in its earnings announcement.

The next sale order has not yet been submitted.

Proposed departure

Sen plans to leave Linden at the end of September and establish a competing wealth-management firm. She is considering several preparatory activities, all using personal funds and nonworking time.

For this case, assume applicable local law permits soliciting an employer’s clients before departure, and no employment agreement restricts competition. Linden owns its client-review files and has not authorized Sen to take copies. The Duarte family has offered written permission for her to copy its review files.

Question 25

Which assessment of Sen’s implementation of the diversified equity sleeve is most consistent with the Code and Standards?

• A. Sen’s documented preparation and total-portfolio review support compliance despite the equity sleeve’s subsequent investment loss.
• B. Sen violated the diligence standard because she relied on external research without independently reproducing every underlying model.
• C. Sen violated the suitability standard because the equity sleeve lost value while the family’s required payment was approaching.

Best answer: A

The Code expresses broad ethical principles, including diligence and independent judgment. The Standards impose specific obligations concerning competence, suitability, and a reasonable investment basis. Neither makes an adverse investment outcome, by itself, evidence of misconduct.

Sen’s preparation supports compliance with Standard I(E), Competence. Her provider review and scrutiny of assumptions support Standard V(A), Diligence and Reasonable Basis; reliance on qualified external research does not require duplicating every model. Under Standard III(C), Suitability, the investment must be assessed in the context of the total portfolio and the client’s circumstances. The long-term equity allocation was within the approved risk budget, while Treasury bills separately covered the approaching payment. The documented process, rather than the subsequent return alone, determines the ethical assessment.

Answer choices explained:

A — Correct: Sen established competence, evaluated the research, assessed portfolio-level suitability, and protected the payment reserve; the subsequent loss does not itself establish misconduct.

B — Incorrect: Standard V(A) permits reliance on external research with a reasonable basis; Sen assessed the provider’s work and challenged its assumptions.

C — Incorrect: The payment was separately funded with maturing Treasury bills, so the equity loss did not require liquidation or establish a liquidity mismatch.

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Question 26

Under Standard IV(B), Additional Compensation Arrangements, how should Sen’s acceptance of the family-funded bonus be assessed?

• A. It complied because the employer approved the arrangement orally and the client provided written consent.
• B. It violated the Standard because client-funded performance incentives are prohibited even when the employer approves them.
• C. It violated the Standard because the employer had not provided written consent before Sen accepted the arrangement.

Best answer: C

Standard IV(B) requires written consent from all parties involved before a member accepts compensation or benefits that compete with, or could reasonably conflict with, the employer’s interests. A personal performance bonus can create competing incentives concerning risk-taking, attention, and service to other clients.

The family documented its consent, but Linden’s chief executive approved only orally. Sen therefore accepted without satisfying the employer-consent requirement. The absence of a prohibitory firm policy does not remove the Standard’s requirement. Written consent can include an appropriate electronic communication; it need not be a particular paper form. Disclosure of the conflict under Standard VI(A), where applicable, is a separate obligation and does not substitute for the written consent required by Standard IV(B).

Answer choices explained:

A — Incorrect: The client’s written consent does not replace the employer’s written consent, which Standard IV(B) requires before acceptance.

B — Incorrect: Client-funded incentives are not categorically prohibited; they may be accepted with prior written consent from all parties involved.

C — Correct: The bonus could conflict with Linden’s interests, making prior written employer consent necessary; oral approval does not satisfy that requirement.

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Question 27

Under Standard II(A), Material Nonpublic Information, when does the team first become prohibited from submitting further discretionary Caldra sale orders?

• A. 3 September, when Chao combines public filings with the nonpublic comments from distributors.
• B. 6 September, when Sen reads the confidential board paper sent by the family member.
• C. 9 September, when Caldra is scheduled to confirm the board paper’s contents publicly.

Best answer: B

Standard II(A) prohibits acting, or causing others to act, on material nonpublic information. Chao’s initial research combines public information with nonmaterial nonpublic observations, which is permissible under mosaic theory even if his resulting investment conclusion is significant.

The information environment changes on 6 September. The authentic board paper describes a major earnings shortfall and impending covenant breach inconsistent with public guidance. These developments would reasonably matter to investors and have not been publicly disseminated.

The earlier sale plan does not permit Sen to make fresh discretionary trading approvals while possessing this information. She must stop submitting orders while the information remains material and nonpublic. Appropriate internal compliance notification can support trading restrictions and information controls without broadly disseminating the confidential paper.

Answer choices explained:

A — Incorrect: Mosaic theory permits analysis combining public information with nonmaterial nonpublic information; the distributor comments do not themselves trigger a trading prohibition.

B — Correct: The paper contains material nonpublic information about earnings and a covenant breach, triggering the trading restriction when Sen reads it.

C — Incorrect: Waiting until public confirmation would permit trading while the team possesses material nonpublic information; the restriction begins before publication.

