Free CFA Level III Private Markets Practice: 2027 Cases

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

These are independent Finance Prep exercises, not official CFA Institute questions or copied exam content. Finance Prep is not affiliated with or endorsed by CFA Institute.

Use this as item-set practice

Allow about 132 minutes for a pacing exercise, or work through one case at a time. This timing is editorial: the official Level III sessions each mix multiple-choice and constructed-response sets. This page is not a complete mixed-format mock, a writing assessment or a prediction of passing.

Read the case exhibits, dates and assumptions before each question. Answers and explanations appear below the questions; cover them while attempting the set. Review the reasons for rejected choices, including answers you guessed correctly.

The fixed selection covers all six practice areas. The app has 277 cases and 1,108 questions for further topic and mixed-case work. Reopening this page keeps the same public questions and displayed answers.

Case 1

Topic: Asset Allocation

Endowment Bond-Sleeve Forecast

Lila Chen, CFA, evaluates a euro-denominated corporate bond sleeve within a US endowment’s liquidity portfolio supporting future private-fund commitments. The endowment measures performance in US dollars. Chen prepares a one-year, unhedged return forecast using a single planning scenario.

Portfolio terms

The sleeve’s opening market value and par value are both €10 million. All bonds are fixed-rate and option-free. Coupon dates fall exactly six and twelve months after the forecast begins.

The first coupon is reinvested until the horizon. The second coupon is received at the horizon. All receipts remain in euros until then.

One-year planning assumptions

The yield changes occur at the horizon after the final coupon. Defaults also occur after that coupon, with recovery paid immediately, so the forecast includes all scheduled coupons.

Forecast conventions

At unchanged yields, the horizon ex-coupon price equals opening par. Chen uses the supplied modified duration for a first-order price estimate and ignores convexity in the base forecast. Yield-driven price changes and default losses are additive contributions measured against opening market value; their interaction is ignored.

There are no fees, taxes, purchases, sales, or roll-down effects. All terminal euro proceeds are converted into US dollars at the horizon exchange rate.

Question 1

When starting from the effective annual promised yield implied by the quoted yield to maturity, what reinvestment adjustment should Chen apply, expressed in basis points of opening market value?

• A. -6 basis points
• B. -12 basis points
• C. +3 basis points

Best answer: A

An effective annual promised yield already includes reinvestment at the bond’s periodic yield. Chen must adjust that embedded assumption, not add all forecast reinvestment interest to it.

The quoted yield implies:

\[ y_{\mathrm{effective}}=(1+0.06/2)^2-1=6.09\%. \]

Of this return, 6.00% is scheduled coupon income and 0.09% is interest from reinvesting the first 3% coupon at the starting six-month yield of 3%. Under Chen’s forecast, the six-month reinvestment rate is only 1%, producing interest equal to 0.03% of opening market value. Replacing the embedded 0.09% with 0.03% requires a reduction of 0.06 percentage points, or 6 basis points. The horizon coupon receives no reinvestment adjustment because it is paid when the forecast ends.

Answer choices explained:

A — Correct: The first coupon earns 1% rather than the embedded 3% over six months: \(0.03(0.01-0.03)=-0.0006\), or -6 basis points.

B — Incorrect: This applies the six-month reinvestment-rate shortfall to the entire 6% annual coupon, although only the first 3% coupon is reinvested.

C — Incorrect: This adds the forecast reinvestment interest to a yield that already embeds reinvestment interest, rather than replacing the embedded amount.

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Question 2

Chen’s worksheet reports a default-adjusted annual yield term of 4.89%. Which combination of yield term and separate default-loss deduction correctly incorporates the credit forecast, with reinvestment and market repricing handled separately?

• A. A 4.89% yield term and a 1.20% separate default-loss deduction
• B. A 4.89% yield term and a 0.00% separate default-loss deduction
• C. A 6.09% yield term and a 0.00% separate default-loss deduction

Best answer: B

Expected default losses must enter the forecast once. Here, defaults occur after the final coupon, so the modeled loss concerns principal rather than missed coupon payments:

\[ L_{\mathrm{default}}=0.02(1-0.40)=0.012=1.20\%. \]

The effective annual promised yield is 6.09%. Reducing that yield term by the expected principal loss produces 4.89%, so no additional default-loss deduction is appropriate when using this adjusted term.

A promised yield includes the credit spread offered by the market but is calculated from promised cash flows, not default-adjusted cash flows. Consequently, the presence of a credit spread does not eliminate the need to recognize expected losses. Separately, a change in credit spreads produces a market-price effect through duration; that repricing effect is distinct from principal lost through actual defaults.

Answer choices explained:

A — Incorrect: The 4.89% term already deducts the modeled 1.20% principal loss; another deduction would count the same expected loss twice.

B — Correct: Expected principal loss is \(2.00\%(1-40.00\%)=1.20\%\), already reflected in the reduction from the 6.09% promised yield to 4.89%.

C — Incorrect: The 6.09% promised yield assumes scheduled payments. Its credit spread does not itself deduct the principal losses expected from defaults.

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Question 3

For a separate horizon stress test, replace the base yield moves with parallel government-yield shocks of -200 and +200 basis points, hold credit spreads fixed, and assume no defaults. Compared with the duration-only price estimates, full repricing would most likely produce:

• A. A larger gain after the yield decline and a smaller loss after the yield increase.
• B. Approximately the same gain and loss as the duration-only estimates.
• C. A smaller gain after the yield decline and a larger loss after the yield increase.

Best answer: A

Modified duration is a first-order approximation: it treats the price-yield relationship as a straight line near the reference yield. Fixed-rate, option-free bonds instead have positive convexity. Their price-yield curve lies above the duration tangent on either side of the reference yield.

For a yield decline, this curvature increases the price gain relative to the duration-only estimate. For a yield increase, it leaves the repriced bond above the duration estimate, reducing the magnitude of the price loss. The omitted convexity effect becomes more important as the yield shock grows. Holding credit spreads fixed and removing defaults isolates this pricing mechanism. A parallel government-yield shift avoids a curve-shape complication, but it does not remove the nonlinear relationship between bond prices and yields.

Answer choices explained:

A — Correct: The option-free bonds have positive convexity, placing their prices above the duration tangent for both upward and downward yield changes.

B — Incorrect: Parallel shifts do not make the price-yield relationship linear; a 200-basis-point shock makes omitted curvature more consequential.

C — Incorrect: This pattern is associated with negative convexity, whereas the sleeve’s fixed-rate, option-free bonds exhibit positive convexity.

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Question 4

Using the base planning assumptions, the sleeve’s forecast one-year return in US dollars is closest to:

• A. -1.51%
• B. 6.53%
• C. 6.43%

Best answer: B

First calculate the euro-denominated return, denoted \(R_{\mathrm{EUR}}\). Coupon income is 6.00%, and reinvesting the first 3% coupon produces another 0.03%. The combined government-yield and spread increase is 60 basis points. Applying the stipulated additive local-return approximation gives:

\[ R_{\mathrm{EUR}}=0.06+0.03(0.02/2)-4.0(0.0040+0.0020)-0.02(1-0.40)=0.0243. \]

The exchange rate is quoted as dollars per euro, so its increase represents euro appreciation. The currency return, denoted \(R_{\mathrm{FX}}\), is:

\[ R_{\mathrm{FX}}=1.1440/1.1000-1=0.04. \]

Currency conversion applies to all terminal euro wealth, not just the original principal. Therefore:

\[ R_{\mathrm{USD}}=(1+0.0243)(1+0.04)-1=0.065272\approx6.53\%. \]

The currency gain is separate from the local bond return, but the two combine multiplicatively.

Answer choices explained:

A — Incorrect: This reverses the currency conversion, calculating \(1.0243/1.04-1\), although the increase in USD per EUR benefits the unhedged dollar investor.

B — Correct: The euro return is 2.43%, and the euro appreciates 4.00%; therefore, \((1.0243)(1.04)-1=6.5272\%\).

C — Incorrect: This adds the 2.43% euro bond return to the 4.00% euro appreciation, omitting their positive multiplicative interaction.

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Case 2

Topic: Asset Allocation

Halden Endowment’s Allocation Review

Lena Ortiz manages Halden University’s private-market program and associated liquid assets. She is updating a 12-month tactical allocation and the assumptions used to value existing private investments. Known capital calls are fully funded in a separate cash account, which is excluded from the tactical allocation.

All figures are in dollars. Returns are annual nominal investment returns before fees and taxes. Leverage is prohibited in the tactical allocation.

Macroeconomic Dashboard

At each forecast date, expected inflation is assumed constant from the coming year onward. The real policy rate is reported as the nominal policy rate minus expected inflation.

Ortiz’s current base case anticipates declining demand and policy easing. The nominal policy rate is expected to fall from 5.00% today to 3.00% in 12 months. Rolling bills have a forecast 12-month total return of 4.00%.

Liquid Allocation Alternatives

The tactical mandate permits interest-rate volatility and prioritizes the highest forecast 12-month total return among three eligible exposures: rolling bills and the two government-bond portfolios below.

Over the coming year, the relevant yield for the short portfolio is forecast to decline by 150 bps; the long portfolio’s yield is forecast to decline by 60 bps. Approximate income using each portfolio’s current yield and price changes using modified duration. Ignore convexity, roll-down, reinvestment effects, and transaction costs.

Private-Investment Assumptions

Today’s private-investment valuations use current dashboard yields, not the yields forecast for the end of the coming year.

Private credit: The team uses changes in public corporate credit risk compensation to inform pricing on new private loans. Annualized expected default losses for matched borrowers and maturities have increased from 40 bps to 100 bps. Use an additive spread attribution. Liquidity, tax, and other noncredit spread components are unchanged, as is the additional illiquidity premium required on private loans.

Buyout equity: A consumer-products portfolio company expects lower unit sales over the next two years. Unit contribution margins remain positive, fixed cash operating costs are unchanged, and all other cash-flow inputs are unchanged. Debt is fixed-rate. The team estimates the required equity return using CAPM, the dashboard’s 10-year government yield and equity risk premium, and an unchanged levered beta of 1.20.

Property: A stabilized, unlevered property has current annualized net operating income (NOI) of $5.00 million. Its fully net rents adjust to CPI without a lag, cap, or floor. Next year’s expected NOI equals current annualized NOI increased by forecast inflation; thereafter, NOI is modeled as growing perpetually at that inflation rate. Vacancy and real operating assumptions are unchanged. All NOI is treated as paid at year-end. The team discounts NOI at the current 10-year government yield plus an unchanged property risk premium of 4.10%.

Question 5

Which eligible tactical exposure has the highest forecast 12-month total return under Ortiz’s base case?

• A. Rolling bills
• B. The short-maturity government portfolio
• C. The long-maturity government portfolio

Best answer: C

A bond portfolio’s holding-period return reflects both income and price changes, not merely its starting yield. With the stated approximations, let \(y_0\) denote initial yield, \(D_{\mathrm{mod}}\) modified duration, and \(\Delta y\) the forecast yield change:

\[ R \approx y_0 - D_{\mathrm{mod}}\Delta y. \]

The long portfolio’s forecast return is 8.80%, compared with 7.30% for the short portfolio and 4.00% for bills. Although the inverted curve gives short bonds a higher initial yield, the long portfolio’s greater duration generates a larger forecast capital gain. Restrictive real policy and weak business confidence are consistent with Ortiz’s easing forecast, but the ranking depends on the specified yield changes. It is not guaranteed by inversion alone. The separate funding of capital calls allows the tactical decision to follow its stated return objective.

