IMT Exam 2 — CSI : Investment Management Techniques Quick Review
Quick review for the Canadian Securities Institute CSI IMT Exam 2: Investment Management Techniques, with formulas, decision rules, traps, and practice focus.
Independent Quick Review
This page is an independent review aid for candidates preparing for the Canadian Securities Institute CSI IMT Exam 2: Investment Management Techniques — official exam code IMT Exam 2. Use it as a fast final-pass review before working through topic drills, mock exams, and detailed explanations.
The goal is not to replace the course material. The goal is to help you quickly reconnect the major concepts: portfolio construction, asset allocation, fixed income, equity valuation, derivatives, risk measurement, performance evaluation, and practical investment-management decision rules.
High-Yield Exam Mindset
The exam is likely to test whether you can apply investment management concepts, not merely define them.
Focus on:
- Choosing the right metric for the situation.
- Distinguishing risk types that look similar.
- Knowing when a formula is appropriate.
- Interpreting portfolio changes, not just calculating them.
- Recognizing client constraints and portfolio objectives.
- Understanding why an investment technique is used.
- Avoiding traps involving nominal vs. real returns, before-tax vs. after-tax results, correlation vs. covariance, duration vs. maturity, and systematic vs. unsystematic risk.
Rapid Topic Map
| Area | What to know cold | Common exam angle |
|---|---|---|
| Portfolio theory | Expected return, variance, covariance, correlation, diversification | Which portfolio reduces risk without sacrificing expected return? |
| Asset allocation | Strategic vs. tactical, rebalancing, constraints | Match portfolio policy to client objective |
| Risk and return | Standard deviation, beta, tracking error, downside risk | Select correct risk measure |
| CAPM and beta | Required return, market risk premium, systematic risk | Identify undervalued or overvalued security |
| Fixed income | Price-yield relationship, duration, convexity, immunization | Estimate bond price sensitivity |
| Equity valuation | DDM, P/E, relative valuation, growth assumptions | Compare valuation methods |
| Derivatives | Options, futures, hedging, leverage | Identify payoff, hedge, or risk exposure |
| Performance measurement | Sharpe, Treynor, Jensen alpha, information ratio | Choose the right performance metric |
| Portfolio implementation | Active vs. passive, costs, taxes, liquidity | Identify implementation trade-offs |
| Ethics and process | Suitability, documentation, objective alignment | Avoid recommendation mismatch |
Core Formulas to Remember
Return and Risk
Holding-period return:
\[ \text{HPR} = \frac{\text{Ending Value} - \text{Beginning Value} + \text{Income}}{\text{Beginning Value}} \]Expected return:
\[ E(R_p) = \sum w_i R_i \]Portfolio variance for two assets:
\[ \sigma_p^2 = w_1^2\sigma_1^2 + w_2^2\sigma_2^2 + 2w_1w_2\sigma_1\sigma_2\rho_{12} \]Beta:
\[ \beta_i = \frac{\text{Cov}(R_i,R_m)}{\sigma_m^2} \]CAPM required return:
\[ E(R_i) = R_f + \beta_i \left[E(R_m)-R_f\right] \]Bond Price Sensitivity
Approximate price change using modified duration:
\[ \%\Delta P \approx -D_{\text{mod}} \times \Delta y \]Duration plus convexity approximation:
\[ \%\Delta P \approx -D_{\text{mod}}\Delta y + \frac{1}{2}C(\Delta y)^2 \]Equity Valuation
Constant-growth dividend discount model:
\[ P_0 = \frac{D_1}{r-g} \]Required return from DDM:
\[ r = \frac{D_1}{P_0} + g \]Performance Ratios
Sharpe ratio:
\[ \text{Sharpe} = \frac{R_p - R_f}{\sigma_p} \]Treynor ratio:
\[ \text{Treynor} = \frac{R_p - R_f}{\beta_p} \]Jensen alpha:
\[ \alpha_p = R_p - \left[R_f + \beta_p(R_m - R_f)\right] \]Information ratio:
\[ \text{IR} = \frac{R_p - R_b}{\text{Tracking Error}} \]Formula Selection Table
| If the question asks about… | Usually use… | Watch for… |
|---|---|---|
| Total portfolio risk | Standard deviation | Includes systematic and unsystematic risk |
| Market-related risk | Beta | Only systematic risk |
| Diversification benefit | Correlation/covariance | Lower correlation improves diversification |
| Required return | CAPM | Use beta, not standard deviation |
| Manager skill vs. benchmark | Information ratio or alpha | Benchmark must be relevant |
| Risk-adjusted return using total risk | Sharpe ratio | Best for whole portfolios |
| Risk-adjusted return using market risk | Treynor ratio | Best when portfolio is well diversified |
| Bond price sensitivity | Modified duration | Yield change must be in decimal form |
| Larger yield changes | Duration plus convexity | Convexity adjusts duration estimate |
| Stock value with stable growth dividends | DDM | Growth must be less than required return |
| Relative equity valuation | P/E, P/B, EV/EBITDA | Multiples require comparable companies |
Portfolio Theory Quick Review
Diversification
Diversification reduces unsystematic risk, not systematic market risk.
