CII R02 - Investment Principles and Risk Cheat Sheet

Cheat sheet: exam-prep reference for CII R02 - Investment Principles and Risk: formulas, asset classes, risk measures, portfolio theory, and suitability decision points.

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

Scope and study context

Focus your revision on:

  • Recognising the investment feature being tested: return, risk, tax treatment, liquidity, volatility, income, growth, capital security, or diversification.

  • Knowing the directional relationships: interest rates versus bond prices, inflation versus real returns, correlation versus diversification benefit.

  • Separating similar terms: volatility versus risk, coupon versus yield, strategic versus tactical asset allocation, active versus passive management.

  • Practising calculations until the formula choice is automatic.

  • link economic conditions to investment markets;

  • distinguish the main asset classes and their risk/return characteristics;

  • apply core investment mathematics without overcomplicating the question;

  • recognise different types of investment risk;

  • understand diversification, portfolio construction, and asset allocation;

  • interpret common performance and risk measures;

  • avoid common exam traps in wording, calculations, and client suitability scenarios.

A strong review method is:

  1. Read this Cheat Sheet once without stopping.
  2. Do topic drills on weak areas: bonds, risk measures, portfolio theory, collectives, and calculations.
  3. Review detailed explanations, especially for questions you guessed correctly.
  4. Create an error log with three columns: topic, mistake type, correction rule.
  5. Attempt mixed original practice questions so you learn to identify the topic without prompts.
  6. Use mock exams to practise time discipline and question wording.

Your goal is not to memorise this page word-for-word. Your goal is to recognise the decision rule the question is testing.

Core formula sheet

Use decimal form in calculations unless the question asks for percentages. Always check whether the question asks for nominal, real, simple, compound, income-only, or total return.

Time value of money and returns

\[ \begin{aligned} FV &= PV(1+r)^n \\ PV &= \frac{FV}{(1+r)^n} \\ \text{Simple interest} &= P \times r \times t \\ \text{Compound return} &= \left(\frac{\text{End value}}{\text{Start value}}\right)^{1/n}-1 \end{aligned} \]\[ \begin{aligned} \text{Holding period return} &= \frac{\text{Income}+\text{End value}-\text{Start value}}{\text{Start value}} \\ \text{Real return} &= \frac{1+\text{Nominal return}}{1+\text{Inflation rate}}-1 \\ \text{Approximate real return} &\approx \text{Nominal return}-\text{Inflation rate} \end{aligned} \]

Expected return, risk, and portfolio theory

\[ E(R)=\sum p_i r_i \]\[ \sigma=\sqrt{\sum p_i(r_i-E(R))^2} \]\[ E(R_p)=\sum w_i E(R_i) \]\[ \sigma_p^2=w_1^2\sigma_1^2+w_2^2\sigma_2^2+2w_1w_2\sigma_1\sigma_2\rho_{12} \]\[ \text{Covariance}_{1,2}=\rho_{1,2}\sigma_1\sigma_2 \]

CAPM and performance measures

\[ E(R_i)=R_f+\beta_i(E(R_m)-R_f) \]\[ \alpha=R_i-\left[R_f+\beta_i(R_m-R_f)\right] \]\[ \text{Sharpe ratio}=\frac{R_p-R_f}{\sigma_p} \]\[ \text{Treynor ratio}=\frac{R_p-R_f}{\beta_p} \]

Bond pricing concept

\[ P=\sum_{t=1}^{n}\frac{C}{(1+y)^t}+\frac{M}{(1+y)^n} \]

Where \(P\) is price, \(C\) is coupon, \(y\) is yield, \(M\) is maturity value, and \(n\) is number of periods.

Calculation trigger table

Exam triggerLikely calculationKey rule
“What will this investment be worth in X years?”Future value = present value x (1 + rate)^yearsCompound unless simple interest is stated
“What amount is needed today?”Present value = future value / (1 + rate)^yearsDiscount future cash flow back
“Income plus capital change”Holding period returnInclude both income and gain/loss
“After inflation”Real returnUse exact formula if figures are close-tested
“Expected return from scenarios”Sum of probability x returnProbabilities should total 100%
“Risk from scenarios”Standard deviationSquare deviations before weighting
“Two-asset portfolio risk”Portfolio variance with correlationCorrelation drives diversification benefit
“Required return for market risk”CAPMUses beta, not standard deviation
“Risk-adjusted performance using total volatility”Sharpe ratioUses standard deviation
“Risk-adjusted performance using market risk”Treynor ratioUses beta
“Manager value added versus CAPM”AlphaPositive alpha means outperformance after beta adjustment
“Annual coupon as percentage of current price”Running yieldIgnores redemption gain/loss
“Full return to redemption”Gross redemption yield / yield to maturity conceptIncludes coupon, capital gain/loss, and timing

High-yield investment principles

PrincipleExam meaningCommon trap
Risk and return trade-offHigher expected return normally requires accepting higher risk“Low risk and high return” is usually unrealistic unless another risk is hidden
DiversificationCombining assets can reduce unsystematic riskDiversification does not remove market/systematic risk
LiquidityAbility to sell quickly without material price concessionListed does not always mean liquid in stressed markets
Time horizonLonger horizon can support more volatile growth assetsShort-term objectives usually need liquidity and capital stability
Inflation riskPurchasing power erosionCash can be nominally secure but risky in real terms
Reinvestment riskFuture income may be reinvested at lower ratesImportant for bonds and income strategies
Sequence riskOrder of returns matters when withdrawals are being madeAverage return alone can mislead retirees or drawdown clients
VolatilityDispersion of returns around meanVolatility is a risk measure, not the only risk
Capacity for lossFinancial ability to absorb lossDifferent from attitude to risk
Need to take riskReturn required to meet objectivesA high need does not override low capacity for loss

Asset class comparison

Asset classReturn sourceMain strengthsMain risksTypical exam clues
Cash depositsInterestLiquidity, nominal capital stabilityInflation risk, interest rate risk, counterparty riskEmergency fund, short-term goal, low volatility
Money market instrumentsInterest/discountShort maturity, high liquidityCredit risk, reinvestment risk, low real returnTreasury bills, certificates of deposit, commercial paper
Government bondsCoupon and redemptionKnown cash flows if held to maturity, generally lower credit risk than corporatesInterest rate risk, inflation risk, duration riskCapital security relative to equities, income, liability matching
Corporate bondsCoupon and redemptionHigher yield than government bonds of similar maturityCredit/default risk, downgrade risk, liquidity riskIncome with credit spread compensation
Index-linked bondsCoupon/redemption linked to inflation measureInflation protectionReal yield risk, index lag/mismatch, duration riskReal liability matching, inflation concern
EquitiesDividends and capital growthLong-term growth potential, inflation hedge potentialMarket risk, business risk, dividend uncertaintyLong time horizon, growth objective
Commercial propertyRent and capital growthIncome, diversification, tangible assetLiquidity risk, valuation risk, vacancy risk, gearing riskLong-term income, lower daily pricing transparency
Collective fundsUnderlying asset returnsDiversification, professional management, accessCharges, manager risk, liquidity depends on assetsSmall investor needing diversified exposure
Investment trustsDividends and share price/NAV movementGearing possible, closed-ended structureDiscount/premium volatility, gearing magnifies lossesListed company investing in portfolio
ETFsIndex or asset exposureLow-cost passive access, intraday tradingTracking error, market price versus NAV, liquidity spreadPassive allocation, benchmark exposure
DerivativesPrice movement of underlyingHedging, leverage, efficient exposureLeverage, counterparty/margin risk, complexityFutures, options, swaps, protection strategies
AlternativesVaries by strategyDiversification potentialLiquidity, opacity, valuation, manager riskHedge funds, private equity, commodities, infrastructure