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Question 28

Which proposed activity by Sen is consistent with Standard IV(A), Loyalty, before her employment at Linden ends?

• A. Seeking existing Linden clients’ commitments now to transfer their accounts after her departure.
• B. Copying the Duarte review files now after obtaining the family’s written permission.
• C. Registering the new business and leasing office premises without contacting Linden’s clients.

Best answer: C

Standard IV(A) distinguishes preparing to compete from competing with an employer while still employed. Sen may establish a business entity and arrange premises using her own time and resources, provided she does not solicit Linden’s clients or misuse its confidential information or property.

Seeking client commitments before departure constitutes solicitation even when account transfers would occur later. The hypothetical local law permits that conduct, but the stricter professional requirement still applies. Legality alone therefore does not establish compliance.

Client permission also does not transfer ownership of employer records or authorize their removal. The family can consent concerning its confidential information, but Linden separately controls its own files. Legitimate preparation for departure need not violate loyalty merely because the employer could eventually lose business.

Answer choices explained:

A — Incorrect: Soliciting Linden’s clients while still employed breaches employer loyalty, even if transfers occur later and local law permits the solicitation.

B — Incorrect: The family’s permission does not authorize taking Linden-owned records; Sen needs employer authorization to retain copies of those files.

C — Correct: These are permissible preparations to compete, using Sen’s own resources without current solicitation or misuse of Linden’s property.

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Case 8

Topic: Private Wealth Pathway

Retirement spending for the Vale household

Nora and Elias Vale, ages 67 and 69, are retired. They have $1.6 million in financial assets and a residence worth $1.2 million. They intend to remain in the home throughout their 25-year planning horizon and will neither sell it nor borrow further against it. All amounts are nominal USD. Ignore taxes and investment-management fees.

Household cash flows

The following amounts represent current annual income and recurring spending:

The public benefit has uncapped annual indexation with no lag. All recurring cash flows occur at year-end, with the first inflation adjustment at the end of year 1. Routine spending exceeding pension and benefit income is funded from the portfolio.

General spending includes food, utilities, property taxes, maintenance, and home insurance, but excludes imputed rent. The mortgage is an interest-only loan with a fixed 5% rate, a $240,000 balance, and principal payable at the end of year 8.

For its funding analysis, the adviser maps the public benefit to healthcare spending, $12,000 of the fixed pension to mortgage interest, and continued homeownership to the shelter services the Vales consume. Home operating costs remain within general spending.

The adviser uses two constant annual inflation scenarios:

Preservation priorities

The Vales require a $100,000 cash reserve for their first two years of planned portfolio withdrawals and a separate, one-time $35,000 medical procedure due in six months. This reserve is included in their financial assets and is sufficient under either scenario.

Their priorities are to retain this immediately available reserve, assure payment of the mortgage principal regardless of inflation or capital-market conditions, and preserve the purchasing power of remaining long-term spending. They accept market risk in the long-term spending portfolio, but not in assets dedicated to the mortgage payoff.

Available investments include cash, default-free nominal government bonds, eight-year nominal zero-coupon government bonds, CPI-linked government bonds and bond funds, diversified equities, and a private property fund.

Property fund proposal

The property fund prohibits redemptions for seven years. Its rents are not contractually CPI-indexed. The manager provides the following year-1 stress estimates under the high-inflation scenario:

Property value is estimated by direct capitalization of net operating income. Operating expenses exclude financing costs. The fund’s only asset is this property, and its only liability is $12 million of fixed-rate debt, unchanged under stress. It retains no cash, and its unit count is unchanged. Distributions are excluded from the requested change in equity net asset value.

Question 29

Which pairing in the adviser’s funding map leaves the assigned spending exposed to an inflation mismatch?

• A. Healthcare spending paired with the public benefit.
• B. Mortgage interest paired with part of the fixed pension.
• C. Shelter services paired with continued homeownership.

Best answer: A

Contractual indexation protects purchasing power only relative to the specified index. The public benefit and healthcare spending both begin at $30,000, but healthcare grows faster than broad CPI in both scenarios. Consequently, the benefit covers a declining proportion of healthcare costs even though it is fully CPI-indexed. This is inflation basis risk, not a failure of the benefit’s contractual adjustment. By contrast, fixed pension income can match fixed mortgage interest without indexation because the assigned liability is nominal. Continued homeownership provides an in-kind hedge for shelter consumption, although it does not eliminate inflation exposure in maintenance, insurance, or property taxes.

Answer choices explained:

A — Correct: Healthcare costs grow 2 percentage points faster than the benefit’s CPI adjustment, so initially equal amounts develop an increasing funding shortfall.

B — Incorrect: Both the assigned pension income and mortgage interest are fixed nominal amounts, so inflation does not create a mismatch between these cash flows.

C — Incorrect: Continued ownership supplies shelter services directly; maintenance, property taxes, and insurance are separate cash expenses rather than services hedged by occupying the home.