Answer choices explained:

A — Incorrect: The forecast bill return is 4.00%. Its high initial yield does not capture the capital gains available on government bonds as yields decline.

B — Incorrect: Its approximate return is \(4.60\% - 1.8(-1.50\%) = 7.30\%\). The larger yield decline does not offset its lower duration.

C — Correct: Its approximate return is \(4.00\% - 8.0(-0.60\%) = 8.80\%\), exceeding the returns forecast for the other eligible exposures.

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Question 6

Under the private-credit team’s attribution assumptions, how much has the annual credit risk premium used to inform new-loan pricing increased?

• A. 120 bps
• B. 60 bps
• C. 180 bps

Best answer: B

A corporate spread compensates investors for expected credit losses as well as for bearing credit risk and other priced characteristics. Consequently, wider spreads do not translate one-for-one into higher expected excess returns. Under the case’s additive attribution and unchanged noncredit components:

\[ \Delta \text{credit risk premium} = (260-140) - (100-40) = 60\text{ bps}. \]

Half of the observed widening reflects deterioration in expected payments through higher default losses. The remainder represents increased compensation for bearing credit risk. Weak business confidence is consistent with deteriorating borrower fundamentals, but it does not identify the entire spread change as a cash-flow effect. Because the additional private-loan illiquidity premium is unchanged, it does not alter the inferred change used in new-loan pricing.

Answer choices explained:

A — Incorrect: This attributes the entire spread widening to risk compensation, although 60 bps reflects an increase in expected default losses.

B — Correct: Corporate spreads widened by 120 bps, while expected losses increased by 60 bps; unchanged noncredit components leave a 60 bps increase in credit risk compensation.

C — Incorrect: This adds the 60 bps increase in expected losses to the 120 bps spread widening rather than removing the expected-loss component.

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Question 7

Compared with six months ago, which paired revision is consistent with the buyout company’s operating outlook and the team’s required-return model?

• A. Lower expected equity cash flows and a 16 bps decrease in the required equity return.
• B. Lower expected equity cash flows and a 24 bps increase in the required equity return.
• C. Lower expected equity cash flows and a 40 bps decrease in the required equity return.

Best answer: A

Operating forecasts and discount rates should be revised separately. Lower unit sales reduce contribution toward unchanged fixed costs, lowering expected cash flows available to equity. Fixed-rate financing does not provide an immediate interest-cost offset.

CAPM combines the government yield with beta-scaled equity risk compensation. The previous required return was:

\[ k_{e,\mathrm{previous}} = 4.40\% + 1.20(5.00\%) = 10.40\%. \]

The current required return is:

\[ k_{e,\mathrm{current}} = 4.00\% + 1.20(5.20\%) = 10.24\%. \]

Thus, the required return declines by 16 bps despite an increase in the equity risk premium. This illustrates why deteriorating economic conditions need not raise every component of a discount rate. The lower cash-flow forecast and lower discount rate exert opposing valuation effects; their net effect cannot be determined without the complete cash-flow model.

Answer choices explained:

A — Correct: Lower sales reduce cash flows, while the 40 bps government-yield decline exceeds the beta-adjusted 24 bps increase in the equity risk premium.

B — Incorrect: The cash-flow revision is appropriate, but the return change includes only the beta-adjusted risk-premium increase and omits the declining government yield.

C — Incorrect: The cash-flow revision is appropriate, but the return change includes only the government-yield decline and omits the rising equity risk premium.

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Question 8

Using the current dashboard and the property team’s stated model, the property’s estimated value today is closest to:

• A. $83.6 million
• B. $110.9 million
• C. $102.0 million

Best answer: A

For a growing perpetuity, property value equals next year’s NOI divided by the required return less perpetual growth. The current inflation forecast determines both the next rent adjustment and subsequent nominal NOI growth under this model.

Next year’s NOI is $5.10 million. The nominal required return is 8.10%, comprising the 4.00% government yield and the 4.10% property risk premium. Therefore:

\[ V_0 = \frac{\mathrm{NOI}_1}{k-g} = \frac{5.00(1.02)}{0.081-0.020} = 83.61\text{ million}. \]

The nominal required return has fallen by 40 bps, but expected growth has fallen by 150 bps. The implied capitalization rate consequently rises from 5.00% to 6.10%. CPI-linked rents transmit inflation into cash flows; they do not make property values insensitive to changing growth expectations or discount rates.

Answer choices explained:

A — Correct: Next year’s NOI is $5.10 million, the required return is 8.10%, and perpetual growth is 2.00%, giving \(5.10/(0.081-0.020)=83.61\) million.

B — Incorrect: This uses next year’s revised NOI but retains the former 3.50% perpetual growth rate: \(5.10/(0.081-0.035)=110.87\) million.

C — Incorrect: This divides revised NOI of $5.10 million by the former 5.00% capitalization rate, ignoring the changed difference between required return and growth.

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Case 3

Topic: Portfolio Construction

Alderbridge’s Liquid Bond Sleeve

Maya Chen, CFA, manages a USD-denominated liquid bond sleeve supporting Alderbridge Endowment’s private-market commitments. The sleeve has a $40 million NAV, comprising $30 million of bonds and $10 million of cash. The investment committee seeks another $30 million of bond-equivalent exposure while preserving liquidity for capital calls.

Proposed implementations

Chen evaluates three mutually exclusive proposals. All added exposures reference the same bond basket.

• Repo: Purchase $30 million of additional bonds using $1.5 million of cash and $28.5 million of overnight repo borrowing. Only the purchased bonds secure the repo. The initial haircut is 5%, and the annual financing rate is 5.0%.
• Futures: Retain the existing bonds and add $30 million of bond-equivalent futures exposure. Initial margin is $1.8 million, transferred from cash. The annual implied financing rate is 4.7%.
• Leveraged fund: Retain the existing bonds and invest $6 million of cash in a leveraged bond fund. The fund holds only the same bond basket and has the following balance sheet:

The fund’s investors have limited liability and no capital-call obligations. Redemptions occur quarterly with 60 days’ notice. Its debt principal remains unchanged during the stress valuation described below.

Base-case carry assumptions

For a separate 90-day base-case comparison, assume the repo is renewed daily at 5.0%. All rates use simple ACT/360 interest. All cash, including posted futures initial margin, earns 4.0% annually.

For this comparison, the repo and futures positions generate identical gross bond profit before financing. Futures perfectly track the basket after accounting for their implied financing cost. Ignore transaction costs, taxes, fees, basis risk, and interest on interim investment gains or losses.

Stress and liquidity requirements

Despite recently stable credit spreads, the risk team applies an instantaneous interest-rate shock that reduces the value of every bond basket by 8%. Ignore accrued interest and fees during this stress window.

At the first repo renewal, the lender raises the haircut to 20%, applied to the collateral’s stressed market value. The lender will renew only the resulting permitted principal; any excess borrowing must be repaid in cash. Additional collateral cannot be substituted.

The futures position produces the same dollar market loss as a $30 million holding of the basket. Variation margin is payable immediately, and required initial margin rises from $1.8 million to $2.7 million. Both payments come from unencumbered cash; posted initial margin cannot cover variation margin.

The mandate requires both of the following:

• At approval, at least 90% of sleeve NAV must be realizable in cash within five business days. Direct bond and futures positions, including released collateral, can be closed and settled within two business days.
• After the specified stress payments, at least $3 million of unencumbered cash must remain for private-fund capital calls. Security sales, new borrowing, and posted margin cannot count toward this immediate reserve.

Question 9

Under the specified instantaneous stress, the percentage change in the leveraged fund’s NAV is closest to:

• A. -32%.
• B. -40%.
• C. -8%.

Best answer: B

Asset-to-equity leverage determines how an asset-price movement affects fund NAV when debt principal is unchanged. The fund has $100 million of bond exposure supported by $20 million of equity, giving five times effective exposure to its underlying assets.

After the 8% decline, bond assets are worth $92 million. Subtracting unchanged borrowing of $80 million leaves NAV of $12 million:

\[ R_{\mathrm{NAV}}=\frac{12-20}{20}=-40\%. \]

The endowment’s subscription participates in this leveraged equity return, even though the endowment does not borrow directly. Limited liability restricts investors’ obligations beyond their investment; it does not prevent substantial losses within fund NAV.

Answer choices explained:

A — Incorrect: This applies the debt-to-equity multiple of four to the bond decline. Equity bears losses on all bond assets, not only debt-financed assets.

B — Correct: The $8 million bond loss is borne by $20 million of NAV, producing a 40% decline while debt principal remains unchanged.

C — Incorrect: This treats the fund as unleveraged. Its $100 million bond portfolio is supported by only $20 million of investor equity.

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Question 10

For the 90-day base case, the futures proposal’s expected profit minus the repo proposal’s expected profit, including financing and cash interest, is closest to:

• A. $750.
• B. $18,750.
• C. $3,750.

Best answer: B

Implementation comparisons must include financing costs and the return forgone on cash committed to bond purchases. The common gross bond profit cancels, so no bond-return forecast is needed.

Over 90 days, repo interest is:

\[ 28{,}500{,}000(0.05)(90/360)=356{,}250. \]

The $1.5 million cash contribution also forgoes $15,000 of cash interest. Relative to retaining cash, total repo implementation cost is therefore $371,250.

Futures implied financing costs:

\[ 30{,}000{,}000(0.047)(90/360)=352{,}500. \]

All $10 million of cash continues earning 4.0%, including the portion posted as initial margin. Futures therefore produce $18,750 more profit. Posted margin creates a liquidity constraint, but under these remuneration terms it does not create an additional cash-interest opportunity cost.

Answer choices explained:

A — Incorrect: This incorrectly treats futures initial margin as unremunerated, understating futures profit by $18,000. The case specifies that posted initial margin earns 4.0%.

B — Correct: Repo financing plus forgone cash interest costs $371,250, versus $352,500 of implied futures financing. Identical gross bond profit leaves futures ahead by $18,750.

C — Incorrect: This compares repo interest of $356,250 with implied futures financing of $352,500, omitting $15,000 of interest forgone on the repo’s cash contribution.

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Question 11

Under the specified stress, the cash principal repayment required at the repo renewal is closest to:

• A. $4.50 million.
• B. $6.42 million.
• C. $2.40 million.

Best answer: B

A repo haircut limits borrowing as a proportion of current collateral value. Both the price decline and the higher haircut reduce the amount the lender will renew.

The purchased bonds fall from $30 million to $27.6 million. With a 20% haircut, permitted borrowing becomes:

\[ B_{\mathrm{stress}}=30(1-0.08)(1-0.20)=22.08\text{ million}. \]

Required cash repayment is therefore:

\[ 28.50-22.08=6.42\text{ million}. \]

This funding demand is distinct from the $2.4 million asset-price loss. Stable credit spreads do not ensure stable financing: interest-rate movements can reduce collateral values, and lenders can simultaneously tighten terms. Here renewal remains available, but only after the borrower supplies cash to reduce principal.

Answer choices explained:

A — Incorrect: This applies the 15-percentage-point haircut increase to the original $30 million collateral value, ignoring the simultaneous decline in collateral prices.

B — Correct: Stressed collateral of $27.6 million supports $22.08 million of borrowing at a 20% haircut, requiring repayment of $6.42 million from initial debt.

C — Incorrect: This is the collateral’s market-value loss, not the repayment required after applying the new 20% haircut to stressed collateral.

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Question 12

Which proposal satisfies both of the mandate’s specified liquidity tests?

