IMT Exam 1 — CSI Investment Management Techniques Cheat Sheet

Use the tables for a quick pre-exam check. Expand a topic’s notes for explanations, examples, and additional distinctions.

Scope and study context

For CSI Investment Management Techniques (IMT®) Exam 1 preparation, do not only read explanations after wrong answers. Use original practice questions to diagnose why you missed the question.

If You Missed Because Of…	Fix With…
Formula recall	Write the formula, define each input, redo similar calculations
Misread wording	Underline the command word and constraint
Concept confusion	Compare similar terms side by side
Poor elimination	Identify why each wrong option is wrong
Time pressure	Use timed topic drills
Weak integration	Use mixed mock exams
False confidence	Redo questions after several days

High-Yield Exam 1 Map

Investment Management Process

Notes and examples

Core Investment Management Process

Step	What It Means	Exam Trap
Define objectives	Return needs, risk tolerance, income, growth, preservation	Choosing high-return assets without matching risk capacity
Identify constraints	Time horizon, liquidity, taxes, legal/regulatory, unique circumstances	Treating all clients with the same IPS
Set policy	Strategic asset allocation, benchmarks, allowable ranges	Confusing policy with short-term market timing
Implement	Select securities, funds, managers, or strategies	Ignoring costs, taxes, liquidity, or mandate fit
Monitor and rebalance	Compare to IPS and benchmark; adjust when needed	Rebalancing because of emotion rather than policy
Evaluate performance	Risk-adjusted results and attribution	Looking only at total return

Decision Rule: IPS First

If a question gives a client profile, start with the investment policy statement logic:

1. What is the required return?
2. What is the client’s willingness and ability to take risk?
3. What is the time horizon?
4. Are there liquidity, tax, legal, or unique constraints?
5. What asset mix best fits the above?

Do not jump directly to the investment with the highest expected return.

IPS Objectives and Constraints

Notes and examples

Objectives and Constraints

IPS Component	Key Review Point	Common Candidate Mistake
Return objective	Required return may be income, growth, or total return	Assuming every client wants maximum growth
Risk tolerance	Includes willingness and ability	Ignoring ability to take risk when willingness is high
Time horizon	Longer horizons generally support more risk capacity	Treating retirement as a single-date horizon only
Liquidity	Cash needs reduce ability to hold volatile/illiquid assets	Recommending illiquid assets for near-term cash needs
Taxes	After-tax return matters for taxable investors	Comparing investments only on pre-tax return
Legal/regulatory	Mandates may restrict eligible investments	Ignoring trust, plan, or policy restrictions
Unique circumstances	ESG preferences, concentrated holdings, currency exposure, legacy goals	Treating unique constraints as optional

Return Formula Sheet

Holding Period Return

\[ R = \frac{P_1 - P_0 + I}{P_0} \]

Where \(P_0\) is beginning price, \(P_1\) is ending price, and \(I\) is income received.

Arithmetic Mean

\[ \bar{R} = \frac{R_1 + R_2 + \cdots + R_n}{n} \]

Use for expected single-period return when each period is equally likely.

Geometric Mean

\[ R_G = \left[(1+R_1)(1+R_2)\cdots(1+R_n)\right]^{1/n} - 1 \]

Use for compound multi-period performance.

Annualized Return

\[ R_{\text{annual}} = (1+R_{\text{period}})^m - 1 \]

Where \(m\) is the number of periods per year.