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Question 30

Compared with the base scenario, the high-inflation scenario increases the required portfolio withdrawal at the end of year 5 by an amount closest to:

• A. $2,500.
• B. $15,900.
• C. $10,700.

Best answer: C

The funding effect depends on net spending after retirement income, not on spending inflation alone. Let \(W_5(i)\) be the year-5 portfolio withdrawal and \(i\) the annual CPI rate expressed as a decimal. After five annual adjustments:

\[ W_5(i)=60{,}000(1+i)^5+30{,}000(1+i+0.02)^5+12{,}000-48{,}000-30{,}000(1+i)^5. \]

Using 2% CPI produces a withdrawal of approximately $33,622. Using 5% CPI produces approximately $44,365. The difference is $10,743, closest to $10,700. Higher benefit income partly offsets higher spending, whereas the pension and mortgage interest remain unchanged. The one-time medical procedure occurs before year 5, and the mortgage principal is due in year 8; neither enters this recurring year-5 withdrawal.

Answer choices explained:

A — Incorrect: This incorrectly indexes the fixed pension to CPI, subtracting a nonexistent $8,266 income increase from the actual additional portfolio withdrawal.

B — Incorrect: This captures the increase in spending but omits the additional $5,166 of CPI-linked benefit income received under the high-inflation scenario.

C — Correct: The year-5 withdrawal rises from approximately $33,622 to $44,365, an increase of $10,743, or $10,700 rounded to the nearest $100.

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Question 31

Under the property fund’s year-1 stress estimates, the percentage change in equity net asset value, excluding distributions, is closest to:

• A. -28.3%.
• B. -14.2%.
• C. +6.0%.

Best answer: A

Direct capitalization converts net operating income into property value; equity NAV then deducts outstanding debt. All calculations below are in millions of dollars. Initially, net operating income is 1.2, giving property value of 24 at a 5% capitalization rate. Deducting debt of 12 leaves equity NAV of 12. Under stress, net operating income becomes 1.236. Capitalizing it at 6% gives property value of 20.6 and equity NAV of 8.6.

\[ \text{Equity NAV change}=\frac{8.6-12}{12}=-28.33\%. \]

Rental revenue rises, but faster expense growth and a higher capitalization rate undermine capital preservation. Fixed debt magnifies the percentage loss borne by equity investors. Real-asset exposure therefore does not provide contractual inflation protection. This NAV change excludes distributions and is not the fund’s total return.

Answer choices explained:

A — Correct: Equity NAV falls from $12 million to $8.6 million after deducting unchanged debt, a decline of approximately 28.3%.

B — Incorrect: This is the percentage decline in gross property value, from $24 million to $20.6 million, and ignores leverage’s effect on equity NAV.

C — Incorrect: This holds the capitalization rate at 5%, producing a hypothetical $12.72 million equity value instead of applying the stressed 6% capitalization rate.

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Question 32

Which allocation approach best meets the Vales’ stated preservation and liquidity priorities?

• A. Retain the cash reserve, fund the mortgage payoff with a CPI-linked bond fund, and allocate long-term spending assets across long-duration nominal bonds and diversified equities.
• B. Retain the cash reserve, fund the mortgage payoff with diversified equities, and allocate long-term spending assets across CPI-linked bonds and the private property fund.
• C. Retain the cash reserve, match the mortgage payoff with a nominal zero-coupon government bond, and allocate long-term spending assets across CPI-linked bonds and diversified equities.

Best answer: C

Preservation requires matching assets to the nature and timing of each need rather than treating every obligation as inflation-sensitive. The cash reserve supports immediate withdrawals and the medical procedure without forced asset sales. A default-free nominal zero-coupon bond with $240,000 face value and maturity at the end of year 8 funds the fixed mortgage principal if held to maturity. Its nominal payoff is appropriate for this nominal obligation. Remaining spending has a much longer horizon and substantial inflation exposure. CPI-linked bonds provide contractual protection against broad CPI, while diversified equities add long-term growth capacity without guaranteeing an inflation hedge. Healthcare basis risk remains. The private property fund may be considered a long-term risk asset, but its lockup and uncertain value prevent it from replacing liquid reserves or matched liability assets.

Answer choices explained:

A — Incorrect: A CPI-linked fund offers no fixed nominal maturity value, while long-duration nominal bonds leave real spending exposed to unexpected inflation.

B — Incorrect: Equities may support long-term real growth, but their year-8 value cannot assure the fixed mortgage payoff, even with the near-term cash reserve retained.

C — Correct: Cash serves near-term needs, a maturity-matched nominal bond funds the fixed balloon, and the remaining mix addresses long-term purchasing-power risk.

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Case 9

Topic: Private Wealth Pathway

Bellmont Family Charter Review

Amira Das, CFA, advises the Bellmont family’s jointly held reserve and its members’ separate portfolios. Following the sale of the family business, she is helping review a charter adopted 12 years earlier. Its purposes were to protect shared commitments, prepare younger members for decision-making, and provide consistent procedures for collective decisions and disputes.