| Risk type | Also called | Diversifiable? | Examples |
|---|---|---|---|
| Systematic risk | Market risk | No | Interest rates, recessions, broad equity-market shocks |
| Unsystematic risk | Specific risk | Yes | Company lawsuit, failed product, sector-specific issue |
Key point: adding securities helps most when correlations are low or negative.
Correlation Decision Rules
| Correlation | Interpretation | Portfolio effect |
|---|---|---|
| +1.00 | Perfect positive movement | No diversification benefit |
| 0 | No linear relationship | Meaningful diversification benefit |
| Negative | Opposite tendency | Strong diversification benefit |
| -1.00 | Perfect negative movement | Potential risk elimination in theory |
Common trap: low correlation does not mean low risk. A risky asset can still reduce portfolio volatility if its returns do not move closely with the rest of the portfolio.
Efficient Frontier and Asset Allocation
The efficient frontier represents portfolios that offer the highest expected return for a given risk level or the lowest risk for a given expected return.
Key Terms
| Concept | Meaning |
|---|---|
| Efficient portfolio | No other portfolio offers better return for same risk or lower risk for same return |
| Dominated portfolio | Inferior risk-return trade-off |
| Capital market line | Combines risk-free asset with market portfolio |
| Optimal portfolio | Best fit for investor’s risk tolerance and objectives |
| Strategic asset allocation | Long-term target mix |
| Tactical asset allocation | Short-term deviation from strategic targets |
| Rebalancing | Returning portfolio weights to policy targets |
Strategic vs. Tactical Allocation
| Feature | Strategic allocation | Tactical allocation |
|---|---|---|
| Time horizon | Long term | Short to intermediate term |
| Purpose | Policy discipline | Exploit perceived opportunities |
| Based on | Objectives, constraints, risk tolerance | Market views, valuation, macro outlook |
| Risk | May lag short-term markets | Can increase timing and implementation risk |
Exam trap: tactical shifts should still respect the investor’s objectives, constraints, and risk tolerance.
Investment Policy Statement Review
For investment management questions, always anchor decisions to the client’s objectives and constraints.
Core IPS Elements
| Element | What it answers |
|---|---|
| Return objective | What return is required or desired? |
| Risk tolerance | How much volatility/loss can the client accept? |
| Time horizon | When are funds needed? |
| Liquidity needs | What cash must be available and when? |
| Tax considerations | How are income, gains, and withdrawals affected? |
| Legal/regulatory constraints | Are there restrictions on investments or accounts? |
| Unique circumstances | ESG preferences, concentrated positions, special goals |
Decision Rule
A recommendation may be technically attractive but still unsuitable if it conflicts with:
- Time horizon.
- Liquidity requirements.
- Risk tolerance.
- Tax circumstances.
- Concentration limits.
- Stated client restrictions.
- Need for income or capital preservation.