• A. The futures proposal.
• B. The repo proposal.
• C. The leveraged fund proposal.

Best answer: A

The mandate tests liquidation capacity and immediate funding capacity separately. A position can be readily tradable yet still create cash demands that breach the reserve requirement.

For futures, the basket decline requires $2.4 million of variation margin. Required initial margin also increases by $0.9 million. Starting with $8.2 million of cash outside initial margin leaves:

\[ 8.2-2.4-0.9=4.9\text{ million}. \]

The futures proposal also meets the five-day liquidation requirement. Repo holdings are liquid, but the stress repayment leaves insufficient immediate cash. The leveraged fund leaves adequate cash but ties up $6 million behind quarterly redemptions and 60 days’ notice; only $34 million of the initial $40 million NAV is promptly realizable. Futures qualify under these specific terms, not because derivatives inherently eliminate funding risk.

Answer choices explained:

A — Correct: The positions can settle within two business days, and $4.9 million of unencumbered cash remains after variation margin and the increase in initial margin.

B — Incorrect: The positions satisfy the five-day liquidation test, but only $2.08 million of cash remains after the required stress repayment, below the $3 million reserve.

C — Incorrect: The remaining $4 million cash meets the immediate reserve test, but the fund’s redemption terms leave only 85% of initial sleeve NAV realizable within five days.

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Case 4

Topic: Portfolio Construction

Merehaven Life’s Balance-Sheet Review

Leena Voss, chief investment officer of Merehaven Life, is reviewing investment and funding decisions with the asset-liability committee. Merehaven issues fixed-crediting-rate insurance policies that permit cash surrender. All amounts below are in $ millions unless stated otherwise. No proposed transactions have been executed.

Opening balance sheet

The following market values and effective durations apply to parallel changes in default-free interest rates, holding credit spreads constant.

Policy liabilities have a market value of $900 million and an effective duration of five years. Use first-order duration approximations and ignore convexity.

For next-year earnings sensitivity, assume constant balances. The entire private floating-rate loan portfolio resets immediately and fully with interest rates. All other asset income, policy crediting rates, and operating costs remain unchanged.

Under Merehaven’s assumed accounting regime, recurring pre-tax earnings exclude unrealized market-value changes. Economic surplus uses market values regardless of accounting treatment.

Solvency and liquidity requirements

Under the case’s hypothetical solvency regime, opening eligible regulatory capital is $100 million and required capital is $80 million. The statutory minimum ratio of eligible capital to required capital is 100%. The board requires at least 120% in normal markets, but permits a temporary decline to the statutory minimum during the specified stress.

A separate 30-day combined stress, starting from the opening balance sheet, has these projections:

• Government bonds can be sold for $190 million. All opening cash is available.
• Public bonds and private loans cannot be sold, pledged, or collected within 30 days. New borrowing is unavailable.
• Cash surrender payments total $220 million, and operating payments total $15 million. There are no other cash flows.
• Merehaven must retain at least $40 million of cash after making these payments.
• After all prescribed stress revaluations and projected payments, eligible regulatory capital is $82 million and required capital is $80 million, before remedial transactions.

This combined stress is separate from an interest-rate-only sensitivity analysis.

Proposed private-credit allocation

The investment team proposes reallocating up to $150 million of government bonds into fully funded, fixed-rate private loans. The government bonds yield 3% annually; the proposed loans have an 8% annual coupon and an effective duration of six years. These rates are before taxes and credit losses. No acquisition fees, management fees, carried interest, or unfunded commitments apply. The new loans cannot be monetized during the 30-day stress.

For this reallocation, the marginal capital charge is 2% of government bond value and 20% of new private loan value. Charges are additive, with no diversification adjustment. Purchases and sales occur at carrying value without transaction costs, leaving eligible capital unchanged.

Question 13

Following an immediate parallel 100 bp increase in interest rates, what are Merehaven’s approximate economic surplus and the change in its annual recurring pre-tax earnings, assuming no transactions?

• A. Economic surplus of $75 million; earnings decrease of $2 million.
• B. Economic surplus of $80 million; earnings increase of $2 million.
• C. Economic surplus of $75 million; earnings increase of $2 million.

Best answer: C

Economic surplus and recurring earnings measure different effects of an interest-rate change. Let assets be \(A\), liabilities be \(L\), and economic surplus be \(S=A-L\). Opening surplus is $100 million. Using effective durations and a 0.01 yield increase, the approximate changes, in $ millions, are:

\[ \Delta A=-7(1{,}000)(0.01)=-70,\qquad \Delta L=-5(900)(0.01)=-45. \]

Thus, surplus declines by $25 million to $75 million. Although liability values fall, their smaller value-weighted duration provides only a partial offset to asset losses. Separately, the $200 million floating-rate loan portfolio resets upward by 1 percentage point, increasing annual recurring earnings by $2 million. Unrealized market-value changes are excluded from that earnings measure. Stronger recurring income therefore does not imply stronger economic capital.

Answer choices explained:

A — Incorrect: The surplus estimate reflects both sides of the balance sheet, but rising rates increase floating-rate loan income while policy crediting costs remain fixed.

B — Incorrect: The $80 million estimate applies the unweighted two-year duration difference to all assets, overlooking the different asset and liability values.

C — Correct: Assets lose $70 million and liabilities lose $45 million, reducing surplus by $25 million. Immediate loan repricing increases annual income by $2 million.

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Question 14

Under the separate 30-day combined stress, which assessment correctly measures Merehaven’s liquidity and statutory capital positions after allowing for the required closing cash balance?

• A. Liquidity surplus of $5 million; regulatory capital surplus of $2 million.
• B. Liquidity shortfall of $35 million; regulatory capital surplus of $2 million.
• C. Liquidity shortfall of $35 million; regulatory capital shortfall of $38 million.

Best answer: B

Liquidity measures the ability to make payments while retaining required cash; regulatory solvency compares eligible capital with the prescribed capital requirement. These constraints are related but not interchangeable. Available stress liquidity is $50 million of cash plus $190 million of government bond proceeds, totaling $240 million. Surrenders and operating payments total $235 million. Including the required $40 million closing cash balance raises the funding need to $275 million, creating a $35 million shortfall.

The statutory capital ratio is independently:

\[ \frac{82}{80}=102.5\%. \]

This exceeds the 100% stress minimum and leaves $2 million of regulatory capital headroom. The normal-market board floor does not apply during this specified stress. Liquidity is therefore the binding constraint, even though Merehaven can make the immediate payments and remains statutorily solvent.

Answer choices explained:

A — Incorrect: Cash and government bond proceeds exceed payments by $5 million, but that remaining cash is $35 million below the required closing balance.

B — Correct: Available liquidity is $240 million against $275 million of payments and required cash. Eligible capital of $82 million exceeds the $80 million statutory requirement.

C — Incorrect: The liquidity shortfall is $35 million. Retaining cash does not deduct it from eligible capital, so regulatory capital remains $82 million.

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Question 15

Using the opening balance sheet and considering only the board’s normal-market capital floor, what is the maximum government bond reallocation to the proposed private loans, rounded to the nearest $0.1 million?

• A. $111.1 million.
• B. $22.2 million.
• C. $18.5 million.

Best answer: C

A higher coupon does not remove the insurer’s capital constraint. Let \(x\) be the reallocation in $ millions. Selling government bonds releases a 2% capital charge, while purchasing private loans adds a 20% charge. Required capital therefore increases by 18% of the amount reallocated, while eligible capital remains $100 million.

The board’s normal-market condition is:

\[ \frac{100}{80+0.18x}\ge1.20. \]

Solving gives:

\[ x\le\frac{100/1.20-80}{0.18}=18.52. \]

The maximum is approximately $18.5 million, below the proposed $150 million limit. The 5 percentage point coupon advantage does not justify exceeding the capital floor. This calculation establishes only a capital-based ceiling; it does not establish that the allocation is acceptable under Merehaven’s separate duration and stressed-liquidity constraints.

Answer choices explained:

A — Incorrect: This allocation uses the 100% statutory floor rather than the board’s 120% normal-market floor, overstating the permissible investment.

B — Incorrect: Dividing the $4 million buffer above the board’s opening capital floor by 18% omits the 120% coverage required on incremental capital charges.

C — Correct: Each dollar reallocated adds 18 cents to required capital. Maintaining a 120% ratio permits an allocation of approximately $18.5 million.

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Question 16

In a separate local sensitivity analysis, surrender behavior shortens policy liability duration to three years without an immediate change in liability value. Opening asset positions remain unchanged.

Available par swaps have a fixed-rate bond-equivalent duration of five years and a floating-rate bond-equivalent duration of zero. All listed overlays satisfy applicable collateral and regulatory limits. Which overlay approximately neutralizes the first-order sensitivity of economic surplus to a parallel interest-rate change?

• A. Pay fixed and receive floating on $860 million notional.
• B. Pay fixed and receive floating on $1,400 million notional.
• C. Receive fixed and pay floating on $860 million notional.

Best answer: A

An insurer hedges economic surplus by matching asset and liability value-weighted duration, not by eliminating asset duration alone. Under the local assumption, liabilities retain their $900 million value but their duration falls to three years. The remaining asset-minus-liability exposure, in $ million-years, is:

\[ 1{,}000(7)-900(3)=4{,}300. \]

Shorter liability duration provides less protection against losses on long-duration assets. A pay-fixed, receive-floating swap contributes negative duration exposure. With a five-year fixed-rate bond equivalent and zero-duration floating equivalent, its exposure is \(-5N\), where \(N\) is notional in $ millions. Neutrality requires:

\[ 4{,}300-5N=0,\qquad N=860. \]

This overlay approximately immunizes surplus against small parallel rate changes under the stated assumptions. It does not eliminate credit-spread risk, surrender cash-flow risk, or sensitivity to nonparallel yield-curve changes.

Answer choices explained:

A — Correct: The asset-minus-liability duration exposure is $4,300 million-years. A pay-fixed swap removes five million-years per $1 million notional, requiring $860 million.

B — Incorrect: The $1,400 million notional offsets all asset duration exposure but ignores the offsetting liability exposure, leaving economic surplus overhedged.

C — Incorrect: Receiving fixed adds duration to an already positive asset-minus-liability exposure, doubling rather than neutralizing the surplus sensitivity.

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Case 5

Topic: Performance Measurement

Alderwick Endowment’s Private Credit Review

Alderwick Endowment is evaluating Northmere Credit, the GP of a two-year private-credit opportunity vehicle. The endowment committed $100 million. The vehicle invests in middle-market loans, including secondary loan interests, and uses no leverage.

Investment authority and investor cash flows

The GP determines capital-call amounts and dates, loan purchases and sales, industry exposures, reinvestment, and distributions. The endowment selected the mandate and benchmark, honored every call, and made no discretionary withdrawals.

The following events occur at exactly one-year intervals. Amounts are in $ millions; contributions are investor outflows.

There are no other investor cash flows. The remaining $20 million commitment expires uncalled. NAVs and distributions are net of management fees and expenses. Management fees are charged on NAV; there is no carried interest.

Final-quarter performance report

The performance provider supplies these preliminary figures for the final quarter before liquidation. Returns are single-period returns, not annualized. All figures use consistent valuation dates and cash-flow conventions.

The attribution uses opening-quarter holdings and does not incorporate subsequent trades or intra-quarter loan repayments. Both displayed effects are before management fees. All reported figures are after transaction costs. Management fees reduced the quarterly portfolio return by exactly 0.40 percentage points; this is a return impact, not an annual fee rate. The provider has not displayed a reconciliation residual.