Real Return Approximation

\[ R_{\text{real}} \approx R_{\text{nominal}} - \text{inflation} \]

Exact Real Return

\[ R_{\text{real}} = \frac{1+R_{\text{nominal}}}{1+\text{inflation}} - 1 \]

Notes and examples

Real Return Approximation

\[ \text{Real Return} \approx \text{Nominal Return} - \text{Inflation Rate} \]

More exact formula:

\[ 1 + R_{\text{real}} = \frac{1 + R_{\text{nominal}}}{1 + \text{Inflation}} \]

Inflation Review

Asset/Strategy	Inflation Consideration
Cash	Purchasing power erosion if yield is below inflation
Nominal bonds	Fixed payments lose real value when inflation rises
Real return bonds	Designed to provide inflation-linked payments
Equities	May hedge inflation over long periods, but not reliably short term
Real assets	May offer inflation sensitivity, but valuation and liquidity matter

Formula Quick Sheet

Concept	Formula in Plain Text
Holding period return	(Ending value - Beginning value + Income) / Beginning value
Expected portfolio return	Sum of weight × expected return
Two-asset portfolio variance	wA²σA² + wB²σB² + 2wAwBσAσBρAB
CAPM	Risk-free rate + beta × market risk premium
Sharpe ratio	(Portfolio return - risk-free rate) / standard deviation
Treynor ratio	(Portfolio return - risk-free rate) / beta
Information ratio	Active return / tracking error
Approximate bond price change	-Modified duration × change in yield
Constant-growth DDM	Next dividend / (required return - growth rate)
Approximate real return	Nominal return - inflation

Risk Formula Sheet

Variance and Standard Deviation

\[ \sigma^2 = \frac{\sum (R_i - \bar{R})^2}{n} \]\[ \sigma = \sqrt{\sigma^2} \]

Standard deviation measures total volatility around the mean.

Annualized Standard Deviation

\[ \sigma_{\text{annual}} = \sigma_{\text{period}} \sqrt{m} \]

Use only when periodic returns are assumed independent and similarly distributed.

Coefficient of Variation

\[ CV = \frac{\sigma}{E(R)} \]

Lower CV means less risk per unit of expected return.

Covariance and Correlation

\[ \rho_{A,B} = \frac{\text{Cov}_{A,B}}{\sigma_A \sigma_B} \]

Correlation ranges from \(-1\) to \(+1\).

Two-Asset Portfolio Return

\[ E(R_p) = w_A E(R_A) + w_B E(R_B) \]

Two-Asset Portfolio Risk

\[ \sigma_p^2 = w_A^2\sigma_A^2 + w_B^2\sigma_B^2 + 2w_Aw_B\rho_{A,B}\sigma_A\sigma_B \]

Beta

\[ \beta_i = \frac{\text{Cov}_{i,m}}{\sigma_m^2} \]

Beta measures sensitivity to market movements, not total risk.

Notes and examples

CAPM Formula

\[ E(R_i) = R_f + \beta_i[E(R_m) - R_f] \]

Where:

• \(E(R_i)\) = required or expected return on security \(i\)
• \(R_f\) = risk-free rate
• \(\beta_i\) = beta of the security
• \(E(R_m) - R_f\) = market risk premium

Beta Interpretation

Beta	Interpretation
1.0	Moves with the market on average
Greater than 1.0	More sensitive than market
Less than 1.0 but positive	Less sensitive than market
0	No market sensitivity in CAPM terms
Negative	Tends to move opposite the market

CAPM Decision Rule

Compare the security’s expected return with its CAPM required return:

Situation	Interpretation
Expected return > CAPM required return	Potentially undervalued / positive alpha
Expected return = CAPM required return	Fairly priced under CAPM assumptions
Expected return < CAPM required return	Potentially overvalued / negative alpha

CAPM, Alpha, and Security Market Line

CAPM Expected Return

\[ E(R_i) = R_f + \beta_i [E(R_m)-R_f] \]

Alpha

\[ \alpha_i = R_i - [R_f + \beta_i(R_m - R_f)] \]

