CISI IRT — CISI Investment, Risk and Taxation Quick Reference

Compact exam-prep reference for CISI Investment, Risk and Taxation: investment products, risk measures, formulas, and UK tax logic.

How to Use This Quick Reference

This page supports candidates preparing for the Chartered Institute for Securities & Investment CISI Investment, Risk and Taxation exam, official code CISI IRT. It is independent review support, not a Chartered Institute for Securities & Investment publication.

Use it to rehearse:

  • Product selection: cash, bonds, equities, funds, derivatives, structured products, pensions, wrappers.
  • Risk identification: market, credit, liquidity, inflation, currency, concentration, counterparty, tax.
  • Calculation logic: return, yield, volatility, beta, diversification, after-tax return.
  • UK taxation treatment: income, gains, wrappers, pensions, inheritance, allowances and reliefs.
  • Exam traps: nominal vs real, income vs capital, pre-tax vs after-tax, risk tolerance vs capacity for loss.

For tax rates, allowances, thresholds and contribution limits, use the current CISI syllabus materials or tax table supplied for your sitting.

Exam Decision Lenses

LensAsk firstHigh-yield exam focus
Investment objectiveIncome, growth, capital preservation, speculation, tax efficiency?Product suitability depends on objective, term, liquidity need and risk capacity.
ReturnIs return income, capital growth or total return?Total return includes both income and price movement after costs and tax.
RiskWhich risk is being tested?Do not treat “higher expected return” as suitable unless risk and capacity match.
TaxIs it income, gain, wrapper benefit, pension treatment or estate planning?The same investment can rank differently before and after tax.
Time horizonShort, medium or long term?Volatile assets are harder to justify for short-term known liabilities.
LiquidityIs access needed?Property, structured products, pensions and some alternatives may be unsuitable where liquidity is essential.
DiversificationIs risk specific or systematic?Diversification reduces unsystematic risk, not market-wide risk.

Core Formula Sheet

Return, Real Return and Compounding

\[ \text{Holding period return} = \frac{P_1 - P_0 + I - C}{P_0} \]

Where \(P_0\) is initial price, \(P_1\) is final price, \(I\) is income received and \(C\) is costs.

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

Where \(\pi\) is inflation.

\[ \text{Geometric mean return} = \left(\prod_{t=1}^{n}(1+r_t)\right)^{1/n}-1 \]
Formula areaUsePlain formulaTrap
Holding period returnSingle-period total return(ending value - starting value + income - costs) / starting valueDo not ignore income or dealing costs.
Simple annualisationApproximation for short periodsperiod return × periods per yearNot reliable for volatile multi-period returns.
Geometric returnCompounded multi-period returnproduct of (1 + returns), then nth root minus 1Usually lower than arithmetic average when returns vary.
Real returnInflation-adjusted return((1 + nominal return) / (1 + inflation)) - 1Nominal return can be positive while real return is negative.
After-tax returnNet investor outcomeafter-tax income and gains less costs, divided by initial valueTax can reverse product ranking.
Money-weighted returnInvestor-specific returnIRR including cash-flow timingAffected by when client invested or withdrew money.
Time-weighted returnManager performancechain-linked sub-period returnsRemoves effect of external cash flows.

Risk and Portfolio Formulas

\[ E(R)=\sum p_iR_i \]\[ \sigma^2=\sum p_i(R_i-E(R))^2 \]\[ \sigma_p^2 = w_A^2\sigma_A^2 + w_B^2\sigma_B^2 + 2w_Aw_B\rho_{AB}\sigma_A\sigma_B \]\[ E(R_i)=R_f+\beta_i(E(R_m)-R_f) \]\[ \alpha_i=R_i-\left[R_f+\beta_i(R_m-R_f)\right] \]
MeasureMeaningPlain formulaExam use
VarianceDispersion of returnsprobability-weighted squared deviationsUnits are squared, so less intuitive than standard deviation.
Standard deviationVolatility around expected returnsquare root of varianceCommon measure of total risk.
CorrelationCo-movement between assetscovariance divided by product of standard deviationsRanges from -1 to +1. Lower correlation improves diversification.
BetaSensitivity to market movementscovariance with market / market varianceBeta above 1 means more market-sensitive than market portfolio.
CAPM expected returnRequired return for systematic riskrisk-free rate + beta × market risk premiumUses systematic risk, not total risk.
AlphaReturn above/below CAPM expectationactual return - CAPM expected returnPositive alpha suggests outperformance after beta adjustment.
Sharpe ratioExcess return per unit of total riskreturn minus risk-free rate, divided by standard deviationUseful for diversified portfolios.
Information ratioActive return per unit of active riskactive return / tracking errorUseful for active fund evaluation.
Tracking errorVolatility of active returnsstandard deviation of fund return minus benchmark returnLow tracking error can still underperform benchmark.
Value at RiskExpected maximum loss at confidence level and horizonloss estimate under model assumptionsNot a worst-case loss; tail losses can exceed VaR.

