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IFoA SP10 practice questions

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Question 1Investment environment, asset classes and financial markets

An investor buys a 5-year fixed-coupon bond at par with a coupon of 4% paid annually. Immediately after purchase, yields on comparable bonds rise to 5%. Which statement best describes the price behaviour of this bond?

  1. The price is unchanged because the coupon is fixed at issue.
  2. The price falls by exactly the change in yield multiplied by the remaining term.
  3. The price falls, and the percentage fall is larger than it would be for a comparable bond with a shorter term to maturity. Correct answer.
  4. The price rises because the coupon is now below the market yield.

Explanation

Bond prices move inversely to yields, so a rise in the market yield to 5% pushes the price below par. Price sensitivity to a given yield change increases with term to maturity, so a 5-year bond falls proportionately more than a shorter-dated comparable bond. The relationship is convex, not a simple linear multiple of term.

Question 2Investment environment, asset classes and financial markets

Which feature most accurately distinguishes commercial paper from a Treasury bill?

  1. Commercial paper is secured against specific corporate assets, whereas a Treasury bill is unsecured.
  2. Commercial paper always carries a fixed coupon, whereas a Treasury bill is always issued at a discount.
  3. Commercial paper is an unsecured short-term promissory note issued by corporates, whereas a Treasury bill is a short-term instrument issued by the government. Correct answer.
  4. Commercial paper is issued only by banks, whereas a Treasury bill is issued only by non-financial companies.

Explanation

Commercial paper is a short-term unsecured debt instrument issued by large corporates and financial institutions, typically at a discount. Treasury bills are short-term sovereign instruments issued by the government. Both are usually discount instruments, so the coupon contrast is incorrect.

Question 3Investment environment, asset classes and financial markets

An equity analyst notes that a company's shares trade on a price-to-earnings ratio well above its sector average. Which interpretation is most consistent with efficient-market reasoning?

  1. The shares are necessarily overvalued and a short position is justified.
  2. The company must have reported an accounting error in its earnings.
  3. The market expects higher future earnings growth than the sector, or perceives lower risk, relative to peers. Correct answer.
  4. The higher ratio guarantees a higher dividend yield than peers.

Explanation

A higher P/E can reflect expected growth, lower perceived risk or higher expected return on reinvested earnings, consistent with market efficiency. It does not by itself prove mispricing. A higher P/E is generally associated with a lower, not higher, earnings yield and dividend yield.

Question 4Investment environment, asset classes and financial markets

Which best describes the role of a central counterparty (CCP) in an over-the-counter derivatives market?

  1. It sets the reference interest rates used to discount collateral.
  2. It guarantees investors a minimum return on derivative positions.
  3. It interposes itself between counterparties, becoming buyer to every seller and seller to every buyer, and manages counterparty credit risk through margining. Correct answer.
  4. It acts as the ultimate lender of last resort to clearing members.

Explanation

A CCP novates trades so that it stands between the original counterparties, mutualising credit risk and collecting initial and variation margin. It does not set reference rates or guarantee investment returns. Lender-of-last-resort functions belong to central banks.

Question 5Investment environment, asset classes and financial markets

A UK pension scheme holds index-linked gilts. Which risk is it primarily hedging with these holdings?

  1. Inflation risk on its liabilities Correct answer.
  2. Interest rate risk on nominal bonds only
  3. Currency risk on overseas assets
  4. Equity market risk

Explanation

Index-linked gilts have coupons and principal linked to an inflation index, so their cash flows rise with inflation. They are therefore used to hedge inflation-linked liabilities. They do not hedge currency or equity risk.

Question 6Investment environment, asset classes and financial markets

Which statement about the secondary market for corporate bonds is most accurate?

  1. Corporate bonds cannot be traded after issue and must be held to maturity.
  2. Corporate bonds trade on a centralised exchange with continuous two-way prices at all times.
  3. Liquidity is generally lower than in the equity market, and bid-offer spreads widen during periods of market stress. Correct answer.
  4. Bid-offer spreads are fixed by regulation and do not vary with market conditions.