SML Decision Rule

Risk Measures: Match the Measure to the Question

Notes and examples

Risk Measures

Measure	What It Captures	Best Use	Trap
Standard deviation	Total volatility	Standalone total risk	Does not separate upside and downside volatility
Variance	Squared dispersion	Statistical foundation	Less intuitive than standard deviation
Beta	Sensitivity to market movements	Systematic risk	Only meaningful relative to a chosen market benchmark
Correlation	Direction and strength of co-movement	Diversification analysis	Low correlation is not the same as low risk
Covariance	Joint movement in return units	Portfolio risk calculations	Harder to interpret directly
Tracking error	Active return volatility vs benchmark	Active management risk	Not the same as underperformance
Downside risk	Loss-focused volatility	Risk-averse investor analysis	Requires a defined threshold
Value at Risk	Estimated potential loss over period/confidence	Risk control and reporting	Does not describe losses beyond the VaR threshold

Time-Weighted vs Money-Weighted Return

TWR Chain-Linking

\[ TWR = [(1+R_1)(1+R_2)\cdots(1+R_n)] - 1 \]

Money-Weighted Return Concept

MWR is the discount rate that equates the present value of cash inflows and outflows with ending value. In exam scenarios, choose MWR when the question emphasizes the investor’s actual dollar-weighted result.

Portfolio Theory Cheat Sheet

Notes and examples

High-Yield Concepts

Concept	Meaning	Exam Angle
Unsystematic risk	Company/industry-specific risk	Can be reduced through diversification
Systematic risk	Market-wide risk	Cannot be diversified away
Efficient frontier	Best expected return for a given risk level	Portfolios below frontier are inefficient
Minimum variance portfolio	Lowest-risk portfolio on the opportunity set	Not necessarily the best portfolio for every investor
Risk-free asset	Theoretical asset with no volatility/default risk in model	Used in capital allocation theory
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

Exam Trap: CML vs SML

Feature	Capital Market Line	Security Market Line
Risk measure	Standard deviation	Beta
Applies to	Efficient portfolios	Individual securities and portfolios
Key model	Capital allocation	CAPM
Main use	Risk-return trade-off for efficient portfolios	Fair expected return based on systematic risk

CML vs SML

Asset Allocation Decision Matrix

Notes and examples

Strategic vs Tactical

Type	Meaning	Exam Signal
Strategic asset allocation	Long-term policy mix based on objectives and constraints	IPS, target weights, long-term plan
Tactical asset allocation	Short-term deviations from strategic weights	Market outlook, valuation views
Dynamic allocation	Systematic changes as conditions or client status changes	Rules-based adjustments
Rebalancing	Restoring weights to policy targets or ranges	Discipline, risk control

Asset Allocation Decision Rules

Client Situation	Likely Allocation Implication
Long time horizon, high risk capacity	Higher equity/growth allocation may be appropriate
Near-term liquidity need	Higher cash/short-term fixed income allocation
Low risk tolerance and low risk capacity	More conservative allocation
Inflation concern	Consider real assets, inflation-sensitive assets, equities, inflation-linked bonds where suitable
Taxable investor	After-tax return and asset location matter
Concentrated employer stock	Diversification may be a priority
Income need	Consider yield, sustainability, credit risk, and interest-rate risk

Rebalancing Rules

Notes and examples

Why Rebalance?

• Maintains the risk profile in the IPS.
• Forces discipline after market movements.
• Prevents winners from dominating the portfolio.
• Can control drift from the strategic asset allocation.

Rebalancing Methods

Method	Description	Pros	Cons
Calendar-based	Rebalance at fixed intervals	Simple, disciplined	May trade unnecessarily
Threshold-based	Rebalance when weights move outside bands	Responsive to market movements	Requires monitoring
Cash-flow rebalancing	Use deposits/withdrawals to adjust weights	Tax- and cost-efficient	May not be enough for large drift
Tactical overlay	Adjust based on market views	Flexible	Can become market timing

Exam Trap

Rebalancing is not automatically about maximizing return. Its primary purpose is usually risk control and policy alignment.

Asset Class Characteristics

Fixed-Income Quick Rules

Notes and examples

Approximate Bond Price Change

\[ \%\Delta P \approx -D_{\text{mod}} \times \Delta y \]

Modified Duration

\[ D_{\text{mod}} = \frac{D_{\text{Mac}}}{1 + y/m} \]

Duration Plus Convexity Approximation

\[ \%\Delta P \approx -D_{\text{mod}}\Delta y + \frac{1}{2}C(\Delta y)^2 \]

Where \(C\) is convexity and \(\Delta y\) is the yield change in decimal form.