Equity Investment Techniques
Common Equity Valuation Approaches
| Method | Best used when | Main limitation |
|---|---|---|
| Dividend discount model | Company pays stable dividends | Sensitive to growth and required return assumptions |
| P/E ratio | Earnings are positive and meaningful | Distorted by cyclical or abnormal earnings |
| Price-to-book | Financial firms, asset-heavy companies | Less useful for intangible-heavy firms |
| Price-to-sales | Early growth or low-margin firms | Ignores profitability |
| EV/EBITDA | Capital-structure comparisons | Can ignore capital expenditure needs |
| Free cash flow valuation | Cash-flow-focused analysis | Sensitive to forecasts and discount rate |
DDM Traps
- Use next dividend, not last dividend, in the numerator.
- Constant growth model requires growth below required return.
- A small change in growth can cause a large change in value.
- High dividend yield does not automatically mean undervaluation.
- Non-dividend-paying companies usually require another valuation method.
Growth vs. Value
| Style | Typical features | Risk/trap |
|---|---|---|
| Growth | High expected earnings growth, high valuation multiples | Expectations may be too optimistic |
| Value | Lower valuation multiples, often out of favour | May be cheap for a valid reason |
| Quality | Stable earnings, strong balance sheet, durable profitability | Can become expensive |
| Momentum | Strong recent price trends | Reversal risk |
| Dividend/income | Higher payout and income focus | Dividend cuts, interest-rate sensitivity |
Fixed Income Quick Review
Bond Price-Yield Relationship
| If yields… | Bond prices… | Explanation |
|---|---|---|
| Rise | Fall | Existing coupons become less attractive |
| Fall | Rise | Existing coupons become more attractive |
This relationship is:
- Inverse.
- Non-linear.
- More sensitive for longer-duration bonds.
- More sensitive when coupon rates are lower.
- More sensitive when yields are lower.
Duration Concepts
| Concept | Meaning | Use |
|---|---|---|
| Macaulay duration | Weighted average timing of cash flows | Bond timing measure |
| Modified duration | Approximate price sensitivity to yield changes | Estimate price change |
| Effective duration | Duration allowing for embedded options | Callable/putable bonds |
| Dollar duration | Dollar price change for yield change | Position-level risk |
| Convexity | Curvature of price-yield relationship | Improves estimate for larger rate changes |
Duration Decision Rules
| Bond feature | Duration impact |
|---|---|
| Longer maturity | Higher duration |
| Lower coupon | Higher duration |
| Lower yield | Higher duration |
| Embedded call option | May reduce effective duration when rates fall |
| Floating-rate structure | Usually lower interest-rate sensitivity |
Immunization
Immunization attempts to offset interest-rate risk by matching asset duration to liability duration.
Key points:
- Used to fund future liabilities.
- Duration matching is not permanent; portfolios need rebalancing.
- Convexity matters when yield changes are large.
- Cash-flow matching is more exact but can be more expensive or restrictive.
Yield Measures
| Yield measure | Meaning | Trap |
|---|---|---|
| Current yield | Annual coupon divided by price | Ignores maturity and capital gain/loss |
| Yield to maturity | Return if held to maturity and payments occur as expected | Assumes reinvestment at YTM |
| Yield to call | Return if callable bond is called | Important for premium callable bonds |
| Real yield | Nominal yield adjusted for inflation | Use when purchasing power matters |
| Spread | Yield premium over benchmark | Reflects credit, liquidity, and other risks |
Credit and Spread Risk
Credit spread compensates investors for risks beyond the benchmark rate.
Spread Drivers
| Driver | Effect on spread |
|---|---|
| Weaker credit quality | Wider spread |
| Lower liquidity | Wider spread |
| Economic stress | Wider spread |
| Higher default risk | Wider spread |
| Stronger covenants/security | Narrower spread, all else equal |
| Improving issuer fundamentals | Narrower spread |
Common trap: a bond can lose value even if benchmark interest rates are unchanged, because credit spreads can widen.
Derivatives Quick Review
Derivatives are often tested conceptually: payoff direction, hedge purpose, leverage, and risk exposure.