Explanation

Corporate bond markets are largely dealer-based and over-the-counter, with liquidity varying by issuer and issue size. During stress, dealers widen spreads and reduce inventory, so transaction costs rise. Continuous exchange-style pricing is not typical.

Question 7Investment environment, asset classes and financial markets

An investor holds a portfolio of UK equities and wishes to reduce exposure temporarily without selling the underlying shares. Which instrument is most directly suited to this objective?

  1. Buying a corporate bond fund
  2. Entering a fixed-for-floating interest rate swap
  3. Selling FTSE 100 index futures Correct answer.
  4. Buying a gilt-edged security

Explanation

Selling equity index futures creates a short exposure that offsets the long cash equity position, reducing market exposure synthetically. This avoids the transaction costs and loss of voting rights from selling shares. Bonds and interest rate swaps do not directly hedge equity market risk.

Question 8Investment environment, asset classes and financial markets

Which of the following is a defining characteristic of a money market instrument?

  1. Issued only by governments to fund infrastructure
  2. Long maturity with equity-linked returns
  3. Short original maturity, typically one year or less, and high credit quality Correct answer.
  4. Unlimited maturity with no redemption date

Explanation

Money market instruments are short-term, highly liquid, low-credit-risk debt instruments such as Treasury bills and commercial paper. They typically have original maturities of one year or less. Equities and long-dated bonds are capital market instruments.

Question 9Investment environment, asset classes and financial markets

A bond has a modified duration of 6 and a convexity of 40. Yields fall by 50 basis points. Using the duration and convexity approximation, what is the estimated percentage price change?

  1. +3.00%
  2. +2.95%
  3. +3.05% Correct answer.
  4. +6.05%

Explanation

The duration effect is -D times the yield change: -6 times -0.005 equals +3.00%. The convexity adjustment is 0.5 times convexity times the squared yield change: 0.5 times 40 times 0.000025 equals +0.05%. The total is approximately +3.05%.

Question 10Investment environment, asset classes and financial markets

An investor expects the yield curve to steepen, with short rates unchanged and long rates rising. Which position is most consistent with this view?

  1. Pay fixed on a long-dated interest rate swap and receive fixed on a short-dated swap Correct answer.
  2. Receive fixed on a long-dated swap and pay fixed on a short-dated swap
  3. Buy a receiver swaption on long-dated rates
  4. Buy a long-dated government bond and sell a short-dated bond

Explanation

Paying fixed on a long-dated swap benefits when long rates rise, while receiving fixed on a short-dated swap benefits if short rates stay unchanged or fall. Together these express a curve steepening. Buying long-dated bonds or receiver swaptions would lose value if long rates rise.

Question 11Investment environment, asset classes and financial markets

Which statement best explains why credit spreads on high-yield bonds typically widen more than those on investment-grade bonds during a recession?

  1. Investment-grade bonds are unsecured, whereas high-yield bonds are secured.
  2. Credit spreads are set by rating agencies and do not respond to economic conditions.
  3. High-yield issuers have greater default probability and lower earnings buffers, so investors demand a larger risk premium. Correct answer.
  4. High-yield bonds have longer duration than investment-grade bonds, so they are more sensitive to rate changes.

Explanation

Default risk rises disproportionately for lower-rated issuers in a downturn, so required spreads widen more. The spread compensates for expected default loss and risk premium. Duration and security differences do not explain the general pattern.

Question 12Investment environment, asset classes and financial markets

A company issues a convertible bond with a conversion price above the current share price. Which statement best describes the investor's exposure?

  1. The investor holds a put option that can be exercised against the issuer at any time.
  2. The investor holds a bond with an embedded call option on the issuer's equity, giving upside participation if the share price rises sufficiently. Correct answer.
  3. The investor holds pure equity exposure from issue date.
  4. The investor has a guaranteed return equal to the coupon plus the equity upside.

Explanation

A convertible bond combines a straight bond with an embedded equity call option. The conversion price sets the level above which conversion becomes attractive, so the investor participates in equity upside while retaining bond downside protection. It is not pure equity and does not guarantee combined returns.