Bond Price and Yield Relationship

Change	Bond Price Effect
Market yields rise	Bond prices fall
Market yields fall	Bond prices rise
Longer maturity	Generally more interest-rate sensitivity
Lower coupon	Generally more interest-rate sensitivity
Higher duration	Greater price sensitivity to yield changes

Duration

Duration measures a bond’s sensitivity to interest-rate changes.

Approximate price change:

Where \(D_{\text{mod}}\) is modified duration and \(\Delta y\) is the change in yield.

Example interpretation: if modified duration is 5 and yield rises by 1%, approximate price change is about -5%.

Convexity

Convexity adjusts for the curvature in the bond price-yield relationship.

Concept	Meaning
Positive convexity	Price gains from falling yields are larger than price losses from equal yield increases
Higher convexity	More useful when yield changes are large
Duration alone	Linear approximation; less accurate for large yield changes

Duration and Convexity Trap

Duration is a first approximation. Convexity matters more when:

• Yield changes are large.
• Bonds have embedded options.
• Comparing bonds with similar duration but different curvature.

Fixed Income Risks

Risk	What It Means	Common Trap
Interest-rate risk	Bond price changes when yields change	Highest for long-duration bonds
Reinvestment risk	Coupon/cash flows reinvest at lower rates	More important for high-coupon bonds
Credit/default risk	Issuer may fail to pay	Yield alone does not equal attractiveness
Spread risk	Credit spreads widen	Can hurt even if government yields are stable
Liquidity risk	Hard to sell at fair price	Often rises in stressed markets
Call risk	Issuer redeems bond early	Investor may lose upside when rates fall
Inflation risk	Real purchasing power falls	Fixed coupons are vulnerable

Interest-Rate Risk vs Reinvestment Risk

If Rates Rise	If Rates Fall
Bond prices fall	Bond prices rise
Reinvestment income may improve	Reinvestment income may decline
Long-duration bonds usually hurt more	Callable bonds may be called

Equity Analysis and Valuation

Notes and examples

Dividend Discount Model

\[ P_0 = \frac{D_1}{k - g} \]

Use when dividends are meaningful and expected to grow at a stable rate. \(k\) must be greater than \(g\).

Sustainable Growth Rate

\[ g = ROE \times \text{retention ratio} \]

Common Equity Valuation Approaches

Approach	Main Idea	Best Use	Trap
Dividend discount model	Value equals present value of expected dividends	Dividend-paying firms	Weak for firms with unstable/no dividends
Price/earnings ratio	Price relative to earnings	Comparing similar firms	Low P/E is not automatically cheap
Price/book ratio	Price relative to accounting book value	Financials, asset-heavy firms	Book value may not reflect intangible assets
Price/sales ratio	Price relative to revenue	Early-stage or low-margin firms	Ignores profitability
EV/EBITDA	Enterprise value relative to operating earnings proxy	Capital-structure comparisons	EBITDA is not cash flow
Free cash flow models	Value based on cash available to capital providers	Fundamental valuation	Sensitive to assumptions

Dividend Discount Model

For a constant-growth dividend model:

• \(P_0\) = current intrinsic value
• \(D_1\) = expected dividend next period
• \(k\) = required return
• \(g\) = constant dividend growth rate

Key condition: \(k\) must be greater than \(g\).

Equity Valuation Traps

• A stock with a low P/E may be cheap, distressed, cyclical, or facing declining earnings.
• A high dividend yield may indicate value — or market concern about dividend sustainability.
• Growth increases value only if returns on invested capital exceed the cost of capital.
• Comparing valuation ratios across unrelated industries can mislead.
• Accounting earnings are not the same as cash flow.
• Historical growth does not guarantee future growth.

