CSI Portfolio Management Techniques (PMT) Cheat Sheet
Compact PMT Cheat sheet for Canadian Securities Institute Portfolio Management Techniques candidates: portfolio theory, IPS, asset allocation, risk, fixed income, derivatives, and performance.
Use the tables for a quick pre-exam check. Expand a topic’s notes for explanations, examples, and additional distinctions.
Scope and study context
| Item | Reference |
|---|---|
| Provider | Canadian Securities Institute |
| Official exam title | CSI Portfolio Management Techniques (PMT®) |
| Official exam code | PMT |
| Page purpose | Independent quick reference for final-stage review and practice support |
After reviewing this page, move into independent companion practice:
- Start with topic drills for IPS, risk/return, asset allocation, fixed income, derivatives, and performance measurement.
- Review every missed question using detailed explanations, not just the correct option.
- Track mistakes by category: calculation error, concept confusion, missed constraint, wrong metric, or poor reading of the case.
- Re-drill weak areas with original practice questions until you can explain why each wrong answer is wrong.
- Finish with mixed timed sets or mock exams to practice switching topics under exam conditions.
Practical next step: choose one weak PMT topic, complete a focused question bank drill, and review the detailed explanations until the decision rule behind each answer is clear.
High-Yield Portfolio Management Flow
| Step | What to decide | Exam focus |
|---|---|---|
| 1. Define client profile | Objectives, constraints, risk tolerance, time horizon, liquidity, tax, legal, unique needs | Do not skip constraints when recommending a portfolio |
| 2. Build IPS | Return objective, risk objective, asset mix, benchmarks, rebalancing rules, restrictions | IPS is the control document |
| 3. Set asset allocation | Strategic, tactical, dynamic, insured, liability-driven | Asset allocation usually dominates long-term portfolio risk |
| 4. Select securities/managers | Passive, active, factor, style, sector, credit, duration, derivatives | Match method to objective and constraint |
| 5. Implement | Trading, execution cost, tax impact, liquidity, currency exposure | A theoretically optimal portfolio may fail implementation tests |
| 6. Monitor and rebalance | Drift, client changes, market changes, performance attribution | Rebalancing is discipline, not return chasing |
| 7. Report and evaluate | Time-weighted return, money-weighted return, benchmark-relative metrics | Match metric to the question |
IPS Cheat Sheet
| IPS element | Ask | Common exam trap |
|---|---|---|
| Return objective | Required return? Desired return? Real or nominal? | Treating an aspirational return as feasible |
| Risk objective | Ability and willingness to take risk? Shortfall risk? Volatility tolerance? | Ignoring low ability to take risk when willingness is high |
| Time horizon | Single-stage or multi-stage? Near-term cash need? | Long horizon does not eliminate liquidity needs |
| Liquidity | Planned withdrawals, emergency reserves, spending commitments | Recommending illiquid assets to a liquidity-constrained client |
| Taxes | Account type, income character, turnover, tax-loss use | Comparing pre-tax returns for taxable investors |
| Legal/regulatory | Mandates, trust restrictions, investment policy restrictions | Assuming all clients can use leverage or derivatives |
| Unique circumstances | Ethical screens, concentrated holdings, employer stock, currency needs | Treating unique constraints as preferences only |
| Benchmark | Appropriate to mandate, investable, measurable, specified in advance | Using a broad index for a specialized mandate |
Core Return and Risk Formulas
Return Measures
Holding-period return:
\[ HPR=\frac{Ending\ Value-Beginning\ Value+Income}{Beginning\ Value} \]Arithmetic mean return:
\[ \bar{R}_{arith}=\frac{R_1+R_2+\cdots+R_n}{n} \]Geometric mean return:
\[ \bar{R}_{geo}=\left[(1+R_1)(1+R_2)\cdots(1+R_n)\right]^{1/n}-1 \]Expected return:
\[ E(R)=\sum p_iR_i \]Real return approximation:
\[ Real\ Return \approx Nominal\ Return-Inflation \]Exact real return:
\[ Real\ Return=\frac{1+Nominal\ Return}{1+Inflation}-1 \]| Measure | Use when | Watch for |
|---|---|---|
| Holding-period return | One-period realized return | Include income |
| Arithmetic mean | Estimating expected one-period return | Usually higher than geometric mean when returns vary |
| Geometric mean | Multi-period compound growth | Best for actual long-run growth |
| Money-weighted return | Investor controls external cash flows | Sensitive to timing and size of cash flows |
| Time-weighted return | Evaluating manager skill | Neutralizes external cash-flow timing |
Risk, Covariance, and Portfolio Variance
Variance:
\[ \sigma^2=\sum p_i(R_i-E(R))^2 \]Standard deviation:
\[ \sigma=\sqrt{\sigma^2} \]Covariance:
\[ Cov_{A,B}=\rho_{A,B}\sigma_A\sigma_B \]Two-asset portfolio expected return:
\[ E(R_p)=w_AE(R_A)+w_BE(R_B) \]Two-asset portfolio variance:
\[ \sigma_p^2=w_A^2\sigma_A^2+w_B^2\sigma_B^2+2w_Aw_BCov_{A,B} \]| Concept | Interpretation | Exam point |
|---|---|---|
| Standard deviation | Total volatility | Includes systematic and unsystematic risk |
| Covariance | Directional co-movement in return units | Hard to interpret alone |
| Correlation | Standardized co-movement from -1 to +1 | Lower correlation improves diversification |
| Positive correlation | Assets tend to move together | Less diversification benefit |
| Zero correlation | No linear relationship | Some diversification benefit |
| Negative correlation | Assets tend to move opposite | Strongest diversification benefit |
| Perfect positive correlation | Correlation = +1 | No risk reduction from combining assets |
| Perfect negative correlation | Correlation = -1 | Potential to eliminate portfolio variance in a two-asset case |
Notes and examples
Risk and Return Formula Review
Know what each measure captures and when it is appropriate.