Question 13Investment environment, asset classes and financial markets

Which best describes the difference between a forward rate agreement and an interest rate futures contract?

  1. An FRA obliges physical delivery of a bond, whereas a future is cash-settled.
  2. An FRA is exchange-traded and margined daily, while a future is an OTC contract with no collateral.
  3. An FRA is an OTC contract settled by a single payment at the start of the reference period, while an exchange-traded future is margined daily and closed out. Correct answer.
  4. Both are OTC contracts with identical settlement mechanics.

Explanation

An FRA is a bilateral OTC contract whose payoff is the discounted interest differential, settled at the start of the accrual period. Interest rate futures are exchange-traded, standardised and marked to market daily with variation margin.

Question 14Investment environment, asset classes and financial markets

A portfolio has an expected return of 8% and a standard deviation of 12%. The risk-free rate is 3%. What is the Sharpe ratio?

  1. 0.125
  2. 0.667
  3. 0.250
  4. 0.417 Correct answer.

Explanation

The Sharpe ratio is the excess return over the risk-free rate divided by the standard deviation: (8% - 3%) / 12% = 5/12 ≈ 0.417. It measures return per unit of total risk.

Question 15Investment environment, asset classes and financial markets

Which statement about the relationship between spot and forward exchange rates is most accurate?

  1. The forward rate is set by central banks to manage trade flows.
  2. The forward rate is an unbiased predictor of the future spot rate under all conditions.
  3. The forward rate reflects the spot rate adjusted for the interest rate differential between the two currencies, via covered interest parity. Correct answer.
  4. The forward rate equals the spot rate whenever inflation rates differ.

Explanation

Covered interest parity links the forward premium or discount to the interest rate differential between the currencies. The forward rate is not necessarily an unbiased predictor of the future spot rate, since it embeds risk premia. Central banks do not set market forward rates.

Question 16Investment environment, asset classes and financial markets

A life insurer sells a guaranteed annuity product with a fixed payment. Which asset-liability management technique most directly addresses interest rate risk?

  1. Investing primarily in short-dated equities
  2. Buying credit default swaps on the issuer's own debt
  3. Matching the duration of fixed-income assets to the duration of the liability cash flows Correct answer.
  4. Holding assets in the reporting currency only

Explanation

Duration matching aligns the sensitivity of asset values with liability values to interest rate changes. This reduces surplus volatility from rate movements. Equity and currency holdings do not address interest rate risk, and CDS on own debt does not hedge annuity liabilities.

Question 17Investment environment, asset classes and financial markets

Which statement best describes the impact of a share buyback on a company's financial metrics, all else equal?

  1. The company's debt-to-equity ratio is unaffected because no debt is issued.
  2. The number of shares outstanding increases, diluting existing shareholders.
  3. Earnings per share may rise because the same earnings are spread over fewer shares, while cash and equity on the balance sheet fall. Correct answer.
  4. Earnings per share falls because the company has spent cash on repurchasing shares.

Explanation

A buyback reduces shares outstanding, so earnings per share can increase if earnings are unchanged, though the forgone interest on cash may partly offset this. Cash and equity both fall on the balance sheet. It is not dilutive and may affect leverage ratios if cash declines.

Question 18Investment environment, asset classes and financial markets

An investor holds a long position in a call option and a short position in a put option on the same underlying with the same strike and expiry. Which exposure does this most closely replicate?

  1. A covered call position
  2. A long forward position on the underlying Correct answer.
  3. A short forward position on the underlying
  4. A long straddle position

Explanation

Put-call parity implies that a long call plus a short put with the same strike and expiry replicates a long forward, since the payoff is the underlying price minus the strike. The combination is not a straddle or covered call.

Question 19Investment environment, asset classes and financial markets

Which characteristic distinguishes a preference share from an ordinary share?

  1. Preference shares typically rank ahead of ordinary shares for dividends and on winding up, often with a fixed dividend rate. Correct answer.
  2. Preference shares are a form of secured debt with a fixed maturity.
  3. Preference shares have a guaranteed capital value at all times.
  4. Preference shares always carry voting rights superior to ordinary shares.