Available evidence and reporting requirements

Purchases plus sales average 35% of NAV per quarter. Some loans are bought and sold between reporting dates, and the GP changes industry exposures within quarters.

The performance team has:

• Twenty-four monthly portfolio and benchmark returns, with industry benchmark returns available monthly.
• Full quarter-end holdings delivered five business days after quarter-end.
• Complete time-stamped trade, loan-drawdown, repayment, income, expense, and investor cash-flow records available the next business day.
• Monthly model-based marks for untraded loans. Preliminary quarter-end marks are available by business day 5; independent valuation review finishes by business day 20. Reliable daily prices for untraded loans are unavailable.

The board requires a clearly provisional report by business day 10 and a final report by business day 25. It wants attribution aligned with the GP’s industry, loan-selection, deployment, and trading decisions.

The portfolio has generally held lower-quality, less-liquid loans than the benchmark. The attribution model groups loans by industry but does not separately adjust for credit-quality or liquidity exposures.

Question 17

For evaluating the GP’s results, including its control over capital deployment and realization timing, the most appropriate annualized return over the vehicle’s life is closest to:

• A. 10.00%, using a money-weighted return.
• B. 11.65%, using a time-weighted return.
• C. 8.11%, annualizing proceeds relative to total contributed capital.

Best answer: A

Money-weighted return incorporates the amounts and timing of investor cash flows. It is appropriate here because the GP controls capital calls, deployment, and distributions, and the evaluation explicitly includes those decisions.

With amounts in $ millions and an annual rate \(r\), the cash flows satisfy:

\[ 50(1+r)^2+30(1+r)=93.5. \]

At 10%, the initial contribution grows to 60.5 and the later contribution grows to 33, totaling 93.5.

The annualized time-weighted return is approximately 11.65%, calculated by geometrically linking the first-year return of 20% and second-year return of approximately 3.89%. That measure neutralizes external cash-flow timing rather than evaluating its effect. The uncalled $20 million commitment is not an investor cash outflow and is excluded from the return calculation.

Answer choices explained:

A — Correct: A 10% annual discount rate equates the $50 million initial contribution and $30 million subsequent call with the $93.5 million final distribution.

B — Incorrect: This geometrically links the two annual subperiod returns, but removes the influence of capital-flow timing that the GP controls and the evaluation should capture.

C — Incorrect: Annualizing the ratio of $93.5 million to $80 million treats both contributions as invested for two years, overstating the second contribution’s investment period.

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Question 18

What residual must be added to the displayed attribution effects, after including management fees, to reconcile to the reported net active return for the final quarter?

• A. +70 basis points.
• B. -10 basis points.
• C. +30 basis points.

Best answer: C

Reconciliation requires the measured active return and attributed effects to use the same period, valuation conventions, and fee basis. The reported net active return is:

\[ 4.80\%-4.00\%=0.80\%. \]

The industry and loan-selection effects total 0.90 percentage points before management fees. Including the negative 0.40-percentage-point fee effect leaves 0.50 percentage points explained. Therefore:

\[ \text{Residual}=0.80\%-(0.35\%+0.55\%-0.40\%)=0.30\%. \]

The required residual is positive 30 basis points. It identifies an accounting gap under the preliminary model, not a separately established source of economic value. Ignored intra-quarter trading and repayments are plausible contributors to investigate, but the residual alone does not establish their precise contribution. Transaction costs should not be deducted again because all displayed figures already reflect them.

Answer choices explained:

A — Incorrect: This compares gross active return of 120 basis points with fee-adjusted attribution of 50 basis points, mixing gross and net return bases.

B — Incorrect: This subtracts the 90-basis-point gross attribution total from net active return of 80 basis points without including the negative fee effect.

C — Correct: Net active return is 80 basis points, while allocation, selection, and fees explain 35 plus 55 minus 40, or 50 basis points.

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Question 19

Which attribution process best matches the GP’s investment decisions and the board’s reporting requirements?

• A. Holdings-based attribution using quarterly position snapshots, with provisional marks by day 10 and reviewed marks by day 25.
• B. Returns-based attribution using monthly returns and industry indexes, with provisional estimates by day 10 and reviewed estimates by day 25.
• C. Transactions-based attribution using the complete event records, with provisional marks by day 10 and reviewed marks by day 25.

Best answer: C

An effective attribution process follows the decisions being evaluated and uses sufficiently detailed evidence. Here, the GP controls loan selection, industry weights, deployment, and trading, with material activity between quarter-end snapshots. Transactions-based attribution can reconstruct those changes using the complete event records, including loan repayments and investor flows.

Holdings-based attribution is less data-intensive but can misrepresent exposures when positions change substantially between snapshots. Returns-based attribution estimates exposures statistically; the short, model-valued return history limits its ability to identify changing exposures and specific investment decisions.

Transaction detail does not eliminate valuation uncertainty. The process should use consistent valuation and cash-flow conventions, label the day-10 report provisional, and incorporate reviewed marks before the day-25 final report. It need not invent daily market prices for untraded loans. Reconciliation checks should accompany both reporting stages.

Answer choices explained:

A — Incorrect: Quarterly snapshots omit loans traded between reporting dates and intra-quarter exposure changes, making them poorly matched to the GP’s substantial trading and deployment activity.

B — Incorrect: Twenty-four model-valued monthly returns provide limited evidence for estimating changing exposures and cannot directly explain the GP’s individual loan trades and deployment decisions.

C — Correct: Transaction records capture intra-quarter exposure and deployment changes; provisional reporting followed by reviewed valuations meets both deadlines without assuming reliable daily prices.

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Question 20

Assume the reviewed valuations leave reported returns unchanged and the completed attribution reconciles exactly. The GP claims that reconciliation and positive cumulative loan-selection effects establish investment skill. Which assessment is most appropriate?

• A. Reconciliation supports a model-based explanation; skill appraisal still requires risk-adjusted evidence and allowance for uncertainty in the short record.
• B. Reconciliation supports the skill claim because industry-adjusted selection effects capture the rewards from choosing lower-quality, less-liquid loans.
• C. Reconciliation supports the skill claim because independently reviewed valuations make positive selection effects evidence of economic causality.

Best answer: A

Performance measurement establishes the return earned. Attribution decomposes that return, or active return, into sources defined by a model. Appraisal evaluates whether the results provide evidence of investment skill.

Exact reconciliation is valuable: it shows that the completed attribution accounts for measured performance under its conventions. It does not establish that the categories represent causal economic mechanisms or that positive effects reflect skill.

Northmere’s lower-quality, less-liquid loans can earn compensation for risks absent from the industry-only model. Those rewards may appear as loan-selection effects even without superior credit selection. Appraisal should therefore consider an appropriate risk benchmark or risk adjustment, net investor outcomes, and uncertainty associated with only 24 monthly observations. Model-based private-loan valuations may also smooth returns, affecting statistical inference. Reviewed valuations strengthen the data but do not resolve these separate appraisal issues.

Answer choices explained:

A — Correct: The industry model omits material credit-quality and liquidity differences, while the two-year history provides limited evidence for distinguishing skill from risk compensation and chance.

B — Incorrect: Choosing riskier loans is a manager decision, but its rewards may compensate for credit and liquidity risk rather than demonstrate skill.

C — Incorrect: Independent valuation review improves input credibility but does not validate the model’s causal interpretation or remove omitted risk exposures.

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Case 6

Topic: Derivatives and Risk Management

Alder Growth Fund’s listed exit position

Mira Sen manages Alder Growth Fund’s remaining investment in Bellmere, a recently listed portfolio company. The fund owns 100,000 unrestricted shares and is evaluating alternatives for managing exposure until its planned exit in six months. The proposals are evaluated separately, not combined. All amounts are in US dollars.

Reference market and exposure mandate

Bellmere pays no dividends during the six-month period. European calls and puts have a common strike of $102 and expire on the exit date. Each option represents one share.

Unless otherwise specified, ignore transaction costs and assume all counterparties perform. Financing is repaid, and investments mature, on the option expiration date.

Sen first considers combining one purchased call and one written put with a cash investment or borrowing. She wants to distinguish a fully funded share replacement from a newly initiated forward exposure.

For a separate proposal retaining all 100,000 shares, the committee permits exactly one full-sized overlay: a covered call, a protective put, or one short forward per share held. Overlays cannot be combined or resized. The resulting current stock-equivalent delta must be strictly positive and no greater than 40,000 shares. The mandate concerns current sensitivity, not sensitivity across all possible future prices.

Executable dealer snapshot

A trader reports an apparent put-call-parity discrepancy using the following separate snapshot. These executable quotes must not be combined with the reference premiums above. Contract terms and financing rates are unchanged.

For either complete parity trade, additional implementation costs total $0.06 per share, paid immediately. These costs cover all charges beyond the quoted spreads and stated financing. Short selling is permitted, short-sale proceeds are usable, and there are no additional collateral funding costs for this test.

Separate treasury stress test

Under another implementation proposal, the purchased call is an uncollateralized bilateral contract, while the written put is centrally cleared with a different counterparty. There is no netting between the legs.

One month after inception, replacement values are $3 for the call and $17 for the put. Required cash variation margin equals the increase in the written put’s value above its inception value of $5. Initial margin is already funded separately and remains unavailable.

After all inception transactions, the fund has $10 of available cash per option pair for variation margin. During this stress test, positions must remain unchanged, and no other assets may be sold or pledged.

Question 21

Using the reference market, which cash position converts one purchased call and one written put into a newly initiated, zero-cost long forward at its fair delivery price?

• A. Invest $100 for six months.
• B. Invest $4 for six months.
• C. Borrow $4 for six months.

Best answer: C

For European options with identical strikes and expiration dates, a long call and short put produce a terminal payoff of \(S_T-K\), where \(S_T\) is the expiration share price and \(K\) is the strike. Here, the option package costs $4 and pays \(S_T-102\). It therefore resembles an existing forward with a favorable delivery price, not a newly initiated zero-value forward.

Borrowing $4 eliminates the initial cash outlay. The loan repayment is \(4(1.02)=4.08\), leaving a terminal payoff of \(S_T-106.08\). The fair forward delivery price is also \(104(1.02)=106.08\). By contrast, investing $100 alongside the options supplies the $102 strike at expiration and creates a fully funded synthetic share.

Answer choices explained:

A — Incorrect: The $100 investment pays $102 at expiration, producing a fully funded share replacement with an initial cost of $104, rather than a zero-cost forward.

B — Incorrect: This requires an $8 initial outlay and adds $4.08 at expiration, producing the share price minus $97.92 rather than a newly initiated fair forward.

C — Correct: Borrowing funds the $4 net option premium. Repayment of $4.08 changes the terminal payoff to the share price minus $106.08, the fair forward delivery price.

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Question 22

Which permitted overlay satisfies the committee’s current stock-equivalent delta requirement for the retained-share proposal?

• A. Buy one put for each share held.
• B. Write one call for each share held.
• C. Sell one forward for each share held.

Best answer: B

Portfolio delta is the sum of the component deltas, including position signs. A covered call combines a share with a written call; its delta is \(1-0.625=0.375\). Across 100,000 shares, this gives 37,500 stock-equivalent shares, satisfying the requirement for positive exposure no greater than 40,000 shares.

A protective put combines a share with a purchased put, giving delta of \(1+(-0.375)=0.625\), or 62,500 shares. A short forward offsets the share’s unit delta and leaves zero current exposure. The committee’s restriction to one full-sized overlay matters: resizing a forward hedge could meet the target, but that alternative is expressly unavailable. These conclusions concern current marginal sensitivity; option deltas change as market conditions change.