Core Portfolio Relationships
\[ E(R_p)=\sum_{i=1}^{n} w_iE(R_i) \]\[ \sigma_p^2=w_A^2\sigma_A^2+w_B^2\sigma_B^2+2w_Aw_B\sigma_A\sigma_B\rho_{A,B} \]\[ \beta_p=\sum_{i=1}^{n} w_i\beta_i \]\[ \text{CAPM expected return}=R_f+\beta_i\left(E(R_m)-R_f\right) \]Metric Selection Table
| Metric | Measures | Best Used When | Trap |
|---|---|---|---|
| Standard deviation | Total volatility | Total portfolio risk matters | Penalizes upside and downside volatility equally |
| Variance | Squared dispersion | Calculation step for volatility | Harder to interpret directly |
| Correlation | Co-movement between assets | Diversification benefit | Low correlation can change during stress |
| Covariance | Direction and strength of joint movement | Portfolio variance calculations | Scale is less intuitive than correlation |
| Beta | Sensitivity to market/systematic risk | Diversified equity portfolio or CAPM | Not a complete risk measure for undiversified portfolios |
| Tracking error | Active risk versus benchmark | Active manager evaluation | Low tracking error does not mean low absolute risk |
| VaR | Estimated loss threshold over period/confidence | Tail risk summary | Does not show how bad losses can be beyond the threshold |
| Downside deviation | Harmful volatility below target | Asymmetric risk preferences | Requires correct target threshold |
| Duration | Bond price sensitivity to interest rates | Fixed-income risk | Higher duration means greater rate sensitivity |
| Convexity | Curvature of bond price-yield relationship | Large yield changes | Duration alone is only an approximation |
Modern Portfolio Theory and CAPM
Beta, CAPM, and Security Market Line
Beta:
\[ \beta_i=\frac{Cov_{i,m}}{\sigma_m^2} \]CAPM expected return:
\[ E(R_i)=R_f+\beta_i[E(R_m)-R_f] \]Alpha:
\[ \alpha_i=R_i-\left(R_f+\beta_i(R_m-R_f)\right) \]| Term | Meaning | Exam use |
|---|---|---|
| Beta below 1 | Less systematic risk than market | Defensive relative to market |
| Beta equal 1 | Market-level systematic risk | Moves with market, in theory |
| Beta above 1 | More systematic risk than market | Aggressive relative to market |
| SML | Expected return vs beta | Used for individual securities or portfolios |
| CML | Expected return vs total risk | Applies to efficient portfolios combining risk-free asset and market portfolio |
| Alpha | Return above or below CAPM-required return | Positive alpha suggests outperformance after beta adjustment |
| Market risk premium | Expected market return minus risk-free rate | Compensation for systematic risk |
Efficient Frontier Decision Rules
| Situation | Correct reasoning |
|---|---|
| Same expected return, lower risk | Choose lower-risk portfolio |
| Same risk, higher expected return | Choose higher-return portfolio |
| Portfolio below efficient frontier | Inefficient; another portfolio offers better risk-return tradeoff |
| Investor adds risk-free asset | Moves along capital allocation line |
| Investor borrows at risk-free rate | Levered position beyond market portfolio, if permitted and suitable |
| Investor is highly risk averse | Higher allocation to risk-free or lower-risk assets |
| Investor is less risk averse | Higher allocation to risky assets |
Performance Ratios and Manager Evaluation
Sharpe ratio:
\[ Sharpe=\frac{R_p-R_f}{\sigma_p} \]Treynor ratio:
\[ Treynor=\frac{R_p-R_f}{\beta_p} \]Jensen’s alpha:
\[ \alpha_p=R_p-\left[R_f+\beta_p(R_m-R_f)\right] \]Information ratio:
\[ IR=\frac{R_p-R_b}{Tracking\ Error} \]Tracking error:
\[ Tracking\ Error=\sigma(R_p-R_b) \]M-squared:
\[ M^2=Sharpe_p \times \sigma_m + R_f \]| Metric | Denominator | Best used when | Trap |
|---|---|---|---|
| Sharpe ratio | Total risk | Portfolio is not well diversified or investor holds only this portfolio | Penalizes upside and downside volatility alike |
| Treynor ratio | Beta | Portfolio is well diversified | Misleading if unsystematic risk is material |
| Jensen’s alpha | CAPM-required return | Testing beta-adjusted excess return | Depends on chosen market benchmark |
| Information ratio | Active risk | Active manager vs benchmark | High return with huge tracking error may score poorly |
| Tracking error | Volatility of active return | Benchmark-relative mandates | Low tracking error does not mean strong performance |
| M-squared | Market-standardized risk | Comparing to market return directly | Derived from Sharpe logic |
Time-Weighted vs Money-Weighted Returns
| Feature | Time-weighted return | Money-weighted return |
|---|---|---|
| Also known as | TWRR | MWRR, IRR-style return |
| Cash-flow effect | Removes impact of external cash-flow timing | Includes impact of external cash-flow timing |
| Best for | Manager performance evaluation | Client’s actual investment experience |
| Calculation logic | Break into subperiods and chain-link returns | Discount rate that equates cash inflows/outflows |
| High-yield distinction | Manager should not be rewarded or punished for client deposits/withdrawals | Investor experience depends on when money was added or removed |
Time-weighted chain-linking:
\[ TWRR=(1+r_1)(1+r_2)\cdots(1+r_n)-1 \]Asset Allocation Techniques
| Technique | Description | Choose when | Watch for |
|---|---|---|---|
| Strategic asset allocation | Long-term target weights based on objectives and constraints | Stable IPS, long-term policy mix | Requires periodic rebalancing |
| Tactical asset allocation | Short-term deviations from policy weights | Manager has market views and mandate permits active tilts | Can increase tracking error and turnover |
| Dynamic asset allocation | Adjusts asset mix as market conditions or portfolio values change | Rules-based risk control or changing opportunity set | Not the same as ad hoc market timing |
| Constant mix | Rebalance back to fixed weights | Buy low/sell high in mean-reverting markets | Can underperform in strong trending markets |
| Buy-and-hold | Initial allocation allowed to drift | Lower turnover, simple implementation | Risk profile can drift significantly |
| Constant proportion portfolio insurance | Increase risky exposure as cushion rises; reduce as cushion falls | Downside protection with upside participation | Gap risk and trading discipline matter |
| Liability-driven investing | Asset strategy tied to liabilities | Pension, insurance, or goal-based liability matching | Focus is surplus/shortfall risk, not just asset volatility |
| Core-satellite | Passive core plus active satellite mandates | Cost control with selective active risk | Satellite risk must not overwhelm policy risk |
Notes and examples
Asset Allocation
Asset allocation is often the most important determinant of portfolio risk and return. Exam questions may test whether you distinguish policy-level allocation from short-term tilts.