Options
| Position | Right/obligation | View or use | Maximum loss |
|---|---|---|---|
| Long call | Right to buy | Bullish or upside exposure | Premium paid |
| Short call | Obligation to sell | Neutral/bearish income strategy | Potentially unlimited |
| Long put | Right to sell | Bearish or downside protection | Premium paid |
| Short put | Obligation to buy | Neutral/bullish income strategy | Large downside risk |
Option Moneyness
| Option | In the money when… |
|---|---|
| Call | Market price exceeds strike price |
| Put | Market price is below strike price |
Intrinsic value:
- Call: max(0, stock price - strike price)
- Put: max(0, strike price - stock price)
Futures and Forwards
| Feature | Futures | Forwards |
|---|---|---|
| Trading | Exchange-traded | Over-the-counter |
| Standardization | Standardized | Customized |
| Counterparty risk | Reduced through clearinghouse | Higher counterparty exposure |
| Settlement | Marked to market | Typically settled at maturity |
| Flexibility | Lower | Higher |
Hedge Direction Rules
| Exposure | Concern | Possible hedge |
|---|---|---|
| Own stock | Price decline | Buy put or sell futures |
| Need to buy asset later | Price increase | Buy futures/forward |
| Own foreign asset | Currency depreciation | Sell foreign currency forward |
| Floating-rate borrower | Rising rates | Use rate hedge that benefits when rates rise |
| Bond portfolio | Rising yields | Short bond futures or reduce duration |
Common trap: hedging reduces unwanted risk, but it can also reduce upside.
Alternative Investments
Alternative investments may offer diversification, but they often introduce valuation, liquidity, leverage, and transparency risks.
| Alternative | Potential benefit | Key risk |
|---|---|---|
| Real estate | Income, inflation sensitivity, diversification | Illiquidity, valuation lag |
| Infrastructure | Stable cash flows, inflation linkage | Political/regulatory risk |
| Private equity | Growth and control premium | Illiquidity, valuation uncertainty |
| Hedge funds | Flexible strategies, absolute-return objective | Leverage, complexity, manager risk |
| Commodities | Inflation hedge, diversification | Volatility, no cash flow |
| Structured products | Customized payoff | Complexity, issuer risk, liquidity risk |
Exam trap: “alternative” does not automatically mean safer or better diversified. Look at correlation, liquidity, leverage, valuation method, and client suitability.
Active vs. Passive Management
| Feature | Active management | Passive management |
|---|---|---|
| Goal | Outperform benchmark | Track benchmark |
| Cost | Usually higher | Usually lower |
| Main risk | Underperformance, manager risk | Tracking error |
| Best case | Skill adds value after costs | Efficient market exposure |
| Evaluation | Alpha and information ratio | Tracking error and benchmark fit |
When Active May Be More Plausible
- Less efficient markets.
- Smaller or less-followed securities.
- Specialized mandates.
- Market dislocations.
- Skilled manager with disciplined process and reasonable fees.
When Passive May Be More Plausible
- Highly efficient markets.
- Cost-sensitive clients.
- Need for broad exposure.
- Benchmark-relative mandate.
- Low tolerance for manager underperformance.
Rebalancing
Rebalancing keeps the portfolio aligned with policy targets.
Rebalancing Methods
| Method | Description | Advantage | Disadvantage |
|---|---|---|---|
| Calendar | Rebalance at fixed intervals | Simple | May ignore large market moves |
| Threshold | Rebalance when weights drift beyond limits | Risk-sensitive | Requires monitoring |
| Cash-flow | Use contributions/withdrawals to adjust | Cost-efficient | May be insufficient |
| Tactical | Rebalance with market views | Flexible | Can become market timing |
Common trap: rebalancing can force selling recent winners and buying recent losers. That is the discipline, not a mistake, if it is consistent with the policy.