DuPont Analysis

\[ ROE = \frac{\text{Net income}}{\text{Sales}} \times \frac{\text{Sales}}{\text{Assets}} \times \frac{\text{Assets}}{\text{Equity}} \]

High ROE is strongest when driven by margins and efficiency, not only leverage.

Active, Passive, and Style Distinctions

Top-Down vs Bottom-Up

Economic and Market Indicators

Performance Measurement Ratios

Sharpe Ratio

\[ \text{Sharpe} = \frac{R_p - R_f}{\sigma_p} \]

Uses total risk. Best for portfolios that may not be fully diversified.

Treynor Ratio

\[ \text{Treynor} = \frac{R_p - R_f}{\beta_p} \]

Uses systematic risk. Best when the portfolio is well diversified.

Jensen Alpha

\[ \alpha_p = R_p - [R_f + \beta_p(R_m - R_f)] \]

Measures return above or below CAPM-required return.

Information Ratio

\[ IR = \frac{R_p - R_b}{\text{tracking error}} \]

Measures active return per unit of active risk.

Performance Attribution

Tax-Aware Portfolio Logic

Do not memorize tax rates unless provided in current materials. Focus on after-tax return, account type, and suitability.

Portfolio Suitability Decision Table

Common Exam Traps

Notes and examples

“Higher Return” Is Not Always Better

Higher return may come from:

• More market risk.
• More credit risk.
• More liquidity risk.
• Leverage.
• Concentration.
• Currency exposure.
• Longer duration.
• Style exposure.

Always evaluate return relative to risk, constraints, and benchmark.

“Diversified” Does Not Mean “Risk-Free”

Diversification can reduce unsystematic risk, but it cannot eliminate systematic market risk.

“Low Volatility” Does Not Mean “Suitable”

A low-volatility asset may still be unsuitable if it creates liquidity, tax, inflation, concentration, or currency issues.

“High Yield” Does Not Mean “Attractive”

High yield may compensate for credit risk, illiquidity, call risk, duration risk, or distress.

“Past Performance” Does Not Prove Skill

Look for consistency with process, benchmark, risk exposure, and repeatability.

Calculation Checklist

Before solving, identify:

1. Return type: holding period, arithmetic, geometric, annualized, real, after-tax.
2. Risk type: standard deviation, beta, duration, tracking error, downside risk.
3. Perspective: client actual experience or manager performance.
4. Benchmark: market index, risk-free rate, policy benchmark, liability target.
5. Time period: monthly, quarterly, annual; convert consistently.
6. Weights: ensure portfolio weights sum to 100%.
7. Signs: bond price change is negative when yields rise.
8. Units: basis points vs percentages; 100 bps = 1.00%.
9. Tax/costs: confirm whether returns are gross, net, pre-tax, or after-tax.
10. Decision rule: know what result means, not just the calculation.

Notes and examples

Final Cheat Sheet Checklist

Before your next practice set, confirm you can:

• Explain the difference between total risk and systematic risk.
• Identify when Sharpe, Treynor, Jensen’s alpha, and information ratio are appropriate.
• Calculate and interpret CAPM required return.
• Explain why correlation matters for diversification.
• Distinguish strategic asset allocation from tactical allocation.
• Match client objectives and constraints to suitable portfolio choices.
• Interpret bond duration and convexity.
• Explain how yield changes affect bond prices.
• Identify major fixed income risks.
• Interpret valuation ratios cautiously.
• Recognize benchmark mismatch.
• Explain why time-weighted return is useful for manager evaluation.
• Identify behavioural biases in client scenarios.
• Avoid choosing an answer based only on highest return.