| Allocation Type | Meaning | Example |
|---|---|---|
| Strategic asset allocation | Long-term target mix based on IPS | 60% equity, 35% fixed income, 5% cash |
| Tactical asset allocation | Short-term deviation from policy weights | Temporarily overweighting equities |
| Dynamic allocation | Adjusting exposure based on changing conditions or rules | Reducing equity risk as funded status improves |
| Core-satellite | Passive or low-cost core plus active satellites | Index core with specialist managers |
| Liability-driven allocation | Assets selected to match liability timing and sensitivity | Pension duration matching |
Rebalancing
| Rebalancing Method | Strength | Weakness |
|---|---|---|
| Calendar-based | Simple and disciplined | May rebalance when not needed |
| Percentage-of-portfolio | Responds to drift | Requires monitoring and thresholds |
| Constant mix | Buys after declines and sells after gains | Can underperform in strong trends |
| CPPI-style approach | Protects floor while allowing upside | Requires assumptions and monitoring |
Decision rule: Rebalancing is not just mechanical. Consider transaction costs, taxes, liquidity, client constraints, and whether the IPS has changed.
Rebalancing Decision Table
| Rebalancing method | How it works | Advantage | Disadvantage |
|---|---|---|---|
| Calendar-based | Rebalance at set intervals | Simple and disciplined | May trade when drift is immaterial |
| Percentage-of-portfolio | Rebalance when weights breach tolerance bands | Responds to actual drift | Requires monitoring |
| Constant proportion | Maintains fixed risky/safe ratio | Controls risk exposure | Can generate transaction costs |
| Cash-flow rebalancing | Direct contributions/withdrawals to underweight/overweight assets | Tax- and cost-efficient | May be insufficient for large drift |
| Tax-aware rebalancing | Incorporates tax impact in taxable accounts | Improves after-tax outcome | May tolerate wider drift |
Risk Types and Controls
| Risk | Meaning | Common controls |
|---|---|---|
| Market risk | Broad price movements | Diversification, hedging, asset allocation |
| Systematic risk | Non-diversifiable market risk | Beta management, asset allocation, hedging |
| Unsystematic risk | Security- or sector-specific risk | Diversification, position limits |
| Interest rate risk | Bond price sensitivity to rate changes | Duration management, laddering, immunization |
| Reinvestment risk | Future cash flows reinvested at lower rates | Matching, zero-coupon bonds, immunization |
| Credit risk | Issuer downgrade or default | Credit analysis, diversification, quality limits |
| Liquidity risk | Cannot trade quickly at fair price | Liquid reserves, position sizing |
| Inflation risk | Purchasing power erosion | Real assets, inflation-linked securities, equities |
| Currency risk | Foreign exchange movements | Currency hedging, matching currency liabilities |
| Concentration risk | Excess exposure to one issuer/sector/factor | Diversification and exposure limits |
| Model risk | Assumptions produce misleading results | Stress testing, scenario analysis |
| Operational risk | Process, system, or human failure | Controls, oversight, documentation |
| Shortfall risk | Failing to meet a required objective | Goal-based asset allocation, downside analysis |
Fixed Income Portfolio Techniques
Bond Price and Yield Logic
| If market yields… | Existing bond prices… | Long-duration bonds… |
|---|---|---|
| Rise | Fall | Fall more |
| Fall | Rise | Rise more |
Notes and examples
Current yield:
\[ Current\ Yield=\frac{Annual\ Coupon}{Market\ Price} \]Approximate percentage price change using modified duration:
\[ \%\Delta P \approx -Modified\ Duration \times \Delta y \]Duration with convexity adjustment:
\[ \%\Delta P \approx -D_{mod}\Delta y+\frac{1}{2}Convexity(\Delta y)^2 \]| Measure | Meaning | Exam point |
|---|---|---|
| Macaulay duration | Weighted average time to receive cash flows | Often linked to immunization horizon |
| Modified duration | Price sensitivity to yield change | Directly estimates percentage price change |
| Dollar duration | Dollar price change for yield change | Useful for hedging and portfolio-level exposure |
| Convexity | Curvature of price-yield relationship | Positive convexity helps when yields move significantly |
| Yield to maturity | Discount rate equating price to promised cash flows | Assumes holding to maturity and reinvestment at YTM |
| Yield spread | Extra yield over benchmark | Compensation for credit, liquidity, optionality, and other risks |
Fixed Income Strategy Matrix
| Strategy | Objective | Best fit | Main risk |
|---|---|---|---|
| Ladder | Spread maturities over time | Income needs and reinvestment diversification | May not maximize view-based return |
| Barbell | Short and long maturities, fewer intermediates | Yield-curve view, liquidity plus duration | More convexity but may carry reinvestment risk |
| Bullet | Concentrated around one maturity | Known future liability | Less diversification across maturity dates |
| Immunization | Match asset duration to liability horizon | Funding a future obligation | Requires rebalancing as duration changes |
| Cash-flow matching | Match cash inflows to liability payments | High certainty required | Can be costly or hard to construct |
| Active duration | Extend duration if rates expected to fall; shorten if rates expected to rise | Interest-rate view | Wrong rate call hurts performance |
| Credit strategy | Adjust credit quality and spread exposure | Spread or economic cycle view | Downgrade/default risk |
| Yield-curve strategy | Position for steepening, flattening, twists | Yield-curve views | Curve may move differently than expected |
Fixed-Income Portfolio Techniques
Fixed income questions frequently combine return, risk, income, liquidity, and liability matching.
Bond Price and Yield Relationship
| If Market Yields… | Bond Prices… | Longer Duration Impact |
|---|---|---|
| Rise | Fall | Larger price decline |
| Fall | Rise | Larger price increase |
Duration and Convexity
| Concept | What It Tells You | Exam Trap |
|---|---|---|
| Macaulay duration | Weighted average time to receive cash flows | Not the same as modified duration |
| Modified duration | Approximate price sensitivity to yield changes | Approximation is less accurate for large rate moves |
| Effective duration | Sensitivity when cash flows may change | Useful for callable or option-embedded bonds |
| Convexity | How duration changes as yields change | Positive convexity is generally beneficial |
| Negative convexity | Price gains limited when rates fall | Common with callable bonds or mortgage-like structures |
Fixed-Income Strategies
| Strategy | Best Fit | Key Risk |
|---|---|---|
| Ladder | Diversified maturity schedule and liquidity | May not maximize return for a rate view |
| Barbell | Short and long maturities | Reinvestment and long-duration risk |
| Bullet | Maturities clustered around target date | Concentration around one maturity point |
| Immunization | Matching asset duration to liability horizon | Requires rebalancing as rates and durations change |
| Cash-flow matching | Bond cash flows meet liabilities | Can be costly or hard to construct |
| Credit strategy | Earn spread through credit exposure | Default, downgrade, liquidity risk |
| Yield curve strategy | Position for curve shifts | Forecast risk |
Trap: A bond with a higher yield may have more credit risk, liquidity risk, call risk, or duration risk. Do not choose it solely because yield is higher.