Risk Measures and What They Mean
| Measure | Captures | Best use | Limitation |
|---|---|---|---|
| Standard deviation | Total volatility | Whole portfolio risk | Penalizes upside and downside equally |
| Beta | Sensitivity to market | Systematic risk | Does not capture unique risk |
| Downside deviation | Downside volatility | Loss-focused investors | Requires defined threshold |
| Value at Risk | Estimated loss at confidence level | Risk reporting | Does not show worst possible loss |
| Tracking error | Volatility of active return | Benchmark-relative portfolios | Not absolute risk |
| Duration | Interest-rate sensitivity | Bond portfolios | Less accurate for large yield changes |
| Credit spread | Credit/liquidity compensation | Fixed income risk | Spread changes can be sudden |
Performance Measurement Decision Tree
flowchart TD
A[What are you evaluating?] --> B[Whole portfolio total risk]
A --> C[Well-diversified portfolio market risk]
A --> D[Active manager vs benchmark]
A --> E[Bond portfolio rate sensitivity]
B --> B1[Use Sharpe ratio]
C --> C1[Use Treynor ratio or Jensen alpha]
D --> D1[Use active return, tracking error, information ratio]
E --> E1[Use duration, convexity, yield/spread analysis]
Performance Evaluation Quick Table
| Metric | Formula idea | Good result means… | Common mistake |
|---|---|---|---|
| Sharpe ratio | Excess return / standard deviation | More excess return per unit of total risk | Using beta instead of standard deviation |
| Treynor ratio | Excess return / beta | More excess return per unit of market risk | Using for poorly diversified portfolios |
| Jensen alpha | Actual return minus CAPM required return | Positive risk-adjusted outperformance | Ignoring benchmark relevance |
| Information ratio | Active return / tracking error | Strong active return consistency | Confusing tracking error with standard deviation |
| Tracking error | Volatility of active return | Lower means closer benchmark tracking | Assuming low tracking error means high return |
Taxes, Costs, and Implementation
Investment decisions should be evaluated after considering friction costs.
Common Frictions
| Friction | Why it matters |
|---|---|
| Trading costs | Reduce realized return |
| Bid-ask spread | Important in less-liquid securities |
| Management fees | Lower net performance |
| Taxes | Affect after-tax return and asset location |
| Market impact | Large trades can move prices |
| Currency conversion | Adds cost and FX risk |
| Liquidity limits | May prevent timely exit |
Common trap: the best pre-cost strategy may not be the best net strategy.
Currency Risk
Currency exposure matters when assets, liabilities, income, or spending needs are in different currencies.
| Situation | Currency issue |
|---|---|
| Canadian investor owns foreign assets | Return depends on asset performance and exchange rate |
| Foreign currency strengthens vs. Canadian dollar | Foreign asset return is boosted in CAD terms |
| Foreign currency weakens vs. Canadian dollar | Foreign asset return is reduced in CAD terms |
| Future foreign expense | Investor may need currency hedge |
| Foreign income stream | Exchange-rate volatility affects cash flow |
Hedging currency risk can reduce volatility, but it may also remove currency gains.
Behavioural Finance Review
Behavioural concepts often appear as practical traps in client or portfolio scenarios.
| Bias | What it looks like | Investment risk |
|---|---|---|
| Loss aversion | Losses feel worse than gains feel good | Selling winners too early, holding losers |
| Overconfidence | Excessive belief in forecasting skill | Overtrading, concentration |
| Confirmation bias | Seeking supportive evidence only | Ignoring contrary data |
| Anchoring | Fixating on purchase price or past value | Refusing to update assumptions |
| Herding | Following crowd behaviour | Buying high, selling low |
| Recency bias | Overweighting recent events | Chasing performance |
| Mental accounting | Treating money differently by bucket | Inefficient portfolio decisions |
Exam trap: identify the bias from the behaviour, not from whether the investment outcome was good or bad.
Common Candidate Mistakes
Calculation Mistakes
- Using percentages instead of decimals inconsistently.
- Forgetting to include income in holding-period return.
- Using beginning value and ending value in the wrong places.
- Treating correlation as covariance.
- Using standard deviation when beta is required.
- Forgetting the negative sign in duration price-change estimates.
- Using last dividend instead of next dividend in the DDM.
- Ignoring benchmark return when calculating active return.
- Confusing yield change in basis points with percentage points.
- Applying a constant-growth formula when growth is not stable.
Conceptual Mistakes
- Assuming diversification eliminates all risk.
- Treating a low-volatility asset as automatically suitable.