Fixed interest securities

Bond terminology

TermMeaningExam point
Nominal/par valueAmount on which coupon is calculated and usually repaid at redemptionCoupon is based on nominal, not market price
CouponStated interest paymentFixed coupon does not change when market price changes
Clean priceQuoted price excluding accrued interestCommon quoted bond price
Dirty priceClean price plus accrued interestActual settlement amount concept
Running yieldAnnual coupon / current clean priceIncome yield only
Redemption yieldOverall return if held to redemptionIncludes coupon plus capital gain/loss to redemption
Yield spreadExtra yield over benchmark government bondCompensation for credit/liquidity/other risks
DurationSensitivity of bond price to interest rate changesLonger duration means greater price sensitivity
Modified durationApproximate percentage price change for 1% yield changePrice change is opposite direction to yield change
ConvexityCurvature of price-yield relationshipDuration estimate is less exact for large yield changes
Notes and examples

Bond price and yield relationships

If this changesBond price effectYield effectKey reason
Market interest rates riseFallsRisesExisting fixed coupons are less attractive
Market interest rates fallRisesFallsExisting fixed coupons are more attractive
Credit risk increasesFallsRisesInvestors demand wider spread
Time to redemption shortensPulls toward parRedemption yield convergesRedemption value becomes more certain
Coupon is high versus market yieldPrice usually above parLower yield than couponInvestor pays premium for high coupon
Coupon is low versus market yieldPrice usually below parHigher yield than couponInvestor pays discount for low coupon
Inflation expectations riseConventional bond prices often fallYields often riseInvestors demand compensation for inflation

Fixed interest product distinctions

InstrumentKey featuresMain exam distinction
Treasury billShort-term government money market instrument issued at discountNo coupon; return comes from discount to redemption value
GiltUK government bondLower credit risk than most corporate issuers, but still has interest rate and inflation risk
Corporate bondCompany debt securityAdds credit/default risk to interest rate risk
Floating-rate noteCoupon resets to reference rate plus marginLower interest rate sensitivity than fixed-rate bond
Index-linked giltPayments linked to inflation measureBetter inflation matching than conventional gilt
Convertible bondBond with option to convert into sharesHybrid debt/equity exposure
Preference shareFixed dividend priority over ordinary shares, often no voting rightsEquity legally, bond-like income characteristics
Callable bondIssuer can redeem earlyInvestor faces reinvestment risk if called when rates fall
Subordinated debtRanks behind senior debt on insolvencyHigher risk, usually higher yield

Equities and company analysis

Equity security types and corporate actions

ItemMeaningExam relevance
Ordinary shareOwnership share with residual claim on profits/assetsHighest upside, higher risk than debt
Preference sharePriority dividend, often fixedLess upside than ordinary shares, dividend may be cumulative or non-cumulative
Rights issueExisting shareholders offered new shares, usually at discountProtects pre-emption rights; affects share price and holding value
Bonus/scrip issueFree additional shares issued to shareholdersMore shares, lower price per share; no immediate economic gain by itself
Stock splitMore shares with lower price per shareMarket value unchanged before market reaction
Share buybackCompany repurchases sharesCan improve EPS, return surplus cash, alter gearing
Cum-dividendBuyer is entitled to next dividendPrice normally includes dividend entitlement
Ex-dividendBuyer is not entitled to next dividendPrice often falls by approximate dividend amount
Notes and examples

Equity ratios

RatioPlain formulaInterpretation
Earnings per shareProfit attributable to ordinary shareholders / weighted average ordinary sharesProfit per ordinary share
Price/earnings ratioShare price / EPSHigher P/E may indicate growth expectations or overvaluation
Earnings yieldEPS / share priceInverse of P/E
Dividend yieldDividend per share / share priceIncome return based on current price
Dividend coverEPS / dividend per shareAbility of earnings to support dividend
Net asset value per shareNet assets / shares in issueUseful for investment companies and asset-backed businesses
Return on capital employedOperating profit / capital employedEfficiency of capital use
GearingDebt / equity or debt / total capitalCheck formula wording in the question
Interest coverProfit before interest and tax / interest payableAbility to service debt
Current ratioCurrent assets / current liabilitiesShort-term liquidity measure
Acid-test ratioCurrent assets excluding inventory / current liabilitiesStricter liquidity measure

Equity valuation traps

TrapCorrect exam logic
High dividend yield always means good valueIt may signal falling share price or dividend risk
Low P/E always means cheapIt may reflect low growth, cyclical weakness, or high risk
High P/E always means overvaluedIt may reflect strong expected growth or high-quality earnings
EPS growth guarantees dividend growthDividend policy and cash flow matter
NAV equals market priceListed investment companies can trade at discount or premium to NAV
Gearing only increases returnsGearing magnifies gains and losses

Collective investments

VehicleStructurePricing/liquidityKey advantagesKey risks/traps
Unit trustTrust-based open-ended fundUnits created/cancelled; may be dual pricedDiversification, professional managementBid-offer spread/charges; liquidity depends on assets
OEICCorporate open-ended fundUsually single-priced sharesSimple pricing, diversified accessDilution adjustments, charges, underlying asset liquidity
Investment trustClosed-ended listed companyShares trade on exchangeCan use gearing; manager not forced to sell assets for redemptionsDiscount/premium risk; market price volatility
ETFExchange-traded fund, often index-trackingIntraday trading at market priceLow-cost passive exposure, transparencyTracking error, dealing spread, synthetic counterparty risk if relevant
Life fundInsurance-based fundUnits or notional units depending on contractTax treatment depends on wrapper and fundCharges, smoothing/market value reductions for with-profits concepts
Pension fundTax-advantaged retirement wrapperAccess and tax rules depend on pension rulesLong-term retirement investmentLegislative/tax rules can change; use current CII material
ISA or tax wrapperWrapper around eligible investmentsWrapper rules determine tax treatmentTax efficiencyAllowances and eligibility must be checked from current material
Notes and examples

Open-ended versus closed-ended

FeatureOpen-ended fundClosed-ended fund
Investor dealingWith fund manager/platformOn market with another investor
Fund sizeExpands/contracts with subscriptions/redemptionsFixed share capital unless corporate action
Liquidity pressureManager may need to sell assets for redemptionsPortfolio manager less directly affected by daily investor flows
PricingBased on underlying NAV, with adjustments/chargesMarket price can differ from NAV
Discount/premiumGenerally not a core featureImportant feature
GearingUsually more restricted by fund rulesInvestment trusts commonly may use gearing

Collective investments

Collective investments pool money from many investors and invest according to a stated mandate.