Equity Portfolio Management
| Approach | Description | When appropriate | Key risk |
|---|---|---|---|
| Top-down | Economy, market, sector, then securities | Macro or sector rotation process | Macro forecast error |
| Bottom-up | Security fundamentals first | Stock selection mandate | Portfolio may develop unintended factor or sector exposures |
| Value | Seeks underpriced securities vs fundamentals | Mean reversion or valuation discipline | Value traps |
| Growth | Seeks high expected earnings/revenue growth | Expanding companies or sectors | Overpaying for growth |
| Quality | Strong balance sheets, profitability, stability | Defensive equity tilt | Crowded trades and valuation risk |
| Momentum | Buys recent winners/sells laggards | Trend persistence | Sharp reversals |
| Low volatility | Lower-volatility equity exposure | Risk-controlled equity mandate | May lag in strong bull markets |
| Passive indexing | Replicates benchmark | Low cost, benchmark exposure | No downside avoidance beyond index |
| Enhanced indexing | Small active tilts around index | Modest active return target | Tracking error and implementation risk |
| Active concentrated | Fewer high-conviction names | High alpha objective | High unsystematic risk |
Notes and examples
Equity Style Review
| Style | Typical Characteristics | Risks |
|---|---|---|
| Value | Lower valuation multiples, often out-of-favour companies | Value traps, slower growth |
| Growth | Higher expected earnings growth | Valuation risk, sensitivity to expectations |
| Quality | Strong balance sheets, stable profitability | May become expensive |
| Momentum | Recent winners | Reversal risk |
| Dividend/income | Dividend-paying stocks | Sector concentration, dividend cuts |
| Small-cap | Smaller companies | Liquidity, business risk, volatility |
Active vs Passive
| Approach | Advantages | Disadvantages |
|---|---|---|
| Passive | Low cost, transparent, benchmark exposure | No attempt to outperform, benchmark concentration |
| Active | Potential alpha, flexibility, risk control | Fees, manager risk, style drift |
| Enhanced indexing | Small active bets around benchmark | Tracking error still matters |
| Factor investing | Systematic exposure to rewarded factors | Factor cycles and crowding risk |
Exam trap: A manager can outperform because of market beta, sector exposure, style exposure, currency, or luck — not necessarily skill. Performance evaluation must isolate risk-adjusted value added.
Derivatives for Portfolio Management
| Instrument | Core use | Portfolio application | Trap |
|---|---|---|---|
| Forward | Customized agreement to buy/sell later | Currency or asset exposure hedge | Counterparty risk and illiquidity |
| Futures | Exchange-traded standardized contract | Equity index, bond, rate, or commodity exposure | Basis risk and margin discipline |
| Call option | Right to buy | Upside exposure, covered call writing | Premium cost or capped upside if written |
| Put option | Right to sell | Downside protection, protective put | Premium reduces net return |
| Swap | Exchange cash-flow streams | Interest rate or currency exposure management | Counterparty and valuation risk |
| Collar | Long put plus short call | Downside protection with reduced net cost | Upside is capped |
| Covered call | Long asset plus short call | Income generation on held asset | Upside beyond strike is given up |
| Protective put | Long asset plus long put | Portfolio insurance | Costly if repeated often |
Notes and examples
Option Payoff Basics
Long call payoff at expiry:
\[ Payoff=\max(0,S_T-K) \]Long put payoff at expiry:
\[ Payoff=\max(0,K-S_T) \]Covered call position:
\[ Long\ Stock+Short\ Call \]Protective put position:
\[ Long\ Stock+Long\ Put \]| Market view | Possible strategy | Result |
|---|---|---|
| Bullish | Long call or long asset | Upside participation |
| Bearish | Long put or reduce exposure | Downside participation/protection |
| Neutral to mildly bullish | Covered call | Income, capped upside |
| Wants downside floor and accepts capped upside | Collar | Defined risk range |
| Wants temporary beta reduction | Short index futures or buy puts | Hedge market exposure |
| Wants foreign currency certainty | Forward currency hedge | Locks exchange rate |
Derivatives and Hedging
Derivatives may be used to hedge, equitize cash, adjust duration, manage currency exposure, or create option-based payoff profiles. The exam may test whether the derivative use is consistent with the client mandate.
Derivative Use Cases
| Instrument | Common Use | Key Risk |
|---|---|---|
| Futures | Hedge market exposure, adjust beta, equitize cash | Basis risk, margin, contract mismatch |
| Forwards | Currency or customized exposure hedge | Counterparty risk, liquidity |
| Options | Downside protection, income generation, asymmetric exposure | Premium cost, complexity |
| Swaps | Exchange cash flow exposures | Counterparty and valuation risk |
Option Strategy Review
| Strategy | Position | Objective | Trade-Off |
|---|---|---|---|
| Protective put | Long asset + long put | Downside protection | Pay option premium |
| Covered call | Long asset + short call | Generate income | Cap upside |
| Collar | Long asset + long put + short call | Reduce downside with lower net cost | Limit upside |
| Long call | Right to buy | Upside exposure with limited loss | Premium can expire worthless |
| Long put | Right to sell | Hedge or profit from decline | Premium cost |
| Short option | Obligation if exercised | Earn premium | Potentially large risk |
Hedge Ratio Reminder
A simple equity futures hedge often depends on portfolio value, beta, futures price, and contract multiplier.
Number of contracts is commonly estimated as:
\[ N \approx \frac{\text{Portfolio value} \times \beta}{\text{Futures price} \times \text{Contract multiplier}} \]Adjust the direction based on the objective:
- Reduce equity exposure: short futures.
- Increase or equitize exposure: long futures.
- Hedge currency receivable: sell the foreign currency forward.
- Hedge currency payable: buy the foreign currency forward.
Trap: A perfect hedge is rare. Basis risk, beta mismatch, timing mismatch, currency mismatch, liquidity, and transaction costs can cause hedge results to differ from expectations.