- Ignoring liquidity needs.
- Assuming higher return always means better performance.
- Equating high dividend yield with low risk.
- Forgetting that leverage magnifies losses as well as gains.
- Ignoring tax and transaction cost drag.
- Confusing hedging with speculation.
- Assuming derivatives are always inappropriate.
- Assuming alternatives are always diversifying.
High-Yield Decision Rules
Portfolio Construction
- Start with client objectives and constraints.
- Set strategic asset allocation first.
- Use diversification to reduce unsystematic risk.
- Evaluate risk at the portfolio level, not just security level.
- Rebalance when drift creates unintended risk.
- Consider taxes, fees, liquidity, and implementation costs.
Fixed Income
- If rates rise, bond prices fall.
- Longer duration means greater rate sensitivity.
- Credit spread widening can hurt returns even if rates are stable.
- Callable bonds behave differently when rates fall.
- Immunization requires monitoring and rebalancing.
- Yield to maturity is not guaranteed unless assumptions hold.
Equity Valuation
- Use DDM only when dividends are meaningful and growth assumptions are reasonable.
- Use relative valuation only with comparable companies.
- High P/E may signal growth expectations, not necessarily overvaluation.
- Low P/E may signal value, distress, or cyclically high earnings.
- Growth assumptions drive valuation heavily.
Derivatives
- Long options have limited loss equal to the premium.
- Short uncovered options can create large or unlimited losses.
- Futures create obligation, not optionality.
- Hedging reduces exposure but can reduce upside.
- Leverage means small price changes can produce large gains or losses.
Performance
- Sharpe ratio uses total risk.
- Treynor ratio uses beta.
- Jensen alpha compares actual return to CAPM-required return.
- Information ratio evaluates active return per unit of active risk.
- Always compare performance to the correct benchmark.
Quick Practice Prompts
Use these prompts before moving into topic drills or a question bank.
Portfolio Theory
- If two assets have the same expected return but different correlations with the portfolio, which improves diversification more?
- What happens to total portfolio risk as more imperfectly correlated securities are added?
- Which risk remains after full diversification?
Fixed Income
- Which bond has greater duration: long maturity or short maturity?
- What happens to a bond’s price when yields rise?
- Why does convexity matter for large yield changes?
- How can a bond portfolio lose money if benchmark yields are unchanged?
Equity
- When is the dividend discount model appropriate?
- Why can a low P/E ratio be misleading?
- How does a higher required return affect intrinsic value?
Derivatives
- Which option protects an existing stock position from downside risk?
- What is the difference between a futures contract and an option?
- Why can a hedge reduce both risk and potential gain?
Performance
- Which ratio should be used for total portfolio risk?
- Which ratio is best for benchmark-relative active management?
- What does positive Jensen alpha indicate?
Final Review Checklist
Before mock exams, make sure you can:
- Explain systematic vs. unsystematic risk.
- Calculate and interpret expected return.
- Interpret correlation and diversification effects.
- Apply CAPM and identify required return.
- Select Sharpe, Treynor, Jensen alpha, or information ratio.
- Explain the inverse bond price-yield relationship.
- Estimate price change using duration.
- Identify when convexity is relevant.
- Compare yield measures.
- Recognize equity valuation method limitations.
- Interpret option and futures hedges.
- Distinguish active and passive management.
- Apply IPS constraints to investment recommendations.
- Recognize suitability issues.
- Explain rebalancing methods.
- Identify behavioural biases from client actions.
How to Use This With Practice Questions
For CSI IMT Exam 2: Investment Management Techniques review, do not stop at reading formulas. Convert each topic into original practice questions:
- Start with topic drills for formulas and definitions.
- Move to mixed question-bank sets to test topic recognition.
- Review detailed explanations for every missed question.
- Track mistakes by category: formula, concept, wording, or suitability judgment.
- Re-test weak areas with fresh original practice questions.
- Finish with timed mock exams to build speed and decision confidence.
A good final step is to work through an independent companion practice set for IMT Exam 2, focusing especially on fixed income, portfolio risk, valuation, derivatives, and performance measurement.