Open-ended versus closed-ended structures

FeatureOpen-ended fundsClosed-ended investment companies
Capital structureUnits/shares created or cancelled to meet demandFixed number of shares, normally traded on market
PricingLinked to net asset valueMarket price may be at discount or premium to net asset value
LiquidityFund deals with investors, subject to rules and asset liquidityInvestor usually trades shares on exchange
GearingUsually limited depending on structure/mandateMore common and can increase volatility
Key trapAssuming daily dealing means assets are always liquidIgnoring discount/premium and gearing

Active and passive management

StyleDescriptionPotential advantagePotential weakness
ActiveManager selects securities to outperform a benchmarkPotential outperformance or risk controlHigher costs and manager risk
PassiveTracks an index or benchmarkLower cost, transparency, broad exposureTracking error; cannot outperform before costs
Smart beta / factorRules-based exposure to factorsTransparent factor tiltFactor underperformance risk

Accumulation versus income units

Unit typeTreatment
Income unitsDistributions are paid out to the investor
Accumulation unitsIncome is retained and reinvested within the fund

Trap: accumulation units do not mean the underlying investments produce no income; they mean the income is reinvested rather than paid out.

Derivatives

Core derivative distinctions

DerivativeBuyer positionSeller/writer positionTypical useMain risk
ForwardObligation to transact at agreed future priceObligationTailored hedgeCounterparty risk, illiquidity
FutureStandardised exchange-traded obligationObligationHedge or efficient exposureMargin calls, leverage
Call optionRight to buy underlyingObligation to sell if exercisedBenefit from rising price or cap purchase costPremium loss for buyer; potentially large loss for uncovered writer
Put optionRight to sell underlyingObligation to buy if exercisedDownside protection or bearish exposurePremium loss for buyer; loss if underlying falls for writer
SwapExchange of cash flowsExchange of cash flowsInterest rate or currency risk managementCounterparty and basis risk
WarrantLong-dated option-like security, often issued by company/financial institutionIssuer obligationLeveraged exposureTime decay, issuer risk
Notes and examples

Option payoff logic

PositionProfits ifMaximum lossMaximum gainExam cue
Long callUnderlying rises above strike plus premiumPremium paidTheoretically unlimitedBullish with limited downside
Short callUnderlying stays below strike plus premiumPotentially unlimited if uncoveredPremium receivedIncome strategy, high risk if uncovered
Long putUnderlying falls below strike less premiumPremium paidLarge but limited by underlying not falling below zeroPortfolio insurance
Short putUnderlying stays above strike less premiumLarge, limited by underlying falling to zeroPremium receivedWilling/obliged to buy underlying
Protective putHolding asset plus buying putPremium plus limited downside to strike logicUpside retained less premiumDownside protection
Covered callHolding asset plus selling callDownside on asset less premiumUpside cappedIncome enhancement, sacrifices upside

Risk reference

RiskMeaningCommonly linked productsExam handling
Market riskGeneral market price movementEquities, bonds, property, fundsCannot be diversified away fully
Specific/unsystematic riskIssuer/company-specific riskSingle shares, single bondsReduced by diversification
Systematic riskEconomy-wide or market-wide riskAll market assetsMeasured by beta in CAPM context
Interest rate riskPrice sensitivity to rate changesFixed-rate bonds, property, equitiesLonger duration increases sensitivity
Inflation riskReal value erosionCash, fixed incomeNominal safety can still lose purchasing power
Credit/default riskIssuer fails to payCorporate bonds, deposits, structured productsHigher yield often compensates for higher credit risk
Counterparty riskOther party fails to performDerivatives, deposits, OTC productsMore relevant outside central clearing
Liquidity riskCannot sell quickly at fair valueProperty, small-cap shares, complex productsStressed markets increase liquidity risk
Currency riskExchange rate movement affects returnOverseas assetsCan be hedged but hedging has cost/basis risk
Reinvestment riskIncome/redemption proceeds reinvested at lower ratesBonds, income portfoliosHigher when rates fall
Political/regulatory riskGovernment or rule changes affect valueEmerging markets, regulated sectorsDiversification may reduce country/sector exposure
Operational riskProcess, system, human failurePlatforms, managers, institutionsNot captured by volatility alone
Concentration riskToo much exposure to one asset/sector/issuerSingle shares, employer sharesDiversification is core remedy
Shortfall riskFailing to meet target return/objectiveGoal-based planningMay exist even in low-volatility portfolios
Sequencing riskPoor returns early during withdrawalsRetirement income/drawdownImportant when money is being taken out
Notes and examples

Core risk definitions

RiskMeaningExample
Market riskWhole market moves against the investorEquity market downturn
Specific riskRisk linked to one issuer/companyCompany profit warning
Inflation riskReturns fail to keep pace with pricesCash earning less than inflation
Interest rate riskBond prices fall when yields riseLong-dated gilt price decline
Credit/default riskIssuer fails to pay interest or capitalCorporate bond default
Liquidity riskDifficulty selling at a fair price quicklyProperty fund suspension/restriction
Currency riskExchange rates reduce sterling returnOverseas fund falls after currency move
Reinvestment riskFuture income/capital reinvested at lower ratesBond matures when rates are lower
Concentration riskToo much exposure to one asset, sector, or issuerPortfolio dominated by one share
Counterparty riskOther party fails to meet obligationsStructured product provider failure
Political/regulatory riskPolicy or legal changes affect returnsOverseas market restrictions
Sequencing riskPoor returns occur at a damaging timeEarly retirement withdrawals during downturn

Systematic and unsystematic risk

Risk typeCan diversification reduce it?Description
Systematic riskNo, not fullyMarket-wide risk affecting many securities
Unsystematic riskYesCompany/sector-specific risk

Diversification can reduce specific risk but cannot remove broad market risk.

Volatility and standard deviation

Standard deviation measures dispersion of returns around the average. Higher standard deviation usually indicates higher volatility.

Key interpretation:

  • Low standard deviation: returns clustered more closely around the average.
  • High standard deviation: wider range of possible outcomes.
  • It measures variability, not whether the investment is suitable.

Correlation

Correlation measures how two investments move relative to each other.

CorrelationMeaningDiversification effect
+1Move perfectly togetherNo diversification benefit
0No linear relationshipUseful diversification potential
-1Move perfectly oppositelyMaximum theoretical diversification benefit

A portfolio can reduce volatility when assets are not perfectly positively correlated.