Active vs Passive Decision Rules
| Factor | Passive favored | Active favored |
|---|---|---|
| Market efficiency | Highly efficient, liquid market | Less efficient or poorly covered market |
| Cost sensitivity | Very important | Alpha potential may justify fees |
| Tracking tolerance | Low tracking error desired | Tracking error acceptable |
| Tax sensitivity | Low turnover preferred | Active tax management possible if mandate supports it |
| Manager skill evidence | Not compelling | Repeatable process and risk controls |
| Client objective | Market exposure | Outperformance, downside control, ESG/ethical screen, income focus |
Alternative Investments in Portfolio Construction
| Asset class | Potential role | Key risks |
|---|---|---|
| Real estate | Income, inflation sensitivity, diversification | Illiquidity, valuation, leverage, property concentration |
| Infrastructure | Long-term cash flows, inflation linkage | Regulatory, political, liquidity, project risk |
| Commodities | Inflation hedge, crisis diversification | No inherent income, volatility, roll yield |
| Hedge funds | Absolute return, lower correlation, specialized strategies | Complexity, leverage, liquidity, manager risk |
| Private equity | Long-term capital growth | Illiquidity, valuation uncertainty, vintage-year risk |
| Private debt | Income and credit premium | Credit, liquidity, covenant, valuation risk |
Notes and examples
Alternative Investments
Alternatives are often tested through risk, liquidity, valuation, diversification, and suitability.
| Alternative | Potential Role | Key Risks and Traps |
|---|---|---|
| Real estate / REITs | Income, inflation sensitivity, diversification | Leverage, liquidity, property cycle risk |
| Infrastructure | Long-term cash flows, inflation linkage | Regulatory, political, valuation, liquidity risk |
| Private equity | Growth and illiquidity premium | Long lockups, valuation lag, high dispersion |
| Private debt | Income and spread | Credit, liquidity, covenant risk |
| Hedge funds | Absolute return or lower correlation strategies | Fees, leverage, transparency, manager risk |
| Commodities | Inflation hedge, crisis diversification | No cash flow, volatility, roll yield |
| Structured products | Customized payoff | Complexity, issuer risk, liquidity |
Decision rule: Alternatives may improve diversification, but suitability depends on liquidity needs, time horizon, complexity tolerance, valuation transparency, fees, and IPS constraints.
Tax-Aware Portfolio Logic
| Return type or action | Portfolio implication |
|---|---|
| Interest income | Often less tax-efficient in taxable accounts than capital gains-oriented strategies |
| Dividends | Tax treatment depends on type and investor situation |
| Capital gains | Timing of realization can matter |
| High turnover | Can increase taxable distributions and transaction costs |
| Tax-loss selling | Can improve after-tax results if executed within applicable rules |
| Asset location | Place less tax-efficient assets in more tax-sheltered accounts when suitable |
| After-tax return | More relevant than pre-tax return for taxable investors |
Notes and examples
Tax-Aware Portfolio Management
PMT questions may test whether you think in after-tax terms when the client is taxable.
| Concept | Review Point |
|---|---|
| After-tax return | What the client keeps matters more than pre-tax return |
| Asset location | Place tax-inefficient assets where they are most appropriate, subject to client facts |
| Turnover | High turnover can increase realized taxable gains and costs |
| Tax-loss harvesting | Realize losses where appropriate to offset gains, subject to applicable rules |
| Income type | Interest, dividends, and capital gains may be taxed differently depending on jurisdiction and account type |
| Unrealized gains | Selling legacy holdings may trigger tax costs |
| Registered/tax-advantaged accounts | Consider account rules and suitability without assuming facts not provided |
Decision rule: If the question says “taxable investor,” “after-tax return,” “large embedded gain,” or “high turnover,” taxes are probably central to the answer.
Behavioural Finance Traps
| Bias | Type | Portfolio effect | Mitigation |
|---|---|---|---|
| Loss aversion | Emotional | Holds losers too long or avoids suitable risk | Predefined rebalancing and IPS discipline |
| Overconfidence | Emotional/cognitive | Excess trading, concentrated bets | Position limits and performance attribution |
| Anchoring | Cognitive | Fixates on purchase price or old forecast | Use current fundamentals |
| Confirmation bias | Cognitive | Seeks only supportive evidence | Formal challenge process |
| Recency bias | Cognitive | Extrapolates recent performance | Long-term capital market assumptions |
| Herding | Emotional/social | Buys crowded themes late | Independent valuation and risk review |
| Mental accounting | Cognitive | Treats money differently by source/account | Total portfolio view |
| Status quo bias | Emotional | Fails to rebalance or update IPS | Scheduled review cycle |
Notes and examples
Behavioural Finance Cheat Sheet
| Bias | Description | Portfolio Risk |
|---|---|---|
| Loss aversion | Losses feel worse than equivalent gains | Selling risky assets after declines |
| Overconfidence | Overestimating skill or information | Excessive trading, concentration |
| Anchoring | Relying too heavily on initial value | Refusing to sell below purchase price |
| Confirmation bias | Seeking confirming evidence only | Ignoring contrary data |
| Recency bias | Overweighting recent events | Chasing performance |
| Herding | Following the crowd | Buying bubbles, selling panics |
| Mental accounting | Treating money differently by bucket | Inefficient total portfolio |
| Framing | Decisions change based on presentation | Inconsistent risk choices |
| Status quo bias | Preference for current holdings | Failure to rebalance or diversify |
| Endowment effect | Overvaluing what one owns | Holding unsuitable legacy assets |
Exam trap: The remedy may be education, reframing, IPS discipline, automatic rebalancing, diversification rules, or decision checklists — not simply “tell the client the bias is wrong.”