Asset Class Selection Matrix

Asset classTypical return sourceKey risksWhen it may fitCommon traps
Cash depositsInterestInflation risk, bank/counterparty risk, reinvestment riskEmergency funds, short-term liabilities, capital stabilityCash is not risk-free in real terms if inflation exceeds interest.
Money market instrumentsDiscount or interestCredit, liquidity, interest-rate riskShort-term liquidity managementShort maturity reduces but does not eliminate risk.
Government bondsCoupons and redemption valueInterest-rate, inflation, reinvestment, sovereign riskIncome, liability matching, diversification“Government” does not mean price cannot fall.
Index-linked bondsInflation-linked coupons/principalReal yield risk, duration risk, inflation-index lagInflation protection, real liability matchingLong duration can still create capital volatility.
Corporate bondsCoupons, spread tighteningCredit/default, spread, liquidity, interest-rate riskIncome with higher yield than government bondsHigher yield often reflects higher credit risk.
High-yield bondsHigh couponsDefault, liquidity, equity-like stress behaviourHigher income for risk-tolerant investorsCan fall sharply in downturns; not a cash substitute.
EquitiesDividends and capital growthMarket, business, liquidity, currency, dividend riskLong-term growth and inflation participationDividends are discretionary; capital is not protected.
PropertyRental income and capital growthLiquidity, valuation, tenant, leverage, concentrationIncome and diversification over longer horizonsDirect property can be slow and costly to sell.
CommoditiesPrice appreciationVolatility, storage/roll yield, currency, supply shocksDiversification or inflation sensitivityNo natural income unless accessed through specific structures.
Hedge funds/alternativesStrategy-dependentLeverage, liquidity, complexity, manager riskDiversification for sophisticated risk budgetsLow correlation is not guaranteed in market stress.
Structured productsFormula-based payoffCounterparty, liquidity, market, complexity, autocall riskDefined payoff profile where risks are understood“Capital protected” depends on terms and issuer strength.

Fixed Income Quick Reference

Bond Price and Yield

\[ \frac{\Delta P}{P} \approx -D_{\text{mod}}\Delta y \]
ConceptMeaningExam point
CouponInterest rate paid on nominal/par valueCoupon rate is not the investor’s yield unless bought at par and held under simple assumptions.
Current yieldAnnual coupon divided by market priceIgnores redemption gain/loss and time value.
Yield to redemption / gross redemption yieldDiscount rate equating price to present value of coupons and redemptionBetter all-in yield measure if held to maturity and coupons reinvested as assumed.
Clean priceQuoted price excluding accrued interestOften used in market quotations.
Dirty priceClean price plus accrued interestActual settlement amount normally reflects accrued interest.
Accrued interestCoupon earned since last payment dateBuyer compensates seller for interest earned before settlement.
DurationWeighted average timing of cash flows; interest-rate sensitivityLonger duration means greater price sensitivity to yield changes.
Modified durationApproximate percentage price change for yield changePrice moves inversely to yield.
ConvexityCurvature in price-yield relationshipDuration approximation is less accurate for large yield changes.
Credit spreadExtra yield over lower-risk benchmarkWider spread usually means higher perceived credit/default risk.

Duration Drivers

FactorEffect on durationReason
Longer maturityIncreases durationCash flows are received later.
Lower couponIncreases durationMore value comes from redemption at maturity.
Lower yieldUsually increases durationLater cash flows receive relatively more weight.
Floating-rate couponUsually lowers interest-rate sensitivityCoupon resets with market rates.
Callable featureAlters duration profileIssuer can redeem when favourable to issuer.