Explanation

Preference shares rank ahead of ordinary shares in the dividend and liquidation waterfall and usually pay a fixed dividend. They are still equity, not debt, and their market value fluctuates. Voting rights are often restricted rather than superior.

Question 20Investment environment, asset classes and financial markets

A bank holds a portfolio of interest rate swaps and wants to estimate its exposure to a parallel shift in the curve. Which measure is most appropriate?

  1. Credit spread duration
  2. DV01 of the swap portfolio Correct answer.
  3. FX delta
  4. Equity beta

Explanation

DV01, or the present value of a basis point, measures the change in portfolio value for a one basis point parallel shift in interest rates. It is the standard interest rate sensitivity measure for swap books. Credit spread duration, equity beta and FX delta measure other risks.

Question 21Investment environment, asset classes and financial markets

An investor observes that a bond with a credit rating of BBB has a higher yield than a comparable-maturity government bond. Which components most plausibly explain the yield difference?

  1. Only central bank policy rates
  2. Only expected default losses, with no other component
  3. A credit risk premium, a liquidity premium and possibly a tax or structural difference Correct answer.
  4. Only the difference in coupon rates

Explanation

The spread over government yields compensates for expected default loss, a risk premium for uncertainty, and liquidity differences. Tax treatment and structural features can also contribute. It is not solely expected default loss or coupon differences.

Question 22Investment environment, asset classes and financial markets

Which statement best describes the effect of a deterioration in a sovereign's credit rating on its domestic corporate bond market?

  1. Corporate spreads may widen because the sovereign rating often acts as a ceiling and raises the perceived risk of domestic issuers. Correct answer.
  2. Corporate spreads are unaffected because sovereign and corporate risk are independent.
  3. Corporate spreads narrow because the sovereign guarantee is extended to all corporates.
  4. Corporate spreads always narrow because investors switch from government to corporate bonds.

Explanation

Sovereign ratings often constrain domestic corporate ratings, and a downgrade can raise funding costs and perceived risk across the domestic market. Spreads typically widen rather than narrow. Sovereign and corporate risk are correlated through the domestic economy and banking system.

Question 23Investment environment, asset classes and financial markets

A pension scheme holds a large allocation to long-dated index-linked bonds and uses a leveraged liability-driven investment (LDI) structure. A sharp rise in real yields occurs with collateral calls. Which risk is most directly illustrated?

  1. Currency risk from overseas bond holdings
  2. Equity market risk from falling share prices
  3. Liquidity risk from collateral calls forcing asset sales at depressed prices Correct answer.
  4. Basis risk between nominal and real yields only

Explanation

Leveraged LDI structures require collateral when yields move against the position, and meeting calls may force sales of assets into an illiquid market. This is a liquidity risk, distinct from equity, currency or basis risk. The scenario is a classic illustration of collateral and liquidity management risk.

Question 24Investment environment, asset classes and financial markets

An analyst compares two bonds with identical maturity and credit rating. Bond A is callable by the issuer, and Bond B is not. Which statement is most accurate?

  1. Bond A should offer a higher yield only if interest rates are expected to fall.
  2. Bond A should offer a lower yield because the call feature reduces risk to the investor.
  3. Bond A and Bond B should have identical yields because their credit ratings match.
  4. Bond A should offer a higher yield than Bond B because the call option benefits the issuer at the expense of the investor. Correct answer.

Explanation

A call option held by the issuer is a disadvantage to the investor, who loses upside if rates fall and the bond is called. Investors therefore demand a higher yield, giving rise to the yield-to-worst concept. The premium exists regardless of the direction of expected rates.

Question 25Investment environment, asset classes and financial markets

An investor constructs a portfolio with two assets that have a correlation coefficient of -0.3. Which statement best describes the diversification benefit?

  1. Portfolio volatility will equal the weighted average of the individual volatilities regardless of correlation.
  2. Portfolio volatility will be lower than the weighted average of the individual volatilities, with the benefit increasing as the correlation falls. Correct answer.
  3. Portfolio volatility will be higher than the weighted average because the correlation is negative.
  4. Diversification benefit exists only when the correlation is exactly zero.