Mini Decision Flow: Performance Question

    flowchart TD
	    A[Performance question] --> B{External cash flows?}
	    B -->|Yes, manager evaluation| C[Use time-weighted return]
	    B -->|Yes, client actual result| D[Use money-weighted return / IRR]
	    B -->|No or already return data| E{Risk-adjusted measure?}
	    E -->|Total risk| F[Sharpe ratio]
	    E -->|Systematic risk / beta| G[Treynor or Jensen alpha]
	    E -->|Benchmark active risk| H[Information ratio]
	    E -->|No| I[Compare raw or benchmark-relative return]

Last-Week Review Priorities

Notes and examples

Day 1: Portfolio Theory and Risk

• Expected return
• Standard deviation, correlation, covariance
• Diversification
• Efficient frontier
• CAPM, beta, CML vs SML

Practice focus: topic drills on risk/return calculations and conceptual interpretation.

Day 2: Asset Allocation and IPS

• Objectives and constraints
• Strategic vs tactical allocation
• Rebalancing
• Suitability decision rules

Practice focus: client-profile questions and IPS scenario drills.

Day 3: Fixed Income

• Price/yield relationship
• Duration and convexity
• Yield curve
• Credit spreads
• Fixed income risks

Practice focus: duration calculations, yield curve interpretation, and bond risk questions.

Day 4: Equity and Valuation

• Dividend discount model
• Valuation ratios
• Growth vs value
• Fundamental analysis traps

Practice focus: valuation interpretation and ratio comparison drills.

Day 5: Performance Evaluation

• Sharpe, Treynor, Jensen’s alpha
• Tracking error and information ratio
• Benchmark selection
• Manager due diligence

Practice focus: risk-adjusted performance questions with detailed explanations.

Day 6: Mixed Mock Exam

• Complete a timed set.
• Review every missed question.
• Tag errors by category: formula, concept, reading, or judgment.

Day 7: Weak-Area Repair

• Redo missed topic drills.
• Rework formulas without looking.
• Review traps and decision rules.
• Keep the final session focused and calm.

CSI IMT Exam 1 Cheat Sheet Focus

This quick review is for candidates preparing for the Canadian Securities Institute CSI Investment Management Techniques (IMT®) Exam 1, official exam code IMT Exam 1. Use it as a fast review before moving into independent companion practice, original practice questions, topic drills, mock exams, and detailed explanations.

The goal is not to replace the CSI materials. The goal is to help you rapidly connect the major ideas: portfolio construction, risk and return, asset allocation, fixed income, equity analysis, performance measurement, and exam-style decision points.

High-Yield Exam Mindset

For IMT Exam 1, expect many questions to test whether you can:

• Choose the right portfolio concept for a client objective or constraint.
• Distinguish risk measures from performance measures.
• Apply formulas correctly without confusing inputs.
• Interpret duration, convexity, beta, correlation, standard deviation, alpha, tracking error, and information ratio.
• Recognize when diversification reduces risk — and when it does not.
• Separate strategic asset allocation from tactical shifts and security selection.
• Understand the effect of interest-rate changes on bond prices.
• Interpret valuation ratios without treating them as absolute answers.
• Avoid “sounds right” answers that ignore assumptions, risk, time horizon, or benchmark relevance.

Return Measures

Holding Period Return

\[ \text{Holding Period Return} = \frac{\text{Ending Value} - \text{Beginning Value} + \text{Income}}{\text{Beginning Value}} \]

Use when measuring the total return over one period.

Arithmetic vs Geometric Return

Time-Weighted vs Money-Weighted Trap

If the question asks about manager skill, prefer time-weighted return.
If the question asks about the client’s actual experienced return, money-weighted return may be more relevant.

Expected Return and Portfolio Risk

Expected Return

\[ E(R_p) = \sum_{i=1}^{n} w_i E(R_i) \]

Where \(w_i\) is the portfolio weight and \(E(R_i)\) is the expected return of asset \(i\).

Two-Asset Portfolio Variance

\[ \sigma_p^2 = w_A^2\sigma_A^2 + w_B^2\sigma_B^2 + 2w_Aw_B\sigma_A\sigma_B\rho_{AB} \]

Key interpretation:

• Lower correlation reduces portfolio risk.
• Negative correlation provides stronger diversification.
• Perfect positive correlation reduces diversification benefit.
• Portfolio expected return is weighted average, but portfolio risk is not simply a weighted average unless correlation is perfect positive.