Risk measures and statistics

MeasurePlain formula or meaningUse in CII R02 context
Arithmetic meanSum of returns / number of returnsSimple average; can overstate multi-period growth
Geometric meanCompound annual growth rateBetter for multi-period investment performance
MedianMiddle valueLess affected by extreme outliers
ModeMost frequent valueLess common in investment return analysis
RangeHighest value minus lowest valueSimple dispersion measure
VarianceProbability-weighted squared deviation from meanIntermediate step to standard deviation
Standard deviationSquare root of varianceTotal volatility of returns
Normal distributionSymmetrical bell-shaped distributionMean, median, and mode are equal in ideal normal distribution
SkewnessAsymmetry of distributionNegative skew means more/larger downside tail outcomes
KurtosisFatness of tails/peakednessHigh kurtosis means more extreme outcomes
CovarianceDirection of co-movementHarder to interpret than correlation
CorrelationStandardised co-movement from -1 to +1Key to diversification
BetaSensitivity to market movementsMarket/systematic risk measure
AlphaReturn above/below required CAPM returnManager/security value added measure
R-squaredProportion of movement explained by benchmarkHigh R-squared means benchmark explains much of variation
Tracking errorVolatility of active return versus benchmarkImportant for passive and active fund assessment
Information ratioActive return / tracking errorActive manager efficiency measure
Sharpe ratioExcess return per unit of total riskUses standard deviation
Treynor ratioExcess return per unit of beta riskUses systematic risk
Notes and examples

Correlation decision table

CorrelationDiversification effectExam interpretation
+1.0No volatility reduction from combining assetsAssets move perfectly together
Between 0 and +1Some diversification benefitCommon for many mainstream assets
0Better diversificationNo linear relationship
Between -1 and 0Strong diversification benefitAssets tend to move in opposite directions
-1.0Maximum theoretical diversificationPerfect offset possible with suitable weights

Portfolio theory and asset allocation

Modern portfolio theory

ConceptMeaningExam point
Efficient frontierPortfolios offering highest expected return for each risk levelRational investors choose efficient portfolios
Dominated portfolioSame risk with lower return, or same return with higher riskShould be rejected
Risk-free assetAsset with certain return in theoryUsed in CAPM and capital market line concepts
Capital market lineEfficient portfolios combining market portfolio and risk-free assetUses total risk/standard deviation
Security market lineCAPM relationship between beta and expected returnUses systematic risk/beta
Market portfolioPortfolio of all risky assets in theoryCAPM benchmark concept
Beta above 1More volatile than market in systematic risk termsExpected to rise/fall more than market
Beta below 1Less market-sensitiveDefensive relative to market
Negative betaMoves opposite to market in theoryRare; useful diversification concept
Notes and examples

Asset allocation decisions

DecisionMeaningTypical exam clue
Strategic asset allocationLong-term neutral allocation based on objectives and risk profileCore plan, long-term target weights
Tactical asset allocationShorter-term deviation from strategic weightsMarket views, temporary overweight/underweight
RebalancingRestoring target allocationControls drift and risk exposure
Active managementAttempts to outperform benchmarkManager skill, higher costs, tracking error
Passive managementTracks index/benchmarkLower cost, market return, tracking error focus
Core-satellitePassive/core exposure plus active/specialist satellitesBalance cost control and alpha-seeking
Liability matchingAssets chosen to match timing/nature of liabilitiesBonds/index-linked bonds for known liabilities
Income strategyPrioritises income generationBonds, equity income, property, but check capital risk
Growth strategyPrioritises capital appreciationEquities and higher-risk assets, longer horizon
Absolute return strategySeeks positive return in varied marketsNot risk-free; strategy and manager risk matter

Expected return and risk

Expected return is the probability-weighted average of possible outcomes.

\[ E(R) = \sum p_i r_i \]

Where \(p_i\) is the probability of outcome \(i\), and \(r_i\) is the return in that outcome.

Diversification

Diversification works by combining assets whose returns do not move perfectly together. The purpose is not to guarantee gains, but to improve the balance between risk and expected return.

Portfolio issueBetter approach
Holding many shares in the same sectorDiversify across sectors, regions, and asset classes
Adding high-risk assets randomlyCheck correlation and portfolio role
Focusing only on expected returnConsider risk, liquidity, horizon, and objectives
Over-diversifying into identical exposuresLook through to underlying holdings

Asset allocation levels

LevelMeaning
Strategic asset allocationLong-term mix aligned to objectives and risk profile
Tactical asset allocationShort-term adjustment based on market views
Stock/security selectionChoice of individual holdings within asset classes
RebalancingRestoring the portfolio to target allocations

Strategic asset allocation is often the dominant driver of long-term portfolio risk and return.

Efficient frontier

The efficient frontier represents portfolios offering the highest expected return for a given level of risk, or the lowest risk for a given expected return.

Key exam points:

  • A portfolio below the efficient frontier is inefficient.
  • Diversification can improve the risk/return trade-off.
  • The “best” portfolio depends on the investor’s risk tolerance and objectives.
  • The efficient frontier relies on assumptions that may not hold in real markets.

Capital Asset Pricing Model

CAPM links expected return to market risk:

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

Where:

  • \(E(R_i)\) = expected return of investment \(i\);
  • \(R_f\) = risk-free rate;
  • \(\beta_i\) = beta of investment \(i\);
  • \(E(R_m) - R_f\) = market risk premium.

Beta

BetaInterpretation
1.0Moves broadly in line with the market
Above 1.0More volatile/sensitive than the market
Below 1.0Less volatile/sensitive than the market
NegativeTends to move opposite to the market, in theory

Trap: beta measures sensitivity to market movements, not total risk, liquidity risk, or default risk.

Alpha

Alpha is the excess return above what would be expected for the level of market risk taken. Positive alpha suggests outperformance after adjusting for beta, but it may not persist.

Client risk and suitability logic

Suitability factorWhat it asksInvestment implication
ObjectiveWhat is the money for?Defines return target, liquidity, time horizon
Time horizonWhen is money needed?Short horizon reduces tolerance for volatility
Emergency reserveIs cash needed before investing?Illiquid/risky investments unsuitable for near-term needs
Attitude to riskPsychological willingness to accept riskMust be aligned with recommended portfolio
Capacity for lossFinancial ability to withstand lossCan override stated high attitude to risk
Need to take riskReturn required to meet goalHigh need may require revising objectives if capacity is low
Knowledge and experienceUnderstanding of products and risksComplex products require stronger evidence of understanding
Tax positionHow returns are taxed for the clientInfluences wrapper/product selection
Existing holdingsCurrent asset allocation/concentrationAvoid duplicated or concentrated exposure
ChargesExplicit and implicit costsHigher charges require justification through value/service
Liquidity needsAccess requirementsAvoid locking into illiquid assets if access needed
Ethical/ESG preferencesRestrictions or preferencesMust be reflected in suitable solution where relevant
Notes and examples