Answer choices explained:

A — Incorrect: The protective-put position has delta of \(1-0.375=0.625\) per share, giving 62,500 stock-equivalent shares and exceeding the 40,000-share limit.

B — Correct: The covered-call position has delta of \(1-0.625=0.375\) per share, giving 37,500 stock-equivalent shares, within the committee’s permitted range.

C — Incorrect: With no dividends, each short forward has spot delta of -1. The combined share and forward position has zero delta, violating the strictly positive requirement.

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Question 23

Using only the executable dealer snapshot, which conclusion about the apparent put-call-parity arbitrage is most accurate?

• A. An arbitrage exists, providing an initial receipt of $0.04 per share after costs.
• B. No arbitrage exists; the apparent parity trade requires an initial outflow of $0.02 per share after costs.
• C. An arbitrage exists, providing an initial receipt of $0.07 per share after costs.

Best answer: B

An executable parity arbitrage must use buying prices at the ask, selling prices at the bid, and all implementation costs. The apparent opportunity is a conversion: buy the share and put, write the call, and borrow the present value of the $102 strike. At the stated financing rate, that borrowing is $100.

The initial cash flow per share is:

\[ 100+9.00-104.01-4.95-0.06=-0.02. \]

At expiration, the share-plus-put-minus-call position pays exactly $102, which repays the borrowing. Thus, the trade produces an initial outflow followed by no net terminal receipt. The reverse parity trade also requires an initial outflow, of $0.16 per share. Midpoint discrepancies alone do not establish arbitrage when spreads and other costs prevent profitable execution.

Answer choices explained:

A — Incorrect: The executable conversion generates $0.04 before additional implementation costs. Deducting the stated $0.06 changes that receipt into a $0.02 outflow.

B — Correct: Borrowing $100, selling the call, and buying the share and put produces \(100+9.00-104.01-4.95-0.06=-0.02\) initially, with zero terminal payoff.

C — Incorrect: The $0.07 discrepancy uses midpoint prices and excludes implementation costs. The fund must transact at the appropriate bid and ask prices.

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Question 24

In the separate treasury stress test, what are the additional external cash requirement and unsecured dealer exposure per option pair, respectively?

• A. $2 of additional cash and $3 of unsecured exposure.
• B. $7 of additional cash and $3 of unsecured exposure.
• C. $2 of additional cash and no unsecured exposure.

Best answer: A

Terminal payoff replication does not establish identical interim liquidity needs or counterparty protection. Those depend on the contracts’ collateral arrangements, counterparties, and permitted funding sources.

The written put’s replacement value increases from $5 to $17. Under the specified agreement, cash variation margin is therefore $12. With only $10 available and no ability to alter positions or pledge other assets, the fund requires $2 of external cash.

The purchased call has a positive replacement value of $3. Because that contract is uncollateralized, the amount remains unsecured exposure to its dealer. The separately cleared put neither supplies collateral for the call nor creates an enforceable netting offset. Economic replication at maturity must therefore be distinguished from liquidity and credit-risk equivalence.

Answer choices explained:

A — Correct: Variation margin is \(17-5=12\), exceeding available cash by $2. The uncollateralized purchased call creates a separate $3 positive replacement-value exposure.

B — Incorrect: The $7 cash estimate incorrectly funds the put’s entire $17 value. Required variation margin is only its $12 increase from inception.

C — Incorrect: The cash shortfall is $2, but clearing the written put does not protect the purchased call’s $3 claim against a different, uncollateralized dealer.

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Case 7

Topic: Ethical and Professional Standards

Alder Private Markets Co-Investment

Mira Rao, CFA, manages discretionary private equity accounts for Wren Endowment and Vale Foundation at Alder Private Markets. She is finalizing their participation in a software-company co-investment sponsored by Stratus Partners. Closing is scheduled for May 15; today is May 13.

Gifts and consulting compensation

On April 4, Vale sent Rao $1,500 of theater tickets to thank her for a successful investment realized the previous year. The gift was unsolicited, had not been promised, and imposed no future performance condition. Before accepting, Rao informed Alder, which assessed the potential conflict and permitted her to retain the tickets under its gift policy.

Stratus subsequently offered Rao $18,000 personally for separate strategic consulting work for the software company. Rao was qualified to perform the work outside Alder’s business hours without using its resources. On May 1, Alder’s chief investment officer orally approved the fully described arrangement, but written employer consent remained pending.

Rao provided both clients with full written disclosure of the consulting relationship, personal fee, and associated conflicts on May 2. Both clients gave written consent on May 3. Rao signed Stratus’s written consulting agreement and began work on May 6, receiving the $18,000 on May 7. These client disclosures addressed only the consulting arrangement.

Referral payments and client decisions

Under a separate written agreement signed by Rao, Stratus, and Alder on April 15, Stratus pays Rao personally $4,000 in cash for each client that subscribes to the co-investment. Alder’s written authorization expressly covers only this referral arrangement.

An April 18 client letter stated that Rao “may receive compensation for introducing investment opportunities.” It did not identify the payment’s nature, amount, or calculation method.

Rao recommended the investment on May 8. Both clients submitted binding subscriptions on May 10, subject only to allocation scaling. Stratus paid Rao $8,000 on May 11. She disclosed the complete referral-payment terms to the clients on May 13.

Available capacity and allocation requests

Both client subscriptions are suitable and comply with their investment mandates. They request the same share class at the same price, have equal contractual access, and face no minimum allocation sizes.

Alder’s established allocation policy divides limited client capacity in proportion to documented, eligible subscription requests. Neither account has contractual priority.

On May 11, Stratus confirmed that only $1,200,000 was available in total. It also offered Rao an attractive personal allocation of up to $600,000 at the same price and terms. Her personal investment would come from that same $1,200,000 pool and would reduce the amount available to clients.

Rao had obtained routine written personal-trade preclearance on May 9, before the final capacity was known. She fully disclosed the proposed personal participation and its effect on available capacity to both clients on May 12. No investment orders have yet been executed.

Question 25

Regarding the employer-consent requirements for the theater tickets and consulting fee, which conclusion is most accurate?

• A. Neither benefit required prior written employer consent because both were disclosed before acceptance.
• B. Both benefits required prior written employer consent because both supplemented Rao’s compensation.
• C. Only the consulting fee required prior written employer consent because the tickets rewarded completed performance.

Best answer: C

The timing and purpose of a benefit determine the applicable treatment. Vale’s unsolicited tickets rewarded completed performance rather than promising compensation for future results. Rao disclosed the gift before acceptance, allowing Alder to assess its effect on her objectivity and treatment of other clients.

The consulting agreement is prospective additional compensation from another party. Standard IV(B), Additional Compensation Arrangements, requires written consent from all parties involved before acceptance. Stratus supplied a written agreement and the affected clients gave written consent, but Alder supplied only oral approval. Rao therefore breached the employer-consent requirement when she entered the arrangement. Full client conflict disclosure under Standard VI(A) does not replace this separate employer obligation, and later written approval would not erase the earlier breach.

Answer choices explained:

A — Incorrect: Disclosure and oral approval do not satisfy the written-consent requirement for additional compensation. The clients’ written consent cannot substitute for Alder’s written consent.

B — Incorrect: The unsolicited gift rewarded completed performance and was disclosed before acceptance. It does not require the same advance written consent as prospective additional compensation.

C — Correct: Rao appropriately reported the retrospective client gift, but accepting prospective outside compensation required written employer consent before she entered the consulting arrangement.

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Question 26

Which referral-disclosure practice would have complied with Rao’s obligations to the clients?

• A. Disclose Stratus’s $4,000 cash payment per investing client before the May 8 investment recommendations.
• B. Disclose Stratus’s referral relationship before the May 8 recommendations and its payment terms after client commitments.
• C. Disclose Stratus’s $4,000 cash payment per investing client on May 13, before the May 15 closing.

Best answer: A

Standard VI(C), Referral Fees, requires disclosure of compensation or benefits received for recommending products or services. Disclosure must explain the nature and value of the benefit sufficiently for clients to evaluate the recommendation’s potential bias. Here, the known terms were cash compensation from Stratus of $4,000 for each investing client.

Providing those terms before the May 8 recommendations would allow informed evaluation before the May 10 binding subscriptions. The April 18 statement that Rao might receive compensation was too general. The May 13 disclosure supplied the missing details only after the clients had committed. Neither Alder’s written authorization nor the eventual receipt of the payments determines when client disclosure becomes necessary. Employer approval and timely client disclosure serve different purposes.

Answer choices explained:

A — Correct: This provides the payment’s source, nature, and amount while clients can still evaluate the incentive before acting on Rao’s recommendation.

B — Incorrect: Disclosing only the relationship omits material compensation terms already known to Rao. Clients need that information before committing, not afterward.

C — Incorrect: The clients made binding commitments on May 10. Disclosure before closing is too late to inform their investment decisions.

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Question 27

Given the confirmed capacity, which treatment of Rao’s personal request is most consistent with the Standards?

• A. Include her $600,000 request in the same pro rata calculation as the client orders.
• B. Accept the $600,000 request after full client disclosure and confirmation of employer approval.
• C. Exclude her $600,000 request while the clients’ eligible orders remain unfilled.

Best answer: C

Standard VI(B), Priority of Transactions, gives client investment transactions priority over transactions in which a member is the beneficial owner. The issue is not whether Rao pays the same price or follows the same mathematical allocation procedure. It is whether her participation disadvantages clients.

The clients have suitable, eligible orders totaling $1,800,000 against only $1,200,000 of available capacity. Rao’s personal allocation comes from that same pool, so every dollar allocated to her reduces the amount available to clients. She should therefore exclude her personal request under the stated conditions. Routine employer preclearance does not override client priority. Full disclosure addresses transparency about the conflict, but it does not cure an allocation that improperly favors the manager’s personal investment.

Answer choices explained:

A — Incorrect: Treating the personal request equally with client requests still reduces client allocations. Personal transactions do not have equal priority with client transactions.

B — Incorrect: Disclosure and employer approval do not justify taking scarce investment capacity away from suitable, outstanding client orders.

C — Correct: Client demand of $1,800,000 exceeds the $1,200,000 pool. Any personal participation would disadvantage clients by reducing their available investment capacity.

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Question 28

Under Alder’s allocation policy, what percentage of the amount allocated to client accounts should Vale Foundation receive?

• A. 33.3%
• B. 50.0%
• C. 66.7%

Best answer: A

Fair dealing requires a reasonable, consistently applied allocation process, not necessarily equal investment amounts. Alder’s established policy uses eligible subscription requests, and both client requests are suitable, mandate-compliant, and entitled to the same contractual access.

Vale’s share of client allocations is therefore:

\[ \frac{600{,}000}{1{,}200{,}000+600{,}000}\times100\%=33.3\%. \]

This proportion can be determined without first calculating the dollar amount ultimately available to clients. Vale’s earlier gift provides no basis for preferential treatment, just as its smaller requested investment provides no basis for an equal split. Applying the documented allocation policy consistently supports Standard III(B), Fair Dealing, and limits the opportunity for compensation or personal relationships to influence allocation decisions.

Answer choices explained:

A — Correct: Vale requested $600,000 of the clients’ combined $1,800,000, so its policy-based share is one-third of the capacity allocated to clients.

B — Incorrect: An equal division ignores the different eligible subscription requests. Fair dealing does not require identical allocations to accounts with different documented demand.