Bond Feature Traps

FeatureWho benefits most?Candidate warning
Callable bondIssuerInvestor faces reinvestment risk when rates fall.
Puttable bondInvestorInvestor may accept lower yield for protection.
Convertible bondInvestor gains equity option; issuer may pay lower couponCarries bond risk plus equity sensitivity.
Subordinated debtSenior creditors rank aheadHigher yield compensates for lower priority.
Secured debtLender has security over assetsSecurity reduces but does not remove credit risk.
Perpetual bondNo fixed redemption dateCan have high duration and price volatility.

Equity and Company Analysis

MeasurePlain formulaInterpretsTrap
Earnings per shareprofit attributable to ordinary shareholders / weighted average ordinary sharesProfit per shareEPS can rise due to buybacks even if total profit is flat.
Price/earnings ratiomarket price per share / EPSMarket price relative to earningsHigh P/E may reflect growth expectations or overvaluation.
Dividend yielddividend per share / market priceIncome return from dividendsA high yield can signal distress if price has fallen sharply.
Dividend coverEPS / dividend per shareAbility to pay dividend from earningsLow cover may suggest dividend vulnerability.
Net asset value per sharenet assets / sharesBalance-sheet value per shareNAV may not reflect market value of intangible growth.
Return on equityprofit after tax / shareholders’ equityProfitability on equity capitalHigh leverage can inflate ROE.
Gearingdebt relative to equity or capitalFinancial leverageIncreases both potential return and risk.
Corporate actionWhat happensExam point
Rights issueExisting shareholders can buy new shares, usually at discountNot taking up rights can dilute ownership.
Bonus/scrip issueAdditional shares issued from reservesWealth usually unchanged; share price adjusts.
Share splitMore shares with lower price per shareNo economic gain by itself.
BuybackCompany repurchases sharesCan increase EPS and return surplus capital.
DividendCash distributionCreates income tax issue, not capital gain on receipt.
Preference share dividendFixed/preferential dividendLess upside than ordinary shares; may have bond-like features.

Collective Investments and Fund Structures

StructurePricing/tradingKey featuresMain risks/traps
Unit trustOpen-ended; units created/cancelledTrustee structure, priced around NAVBid-offer spread or dilution adjustments can affect returns.
OEICOpen-ended investment companySingle-priced or dual-priced depending structureInvestor still bears market risk.
Investment trustClosed-ended company traded on exchangeCan trade at discount/premium to NAV; can use gearingShare price can move differently from underlying NAV.
ETFExchange-traded fundIntraday trading, often index-trackingTracking error, bid-offer spread and liquidity still matter.
Active fundManager selects securitiesPotential alphaHigher charges can erode returns; underperformance risk.
Passive/index fundTracks indexLow-cost market exposureTracks benchmark down as well as up.
Income units/sharesDistribute incomeUseful where income is requiredIncome may be taxable even if reinvested elsewhere.
Accumulation units/sharesReinvest income within fundUseful for compoundingReinvested income can still be taxable outside wrappers.

Derivatives and Structured Products

Option Payoff Basics

\[ \text{Long call payoff} = \max(S_T-K,0)-\text{premium} \]\[ \text{Long put payoff} = \max(K-S_T,0)-\text{premium} \]
PositionMarket viewMaximum lossUpsideMain use
Long callBullishPremium paidPotentially unlimitedLeveraged upside exposure.
Short callNeutral/bearishPotentially unlimitedPremium receivedIncome strategy; high risk if uncovered.
Long putBearish or protectivePremium paidIncreases as underlying fallsPortfolio insurance or speculation.
Short putNeutral/bullishLarge if underlying falls sharplyPremium receivedIncome strategy with obligation to buy.
Long futureBullishSymmetric losses possibleSymmetric gains possibleLock in purchase price or gain exposure.
Short futureBearish or hedge long exposureSymmetric losses possibleSymmetric gains possibleHedge sale price or reduce exposure.
TermMeaningTrap
Intrinsic valueImmediate exercise valueOut-of-the-money options have no intrinsic value but may have time value.
Time valuePremium above intrinsic valueFalls as expiry approaches, all else equal.
DeltaSensitivity to underlying priceNot constant; changes with moneyness and time.
GammaSensitivity of deltaImportant where positions are large or near expiry.
ThetaTime decayUsually hurts option buyers.
VegaSensitivity to volatilityHigher expected volatility generally increases option values.
MarginCollateral for potential lossesFutures and short options can require margin calls.
Counterparty riskOther party fails to performMore prominent in OTC derivatives and structured products.