Suitability red flags

Scenario clueLikely concern
Short-term house depositAvoid high volatility and illiquidity
Retired client dependent on withdrawalsSequence risk, income sustainability, capacity for loss
Single-company share concentrationUnsystematic and concentration risk
High stated risk appetite but no spare capitalCapacity for loss problem
Low knowledge client offered complex derivative productComplexity and understanding issue
Need for guaranteed capital but equity fund recommendedMismatch between objective and product risk
Long horizon and high inflation concernCash may be unsuitable as sole holding
Client requires immediate access but property fund proposedLiquidity mismatch

Economics and market environment

FactorIf rising/increasingLikely investment effectExam nuance
InflationPurchasing power fallsCash/fixed coupon bonds less attractive in real termsIndex-linked assets may help but are not risk-free
Interest ratesDiscount rates riseBond prices usually fall; equity valuations may face pressureFloating-rate assets less sensitive than fixed-rate bonds
Economic growthCorporate profits may improveEquities and credit-sensitive assets may benefitOverheating can lead to inflation/rate rises
UnemploymentConsumer demand may weakenCyclical equities may sufferCan influence monetary/fiscal policy
Exchange rate strengthDomestic currency appreciatesOverseas asset returns translated back may fallExporters may be hurt; importers may benefit
Fiscal expansionGovernment spending/tax cuts riseCan support growth but affect borrowing/inflationSector impact varies
Monetary tighteningRates rise/liquidity reducesBonds fall, growth assets pressuredOften used to control inflation
Monetary easingRates fall/liquidity increasesBonds rise, risk assets may benefitMay signal weak economy
Commodity price risesInput costs increaseProducers may benefit; consumers may sufferInflationary pressure possible
Credit spreads widenMarket demands more credit compensationCorporate bond prices fallOften signals risk aversion/default concern
Notes and examples

Yield curve shapes

Yield curveDescriptionCommon interpretation
Normal/upward slopingLonger yields higher than shorter yieldsCompensation for time, inflation uncertainty, liquidity preference
FlatShort and long yields similarUncertain transition point in rate/economic expectations
InvertedShort yields higher than long yieldsMarket may expect future rate cuts or economic weakness
HumpedMedium maturities higher than short and longSpecific maturity expectations or supply/demand effects

Theories behind yield curves

TheoryCore ideaExam clue
Expectations theoryLong yields reflect expected future short ratesFocus on market rate expectations
Liquidity preference theoryInvestors demand extra yield for longer maturitiesExplains upward slope bias
Market segmentation theoryYields set by supply/demand in each maturity segmentPension funds, insurers, banks prefer different maturities
Preferred habitat theoryInvestors prefer maturities but will shift if compensatedBlends maturity preference with yield incentives

Core economic indicators

IndicatorWhat it measuresTypical investment relevanceCommon trap
InflationGeneral rise in pricesErodes real returns; may push interest rates higherConfusing nominal return with real return
Interest ratesCost of borrowing / reward for savingMajor driver of bond prices, cash returns, discount rates, and equity valuationsForgetting bond prices move inversely to yields
GDP growthEconomic output growthSupports corporate earnings and confidence, but markets may price this in earlyAssuming strong GDP always means strong equity returns
UnemploymentLabour market strengthLow unemployment may support demand but increase wage inflationTreating unemployment data as isolated from inflation and rates
Exchange ratesRelative currency valuesAffects overseas investments and import/export businessesIgnoring currency risk on overseas assets
Fiscal policyGovernment tax/spendingCan stimulate or restrain economic activityAssuming fiscal policy affects all sectors equally
Monetary policyCentral bank interest rates / money supplyInfluences borrowing, inflation expectations, asset valuationsThinking rate cuts are automatically good for every asset

Inflation and real return

The real return adjusts nominal return for inflation:

\[ 1 + r_{\text{real}} = \frac{1 + r_{\text{nominal}}}{1 + i} \]

For quick estimates, use:

\[ r_{\text{real}} \approx r_{\text{nominal}} - i \]

Example: if an investment earns 5% and inflation is 3%, the approximate real return is 2%. The exact real return is slightly below 2%.

Interest rates and bond prices

The core relationship:

  • Interest rates / yields rise → existing bond prices generally fall.
  • Interest rates / yields fall → existing bond prices generally rise.

Why? Existing fixed coupons become less attractive when new bonds offer higher yields, and more attractive when new bonds offer lower yields.

Yield curve shapes

Yield curve shapeDescriptionCommon interpretation
Normal / upward slopingLonger maturities yield more than shorter maturitiesExpected growth, inflation risk, term premium
FlatShort and long yields similarUncertainty or transition in rate expectations
InvertedShort yields higher than long yieldsPossible slowdown/recession expectations or tight monetary policy
HumpedMedium maturities highestMarket expects rates to change over time

Exam traps on economics

  • Inflation risk is not the same as capital loss risk. Cash may preserve nominal capital but lose purchasing power.
  • High inflation can hurt fixed-interest securities because fixed coupons become less valuable in real terms.
  • Interest rate sensitivity is usually greater for longer-dated bonds and lower-coupon bonds.
  • Currency movements can dominate overseas returns when translated back into sterling.
  • Economic data and market returns are not perfectly synchronised. Markets often move on expectations.

Markets, indices, and dealing terms

TermMeaningExam point
Primary marketNew securities issued to investorsIPOs, new bond issues, rights issues
Secondary marketExisting securities tradedProvides liquidity and price discovery
Bid pricePrice at which investor can sellLower side of spread
Offer/ask pricePrice at which investor can buyHigher side of spread
Bid-offer spreadDifference between buy and sell pricesWider spread increases dealing cost
Market orderDeal immediately at available priceExecution certainty, price uncertainty
Limit orderDeal only at specified price or betterPrice control, execution uncertainty
Stop-loss orderSell trigger if price falls to levelMay not guarantee exact price in fast markets
Ex-dividend dateBuyer no longer entitled to next dividendShare price often adjusts downward
SettlementCompletion of trade/payment and deliveryDistinct from trade date
CRESTUK electronic settlement system conceptSettlement infrastructure term
Market makerProvides bid/offer pricesSupports liquidity, earns spread
Order-driven marketBuyers/sellers matched through order bookPrice from orders rather than quoted market maker prices
Quote-driven marketMarket makers quote pricesCommon exam contrast with order-driven systems
Notes and examples

Index construction

Index typeHow it worksTrap
Price-weightedHigher-priced shares have more influencePrice per share, not company size, drives weight
Market-cap weightedLarger companies have more influenceDominated by large constituents
Equal-weightedEach constituent has same weightRequires more rebalancing
Total return indexIncludes reinvested incomeBetter measure of full investor return
Price indexExcludes incomeUnderstates total return where dividends are material

Tax-aware investment logic

Tax rules, allowances, and rates can change. For CII R02, use the current CII material for examinable figures. The decision logic below is usually more durable than numeric thresholds.