C — Incorrect: This reverses the clients’ order-based weights. Wren, not Vale, submitted the request representing two-thirds of total eligible client demand.

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Case 8

Topic: Private Markets Pathway

Alderbridge’s Investment in Rillstone

Maya Desai, a partner at Alderbridge Ventures, is evaluating an investment in Rillstone Filtration, a venture company developing industrial filtration equipment. All amounts are in US dollars, and all month numbers are measured from the proposed closing date.

Proposed closing

Rillstone has no cash or debt immediately before closing. The proposed transactions are:

Alderbridge will purchase all newly issued shares and the founder shares at the same price per share. The founders retain the proceeds from their share sale.

All shares have identical economic rights. There are no options, warrants, or other potential changes in share count beyond the stated financing rounds. Ignore taxes, transaction costs, management fees, and carried interest.

Operating milestones and further financing

Net operating cash burn will remain $0.30 million per month until the next financing. There are no other financing receipts or minimum cash reserve requirements under the baseline plan.

Laboratory tests indicate that Rillstone’s equipment reduces customer operating costs by 30%. Customer purchase agreements become effective only after an independent customer-site trial demonstrates savings of at least 20% under normal operating conditions. No customer-site results are yet available.

Pilot manufacturing has already met required quality and production-yield specifications. The remaining planned milestones are:

If the customer-site trial succeeds, Rillstone will raise $12 million at a $36 million pre-money equity valuation in month 18. Other investors will provide the entire round. Alderbridge will not participate. Under the baseline plan, there will be no subsequent equity issuances.

Exit and valuation assumptions

Alderbridge assigns a 60% probability to a successful customer-site trial. Conditional on trial success and the planned financing, the probability of reaching a successful sale in month 60 is 50%.

In that successful sale, enterprise value will be $240 million and net debt will be $40 million. In every other outcome, Alderbridge receives nothing. There are no distributions before exit.

Alderbridge applies a 25% annual effective required return to probability-weighted equity cash flows.

Question 29

Immediately after the proposed closing, Alderbridge’s ownership of Rillstone is closest to:

• A. 33.3%.
• B. 30.8%.
• C. 44.4%.

Best answer: A

Primary financing increases company cash and creates new shares. A secondary purchase transfers existing shares between owners without increasing company cash or the total share count. Rillstone therefore has a post-money equity value of $24 million, not $26 million. Because Alderbridge purchases both blocks at the same share price, its total shareholding can be valued against that post-money capitalization:

\[ \text{Ownership}=\frac{6+2}{18+6}=33.3\%. \]

The $2 million secondary purchase increases Alderbridge’s ownership but does not extend Rillstone’s operating runway. Only the $6 million primary investment is available to fund company operations.

Answer choices explained:

A — Correct: Post-money equity value is $24 million. Alderbridge acquires $8 million of shares at the same price, giving it one-third ownership.

B — Incorrect: Calculating \(8/(18+8)\) incorrectly treats the $2 million founder payment as new company capital that increases post-money equity value.

C — Incorrect: Calculating \(8/18\) uses the pre-money denominator and omits the additional shares created by the $6 million primary financing.

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Question 30

Assuming the planned month 18 financing closes, Alderbridge’s ownership immediately after that round is closest to:

• A. 25.0%.
• B. 22.2%.
• C. 18.8%.

Best answer: A

A nonparticipating investor’s ownership is diluted when a company issues additional shares. The month 18 round has a $36 million pre-money equity valuation and raises $12 million, producing a $48 million post-money valuation. All existing shares consequently retain 75% of their previous percentage ownership.

\[ \text{Alderbridge ownership}=\frac{6+2}{18+6}\times\frac{36}{36+12}=25.0\%. \]

Both the primary and secondary shares acquired at closing receive the same dilution treatment. The increase in Rillstone’s valuation between rounds does not prevent percentage dilution: valuation appreciation and ownership dilution are separate effects. Maintaining its percentage ownership would require Alderbridge to participate in the new round.

Answer choices explained:

A — Correct: Existing shareholders retain \(36/48=75\%\) of the company; applying that retention factor to Alderbridge’s initial holding produces 25.0% ownership.

B — Incorrect: This result calculates dilution using \(12/36\), incorrectly dividing new capital by pre-money rather than post-money equity value.

C — Incorrect: This result dilutes only the shares acquired through Alderbridge’s $6 million primary investment, excluding its $2 million secondary share purchase.

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Question 31

Using the baseline assumptions, the probability-weighted present value at closing of Alderbridge’s proposed equity interest is closest to:

• A. $6.55 million.
• B. $5.90 million.
• C. $4.92 million.

Best answer: C

The success-state payoff must first reflect exit equity value and financing dilution. Exit equity value is $200 million after deducting net debt. Alderbridge’s ownership after both rounds is determined from its $8 million initial share purchase and the subsequent externally funded financing:

\[ \text{Success-state proceeds}=\frac{8}{24}\times\frac{36}{48}\times(240-40)=50\text{ million}. \]

The 50% commercial-success probability is conditional on trial success, so the unconditional success probability is \(0.60\times0.50=0.30\). Failure recoveries are zero, and month 60 is five years after closing:

\[ \text{Present value}=\frac{50\times0.30}{1.25^5}=4.9152\text{ million}. \]

The future $12 million financing is provided by other investors; its effect is dilution, not an additional Alderbridge outflow. The result values the interest rather than subtracting today’s purchase price to calculate NPV.

Answer choices explained:

A — Incorrect: This value applies Alderbridge’s initial ownership to exit equity value without recognizing dilution from the month 18 financing.

B — Incorrect: This value treats the $240 million enterprise value as equity value, failing to deduct the $40 million of exit net debt.

C — Correct: Successful-exit proceeds are $50 million, with a 30% unconditional probability. Discounting the $15 million expected payoff for five years gives $4.92 million.

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Question 32

For this question only, the customer-site trial is delayed to month 17. A financing round closes six months after its supporting milestone. External bridge capital is available with no cash charges before that round, and operating cash burn is unchanged.

Alderbridge requires the $12 million commercialization round to follow direct validation of the customer-adoption assumption. Which revised plan meets this requirement while maintaining liquidity?

• A. Use the distribution agreements as the gate and close the commercialization round in month 16 without bridge capital.
• B. Use the customer-site trial as the gate and secure $0.90 million of external bridge capital before month 20.
• C. Use the customer-site trial as the gate and fund operations through month 23 from the full $8.00 million closing payment.

Best answer: B

A useful financing milestone tests the uncertainty that determines whether the business can attract paying customers. Here, customer purchases depend on independently demonstrated operating-cost savings. Manufacturing certification and distribution coverage do not establish that condition.

With the trial delayed to month 17, a trial-supported financing closes in month 23. Rillstone receives only $6 million at the initial closing, giving it 20 months of runway at the unchanged burn rate. Its additional funding requirement is:

\[ \text{Bridge requirement}=(23\times0.30)-6=0.90\text{ million}. \]

Securing that bridge before existing cash is exhausted preserves the evidence-based commercialization gate and maintains liquidity through the delayed round. The founder share purchase provides ownership to Alderbridge but no operating cash to Rillstone.

Answer choices explained:

A — Incorrect: Distribution agreements contain no minimum purchases and do not verify the operating-cost savings required to activate customer purchase agreements.

B — Correct: The trial directly tests adoption economics. Financing in month 23 requires $6.90 million of cumulative operating cash, exceeding company proceeds by $0.90 million.

C — Incorrect: Only $6 million reaches Rillstone, supporting 20 months of operations. The $2 million paid to founders cannot fund company cash burn.

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Case 9

Topic: Private Markets Pathway

Riverton Endowment’s Manager Review

Maya Chen, director of private markets at Riverton Endowment, is evaluating a $30 million commitment to Alder Quay Buyout Fund IV. Riverton seeks managers with substantiated investment results and reliable current operating controls. Its liquidity plan supports the proposed commitment. Alder Quay will hold Riverton’s allocation for 90 days at unchanged terms while diligence continues.

The unrealized gain

Fund III reports December 31, 2026 NAV of $500 million, net of fund-level expenses and accrued carried interest. Its largest unrealized gain comes from its common-equity investment in Morrow Sensors. The holding values below are before fund-level accruals. All monetary amounts in the exhibits are USD millions.

There were no purchases, sales, or distributions involving the holding during 2026. At year-end, Morrow had only common equity outstanding, with no dilution instruments, nonoperating assets, or other valuation adjustments.

Alder Quay attributes the gain to anticipated customer expansion and applies the 12.0x multiple to forecast EBITDA. The valuation file derives that multiple from transactions priced on normalized trailing EBITDA; it contains no adjustment between trailing and forward multiple bases.

An independent valuation specialist verifies trailing EBITDA and net debt against company statements and lender records. For a preliminary comparable-basis cross-check, the specialist uses the same 12.0x multiple but applies it to trailing EBITDA. The specialist emphasizes that this is a cross-check, not a completed fair-value opinion.

Valuation governance and administration

The CFO receives forecasts from deal partners, prepares valuation models, and submits proposed marks to a committee consisting of the managing partner and the deal partners. The committee follows a written quarterly valuation policy. Its Morrow minutes state, “Forecast reviewed; valuation complies with policy; approved.” The package contains no documented challenge to the customer assumptions or reconciliation of the multiple’s earnings basis.

After committee approval, the CFO sends the marks to the independent administrator. The administrator recomputes model arithmetic, reconciles ownership to issuer records and cash to bank statements, and checks that booked values match the approved schedule. Its engagement does not include selecting multiples or assessing the reasonableness of forecasts. Recent reconciliations contain no exceptions.

Audit and reference evidence

Fund III’s US GAAP financial statements received an unmodified audit opinion dated March 15, 2027. There was no separate assurance engagement on the effectiveness of valuation controls.

A third-party diligence firm has reconciled fully liquidated Fund II’s reported net results to administrator records, sale documents, and bank receipts, including fees and carried interest. Two LP references confirm receiving the reported distributions. However, their detailed operational reviews predate the arrival of the current CFO and departure of the former valuation head 18 months ago.

Developments after year-end

Morrow’s first-quarter 2027 EBITDA is $3.4 million, compared with a $5 million budget. In April, Morrow signs a major customer contract whose negotiations began after year-end.

Later in April, an unrelated investor contributes $50 million for preferred shares representing 20% of post-financing equity on an as-converted basis. The financing implies a $250 million headline post-money equity valuation. Fund III retains common shares and is diluted from 60% to 48%. The preferred shares have a senior, 1x nonparticipating liquidation preference.

Alder Quay argues that the financing independently corroborates the December holding value because 48% of the headline post-money valuation equals the reported carrying value.

Question 33

Using the independent specialist’s comparable-basis approach, Fund III’s year-end holding-value cross-check for Morrow Sensors is closest to:

• A. $120 million.
• B. $108 million.
• C. $84 million.

Best answer: C

A valuation cross-check must align the earnings measure with the basis of the selected multiple. Here, the transaction evidence supports a multiple of normalized trailing EBITDA, not an unchanged multiple applied to the higher forecast.

The specialist’s approach produces enterprise value of $180 million and common-equity value of $140 million. Fund III’s interest is therefore:

\[ (15 \times 12 - 40) \times 0.60 = 84 \quad \text{USD millions} \]

The difference from the reported mark identifies an important diligence issue, but it does not establish that $84 million is the definitive fair value. Forward earnings can support valuation when appropriately substantiated and paired with a consistently calibrated multiple. The missing bridge between earnings bases requires investigation.