Benchmark and Attribution Reference
| Benchmark quality | Requirement |
|---|---|
| Appropriate | Matches mandate and asset class |
| Investable | Represents securities or exposures that could be held |
| Measurable | Return can be calculated reliably |
| Unambiguous | Constituents and rules are clear |
| Specified in advance | Not chosen after results are known |
| Reflective of manager style | Avoids unfair style mismatch |
| Attribution item | What it explains |
|---|---|
| Allocation effect | Value added by overweighting or underweighting segments |
| Selection effect | Value added by securities chosen within segments |
| Interaction effect | Combined effect of allocation and selection decisions |
| Currency effect | Impact of exchange-rate movements |
| Yield-curve effect | Fixed income return from curve shifts |
| Credit effect | Fixed income return from spread or credit quality changes |
| Duration effect | Fixed income return from interest-rate sensitivity |
Scenario Decision Shortcuts
| Scenario clue | Likely decision |
|---|---|
| Client needs a known amount at a known date | Liability matching, immunization, or bullet structure |
| Client has low risk ability but high return desire | Do not simply increase risky assets; address feasibility |
| Portfolio has high unsystematic risk | Diversify or reduce concentration |
| Manager is judged against benchmark | Use active return, tracking error, information ratio, attribution |
| Portfolio is not diversified | Sharpe ratio is more relevant than Treynor ratio |
| Portfolio is well diversified | Treynor ratio and beta-based analysis can be useful |
| Interest rates expected to rise | Shorten duration, all else equal |
| Interest rates expected to fall | Lengthen duration, all else equal |
| Yield curve expected to steepen | Position based on relative short/long maturity impact |
| Taxable investor with high turnover strategy | Evaluate after-tax return and trading cost |
| Needs equity downside protection | Protective put, collar, or lower equity allocation |
| Wants income and accepts capped upside | Covered call |
| Wants market exposure with low cost | Passive index strategy |
| Wants benchmark-relative alpha | Active or enhanced indexing with tracking-risk control |
Common PMT Exam Traps
- Confusing risk tolerance with risk capacity. Capacity can be low even when willingness is high.
- Recommending the highest expected return without checking liquidity, tax, time horizon, and constraints.
- Using standard deviation when the question asks for benchmark-relative risk; use tracking error.
- Using Treynor for a poorly diversified portfolio; beta ignores unsystematic risk.
- Treating duration as maturity. Duration is sensitivity and weighted timing of cash flows.
- Forgetting that bond prices and yields move in opposite directions.
- Assuming a hedge eliminates all risk. Basis risk, counterparty risk, liquidity risk, and implementation risk can remain.
- Choosing active management without identifying why alpha is plausible after costs.
- Evaluating a manager using money-weighted return when cash flows were client-directed.
- Comparing portfolios on pre-tax returns when the investor is taxable.
- Ignoring IPS rebalancing rules during market stress.
- Treating alternative investments as automatically diversifying; correlation can rise in stressed markets.
Final Review Checklist
Before answering a PMT scenario, identify:
- Client objective: growth, income, preservation, liability funding, after-tax return, or benchmark-relative return.
- Constraint that dominates: liquidity, time horizon, tax, legal, unique, or risk capacity.
- Correct risk measure: standard deviation, beta, duration, tracking error, downside risk, or shortfall risk.
- Correct return measure: time-weighted, money-weighted, arithmetic, geometric, pre-tax, or after-tax.
- Correct implementation tool: asset allocation, security selection, duration adjustment, derivative hedge, rebalancing, or benchmark change.
- Trade-off created by the recommendation: cost, liquidity, tracking error, tax impact, capped upside, leverage, or model risk.
PMT Cheat Sheet
This independent quick review is for candidates preparing for the Canadian Securities Institute CSI Portfolio Management Techniques (PMT®) exam, code PMT. Use it as a fast final review before moving into topic drills, mock exams, original practice questions, and detailed explanations.
The exam rewards candidates who can connect portfolio theory to practical portfolio decisions: client objectives, constraints, risk measurement, asset allocation, portfolio construction, implementation, monitoring, and performance evaluation.
High-Yield Exam Mindset
For most PMT-style questions, ask:
- Who is the client? Individual, pension, foundation, corporation, trust, or other institutional investor.
- What is the objective? Return requirement, risk tolerance, income need, capital preservation, growth, liability matching, tax efficiency.
- What are the constraints? Time horizon, liquidity, tax, legal/regulatory, unique circumstances, ethical restrictions, currency, concentration, ESG or mandate limits.
- What is the portfolio decision? Strategic asset allocation, tactical shift, security selection, hedging, rebalancing, manager selection, benchmark choice.
- What metric answers the question? Standard deviation, beta, duration, Sharpe ratio, Treynor ratio, tracking error, information ratio, attribution, after-tax return.
- What is the trap? Confusing risk measures, ignoring constraints, using the wrong benchmark, mixing nominal and real returns, or choosing a technically correct answer that violates the IPS.
Portfolio Management Workflow
flowchart TD
A[Define client situation] --> B[Create or update IPS]
B --> C[Set objectives and constraints]
C --> D[Choose strategic asset allocation]
D --> E[Select implementation approach]
E --> F[Monitor portfolio, client, markets]
F --> G[Measure performance and risk]
G --> H[Rebalance or revise strategy]
H --> B
Core PMT Topic Map
| Topic | What to Know Cold | Common Exam Trap |
|---|---|---|
| Investment Policy Statement | Objectives, constraints, risk tolerance, return need, time horizon, liquidity, taxes, legal, unique factors | Treating the IPS as static when client facts change |
| Risk and return | Expected return, variance, standard deviation, correlation, beta, downside risk | Confusing total risk with systematic risk |
| Asset allocation | Strategic vs tactical allocation, diversification, rebalancing, efficient frontier | Overweighting security selection versus allocation |
| Modern portfolio theory | Efficient portfolios, correlation benefits, market portfolio, CAPM | Assuming diversification removes all risk |
| Client constraints | Liquidity, time horizon, tax, legal/regulatory, unique circumstances | Ignoring a constraint because the return looks attractive |
| Fixed income | Duration, convexity, yield curve, credit risk, immunization, ladder/barbell/bullet | Reversing the rate-duration relationship |
| Equities | Growth/value, active/passive, factors, sector and style exposure | Choosing a style inconsistent with the mandate |
| Alternatives | Liquidity, valuation, leverage, correlation, fees, transparency | Assuming low reported volatility means low risk |
| Derivatives | Hedging, options payoff logic, futures exposure, covered calls, protective puts | Treating derivatives as speculative only |
| Performance evaluation | TWRR vs MWRR, benchmarks, Sharpe, Treynor, Jensen’s alpha, information ratio | Using the wrong performance measure for the decision |
| Attribution | Allocation effect, selection effect, interaction effect | Calling all outperformance “security selection” |
| Behavioural finance | Biases, framing, loss aversion, overconfidence, anchoring | Recommending education only when process controls are needed |
Investment Policy Statement Essentials
The IPS is the bridge between client facts and portfolio decisions. In exam questions, the best answer usually aligns with the IPS even if another answer has a higher expected return.