Return typeCommon tax categoryPlanning implication
Deposit interestSavings incomeWrapper use may improve net return depending on client position
Bond interest/couponsInterest incomeIncome tax treatment often central to net yield
Equity dividendsDividend incomeDividend tax treatment differs from interest
Capital growth on saleCapital gains treatmentRealised gains/losses and allowances matter
Rental/property fund incomeProperty income or fund-specific treatmentCheck vehicle structure
Offshore fundsReporting status and distribution treatment can matterTax treatment depends on fund classification
Pension wrapper returnsTax-advantaged retirement environmentAccess and tax treatment depend on pension rules
ISA wrapper returnsTax-advantaged savings/investment environmentEligibility and limits must be checked from current material
Notes and examples

Tax traps

TrapCorrect approach
Comparing gross yields onlyCompare net return after tax, charges, and inflation
Assuming all fund distributions are dividendsBond funds and other structures may produce interest-type distributions
Ignoring capital gainsTotal return includes both income and capital change
Using outdated allowance figuresUse current CII examinable tax-year data
Treating wrapper choice as product choiceWrapper determines tax environment; underlying investment determines risk/return

Product-selection cues

Client needMore likely suitableLess likely suitableReason
Emergency cashInstant-access cash deposit/money market exposureEquities, property, long-dated bondsLiquidity and low volatility required
Known liability in near termCash or short-dated high-quality fixed interestHigh-volatility growth assetsCapital timing matters
Inflation-linked long-term liabilityIndex-linked bonds, real assets, diversified growth assetsSole reliance on cash/fixed nominal incomeNeed real purchasing power
Long-term growthDiversified equities, multi-asset growth fundsCash-only strategyTime horizon can support volatility
Natural incomeBonds, equity income, property income fundsPure growth funds if income requiredCash-flow objective
Capital preservation with some returnHigh-quality short/medium bonds, cautious multi-assetConcentrated equities, derivativesRisk control
Ethical restrictionESG/ethical screened funds or portfoliosUnscreened broad exposure if conflicts with mandatePreference must be reflected
High tax sensitivityAppropriate tax wrapper/product structureTax-inefficient unwrapped holdings without reasonNet return matters
Need for diversification with small amountCollective funds/ETFsDirect portfolio of a few sharesReduces specific risk
Sophisticated hedgeOptions/futures/swaps where appropriateUnhedged exposureDerivatives can reduce risk if used correctly

Common CII R02 traps checklist

  • Coupon is not yield: coupon is based on nominal value; yield depends on market price and redemption assumptions.
  • Bond prices move inversely to yields: rising rates normally reduce fixed-rate bond prices.
  • Running yield ignores capital gain/loss: redemption yield is broader.
  • Long duration means higher interest rate sensitivity.
  • Cash is not risk-free in real terms because inflation can erode purchasing power.
  • Diversification reduces specific risk, not all risk.
  • Correlation matters more than number of holdings for diversification quality.
  • High return may reflect high risk, not necessarily superior value.
  • Past performance is not a reliable guide to future returns.
  • Arithmetic average is not the same as compound return.
  • Standard deviation measures volatility, not liquidity, credit, or fraud risk.
  • Beta measures market risk, not total risk.
  • Sharpe uses standard deviation; Treynor uses beta.
  • Alpha must be judged against required risk-adjusted return, not just absolute return.
  • Investment trust discount/premium is separate from portfolio NAV performance.
  • Open-ended property funds can face liquidity pressure because underlying assets are illiquid.
  • Derivative buyer has rights; writer has obligations.
  • Covered call caps upside even though it generates premium income.
  • Protective put costs premium but limits downside.
  • Tax wrapper does not remove investment risk.
  • Capacity for loss can override attitude to risk in suitability scenarios.
Notes and examples

Final quick checklist

Before your next practice session, confirm you can explain:

  • why bond prices fall when yields rise;
  • the difference between nominal and real return;
  • the difference between market risk and specific risk;
  • how diversification works through correlation;
  • when cash can still be risky;
  • why high yield may indicate high risk;
  • the role of duration in bond sensitivity;
  • the difference between alpha, beta, Sharpe ratio, and tracking error;
  • the difference between time-weighted and money-weighted returns;
  • how asset allocation links to objectives, time horizon, risk tolerance, and capacity for loss.

For the next step, use this Cheat Sheet as a checklist, then move into independent companion practice with topic drills, original practice questions, mock exams, and detailed explanations for CII R02 - Investment Principles and Risk.

Rapid revision workflow

  1. Identify the asset class: cash, bond, equity, property, collective, derivative, alternative.
  2. Identify the return source: interest, coupon, dividend, rent, capital gain, derivative payoff.
  3. Identify the dominant risk: market, credit, inflation, liquidity, currency, interest rate, concentration.
  4. Check time horizon and liquidity: short-term money should not carry unnecessary volatility or illiquidity.
  5. Check tax/net return: gross return may not be the client’s actual return.
  6. Apply the formula only after confirming the wording: income-only, total return, nominal, real, expected, or risk-adjusted.
  7. Use suitability hierarchy: objective, time horizon, capacity for loss, attitude to risk, tax, existing holdings, charges.
  8. Watch for absolute words: “guaranteed”, “risk-free”, “always”, and “never” are often distractors.

Final practice prompt

Next step: work a mixed set of CII R02 calculation and scenario questions, then mark every error by category: formula selection, asset-class feature, risk concept, tax treatment, or suitability judgement.

High-yield exam mindset

CII R02 questions often test whether you can apply principles, not simply recall definitions. When reading a question, identify:

  1. The investor objective — income, growth, capital preservation, liquidity, inflation protection, tax efficiency, or ethical preference.
  2. The time horizon — short-term security and liquidity usually dominate; longer horizons allow more volatility.
  3. The risk being tested — market, inflation, default, interest rate, liquidity, currency, concentration, or sequencing risk.
  4. The investment feature — ownership, lending, pooling, gearing, diversification, active management, passive tracking, or derivative exposure.
  5. The measure required — yield, return, duration, beta, alpha, Sharpe ratio, volatility, or correlation.

A common mistake is choosing the investment with the highest expected return when the question is really asking for the most suitable risk-adjusted or objective-matched answer.

Main asset classes

Cash and money market instruments

FeatureReview point
Main roleLiquidity, capital stability, short-term needs
Return sourceInterest
Key risksInflation risk, reinvestment risk, counterparty risk
StrengthLow volatility and accessible funds
WeaknessReal returns may be low or negative after inflation
Notes and examples

Cash is often suitable for emergency reserves, short-term commitments, and low-risk needs. It is not automatically “risk free” because inflation can reduce purchasing power.

Fixed-interest securities

A bond is essentially a loan to an issuer. The investor receives interest and expects repayment of capital at maturity, subject to issuer creditworthiness.