Answer choices explained:

A — Incorrect: This reproduces the manager’s forecast-based mark: \((20 \times 12 - 40) \times 0.60 = 120\), rather than using the specialist’s trailing-earnings basis.

B — Incorrect: This applies Fund III’s ownership to enterprise value without deducting net debt: \(15 \times 12 \times 0.60 = 108\).

C — Correct: Trailing EBITDA implies enterprise value of $180 million. Deducting $40 million of net debt and applying 60% ownership gives $84 million.

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Question 34

Which proposed pre-NAV control would most directly address the risk that unsupported deal-team assumptions enter Fund III’s reported valuations?

• A. Require a reviewer independent of the investment team to corroborate key inputs and authorize material marks before release.
• B. Require the administrator to reperform models using manager-approved inputs and authorize material marks before release.
• C. Require existing committee members to attest to written-policy compliance and authorize material marks before release.

Best answer: A

Effective valuation governance distinguishes preparation, substantive review, and authorization. A separate administrator can provide valuable controls without independently verifying the economic assumptions driving NAV. Alder Quay’s administrator checks arithmetic, ownership, cash, and agreement with the approved schedule; none of these procedures establishes that forecast EBITDA or the selected valuation basis is reasonable.

The committee supplies formal approval, but its investment-team membership and limited review evidence leave a self-review risk. A reviewer independent of that team should corroborate important operating inputs, challenge forecast support, and document approval before material marks enter NAV. This adds substantive verification rather than another signature to the existing process. A written policy and completed reconciliations remain useful, but their existence alone does not demonstrate effective valuation challenge.

Answer choices explained:

A — Correct: Independent input corroboration and approval address the missing substantive challenge between deal-team forecasts, model preparation, and final valuation authorization.

B — Incorrect: Reperforming calculations can detect implementation errors, but reliance on manager-approved assumptions leaves the underlying forecast and multiple-selection risks unresolved.

C — Incorrect: Additional attestations by the same investment personnel strengthen documentation but do not introduce independent corroboration of the assumptions supporting the gain.

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Question 35

Which assessment of Alder Quay’s claim about the April financing is most appropriate?

• A. It directly corroborates the December mark because the April customer contract supplies the operating support missing from the year-end valuation file.
• B. It requires a separate valuation bridge because the financing prices different security rights after operating and contractual developments following year-end.
• C. It directly corroborates the December mark because dilution-adjusted ownership produces the same value using the financing’s headline equity valuation.

Best answer: B

An arm’s-length financing is useful valuation evidence only after considering the security purchased and the conditions prevailing at the relevant measurement date. Fund III owns common shares, whereas the new investor receives a senior liquidation preference. The preferred shares can therefore have different economic value per as-converted share, particularly in downside outcomes. Multiplying the headline post-money equity valuation by diluted common ownership does not resolve that allocation issue.

Timing also matters. The financing follows weaker-than-budget first-quarter EBITDA and a customer contract negotiated after year-end. Those developments belong in an explicit bridge between December conditions and the financing date. The transaction may inform a later valuation, but the matching headline arithmetic does not independently validate the earlier common-equity mark.

Answer choices explained:

A — Incorrect: Negotiations began after year-end, so the signed contract reflects subsequent developments rather than direct confirmation of conditions supporting the December forecast.

B — Correct: The preferred shares’ liquidation rights and the later information set must be considered before using the financing to assess December common-equity value.

C — Incorrect: The arithmetic matches, but applying a preferred financing’s headline valuation proportionately to common shares ignores different security rights and intervening developments.

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Question 36

Which recommendation best integrates the diligence evidence with Riverton’s commitment decision?

• A. Decline the allocation and exclude all historical fund results from selection, requiring a new audited track record before reconsidering the manager.
• B. Commit now using a conservative NAV adjustment and enhanced quarterly reporting, relying on the audit and verified exits to support current operating controls.
• C. Use the allocation hold to resolve material valuation and control gaps, while retaining independently verified realized results in the manager assessment.

Best answer: C

Manager selection should distinguish investment evidence from operating assurance. An unmodified financial statement audit provides reasonable assurance about the statements as a whole; it does not guarantee every valuation assumption or establish effective controls without an appropriate separate engagement. The older LP references also offer limited evidence about the current personnel and workflow.

Nevertheless, the independently reconciled realized results remain relevant evidence of investment performance. One disputed mark should not automatically erase that record. Riverton can preserve both distinctions by using the 90-day hold to obtain stronger valuation support and evidence that material control gaps have been addressed. Because the allocation remains available at unchanged terms, there is no stated access benefit to accepting unresolved issues immediately. An eventual commitment should depend on the completed diligence, not merely a provisional NAV haircut.

Answer choices explained:

A — Incorrect: The disputed unrealized mark and current control weaknesses do not invalidate historical realized cash flows that have been independently reconciled.

B — Incorrect: A valuation haircut and additional reporting do not establish effective current controls; neither the financial audit nor verified historical exits supplies that assurance.

C — Correct: The hold permits further verification before a binding commitment, without discarding substantiated realized results merely because current valuation evidence is deficient.

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Case 10

Topic: Private Markets Pathway

Ravenport Retirement Trust

Ravenport Retirement Trust manages $2 billion for a mature pension plan. Benefits increase annually with CPI, without a cap, and extend over more than 25 years. Next year’s benefit payments are forecast at $90 million. Contributions plus spendable cash receipts from retained public investments are forecast at $70 million. Trustees want to preserve the cash reserve and avoid security sales beyond those funding the proposed investments.

Current portfolio and proposed funding

Listed equities include substantial cyclical industrial and transport exposures. Corporate credit includes $160 million of bonds issued by Vela Freight. The REIT sleeve primarily owns office and retail properties.

The investment team proposes four private investments of $100 million each, financed by selling $300 million of listed equities and $100 million of non-Vela corporate bonds. All existing Vela bonds would be retained. Each private commitment would be fully contributed at closing, with no unfunded commitments remaining.

Proposed private investments

• Industrial buyout: Equity ownership of industrial maintenance businesses whose revenues depend on corporate production and capital spending. Operating-company debt equals 5.5 times EBITDA, with floating-rate financing requiring refinancing in year five. The manager targets a 15% net IRR over seven years and forecasts no distributions before exit.
• Vela private debt: An unlevered vehicle investing $100 million in first-lien Vela loans. At current rates, first-year interest comprises $8 million paid in cash and $3 million paid in kind, added to loan principal. The annual management fee is $1 million, paid from cash interest. Principal and accumulated PIK interest mature in year five.
• Medical-office real estate: A $200 million property portfolio financed with $100 million of equity and a $100 million fixed-rate mortgage maturing in year 15. Properties are fully occupied by unrelated health-care tenants. Ten-year leases have uncapped annual CPI rent adjustments on the same dates as pension benefit adjustments; tenants pay operating expenses. First-year property NOI is $16 million. Cash uses are $6 million of mortgage interest, $3 million of capital expenditure, $2 million of scheduled mortgage principal and a $1 million management fee. Remaining cash is distributed to equity investors.
• Freight-terminal infrastructure: A $250 million operating terminal financed with $100 million of equity and $150 million of fixed-rate project debt requiring refinancing in year five. Vela is the sole counterparty under an 18-year fixed nominal availability-payment contract. There is no government or third-party payment guarantee. First-year equity distributions, after debt service and all fees, are forecast at $8 million, comprising $5 million of income and $3 million of returned contributed capital.

For first-year forecasts, floating interest rates remain unchanged, counterparties perform as contracted, and there are no asset sales or refinancing distributions. Taxes are ignored.

Valuation evidence

The buyout and private-debt managers use quarterly valuation models. The terminal is valued quarterly using discounted cash flow. Medical-office properties receive quarterly appraisals, often using comparable transactions from one or two quarters earlier.

Over the same five-year period, the property manager reports annualized volatility of 6% and correlation of 0.12 with listed equities, using quarterly appraisal-based total returns. Corresponding figures for the listed REIT sleeve are 18% and 0.60, using quarterly market-priced total returns.

Question 37

Which interpretation of the proposed package’s underlying economic exposures is most accurate?

• A. The buyout retains cyclical equity exposure, while the private loan and terminal reduce Vela concentration through seniority and contractual payments.
• B. The buyout supplies a distinct non-equity risk factor, while the terminal’s asset backing diversifies the trust’s existing Vela credit exposure.
• C. The buyout retains cyclical equity exposure, while the private loan and terminal add to the trust’s existing Vela concentration.

Best answer: C

Portfolio integration requires looking through legal structures to the businesses, obligors and financing arrangements that generate returns. The industrial buyout remains exposed to production, capital spending and equity valuation conditions already relevant to listed equities. Leverage can amplify those exposures; operational control does not eliminate them.

The public corporate-credit allocation falls, but the trust sells only non-Vela bonds. Its $160 million Vela bond holding remains, while the private vehicle adds $100 million of direct Vela lending. The terminal adds indirect exposure because Vela alone supplies its contracted revenues. Both the loan and terminal financing also face year-five refinancing conditions. Asset backing and seniority may improve recoveries, but neither creates an independent economic risk factor.

Answer choices explained:

A — Incorrect: Seniority and contractual payments affect recovery and cash-flow priority; they do not reduce concentration when additional investments depend on the same company.

B — Incorrect: Private ownership does not remove cyclical equity risk, and terminal asset backing does not make payments from Vela independent of Vela’s financial condition.

C — Correct: Industrial operating earnings remain cyclical, while the new Vela loan and Vela-dependent terminal add exposure without reducing the retained Vela bond position.

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Question 38

How should the committee interpret the medical-office strategy’s reported correlation when evaluating total-portfolio diversification?

• A. The low correlation likely represents economic diversification because standardizing returns for correlation removes appraisal-related volatility suppression.
• B. The low correlation likely remains reliable because quarterly sampling aligns the measurement periods of public and private returns.
• C. The low correlation may exaggerate diversification because appraisal lags can defer recognition of shared economic shocks.

Best answer: C

Appraisal-based returns can appear unusually stable and weakly correlated with traded assets because economic changes enter reported valuations gradually. Ravenport’s property appraisals use comparable transactions from earlier quarters, whereas listed assets reflect current information. Measuring both series quarterly does not eliminate this difference.

The reported 0.12 correlation therefore cannot, by itself, establish strong economic diversification. Correlation standardization also does not reverse the timing distortion. The committee should examine lag-adjusted evidence and common-factor stresses involving discount rates, tenant credit, property demand and financing conditions. Genuine diversification may exist, but it should be attributed to economic differences rather than valuation conventions. The listed REIT statistics are useful reference points, not automatic replacements for strategy-specific risk estimates.

Answer choices explained:

A — Incorrect: Standardizing returns does not remove delayed price recognition; appraisal smoothing can distort both measured volatility and contemporaneous covariance.

B — Incorrect: Identical measurement periods do not align underlying information dates when property appraisals incorporate transactions from earlier quarters.

C — Correct: Lagged transaction inputs delay property repricing relative to listed markets, potentially understating contemporaneous dependence and exaggerating apparent diversification.

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Question 39

Under the first-year forecasts, what cash will the four private investments provide for benefit payments, and will it cover the amount not funded by contributions and retained public investments?

• A. $16 million of cash, leaving a $4 million shortfall.
• B. $22 million of cash, leaving a $2 million surplus.
• C. $19 million of cash, leaving a $1 million shortfall.