Objectives vs Constraints
| IPS Element | Review Point | Exam Clue |
|---|---|---|
| Return objective | Required return to meet goals; can be absolute or relative | Retirement income, spending policy, liability funding, inflation protection |
| Risk objective | Ability and willingness to take risk | Job stability, wealth level, liabilities, emotional tolerance, shortfall risk |
| Time horizon | Single-stage or multi-stage | Working years, retirement, education funding, endowment perpetuity |
| Liquidity | Cash needs, spending, emergencies, distributions | Upcoming purchase, annual withdrawals, debt payments |
| Tax situation | Taxable status, account type, after-tax return focus | High marginal tax rate, tax-exempt entity, realized gains, income preference |
| Legal/regulatory | Governing documents, mandate rules, fiduciary duties | Trust deed, pension rules, investment restrictions |
| Unique circumstances | Special restrictions or preferences | Concentrated employer stock, ethical screens, legacy holdings, currency needs |
Notes and examples
Ability vs Willingness to Take Risk
| Situation | Likely Interpretation |
|---|---|
| High wealth, stable income, long horizon | High ability to take risk |
| Short horizon, low wealth, high liquidity need | Low ability to take risk |
| Client panics during volatility | Low willingness to take risk |
| Client wants aggressive returns but cannot afford losses | Ability usually constrains the portfolio |
| Client can afford risk but is very conservative | Willingness may constrain the portfolio unless education changes it |
Decision rule: When ability and willingness conflict, the prudent portfolio normally reflects the lower effective risk tolerance unless the question gives a reason to educate the client and adjust expectations.
Client Type Cheat Sheet
| Client Type | Typical Objective | Key Constraints | High-Yield Notes |
|---|---|---|---|
| Young individual | Growth, wealth accumulation | Long horizon, human capital risk, limited liquidity | Can often tolerate more volatility, but job risk matters |
| Retiree | Income, preservation, inflation protection | Liquidity, shorter horizon, tax, longevity risk | Avoid excessive volatility and sequence-of-returns risk |
| High-net-worth client | After-tax total return, estate goals | Tax, unique preferences, concentration risk | Asset location and tax efficiency may matter |
| Defined benefit pension | Fund liabilities | Legal, actuarial assumptions, funded status | Liability-driven investing and duration matching are key |
| Foundation/endowment | Perpetual support of spending | Spending policy, inflation, legal/mandate rules | Balance current spending and real capital preservation |
| Insurance company | Match liabilities and reserves | Regulatory, liquidity, duration, credit quality | Asset-liability matching is central |
| Corporation | Liquidity, capital preservation, return on surplus cash | Operating cash needs, short horizon | Cash flow timing often dominates return |
Required Return: Practical Exam Approach
A required return question often has hidden cash flow and inflation assumptions. Read carefully.
Common Required Return Steps
- Identify current portfolio value.
- Identify cash inflows or outflows.
- Determine whether return is nominal or real.
- Adjust for inflation if required.
- Use after-tax amounts if the question asks for after-tax return.
- Compare required return to risk tolerance.
Trap: A client may require a high return mathematically, but if risk tolerance is low, the correct recommendation may be to adjust goals, spending, retirement date, savings, or constraints rather than simply build a high-risk portfolio.
Modern Portfolio Theory and Efficient Frontier
Concepts to Review
| Concept | Meaning | Exam Application |
|---|---|---|
| Efficient frontier | Portfolios with highest expected return for each risk level | Choose efficient portfolios, not dominated portfolios |
| Diversification | Combining assets to reduce unsystematic risk | Works best when correlations are low or imperfect |
| Systematic risk | Market-wide risk | Cannot be diversified away |
| Unsystematic risk | Security-specific risk | Can be reduced through diversification |
| Capital market line | Efficient portfolios combining risk-free asset and market portfolio | Uses total risk/standard deviation |
| Security market line | CAPM relationship between expected return and beta | Uses systematic risk/beta |
| Market portfolio | Portfolio of risky assets in CAPM theory | Benchmark for systematic risk pricing |
Notes and examples
CML vs SML
| Feature | Capital Market Line | Security Market Line |
|---|---|---|
| Risk measure | Standard deviation | Beta |
| Applies to | Efficient portfolios | Individual securities and portfolios |
| Slope | Market price of total risk | Market risk premium |
| Key use | Portfolio efficiency | Expected return under CAPM |
Trap: If the question involves a well-diversified portfolio and market sensitivity, beta may be appropriate. If the question evaluates total portfolio volatility or Sharpe ratio, use standard deviation.
Currency Management
Currency exposure matters when assets, liabilities, spending, or reporting currency differ.
| Choice | When It May Fit | Main Trade-Off |
|---|---|---|
| Fully hedge currency | Liability or spending is in home currency; low tolerance for FX volatility | May give up currency diversification or upside |
| Partially hedge | Balance volatility control and diversification | Requires policy and monitoring |
| Unhedged | Long horizon, desire for diversification, acceptable FX volatility | Currency can dominate short-term returns |
| Dynamic hedge | Adjust hedge ratio based on conditions | Forecast and implementation risk |
Trap: The correct currency policy depends on the client’s base currency, liabilities, time horizon, and risk tolerance — not simply on a forecast that a currency may rise or fall.
Performance Measurement
TWRR vs MWRR
| Measure | Best For | Why |
|---|---|---|
| Time-weighted rate of return | Evaluating manager skill | Removes impact of external cash flows |
| Money-weighted rate of return | Evaluating investor experience | Reflects timing and size of client cash flows |
Notes and examples
Trap: If cash flows are controlled by the client, use time-weighted return to evaluate the manager. If the question asks what the investor actually earned on invested money, money-weighted return may be relevant.
Risk-Adjusted Performance Metrics
| Metric | Plain Formula | Best Use | Trap |
|---|---|---|---|
| Sharpe ratio | (Portfolio return - risk-free rate) / standard deviation | Total risk-adjusted performance | Best for diversified total portfolios |
| Treynor ratio | (Portfolio return - risk-free rate) / beta | Systematic risk-adjusted performance | Requires meaningful beta |
| Jensen’s alpha | Actual return - CAPM required return | Value added versus CAPM expectation | Depends on beta and benchmark assumptions |
| Information ratio | Active return / tracking error | Active manager skill versus benchmark | Requires appropriate benchmark |
| Sortino ratio | Excess return / downside deviation | Downside-risk focus | Target return must be defined |
Benchmark Quality
A good benchmark should generally be:
- Specified in advance
- Investable or replicable
- Measurable
- Appropriate to the mandate
- Unambiguous
- Reflective of manager style and opportunity set
Trap: Comparing a Canadian balanced manager to a pure equity index, or a value manager to a broad growth-heavy index, can produce misleading conclusions.