Risk Taxonomy

Risk typeWhat it meansTypical trigger in questionMitigation or response
Market riskGeneral market price movements“Stock market fall”, “interest-rate rise”, “recession”Asset allocation, hedging, diversification across risk factors.
Specific/idiosyncratic riskIssuer or company-specific risk“Single share”, “one employer’s shares”Diversify holdings.
Systematic riskEconomy-wide risk that cannot be diversified away“Market beta”, “equity market exposure”Manage asset allocation or hedge; cannot remove by holding more similar assets.
Credit/default riskBorrower or issuer fails to pay“Corporate bond”, “counterparty failure”Credit quality analysis, diversification, collateral, limits.
Interest-rate riskBond prices fall when yields rise“Long-dated bond”, “duration”Shorter duration, floating-rate assets, matching liabilities.
Reinvestment riskFuture cash flows reinvested at lower rates“Callable bond”, “falling rates”Laddering, matching, non-callable bonds.
Inflation riskPurchasing power eroded“Fixed income”, “retirement spending”Real assets, index-linked securities, growth assets.
Liquidity riskCannot sell quickly without price concession“Property fund”, “thinly traded security”Liquid assets, cash reserve, appropriate horizon.
Currency riskExchange-rate movement affects value“Overseas investment”Currency hedging or matching currency to liabilities.
Concentration riskToo much exposure to one asset/sector“Inherited share portfolio”, “employer shares”Diversification plan.
Counterparty riskContracting party defaults“Structured note”, “OTC derivative”Credit assessment, collateral, regulated counterparties.
Operational riskProcess, system or human failure“Administration error”, “platform failure”Controls, reconciliation, governance.
Tax riskTax rules or status reduce expected return“Tax-efficient product”, “allowance exceeded”Verify wrapper, eligibility and current rules.
Sequence riskPoor returns early in withdrawal phase“Drawdown retirement income”Cash buffer, sustainable withdrawals, diversified income sources.

Suitability and Portfolio Construction

Client factorWhy it mattersProduct implications
Attitude to riskPsychological willingness to accept volatility or lossHigh-risk products are unsuitable if client cannot tolerate volatility.
Capacity for lossFinancial ability to absorb loss without harming objectivesMore important than stated risk appetite where essential goals are at stake.
Knowledge and experienceAbility to understand product complexityDerivatives, structured products and alternatives require extra care.
Time horizonTime available to recover from volatilityEquities and illiquid assets generally need longer horizons.
Liquidity needNeed for access to capitalAvoid lock-ins, illiquid assets and long settlement products where access is needed.
Income needRegular cash flow requirementConsider yield stability, tax status and capital erosion risk.
Tax statusMarginal rate, allowances, wrappersDetermines after-tax return and suitable account structure.
Existing assetsCurrent exposure and diversificationNew recommendation should consider total portfolio, not product in isolation.
Ethical preferencesRestrictions or preferencesScreened products may alter sector exposure and tracking error.

Asset Allocation Hierarchy

  1. Define objective and constraints.
  2. Set strategic asset allocation.
  3. Select tax wrapper or account structure.
  4. Choose product type.
  5. Choose underlying holdings or manager.
  6. Monitor risk, performance, costs and tax changes.

Exam trap: do not start with “best product” before identifying objective, risk capacity, time horizon and tax position.