Wealth and membership changes

Most sale proceeds were distributed to individually owned accounts. A jointly owned $12 million reserve fully prefunds approved education and philanthropic commitments. No individual account guarantees the reserve’s obligations.

The charter currently calls for all investment portfolios to follow one growth-oriented model. The founders now emphasize stable retirement spending. Within each of the family’s two descendant branches, one member needs most invested capital for a business purchase in three years, while another seeks growth over 25 years and accepts substantial interim volatility.

Members have signed agreements committing them to the charter’s procedures. However, each account owner retains legal authority over personal assets; charter decisions do not themselves authorize trading or transfer property rights.

The assembly currently has six eligible voters: two founders and four adult descendants. Two spouses participate in education sessions and consultation but cannot vote. A proposed amendment would admit these spouses as voters without changing ownership interests.

Existing decision rules

• Permanent amendments require circulation of the full text at least 60 calendar days before a ballot, consultation with all affected family members, including nonvoters, and affirmative votes from at least 75% of all members eligible to vote on the ballot date. Secure written ballots are permitted.
• The three-person council administers the charter. Annual meetings must be attended in person. When travel is impractical, the council may grant a one-meeting remote-attendance waiver. The same continuing circumstance cannot support renewal.
• The council cannot create standing exceptions, amend the charter, or shorten amendment notice requirements.
• All voting members receive equal information about jointly held funds.

Reporting and attendance

Legacy reporting packets combine reserve reports with members’ personal balance sheets and portfolio schedules. Existing disclosure consents name only the six current voters. Branch codes used in personal schedules are recognizable to everyone in the family. The prospective spouse members have signed confidentiality undertakings, but no account owner has extended personal-disclosure consent to them.

The reserve’s independent custodian can verify its assets and funding status, and its commitments are documented separately from members’ personal finances.

Two current voters have moved abroad indefinitely and cannot practically travel to the next annual meeting, which is in 42 days. Neither has previously used a waiver for this relocation. No notice of an attendance amendment has been issued. Family counsel confirms that remote participation is lawful, and secure access and voting controls are available. The family wants a workable arrangement for future annual meetings as well as the upcoming meeting.

Question 33

Which investment-policy amendment is most consistent with the charter’s purpose and the family’s post-sale circumstances?

• A. Retain a shared reserve policy and common review standards, with owner-specific investment mandates for separately held accounts.
• B. Retain a shared reserve policy and common review standards, with one mandatory allocation for all owners within each family branch.
• C. Retain a shared reserve policy and common review standards, with one family-wide allocation and owner-specific withdrawal schedules.

Best answer: A

A family governance framework should create common decision procedures without requiring identical investment objectives. The business sale changed both the ownership structure of financial wealth and the purposes those assets must serve. The jointly owned reserve still supports collective commitments and therefore warrants a shared policy and oversight. Separately owned accounts should instead have mandates reflecting each owner’s liquidity requirements, horizon, and risk tolerance. Branch-level uniformity is insufficient because needs differ within each branch. Likewise, personalized withdrawals do not make a common growth allocation appropriate for every owner. The amendment establishes a common planning and review process while preserving individual investment objectives and each owner’s authority to authorize implementation.

Answer choices explained:

A — Correct: Common oversight preserves shared commitments, while owner-specific mandates accommodate retirement spending, near-term business purchases, and long-horizon growth objectives.

B — Incorrect: Investment needs differ within each branch, so a branch-level allocation would still fail to accommodate members’ contrasting liquidity needs and investment horizons.

C — Incorrect: Different withdrawal schedules do not resolve the underlying risk mismatch between portfolios funding purchases in three years and portfolios pursuing growth over 25 years.

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Question 34

Assume all notice and consultation requirements have been met for the spouse-admission proposal. At the ballot, four current voters support it, one opposes it, and one abstains. Both prospective spouse members also submit affirmative ballots. How should Das classify the result under the existing charter?

• A. Adopted: the six affirmative votes represent 75% when the prospective spouse members are included in the electorate.
• B. Adopted: the four affirmative votes represent 80% of current members casting a yes-or-no ballot.
• C. Not adopted: the four valid affirmative votes are fewer than the five required from the current electorate.

Best answer: C

An amendment derives its authority from the rules in effect when the ballot occurs. The electorate therefore consists of the six existing eligible members, not the members who would become eligible if the proposal passed. The threshold calculation is \(0.75 \times 6 = 4.5\), so at least five affirmative votes are necessary. Four affirmative votes do not meet that requirement. An abstention does not remove an eligible member from a threshold defined using the entire electorate. Consultation rights and voting rights are also distinct: the spouses may participate in deliberation without acquiring a vote before their admission is validly approved.

Answer choices explained:

A — Incorrect: The spouses do not yet have voting rights. Their ballots cannot supply the authority needed to adopt the amendment that would admit them.