Best answer: C

Benefit payments require cash, not target returns or accounting income. The buyout’s target IRR provides no first-year cash. Private debt supplies cash interest after its management fee, while PIK interest increases the future claim. Property NOI must first fund financing obligations, capital expenditure and fees.

With all amounts in millions:

\[ C_{\mathrm{property}} = 16 - 6 - 3 - 2 - 1 = 4. \]\[ C_{\mathrm{private}} = 0 + (8 - 1) + 4 + 8 = 19. \]

The pension requires $20 million beyond its $70 million of other receipts to pay $90 million of benefits. Private distributions therefore leave a $1 million shortfall. The terminal’s returned capital is spendable cash, but consuming it should not be confused with earning recurring income or preserving invested capital.

Answer choices explained:

A — Incorrect: This excludes the terminal’s $3 million return of capital, which is available for benefit payments even though it is not income.

B — Incorrect: This includes $3 million of PIK interest as spendable cash, although it is added to loan principal rather than distributed.

C — Correct: Cash distributions are zero from the buyout, $7 million from private debt, $4 million from property and $8 million from infrastructure.

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Question 40

For this question only, Ravenport may add $25 million to a proposed private sleeve, funded by reducing nominal government bonds. All candidate additions satisfy its return, liquidity and position-size limits. Which addition most directly strengthens contractual linkage between asset cash flows and inflation-linked benefits over the next ten years?

• A. Medical-office real estate.
• B. Freight-terminal infrastructure.
• C. Vela private debt.

Best answer: A

Matching inflation-linked liabilities requires examining contractual cash-flow adjustments, not simply whether an investment is classified as a real asset. The medical-office leases provide uncapped annual CPI increases on the pension’s adjustment dates. Tenant-paid operating expenses support the transmission of those rent increases into NOI, while fixed-rate mortgage interest does not reset upward with inflation.

The Vela loan provides floating-rate exposure, but reference interest rates need not move with realized CPI, and its five-year maturity introduces reinvestment risk. The terminal has a long operating contract, but its availability payments remain fixed in nominal terms.

The property allocation is not a complete liability hedge: tenant defaults, capital expenditure, leverage and property valuations still matter. It nevertheless offers the strongest direct contractual inflation linkage among these alternatives.

Answer choices explained:

A — Correct: Uncapped annual CPI rent adjustments coincide with benefit adjustments, while tenant-paid operating expenses support transmission of rent increases into property cash flow.

B — Incorrect: The terminal’s long contract provides fixed nominal payments rather than CPI-linked receipts, so longevity alone does not match inflation-indexed benefits.

C — Incorrect: Floating-rate interest responds to its reference rate, not contractually to CPI, and the loan matures before the ten-year matching horizon ends.

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Case 11

Topic: Private Markets Pathway

Harbor Peak Fund I

Leila Marin, CFA, is a partner at Harbor Peak Capital, the general partner of an industrial buyout fund. She reviews records concerning the fund’s investment in Vela Controls. All amounts are in US dollars.

Capital raising and governance

Fund I has a ten-year life. At its first close on 30 September 2028, it has $300 million of legally binding commitments. Fundraising materials show another $100 million of nonbinding indications expected to become commitments at the June 2029 final close. The materials describe productivity improvements and working-capital management as the core investment approach, with an illustrative five-year holding period.

The fund documents establish these terms:

• The mandate permits control investments in industrial technology manufacturers and related industrial services.
• Aggregate fund capital committed to one portfolio company cannot exceed 15% of legally committed fund capital when an investment becomes binding.
• Amending the concentration limit requires approval from holders of at least 75% of LP interests.
• The LP advisory committee reviews conflicts but cannot waive investment limits. LPs do not approve routine portfolio operations.

The GP proposes a binding $54 million equity commitment to acquire Vela in December 2028, before any additional LP commitments become binding. The investment committee’s December record supports the acquisition subject to compliance with the fund documents.

Acquisition and operating plan

The seller subsequently postpones signing. Vela is acquired on 30 June 2029, after the final close brings legally committed fund capital to $400 million. The fund contributes $54 million, including acquisition expenses.

The investment committee approves a business plan centered on an $8 million automation program funded entirely by Vela. The GP’s operating partner may implement approved projects with Vela’s board. The investment committee retains authority over acquisitions, material business-plan revisions, and exits.

In February 2030, the operating partner proposes redirecting $6 million of the unspent automation budget to acquire a regional valve-maintenance company. The proposal would replace much of the planned organic improvement with acquisition-led growth. It requires no additional fund equity. The proposed add-on is excluded from all subsequent financial figures.

Reporting record

The GP promises quarterly LP reports within 45 calendar days of quarter-end and separate notices of material adverse developments within 10 business days of becoming aware of them. The fund administrator reconciles capital accounts and prepares reporting packages; its engagement excludes investment oversight.

Vela’s results for the quarter ended 30 June 2030 are summarized below. Amounts are in millions.

On 3 July, the GP receives verified balances and confirmation that Vela has breached its minimum-cash covenant. A lender waiver remains pending. The administrator’s preliminary reporting package uses the previous carrying value. Marin reviews the information on 8 July.

Exit alternatives

By 30 June 2032, Vela’s liquidity difficulties have been resolved. The investment committee must choose between two feasible alternatives:

• Accept an unconditional offer delivering $96 million of equity proceeds to the fund immediately.
• Continue the business plan and exit on 30 June 2034, generating expected equity proceeds of $125 million, with no interim distributions or further fund contributions.

The fund has received no previous distributions from Vela. Both exit amounts are after portfolio-company debt repayment and transaction costs, but before fund-level fees and carried interest. Fees, carried interest, and taxes do not change the alternatives’ ranking.

The committee’s criterion is the higher current risk-adjusted value of proceeds attributable to the fund. A 15% annual effective required return is appropriate for Vela’s remaining equity risk. Either alternative fits within the fund’s remaining life.

Question 41

For the proposed December 2028 binding commitment, with fund commitments unchanged, which additional approval must the GP obtain?

• A. Approval by the GP’s investment committee based on expected final-close commitments.
• B. Approval by holders of at least 75% of LP interests to amend the concentration limit.
• C. Approval by the LP advisory committee to waive the concentration limit for this acquisition.

Best answer: B

A GP must apply investment restrictions using the capital base and measurement date specified in the fund documents. In December 2028, only $300 million is legally committed, so the proposed concentration is:

\[ \frac{54}{300}=18\%>15\%. \]

The permitted commitment is only $45 million. Expected subscriptions do not provide present investment capacity, even if fundraising materials reasonably anticipate a larger final close. For the unchanged December transaction, the GP needs the contractually required LP approval to amend the limit. This reserved governance decision does not transfer acquisition selection, negotiation, or diligence responsibilities to LPs. Those remain GP responsibilities, and conditional investment-committee support does not override the fund documents.

Answer choices explained:

A — Incorrect: The additional $100 million consists of nonbinding indications. The investment committee cannot include it in committed capital or override the fund’s concentration limit.

B — Correct: The $54 million commitment would represent 18% of binding capital, exceeding the 15% limit. The specified LP vote is required to amend that limit.

C — Incorrect: The LP advisory committee’s conflict-review authority does not include waiving investment limits. Its approval cannot authorize the proposed concentration.

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Question 42

How should Marin classify the operating partner’s February 2030 proposal under the fund’s mandate and delegation arrangements?

• A. An in-mandate investment within the operating partner’s existing delegated authority.
• B. An in-mandate investment requiring a new investment-committee decision.
• C. An out-of-mandate investment requiring LP approval to amend the permitted strategy.

Best answer: B

Mandate compliance and delegated decision authority are separate tests. A valve-maintenance business fits the fund’s permitted industrial-services exposure, so the proposal does not require LPs to broaden the investment mandate. However, the existing approval concerns an organic automation program, not an acquisition-led strategy. Redirecting $6 million of an $8 million budget materially changes how value would be created, while acquisitions are expressly reserved to the investment committee. The operating partner may develop the proposal and support diligence, but cannot approve it merely because sufficient budget remains. The GP must evaluate acquisition pricing, integration risk, and the revised investment thesis before authorizing implementation through the appropriate decision process.

Answer choices explained:

A — Incorrect: Remaining within the unspent budget does not expand delegated authority. Acquisitions and material business-plan revisions remain reserved to the investment committee.

B — Correct: The target fits the permitted sector, but acquiring it materially replaces the approved automation plan and falls within the investment committee’s retained authority.

C — Incorrect: Valve maintenance is a related industrial service expressly permitted by the mandate. The proposal changes the approved execution plan, not the fund’s permitted investment universe.

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Question 43

Which LP communication approach best satisfies the GP’s obligations after reviewing the information received on 3 July 2030?

• A. Use a 10-business-day event-notice deadline measured from the lender’s waiver decision.
• B. Use the 45-calendar-day quarterly deadline because the administrator has not changed the carrying value.
• C. Use the 10-business-day event-notice deadline measured from the GP’s 3 July awareness.

Best answer: C

Portfolio monitoring must address cash generation, liquidity, and covenant compliance, not merely EBITDA performance or carrying values. Vela meets its EBITDA plan but generates negative operating cash flow and holds only $1.8 million against a $3 million minimum-cash covenant. These facts create material financing risk. The GP’s verified awareness on 3 July starts the separate 10-business-day notification period. The notice can explain the known breach, pending waiver, and uncertainty while the GP continues liquidity oversight and remediation. It need not await a final valuation or lender response. Delegating preparation of reporting packages to an administrator does not transfer investment oversight or allow the regular quarterly timetable to supersede the event-notice commitment.

Answer choices explained:

A — Incorrect: The GP already knows that a covenant breach occurred. A pending waiver affects remediation and subsequent updates, not the start of the notification period.

B — Incorrect: An unchanged preliminary carrying value does not eliminate the material financing development. Quarterly reporting does not replace the separate event-notification obligation.

C — Correct: The verified covenant breach and cash deterioration constitute a material adverse development. The notice period starts with GP awareness, not valuation completion or lender action.

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Question 44

At 30 June 2032, which realization decision is most consistent with the investment committee’s stated value criterion?

• A. Continue the plan because the later exit generates a higher gross multiple of invested capital.
• B. Accept the offer because immediate proceeds exceed the discounted proceeds from continuing.
• C. Continue the plan because the later exit generates a higher gross annualized return.

Best answer: B

A realization decision should compare the current sale opportunity with the risk-adjusted value of remaining cash flows. The original holding period is a planning assumption, not a reason to reject an economically superior early exit. At 30 June 2032, continuation produces one expected cash flow two years later:

\[ \mathrm{PV}_{\mathrm{continue}}=\frac{125}{(1.15)^2}=94.52\text{ million}. \]

The immediate $96 million offer exceeds continuation value by approximately $1.48 million. The original $54 million investment is relevant to historical performance measurement but is sunk for this current decision. A larger eventual money multiple does not necessarily create greater present value. Because both alternatives fit the fund’s life and fund-level charges do not alter their ranking, accepting the offer best meets the committee’s stated criterion.

Answer choices explained:

A — Incorrect: The later exit produces a larger multiple, 2.31 versus 1.78, but that comparison ignores the two-year delay and does not maximize current value.

B — Correct: Continuing is worth approximately $94.52 million today, calculated as \(125/(1.15)^2\), below the immediately available $96 million.

C — Incorrect: The later exit’s five-year gross annualized return is approximately 18.3%, compared with 21.1% for selling after three years; it is not higher.

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Continue with a fresh case

Use explanations to identify the missed condition, then attempt another case in Finance Prep. Combine item-set work with separate written-response practice from your authorized candidate materials.