ConceptMeaning
CouponRegular interest payment, often fixed
Nominal / par valueAmount generally repaid at maturity
Market pricePrice at which the bond trades
Running yieldAnnual coupon divided by current price
Redemption yield / yield to maturityOverall annualised return if held to maturity, allowing for income and capital gain/loss
Credit ratingIndicator of issuer default risk
DurationApproximate sensitivity to interest rate changes

Bond price sensitivity

Duration provides an approximate measure of price sensitivity:

\[ \%\Delta P \approx -D \times \Delta y \]

Where \(D\) is duration and \(\Delta y\) is the change in yield.

If duration is 6 and yields rise by 1%, the approximate price change is -6%.

Government bonds and corporate bonds

Bond typeTypical featureMain additional risk
Government bondsOften viewed as lower default risk for developed sovereign issuersInterest rate and inflation risk remain
Corporate bondsIssued by companies; usually higher yield than comparable government bondsCredit/default risk
High-yield bondsLower credit quality; higher potential yieldGreater default and liquidity risk
Index-linked bondsPayments linked to inflation measureReal yield and indexation complexity

Equities

Equities represent ownership in a company. Returns come from dividends and capital growth.

FeatureReview point
Main roleLong-term growth and potential inflation protection
Return sourceDividends and capital appreciation
Key risksMarket risk, company-specific risk, liquidity risk, currency risk for overseas equities
StrengthLong-term growth potential
WeaknessHigher volatility and possible capital loss

Equity valuation basics

MeasureMeaningTrap
Dividend yieldDividend per share / share priceHigh yield may signal distress, not just value
P/E ratioShare price / earnings per shareA low P/E is not automatically cheap if earnings are falling
Earnings per shareProfit attributable to each shareAccounting profits are not the same as cash flow
Market capitalisationShare price × number of sharesSize does not remove investment risk

Property

Property exposure may be direct or indirect through funds or securities.

FeatureDirect propertyProperty funds / securities
LiquidityUsually lowUsually higher, but can still be restricted
DiversificationRequires significant capitalEasier diversification
ValuationLess frequent and less transparentMarket price may move daily
IncomeRentDistributions/dividends
RisksVoid periods, maintenance, location, valuationMarket risk, liquidity risk, fund structure risk

Alternative investments

Alternatives can include commodities, hedge funds, private equity, infrastructure, structured products, and derivatives-based strategies.

AlternativePotential roleKey risk
CommoditiesInflation sensitivity, diversificationNo income, volatility, storage/roll effects
Hedge fundsAbsolute-return objective or specialist strategyComplexity, liquidity, manager risk
Private equityLong-term growth from unlisted businessesIlliquidity, valuation uncertainty
InfrastructureLong-term income/growth characteristicsPolitical, regulatory, project risk
Structured productsDefined payoff profileCounterparty risk and complexity

Exam questions often test whether the candidate recognises that “alternative” does not mean “low risk”.

Investment mathematics and returns

Simple and compound returns

Simple interest applies only to the original capital. Compound interest earns returns on previous returns.

Future value:

\[ FV = PV(1+r)^n \]

Present value:

\[ PV = \frac{FV}{(1+r)^n} \]
  • \(PV\) = present value;
  • \(FV\) = future value;
  • \(r\) = annual rate;
  • \(n\) = number of periods.

Arithmetic versus geometric return

Return measureUseTrap
Arithmetic meanSimple average of periodic returnsOverstates long-term compounded return when returns vary
Geometric meanCompounded average returnBetter for multi-period investment growth

For volatile returns, the geometric mean is usually lower than the arithmetic mean.

Money-weighted and time-weighted returns

MeasureWhat it capturesBest use
Money-weighted returnInvestor’s actual return allowing for timing and size of cash flowsEvaluating investor experience
Time-weighted returnManager performance excluding impact of external cash flowsComparing investment managers

Trap: if the question asks about manager skill, time-weighted return is usually more appropriate.

Nominal and real returns

ReturnMeaning
Nominal returnReturn before inflation adjustment
Real returnReturn after inflation adjustment

If an investor earns 4% while inflation is 5%, nominal wealth has increased, but real purchasing power has fallen.

Performance and risk-adjusted measures

Key measures

MeasurePlain-English meaningTypical use
Total returnIncome plus capital growthOverall performance
VolatilityVariability of returnsRisk comparison
Sharpe ratioExcess return per unit of total riskComparing diversified portfolios
Treynor ratioExcess return per unit of betaComparing portfolios using systematic risk
AlphaReturn above risk-adjusted expectationAssessing manager value added
Tracking errorDeviation from benchmark returnsPassive fund and active risk review
Information ratioActive return per unit of tracking errorManager skill versus benchmark risk
Maximum drawdownPeak-to-trough fallDownside experience
YieldIncome relative to price/valueIncome comparison
Notes and examples

Sharpe ratio

\[ \text{Sharpe ratio} = \frac{R_p - R_f}{\sigma_p} \]
  • \(R_p\) = portfolio return;
  • \(R_f\) = risk-free return;
  • \(\sigma_p\) = portfolio standard deviation.

Higher Sharpe ratio generally indicates better risk-adjusted return, but comparisons are most meaningful between similar investments and time periods.

Information ratio

\[ \text{Information ratio} = \frac{R_p - R_b}{\text{tracking error}} \]
  • \(R_p\) = portfolio return;
  • \(R_b\) = benchmark return.

This is useful when assessing active managers against a benchmark.

Performance traps

  • A higher return is not automatically better if it required much higher risk.
  • A fund can outperform its benchmark but still lose money.
  • A passive fund can have tracking error because of costs, timing, sampling, and cash drag.
  • A high yield may reflect falling capital value or increased default risk.
  • Past performance does not prove future performance.

Derivatives and structured exposures

Derivatives derive their value from an underlying asset, index, interest rate, or other variable.

Core derivative types

InstrumentBasic ideaCommon use
ForwardCustom agreement to buy/sell later at agreed priceCurrency or commodity hedging
FutureStandardised exchange-traded forward-style contractHedging or efficient exposure
OptionRight, not obligation, to buy/sellProtection or leveraged exposure
SwapExchange of cash flowsInterest rate or currency management
Notes and examples

Calls and puts

OptionHolder’s right
Call optionRight to buy
Put optionRight to sell

Memory aid: call up if you want upside participation; put down if you want downside protection.

Derivative exam traps

  • Options give the holder a right, not an obligation.
  • The option writer has the obligation if the option is exercised.
  • Derivatives can reduce risk when used for hedging, but increase risk when used for speculation or gearing.
  • Structured products may have capital protection features but still carry counterparty, liquidity, inflation, and opportunity-cost risk.

Gearing, leverage, and short selling

Gearing

Gearing means using borrowing or derivative exposure to magnify investment outcomes.

Market movementEffect of gearing
FavourableGains magnified
UnfavourableLosses magnified

Gearing increases volatility and can create losses greater than the original stake in some structures.