Macroeconomic and Market Indicators

IndicatorUsually affectsInterpretation trap
Interest rates riseBond prices down; savings rates up; borrowing cost upLong-duration bonds are usually most sensitive.
Inflation risesReal returns fall; central bank may tighten policyFixed nominal income is vulnerable.
GDP growth strengthensCorporate earnings may improveMarkets may have already priced expectations.
Unemployment risesConsumer demand may weakenDefensive sectors may behave differently from cyclicals.
Currency strengthensOverseas assets translate into fewer domestic currency unitsHelps importers but may hurt exporters.
Yield curve steepensLonger yields rise relative to shorter yieldsMay indicate growth/inflation expectations, but context matters.
Yield curve invertsShort yields exceed long yieldsOften associated with tightening and recession concerns.
Credit spreads widenRisk appetite falls or default risk risesCorporate bond prices can fall even if government yields are stable.

Taxation Reference for CISI IRT

Tax questions are usually process questions: classify the receipt or disposal, identify the wrapper, apply the correct allowance or relief, then calculate the net result using the current exam figures.

Tax Calculation Workflow

StepQuestion to answerCommon exam trap
1. Identify taxpayerIndividual, spouse/civil partner, company, trust, estate?Do not mix tax positions between people.
2. Identify wrapperISA, pension, investment bond, general account, trust?Wrapper can change income tax and CGT treatment.
3. Classify returnInterest, dividend, property income, employment income, pension income, capital gain?Income and capital are taxed under different regimes.
4. Gross or net?Is amount before or after tax/charges?Net-to-gross questions often require careful reversal.
5. Apply allowancesPersonal, savings, dividend, CGT, pension, ISA, IHT bands as relevantUse the current CISI-provided tax table.
6. Apply rate bandsWhich band applies after ordering income correctly?Higher-rate taxpayers may prefer different wrappers.
7. Apply losses/reliefsCGT losses, pension relief, venture reliefs, business/property reliefs if relevantReliefs are often conditional.
8. Compute after-tax outcomeNet cash flow, tax due, net return or estate effectSuitability may change after tax.

Income, Gains and Wrappers

ItemUsual tax categoryExam point
Bank/building society interestSavings incomeTaxable unless sheltered; compare gross and net yield.
Bond couponSavings incomeCapital movement and coupon income are separate issues.
Equity dividendDividend incomeUse dividend tax rules and allowances from current materials.
Fund distributionInterest or dividend depending fund/typeCheck whether distribution is classified as interest or dividend.
Accumulation fund incomeUsually still treated as received/reinvested for tax outside wrappersReinvestment does not automatically avoid tax.
Sale of shares/fundsCapital gain or lossApply allowable cost, matching rules and CGT allowance.
ISA income/gainsSheltered from UK income tax and CGT within wrapperSubscription limits and eligibility must be checked from current rules.
Pension growthTax-privileged within pensionAccess and contribution rules are restrictive and change over time.
Investment bond gainChargeable event gainTax deferral is not the same as tax exemption.
Gifts/estate transfersPotential IHT issueOwnership, timing, exemptions and reliefs matter.

Capital Gains Tax Logic

AreaRule logicExam warning
Disposal proceedsStart with sale proceedsDeduct allowable disposal costs where permitted.
Acquisition costOriginal purchase cost plus allowable acquisition costsDo not deduct non-allowable expenses.
Share matchingSame-day acquisitions, then short-period acquisitions, then pooled holding logicMatching can change the gain from what a simple average suggests.
LossesOffset allowable capital losses under the applicable rulesLosses may need to be used before annual exemption depending scenario.
Spouse/civil partner transfersOften tested as tax-neutral planning in UK-style questionsStill consider subsequent disposal and beneficial ownership.
Exempt assetsSome assets are outside CGTDo not assume every investment gain is taxable; check category.
Wrapper disposalISA and pension wrappers usually shelter gains internallyWrapper suitability still depends on risk and access.

After-Tax Return

\[ r_{\text{after tax}}= \frac{I(1-t_i)+G(1-t_g)-C}{P_0} \]

Where \(I\) is income, \(G\) is gain, \(t_i\) is the relevant income tax rate, \(t_g\) is the relevant capital gains tax rate, \(C\) is costs and \(P_0\) is initial investment.