B — Incorrect: The charter bases approval on all eligible voters, not only those casting a yes-or-no ballot; the abstaining member remains in the denominator.

C — Correct: Approval requires at least 75% of six eligible voters, meaning five affirmative votes; only four valid affirmative votes were received.

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Question 35

If a future valid amendment admits the spouses as voters, which reporting arrangement best provides common-fund oversight while respecting the existing scope of personal-disclosure consent?

• A. Provide complete legacy packets to all voters under confidentiality undertakings; treat voting membership as authorization to extend the existing disclosure consents.
• B. Provide reserve holdings, commitments, and verified funding information to all voters; share personal schedules only with each owner’s recipient-specific consent.
• C. Provide reserve reports and personal schedules to all voters; replace account-holder names with familiar branch codes to preserve personal financial privacy.

Best answer: B

The right to participate in collective governance is distinct from permission to inspect another member’s personal finances. New voters need equivalent information about reserve assets, commitments, and funding to exercise their governance responsibilities. Because personal accounts do not guarantee reserve obligations, this oversight can be supported without disclosing personal portfolios. Existing consents identify specific recipients; neither voting admission nor confidentiality undertakings automatically expand those permissions. Removing names is also ineffective when family members recognize the replacement codes. A workable reporting amendment therefore separates the common-fund packet, distributed equally to all voters, from personal schedules disclosed only under appropriately scoped owner consent.

Answer choices explained:

A — Incorrect: A recipient’s confidentiality undertaking does not authorize Das to disclose personal records beyond the recipients named in the account owner’s consent.

B — Correct: The reserve information supports equal collective oversight, while recipient-specific consent preserves each owner’s control over disclosure of separately held financial information.

C — Incorrect: Recognizable branch codes leave personal schedules identifiable, so replacing names does not resolve the absence of authorization to disclose them to new recipients.

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Question 36

Which implementation plan best enables the relocated voters to participate in the upcoming annual meeting and establishes a durable arrangement within the charter’s existing powers?

• A. Record a permanent hybrid-meeting amendment at the upcoming meeting, communicate it now, and let the council waive the 60-day notice requirement.
• B. Record the available one-meeting waivers, communicate their limits, and pursue a permanent hybrid-meeting amendment through the prescribed process.
• C. Record a standing remote-attendance exception for the relocated members, communicate it to all members, and have the council renew it annually.

Best answer: B

Temporary relief and permanent policy change require different authority. The council can use the available one-meeting waivers to accommodate the upcoming meeting, but indefinite relocation requires a durable participation rule. Because only 42 days remain and no amendment notice has been issued, a permanent attendance amendment cannot satisfy the 60-day notice requirement before that meeting. Das should communicate the waivers’ limited scope and begin consultation and formal notice for a prospective amendment. The proposal should address equal participation, access controls, and voting procedures for all affected members, not merely the relocated members. After approval, the family office should distribute the revised charter and effective date and review the arrangement after implementation.

Answer choices explained:

A — Incorrect: Only 42 days remain, and the council has no authority to shorten the 60-day amendment notice requirement.

B — Correct: The waivers enable immediate participation, while consultation, full notice, and the required ballot provide authority for a durable change addressing indefinite relocation.

C — Incorrect: Annual review does not make a standing exception permissible; the council cannot renew waivers for the same continuing relocation or create permanent exceptions.

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Case 10

Topic: Private Wealth Pathway

Nolan Family Cash-Flow Plan

Mira Desai, a private wealth adviser, is preparing the Nolan family’s 2027 liquidity plan. The couple jointly owns the investment accounts and will borrow jointly. All amounts are nominal US dollars. The family is tax resident solely in the hypothetical jurisdiction described below; no cross-border taxes apply.

Scheduled cash flows

The family requires at least $300,000 of immediately available operating cash at all times. Securities and undrawn credit do not count toward this reserve.

Recurring receipts and spending occur each month-end, before other payments on that date. The property payment is contractual and cannot be deferred. The business sale remains under negotiation; its closing date is uncertain, and proceeds cannot be used before settlement. Expected proceeds are net of all sale-related taxes and costs.

Cash earns no interest. There are no other cash flows unless stated in a question.

Investment resources

The family holds:

• Pledged public equities: Market value of $2,000,000, supporting a securities-backed credit facility. These securities are excluded from authorized sales during the planning period.
• Unpledged public equities: Market value of $1,500,000. Every holding has a tax basis equal to 50% of its current market value.
• Private fund interests: Value of $3,000,000, with no redemption rights before 2030 and no eligibility as loan collateral.

Under the assumed tax rules, realized gains on unpledged equities are taxed at 20%, with tax paid at settlement. Equity sales settle within two business days. Ignore transaction costs. Market values remain unchanged unless a question specifies otherwise.