Short selling

Short selling aims to profit from a fall in price. The investor sells an asset they do not own, intending to buy it back later at a lower price.

Key risks:

  • losses can be substantial if the price rises;
  • borrowing costs may apply;
  • the position may need to be closed at an unfavourable time;
  • market liquidity may disappear.

Ethical, sustainable, and responsible investment

Exam questions may test the difference between approaches.

ApproachTypical meaning
Negative screeningExcluding certain sectors or companies
Positive screeningSelecting companies with favourable characteristics
Best-in-classChoosing stronger performers within each sector
ESG integrationIncluding environmental, social, and governance factors in analysis
Impact investingSeeking measurable positive social/environmental impact as well as financial return
EngagementUsing ownership influence to encourage change

Trap: ethical investing is not automatically lower risk or lower return. Outcomes depend on the strategy, diversification, costs, and market conditions.

Client suitability decision points

Matching objective to asset type

Client needMore likely to fitBe cautious with
Emergency reserveCash / instant access depositsVolatile or illiquid investments
Short-term known expenseCash or low-volatility short-duration assetsEquities, property, long-dated bonds
Long-term growthDiversified equities and growth assetsExcessive cash exposure
Regular incomeBonds, equity income, property income, multi-asset incomeChasing yield without assessing risk
Inflation protectionEquities, real assets, index-linked exposureFixed nominal cash/bonds only
Capital preservationCash, short-duration high-quality bonds, cautious diversified portfoliosHigh gearing, concentrated equities
Ethical preferenceSuitable screened/ESG/impact fundsAssuming label alone guarantees suitability
Notes and examples

Capacity for loss versus attitude to risk

ConceptMeaning
Attitude to riskPsychological willingness to accept volatility/loss
Capacity for lossFinancial ability to withstand loss without failing objectives
Risk requiredRisk needed to have a realistic chance of meeting goals
Risk toleranceOverall acceptable risk after considering attitude, capacity, and need

A client may be willing to take high risk but have low capacity for loss. In suitability questions, capacity can constrain the recommendation.

Time horizon

Time horizonInvestment implication
Very short termLiquidity and capital stability dominate
Medium termSome risk may be acceptable depending on objective
Long termGreater ability to tolerate volatility, but not unlimited risk

Trap: a long time horizon does not automatically make a high-risk investment suitable if the client cannot tolerate or afford losses.

Common CII R02 calculation traps

Check the wording before calculating

WordingLikely action
“Real return”Adjust for inflation
“Total return”Include income and capital growth
“Running yield”Coupon / current price
“Redemption yield”Allow for income and gain/loss to maturity
“Approximate price change”Use duration × yield change
“Risk-adjusted”Use Sharpe, Treynor, alpha, or information ratio as appropriate
“Manager performance”Consider time-weighted return
“Investor return”Consider money-weighted return
Notes and examples

Percentage changes

A fall of 20% requires a 25% gain to recover:

\[ \frac{1}{1 - 0.20} - 1 = 0.25 \]

Do not assume equal percentage falls and rises cancel each other out.

Income yield versus total return

If an investment yields 4% but the capital value falls by 6%, the total return is approximately -2% before compounding and charges.

Bond price above or below par

Bond priceCoupon versus market yield implication
Above parCoupon likely higher than current market yield
Below parCoupon likely lower than current market yield
At parCoupon roughly equal to market yield, if near issue/maturity assumptions are simple

Quick decision workflow

    flowchart TD
	    A[Read the question stem] --> B{What is being tested?}
	    B --> C[Asset class feature]
	    B --> D[Risk type]
	    B --> E[Calculation]
	    B --> F[Suitability]
	    C --> G[Identify income, growth, liquidity, volatility]
	    D --> H[Match risk to scenario]
	    E --> I[Select formula and units]
	    F --> J[Check objective, horizon, ATR, capacity, liquidity]
	    G --> K[Eliminate answers that ignore constraints]
	    H --> K
	    I --> K
	    J --> K
	    K --> L[Choose the most complete answer]

Common candidate mistakes

Concept mistakes

  • Treating cash as risk free in real terms.
  • Assuming all bonds are low risk.
  • Forgetting that longer-duration bonds are more interest-rate sensitive.
  • Confusing credit risk with interest rate risk.
  • Thinking diversification removes all risk.
  • Treating volatility as the only type of investment risk.
  • Assuming overseas diversification removes currency risk.
  • Ignoring liquidity risk in property and alternative investments.
  • Confusing active return with total return.
  • Assuming ESG or ethical funds are automatically suitable.
Notes and examples

Calculation mistakes

  • Using nominal return when real return is required.
  • Mixing percentages and decimals.
  • Forgetting that bond prices and yields move in opposite directions.
  • Using arithmetic average when compounded return is being tested.
  • Comparing Sharpe ratios calculated over different assumptions without caution.
  • Failing to include income when total return is requested.
  • Rounding too early in multi-step calculations.

Question technique mistakes

  • Answering the question you expected, not the question asked.
  • Overlooking words such as “most suitable,” “least likely,” “except,” and “primarily.”
  • Choosing an answer that is true in general but not best for the client scenario.
  • Ignoring the time horizon or liquidity need.
  • Failing to distinguish between risk tolerance and capacity for loss.

Rapid review tables

Asset class comparison

Asset classIncome potentialGrowth potentialLiquidityMain risks
CashLow to moderateLowHighInflation, reinvestment, counterparty
Government bondsFixed/known incomeModerate price movementUsually high for major issuesInterest rate, inflation
Corporate bondsFixed incomeModerateVariesCredit, interest rate, liquidity
EquitiesDividends variableHigher long-term potentialUsually high for listed sharesMarket, specific, volatility
PropertyRental incomeModerate growth potentialLow to moderateLiquidity, valuation, tenant risk
AlternativesVaries widelyVaries widelyOften lowerComplexity, liquidity, valuation
Notes and examples

Risk measure comparison

MeasureFocusBest interpretation
Standard deviationTotal volatilityHow widely returns vary
BetaMarket sensitivityHow much the asset moves with market risk
AlphaRisk-adjusted excess returnPossible manager value added
Sharpe ratioExcess return / total riskRisk-adjusted performance for diversified portfolios
Treynor ratioExcess return / betaReturn per unit of systematic risk
Tracking errorBenchmark deviationHow closely fund follows benchmark
Information ratioActive return / active riskConsistency of benchmark outperformance

Suitability red flags

Scenario clueRed flag
Needs money within monthsEquity/property/long-term volatile asset may be unsuitable
Cannot afford lossHigh-risk investments may fail capacity for loss test
Wants income but low riskAvoid chasing high yield without credit/liquidity review
Concerned about inflationExcessive cash or fixed nominal income may be problematic
Wants ethical investingNeed to check method, holdings, diversification, and costs
Large holding in employer sharesConcentration and employment-income correlation risk
Overseas investmentCurrency risk and geopolitical risk

Put the review into practice