Pension, ISA and Tax-Advantaged Product Distinctions

Wrapper/productMain benefitMain constraintExam trap
ISAIncome and gains sheltered from UK income tax and CGT within wrapperSubscription and eligibility rulesTax-efficient does not mean capital-protected.
Pension/SIPPTax relief on contributions and tax-privileged growthAccess restrictions and contribution limitsGood tax treatment may be unsuitable if funds are needed soon.
General investment accountFlexible ownership and accessIncome tax and CGT may applyUseful after wrappers are used, but tax drag matters.
Onshore investment bondTax deferral and chargeable event regimeTax calculation can be complex5% withdrawal allowance is tax deferral, not tax-free income.
Offshore investment bondGross roll-up potential and chargeable event regimeTax due may arise on encashment/eventsDeferral can create large future tax charge.
EIS/SEIS/VCT-type investmentsPotential tax reliefsHigh risk, conditions, liquidity limitsTax relief should not override suitability.
Trust structureControl, estate planning or beneficiary planningTax and legal complexityTax treatment depends on trust type and current rules.

Investment Product Tax Traps

Scenario wordingLikely tested point
“Client wants income but is a higher-rate taxpayer”Compare dividend, interest, bond, ISA and pension treatment after tax.
“Client reinvests all distributions”Reinvestment does not automatically remove taxable income outside wrappers.
“Fund is held in an ISA”Income and gains are sheltered within the ISA, subject to wrapper rules.
“Capital protection note issued by bank”Protection depends on issuer/counterparty and terms.
“High dividend yield share”Could signal falling share price or dividend risk.
“Long-dated gilt before rate rise”Price fall due to duration risk.
“Overseas equity fund”Currency risk plus local market risk; tax treatment depends on wrapper and status.
“Retired client drawing income from volatile portfolio”Sequence risk and capital depletion.
“Low-risk client attracted by EIS/VCT relief”Tax relief does not remove investment and liquidity risk.
“Corporate bond with higher yield”Check credit risk, duration, liquidity and tax treatment.

Fast Product Selection Rules

Client needProducts often consideredProducts to question carefully
Emergency cash reserveCash deposits, money market fundsEquities, property, structured products, pensions
Known short-term liabilityCash or short-duration high-quality bondsLong-duration bonds, equities, illiquid alternatives
Long-term growthDiversified equities, multi-asset funds, pensions/ISAsConcentrated single shares, high-cost complex products
Regular incomeBonds, equity income funds, property income funds, annuity-style productsHigh-yield products without credit/liquidity review
Inflation protectionEquities, index-linked bonds, real assetsFixed nominal cash/bonds as sole long-term holding
Tax efficiencyISA, pension, appropriate allowances, tax-managed fundsTax-driven high-risk products if suitability is weak
Capital preservationCash, short-dated high-quality bonds, guaranteed structures if counterparty soundUnsecured structured notes, high-yield debt, equities
DiversificationMulti-asset funds, global exposure, low-correlation assetsMore funds holding the same underlying exposures

Common Calculation Traps Checklist

  • Use decimal form for percentages in formulas.
  • Convert time periods consistently before annualising.
  • Do not confuse coupon rate with yield.
  • For bonds, price and yield move inversely.
  • For return, include income, capital gain/loss and costs.
  • For real return, adjust for inflation using the compound formula, not simple subtraction unless approximation is acceptable.
  • For portfolio risk, correlation matters; weighted average volatility is usually wrong unless correlation is +1.
  • For beta, measure market sensitivity, not total standalone volatility.
  • For Sharpe ratio, use excess return over the risk-free rate.
  • For tax, classify income and gains before applying rates.
  • For wrappers, separate tax efficiency from investment risk.
  • For derivatives, remember short positions can create losses larger than premium received.

Final Exam-Readiness Checklist

Before answering a CISI Investment, Risk and Taxation question, identify:

  1. The investor objective.
  2. The time horizon and liquidity need.
  3. The risk type being tested.
  4. Whether the question asks pre-tax or after-tax outcome.
  5. Whether return is income, capital or total return.
  6. Whether a wrapper changes the tax answer.
  7. Whether diversification actually reduces the relevant risk.
  8. Whether the product’s complexity or liquidity conflicts with suitability.
  9. Whether the calculation uses current exam tax rates and allowances.
  10. Whether the answer is asking for the best fit, the main risk, or the most accurate calculation.

Next step: practise mixed CISI IRT question sets that combine product selection, risk identification and tax treatment in the same scenario, then review every missed question by classifying the error as formula, product knowledge, risk analysis or tax logic.

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