Credit facility

The existing committed facility has these terms:

• Outstanding principal cannot exceed 40% of the current value of pledged equities.
• A draw on 30 June incurs no June interest. Thereafter, cash interest is paid monthly, beginning 31 July, at a fixed rate of 0.5% per month, equivalent to 6% annually without compounding.
• All principal is due on 30 November 2027, after that month’s operating cash flows and interest payment.
• Renewal is solely at the lender’s discretion and cannot be assumed.
• Any borrowing-base breach must be cured by principal repayment within two business days.
• There are no facility fees, and interest is not tax deductible.

Desai evaluates the funding alternatives and stress scenarios independently.

Question 37

To make the property payment on 30 June while maintaining the minimum cash reserve, the family’s additional funding requirement is closest to:

• A. $660,000
• B. $360,000
• C. $700,000

Best answer: A

A liquidity budget must match available funds to the actual payment date and preserve the required reserve. Each month generates $40,000 of net operating cash, so six months contribute $240,000 before the property payment. Defining the additional funding requirement as G, in dollars:

\[ G=1{,}400{,}000+300{,}000-\left[800{,}000+6(80{,}000-40{,}000)\right]=660{,}000. \]

The expected September business-sale proceeds cannot fund a contractual June payment unless another source bridges the intervening period. A favorable expected year-end cash position therefore does not establish that the family can meet every obligation when due.

Answer choices explained:

A — Correct: Six months of net operating inflows add $240,000 to opening cash; funding the property payment and retaining $300,000 therefore requires $660,000.

B — Incorrect: This amount covers only the negative cash balance after the property payment; it omits the additional $300,000 required to maintain the reserve.

C — Incorrect: This amount excludes June’s $40,000 net operating inflow, although June receipts and spending occur before the property payment.

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Question 38

Desai considers a plan that assumes no business-sale proceeds arrive before facility maturity. The family combines one 30 June line draw with unpledged-equity sales settled by that date and ends June at the minimum reserve. Principal remains unchanged until maturity, and only July–November net operating inflows may fund interest and principal repayment. To minimize gross equity sales, the largest feasible line draw is closest to:

• A. $188,679
• B. $195,122
• C. $200,000

Best answer: B

The borrowing amount must be limited by a dependable repayment source, not merely by collateral capacity. July through November provides five monthly operating surpluses of $40,000, totaling $200,000. Because principal remains outstanding throughout those months, a draw of L dollars incurs five interest payments of 0.005L:

\[ L+5(0.005L)\le200{,}000,\qquad L_{\max}=\frac{200{,}000}{1.025}\approx195{,}122. \]

The collateral limit is not binding at this draw size. Funding the remaining June requirement with settled, after-tax equity-sale proceeds allows the family to preserve its reserve and repay the line without relying on the business sale or renewal. Maximizing this independently repayable draw minimizes the required gross equity liquidation under the specified plan.

Answer choices explained:

A — Incorrect: This amount applies a full year’s 6% interest to the repayment budget rather than five monthly charges, unnecessarily increasing the required equity sales.

B — Correct: Five months provide $200,000 for debt service; principal plus five monthly interest charges permits a draw of approximately $200,000 divided by 1.025.

C — Incorrect: This draw allocates all five months of net operating inflows to principal and leaves no funding for $5,000 of interest.

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Question 39

For this question only, assume the family finances the entire June funding requirement with the line, and the business sale settles on 31 December 2027 instead of September. Pledged equities remain worth $2,000,000. The lender offers the following mutually exclusive amendments, with no amendment fees and all other terms unchanged. Which amendment allows the family to avoid public-equity sales and maintain its reserve until business-sale proceeds repay the loan?

• A. Extend the committed maturity to 31 January 2028.
• B. Increase the collateral advance rate from 40% to 50%.
• C. Reduce the fixed annual interest rate from 6% to 3%.

Best answer: A

The delayed sale creates a maturity mismatch rather than a shortage of collateral capacity. Financing the June requirement produces $660,000 of principal, below the existing $800,000 borrowing limit. Monthly interest is $3,300, comfortably covered by the $40,000 monthly operating surplus, so the family can maintain its reserve while awaiting the sale.

However, adequate collateral and affordable interest do not eliminate the contractual obligation to repay in November. Extending the committed maturity through January provides a bridge beyond the revised December settlement. The $1,200,000 net sale proceeds can then repay principal. The extension must be committed; an expectation of discretionary renewal would leave the refinancing risk unresolved.

Answer choices explained:

A — Correct: The extension places contractual maturity after the revised sale date, while monthly operating surpluses cover interest without consuming the minimum reserve.

B — Incorrect: A larger borrowing base does not extend the November maturity; any additional borrowing under the same facility would also become due then.

C — Incorrect: Lower interest reduces carrying costs, but accumulated operating cash remains insufficient to repay principal in November while preserving the reserve.