Correlation Quick Table

Alpha, Active Risk, and Benchmarking

Information Ratio

\[ \text{Information Ratio} = \frac{\text{Portfolio Return} - \text{Benchmark Return}}{\text{Tracking Error}} \]

Use when evaluating active management relative to a benchmark.

Risk-Adjusted Performance Measures

Sharpe vs Treynor Trap

• Use Sharpe when total risk matters or the portfolio is not fully diversified.
• Use Treynor when the portfolio is well diversified and systematic risk is the focus.
• If two portfolios have different diversification levels, Sharpe is often more informative.

Yield Curve and Spread Review

Yield Curve Strategies

Efficient Markets and Active Management

Notes and examples

Active vs Passive Decision Points

Choose More Active When	Choose More Passive When
Market inefficiencies may exist	Market is highly efficient
Skilled manager has repeatable edge	Low cost and benchmark exposure are priorities
Client accepts tracking error	Client wants tight benchmark alignment
Mandate permits active risk	IPS emphasizes simplicity and cost control

Portfolio Construction

Top-Down vs Bottom-Up

Core-Satellite

Factor and Style Exposures

Derivatives and Hedging Concepts

If tested in your assigned IMT Exam 1 materials, focus on what the instrument is used for rather than complex pricing.

Notes and examples

Option Basics

Position	Right/Obligation	Market View
Long call	Right to buy	Bullish
Long put	Right to sell	Bearish/protection
Short call	Obligation to sell if exercised	Neutral to bearish; limited upside
Short put	Obligation to buy if exercised	Neutral to bullish; downside risk

Hedging Trap

A hedge is designed to reduce or transfer risk. It may also reduce upside. Do not assume hedging improves expected return.

Currency Risk

Approximate domestic return:

\[ R_{\text{domestic}} \approx R_{\text{foreign asset}} + R_{\text{foreign currency}} \]

This approximation is useful for quick reasoning, though exact compounding may differ.

Taxes and After-Tax Return

Exam Decision Rule

For taxable investors, compare investments on an after-tax, after-cost, risk-adjusted basis, not just stated yield.

Manager Selection and Due Diligence

Performance Trap

Strong historical returns may result from:

• Higher risk.
• Style tailwinds.
• Benchmark mismatch.
• Concentrated positions.
• Luck.
• Leverage.
• Illiquidity.
• Survivorship or selection bias.

Always ask: Was the return earned in a way consistent with the mandate?

Behavioural Finance Traps

Ethics and Professional Judgment

Even when questions are technical, professional judgment matters. In investment management questions, prefer answers that:

• Put client objectives and constraints first.
• Use suitable benchmarks.
• Explain risks honestly.
• Avoid unsupported performance claims.
• Consider costs, taxes, and liquidity.
• Maintain discipline with the IPS.
• Avoid unnecessary complexity.
• Document assumptions and rationale.

Do not choose an answer simply because it appears to offer a higher return.

Fast Decision Tree for Exam Questions

    flowchart TD
	    A[Read the question stem] --> B{Client profile or portfolio objective?}
	    B -->|Yes| C[Start with IPS: return, risk, time, liquidity, tax, constraints]
	    B -->|No| D{Formula or concept question?}
	    C --> E[Choose suitable asset mix or strategy]
	    D -->|Formula| F[Identify inputs and units before calculating]
	    D -->|Concept| G[Match term to risk, return, valuation, or performance category]
	    E --> H{Benchmark or performance comparison?}
	    F --> I[Check sign, percentage, and annualization]
	    G --> J[Eliminate answers that ignore assumptions]
	    H -->|Yes| K[Use risk-adjusted and benchmark-relative measures]
	    H -->|No| L[Check suitability and constraints]
	    I --> M[Select best answer]
	    J --> M
	    K --> M
	    L --> M

Common Calculation Mistakes

Put the review into practice