Performance Attribution
Attribution explains why performance differed from the benchmark.
| Effect | Meaning | Example |
|---|---|---|
| Allocation effect | Value added by overweighting or underweighting asset classes/sectors | Overweighting technology when technology outperforms |
| Selection effect | Value added by choosing better securities within a category | Picking stocks that outperform their sector |
| Interaction effect | Combined effect of allocation and selection | Overweighting a sector and also selecting strong securities within it |
Decision rule: First identify whether the manager’s active decision was about where to allocate or what to select. Then match the attribution effect.
Manager Selection and Monitoring
| Area | What to Review |
|---|---|
| Investment philosophy | Is the process coherent, repeatable, and aligned with mandate? |
| People | Stability, experience, decision rights, succession risk |
| Process | Security selection, portfolio construction, risk controls |
| Performance | Risk-adjusted, benchmark-relative, peer-relative, cycle-aware |
| Portfolio characteristics | Style, concentration, turnover, liquidity, factor exposure |
| Fees and costs | Impact on net return |
| Operational risk | Compliance, valuation, reporting, controls |
| Style drift | Whether the manager remains consistent with stated mandate |
Trap: Do not hire or retain a manager based only on recent performance. Look for process, risk, consistency, and mandate fit.
Ethics, Suitability, and Professional Judgment
For the Canadian Securities Institute CSI Portfolio Management Techniques (PMT®) exam, professional judgment questions often come down to putting the client’s objectives, constraints, disclosure, and suitability ahead of return chasing.
Practical Rules
- Recommend only strategies consistent with client facts and the IPS.
- Identify and manage conflicts of interest.
- Use reasonable assumptions and explain limitations.
- Do not ignore liquidity, tax, or legal constraints.
- Do not present forecasts as guarantees.
- Consider costs, risks, and implementation practicality.
- Document major decisions and rationale.
- Revisit the IPS when client circumstances materially change.
Calculation and Decision Checklist
| If the Question Asks About… | Use This Concept | Watch For |
|---|---|---|
| Portfolio expected return | Weighted average return | Weights must sum correctly |
| Portfolio risk with two assets | Variance using weights, volatilities, correlation | Correlation drives diversification benefit |
| Market sensitivity | Beta | Total risk may still be high |
| CAPM required return | Risk-free rate + beta × market risk premium | Use market premium, not market return alone |
| Active manager skill | Alpha or information ratio | Benchmark must be appropriate |
| Total risk-adjusted return | Sharpe ratio | Uses standard deviation |
| Systematic risk-adjusted return | Treynor ratio | Uses beta |
| Bond price sensitivity | Duration and convexity | Price falls when yields rise |
| Liability matching | Duration matching or cash-flow matching | Rebalancing may be required |
| Client return need | Required return calculation | Nominal vs real; pre-tax vs after-tax |
| Cash flow timing impact | MWRR versus TWRR | Manager control vs client control |
| Benchmark-relative risk | Tracking error | Low tracking error is not necessarily low absolute risk |
| Hedging equity exposure | Futures hedge logic | Contract size, beta, and hedge direction |
Common Candidate Mistakes
- Choosing the highest-return answer without checking suitability.
- Confusing willingness to take risk with ability to take risk.
- Using standard deviation when the question points to beta, or beta when total risk matters.
- Ignoring liquidity needs in retirement, foundation spending, or liability-driven cases.
- Forgetting that duration is a price sensitivity measure, not just “time to maturity.”
- Assuming alternatives are automatically low risk because they have low correlation.
- Using the wrong benchmark for performance evaluation.
- Treating tax as irrelevant for a taxable client.
- Assuming a hedge eliminates all risk.
- Calling recent outperformance skill without considering style, factor exposure, or benchmark mismatch.
- Failing to distinguish strategic asset allocation from tactical tilts.
- Overlooking embedded gains, concentrated positions, or unique constraints.
- Ignoring inflation when the question asks for real purchasing power.
- Assuming the IPS never changes.
- Answering from market opinion rather than the facts given in the case.
Fast Review: “Best Answer” Decision Rules
IPS and Suitability
- If a strategy violates a stated constraint, it is usually wrong.
- If required return is unrealistic, adjust goals rather than automatically increasing risk.
- If a client has low liquidity tolerance, avoid illiquid alternatives even if expected return is attractive.
- If the client has short horizon and high cash need, capital preservation usually dominates.
Notes and examples
Risk Metrics
- Use standard deviation for total volatility.
- Use beta for market/systematic risk.
- Use tracking error for benchmark-relative active risk.
- Use duration for bond interest rate sensitivity.
- Use downside deviation when the concern is losses below a threshold.
Performance
- Use TWRR to evaluate the manager.
- Use MWRR to evaluate the investor’s actual experience.
- Use Sharpe for total portfolio risk-adjusted return.
- Use information ratio for active return per unit of active risk.
- Use attribution to separate allocation decisions from selection decisions.
Fixed Income
- Rates up, bond prices down.
- Longer duration means greater sensitivity.
- Callable bonds may have negative convexity.
- Immunization requires monitoring and rebalancing.
- Higher yield usually comes with higher or different risk.
Derivatives
- Protective put = downside protection with premium cost.
- Covered call = income now, upside capped.
- Short futures = reduce exposure.
- Long futures = increase exposure.
- Currency hedge direction depends on whether the client will receive or pay the foreign currency.
Mini Self-Check Before Practice
Can you answer these without notes?
- What are the two parts of risk tolerance?
- Which IPS constraints are most likely to override a high-return recommendation?
- When should a manager be evaluated using TWRR instead of MWRR?
- What is the difference between Sharpe ratio and Treynor ratio?
- Why can a low-correlation alternative still be unsuitable?
- How does a rise in interest rates affect a long-duration bond portfolio?
- What does convexity add beyond duration?
- What makes a benchmark appropriate?
- What is the difference between allocation effect and selection effect?
- When is a protective put preferable to a stop-loss-style approach?
- Why might a client with high wealth still have low risk tolerance?
- How can tax considerations change the preferred portfolio strategy?
- What is style drift, and why does it matter?
- Why does diversification reduce unsystematic but not systematic risk?
- What changes would require updating the IPS?