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Question 40

For this question only, the family draws $600,000 on 30 June, sells enough unpledged equities to fund the remaining property requirement, and ends June at the minimum reserve. It makes no principal repayments through August. On 31 August, after operating cash flows and interest, pledged equities fall to $1,200,000; unpledged-equity prices are unchanged. Using all cash above the reserve first, the minimum gross unpledged-equity sale needed to cure the borrowing-base breach is closest to:

• A. $46,000
• B. $133,333
• C. $51,111

Best answer: C

A collateral decline can create a cash demand even when operating cash flow is positive. The revised borrowing limit is 40% of $1,200,000, or $480,000, requiring a $120,000 principal repayment.

July and August each generate $40,000 before financing costs. Monthly interest on $600,000 is $3,000, leaving accumulated cash above the reserve of:

\[ 2(40{,}000-3{,}000)=74{,}000. \]

The remaining repayment requirement is $46,000. Half of each sale represents a taxable gain, and tax is 20% of that gain, so net proceeds equal 90% of gross proceeds. The required gross sale is therefore:

\[ \frac{120{,}000-74{,}000}{0.90}\approx51{,}111. \]

Settlement within the two-business-day cure period makes this strategy operationally feasible.

Answer choices explained:

A — Incorrect: This is the additional net cash required after using excess operating cash; selling $46,000 generates less because capital gains tax is payable.

B — Incorrect: This sale would generate the entire $120,000 repayment after tax, unnecessarily ignoring $74,000 of cash available above the minimum reserve.

C — Correct: The $120,000 collateral shortfall is reduced by $74,000 of excess cash; generating the remaining $46,000 requires a gross sale of $46,000 divided by 0.90.

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Case 11

Topic: Private Wealth Pathway

Iris Keene’s Estate Funding Review

Iris Keene, age 67, asks her wealth adviser to review her estate arrangements following her marriage to Daniel. Iris has two adult children, Nora and Eli, from an earlier marriage. Both children have minor children. All amounts are in USD.

Family documents and objectives

Iris’s will leaves “my pension to Daniel” and the residue equally to Nora and Eli. A deceased child’s descendants inherit that child’s residuary share through testamentary trusts providing professional management until age 25. The executor has broad powers to sell estate assets and borrow, but no committed financing facility exists.

Iris wants Daniel to retain the full pension value for retirement without immediate tax at her death. She also wants each child to receive at least $350,000 directly from her life insurance, outside probate and protected from estate creditors. If a child predeceases her, that child’s insurance allocation should benefit that child’s descendants under professional management until age 25.

Separate, existing irrevocable trusts for each child’s descendants satisfy these management objectives. The insurer accepts these trusts as beneficiaries and permits share-specific contingent designations.

Ownership and current designations

The shareholder agreement prevents sales or pledges of the company shares until month 18 after Iris’s death. No company distributions are expected earlier. The listed securities can be liquidated, with proceeds available by day 20.

The insurance designation currently provides that a deceased child’s share passes to the surviving named child. There are no contingent beneficiaries. No proposed changes have been implemented.

Assumed legal and tax treatment

The following hypothetical rules govern the analysis:

• Valid pension and insurance designations override contrary will provisions. Divorce does not revoke a pension designation. There are no competing marital-property or divorce-settlement claims.
• Pension and insurance benefits paid to named individuals or the existing descendant trusts bypass probate and are unavailable to estate creditors. Recipients have no obligation to fund estate expenses.
• The survivorship home passes directly to Daniel, outside probate and estate creditor claims.
• Daniel can roll a directly inherited pension into his own retirement account without immediate tax. Pension proceeds paid to any other beneficiary, including the estate, incur 20% withholding that reduces the proceeds.
• Insurance proceeds are tax-free regardless of beneficiary. Proceeds designated to the estate become available to the executor and estate creditors. All insurance proceeds are paid by day 20.
• An insurance beneficiary change does not alter the estate’s stated tax bill. All other applicable taxes and liquidation costs are reflected in the amounts supplied.

Estate payment deadlines

There are no payment extensions or other estate inflows before month 18. Do not assume voluntary contributions from Daniel, the children, or Tomas.

Question 41

Under the current arrangements, the minimum additional cash needed to meet all estate payments through month 6 is:

• A. $0
• B. $400,000
• C. $300,000

Best answer: B

Estate liquidity depends on assets the executor can access by each payment deadline, rather than total household wealth. Iris’s bank deposits and net securities proceeds provide $350,000. The company shares cannot generate cash before month 18. The home, pension, and insurance pass outside the estate and cannot be treated as funding sources without a separate arrangement.

The required additional funding, in USD, is:

\[ \text{Liquidity gap}=(100{,}000+650{,}000)-(100{,}000+250{,}000)=400{,}000. \]

The $100,000 bank balance covers the day-30 administration expense, but only $250,000 then remains for the month-6 tax payment. Substantial family wealth therefore coexists with an estate cash shortfall.

Answer choices explained:

A — Incorrect: This treats benefits or property passing outside the estate as available executor funds. Their recipients have no obligation to contribute.

B — Correct: The estate owes $750,000 through month 6 and has $350,000 available. The remaining assets cannot fund the shortfall under current arrangements.

C — Incorrect: Subtracting $350,000 of liquid estate assets from the $650,000 tax bill omits the $100,000 administration expense due earlier.

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Question 42

Which action should Iris prioritize to provide Daniel with the full pension value for retirement without immediate tax at her death?

• A. Re-execute the will with a more explicit pension bequest to Daniel.
• B. Submit an effective pension designation naming Daniel as sole primary beneficiary.
• C. Name the estate as pension beneficiary and specifically bequeath its proceeds to Daniel.

Best answer: B

Beneficiary administration must be coordinated with the estate plan because a will does not control assets passing under a valid contractual designation. Tomas remains the pension beneficiary despite the divorce and the will’s reference to Daniel. Revising the will alone therefore cannot achieve Iris’s retirement-support objective.

An effective designation naming Daniel directly both corrects the recipient and preserves the available spousal rollover. The full $900,000 can remain in retirement assets without immediate tax; this is tax deferral, not a permanent tax exemption. Routing the pension through the estate would instead trigger $180,000 of withholding and expose the remaining proceeds to estate obligations. The pension should not be diverted to solve estate liquidity at the expense of Iris’s stated spousal objective.

Answer choices explained:

A — Incorrect: The existing pension designation overrides the will, and divorce did not revoke Tomas’s designation. Stronger testamentary wording does not change the recipient.

B — Correct: A direct designation replaces Tomas and permits Daniel to roll over the full $900,000 pension without immediate tax.

C — Incorrect: Payment to the estate incurs 20% withholding, leaving $720,000 before estate obligations. It does not qualify for Daniel’s direct spousal rollover.

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Question 43

Iris considers only the following three funding proposals. Which meets both the estate-payment deadlines and her minimum direct insurance benefit for each child?

• A. Earmark the existing $350,000 of cash and securities as a reserve, retaining equal child insurance beneficiaries.
• B. Allocate 40% of insurance to the estate and 30% to each child, retaining the existing liquid estate assets.
• C. Arrange a $500,000 estate credit line first available in month 9, retaining equal child insurance beneficiaries.

Best answer: B

An estate-funding arrangement must supply usable cash before obligations fall due while respecting the client’s beneficiary constraints. Assigning 40% of the $1,200,000 policy to the estate provides $480,000 by day 20. Together with existing liquid assets, this produces $830,000, sufficient for the $750,000 payment schedule. Insurance proceeds are tax-free, and the supplied rules keep the tax bill unchanged.

Each child’s 30% allocation produces $360,000 directly, satisfying the minimum benefit and remaining outside estate creditor claims. The arrangement therefore separates estate funding from protected beneficiary benefits. Segregating assets already counted as liquid resources does not increase funding capacity, while executor borrowing authority is useful only when financing is actually available by the required dates.

Answer choices explained:

A — Incorrect: Earmarking existing assets creates no additional liquidity. The $350,000 reserve cannot cover the $750,000 of estate payments.

B — Correct: The estate receives $480,000 by day 20, supplementing its $350,000. Each child receives $360,000 directly, exceeding the $350,000 minimum.

C — Incorrect: Although the facility exceeds the funding shortfall, its month-9 availability occurs after the month-6 tax deadline, for which no extension is available.

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Question 44

Considering the current insurance arrangement independently of any funding proposal, which beneficiary structure best meets Iris’s objectives if either child predeceases her?

• A. Retain each child’s primary share and direct that share per stirpes to descendants if the child predeceases Iris.
• B. Retain each child’s primary share and name that child’s existing descendant trust as contingent beneficiary of that share.
• C. Designate the estate for the children’s shares and distribute the proceeds through the will’s descendant trusts.

Best answer: B

A beneficiary structure must address both who inherits and how the inheritance is managed. The current survivorship provision would shift a deceased child’s entire insurance share to the surviving child, excluding the deceased child’s descendants.

Naming the corresponding descendant trust as contingent beneficiary of each child’s share preserves that branch’s allocation. Because these existing trusts provide professional management until age 25 and are accepted by the insurer, they also meet Iris’s control objective. Direct payment to the trusts avoids routing proceeds through the estate. A per stirpes direction alone addresses representation among descendants but does not establish the required trust management. Testamentary trusts can provide management, but estate-directed insurance would lose the specified probate and creditor protection.

Answer choices explained:

A — Incorrect: Per stirpes payment preserves the family branch’s allocation but pays descendants directly rather than securing professional trust management until age 25.

B — Correct: Share-specific trust contingencies preserve each family branch’s allocation, provide the required management, and keep proceeds outside probate and estate creditor claims.

C — Incorrect: The testamentary trusts provide management, but routing proceeds through the estate subjects them to probate and estate creditor claims.

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Review the binding condition

For every mistake, identify the fact that changes the decision: unavailable assets, payment timing, a tax basis, a beneficiary right or an approval limit. Recalculate without the answer, then attempt another case in Finance Prep. Use authorized candidate materials for separate written-response preparation.