Explanation

For any correlation below +1, portfolio volatility is less than the weighted average of individual volatilities, and the benefit grows as correlation falls towards -1. Negative correlation provides a substantial reduction in risk. The benefit is not limited to zero correlation.

Question 26Investment environment, asset classes and financial markets

Which statement best describes the role of a central counterparty (CCP) in an over-the-counter (OTC) derivatives market?

  1. It matches buyers and sellers anonymously but leaves counterparty credit risk with the original trading parties.
  2. It acts as a market maker by quoting bid and offer prices to all participants in the OTC market.
  3. It becomes the buyer to every seller and the seller to every buyer, novating trades and collecting margin from clearing members. Correct answer.
  4. It guarantees only the settlement of cash equity trades and does not clear interest rate or credit derivatives.

Explanation

A CCP interposes itself between counterparties through novation, so each original party faces the CCP rather than the other side. It manages its resulting exposure by requiring initial and variation margin from clearing members and maintaining a default fund. This mutualisation of counterparty credit risk is the defining feature of central clearing in OTC derivatives markets.

Question 27Investment environment, asset classes and financial markets

An investor is considering adding emerging market local-currency government bonds to a developed-market bond portfolio. Which risk is most specific to this asset class compared with developed-market government bonds?

  1. Reinvestment risk arising from periodic coupon payments.
  2. Sensitivity to changes in the risk-free yield curve of the investor's home market.
  3. Liquidity risk arising from trading in a secondary market.
  4. Exposure to the issuer's domestic inflation and monetary policy through local-currency denomination. Correct answer.

Explanation

Local-currency emerging market government bonds expose the investor to the issuer's domestic inflation, interest rate and monetary policy environment, as well as to currency movements. Developed-market government bonds also carry duration and reinvestment risk, so those risks are not specific to emerging markets. The local-currency denomination is the distinguishing feature that adds this additional layer of macroeconomic exposure.

Question 28Investment environment, asset classes and financial markets

A UK pension scheme holds a portfolio of long-dated fixed-interest gilts. It expects a parallel downward shift in nominal yields over the next year. Which action is most consistent with this view, assuming the scheme wishes to increase the portfolio's sensitivity to the expected yield fall?

  1. Reduce the portfolio's convexity by selling long-dated gilts.
  2. Increase the allocation to cash and money market instruments.
  3. Shorten the portfolio's duration by switching into shorter-dated gilts.
  4. Extend the portfolio's duration by switching into longer-dated gilts. Correct answer.

Explanation

For a given fall in yields, the price gain on a bond is larger the greater its duration, so extending duration increases the portfolio's sensitivity to the expected downward shift. Shortening duration or moving to cash would reduce that sensitivity. Convexity affects the magnitude of the gain but the primary directional exposure here is duration.

Question 29Investment environment, asset classes and financial markets

An investment analyst is comparing a UK equity income fund with a UK equity growth fund. The income fund holds mature companies with high dividend payout ratios, while the growth fund holds companies that reinvest most earnings. Which statement best explains why the income fund is likely to have lower total return volatility in a recession, all else equal?

  1. Dividend income provides a relatively stable cash return that cushions price falls, and mature companies typically have more predictable earnings. Correct answer.
  2. The income fund must hold a higher proportion of cash to meet dividend payments, which reduces its volatility.
  3. Dividend-paying shares are less sensitive to changes in interest rates than growth shares in all market conditions.
  4. Growth companies always have higher financial leverage, which increases their earnings volatility in a downturn.

Explanation

Dividend income contributes a cash return that is generally more stable than capital gains, and mature companies with high payout ratios tend to have more predictable earnings, so their share prices typically fall less in a recession. Growth companies reinvest earnings and their valuations depend more heavily on distant cash flows, making them more sensitive to changes in expectations. The cushioning effect of dividends and earnings stability is the main reason for lower total return volatility in a downturn.

Question 30Investment environment, asset classes and financial markets

A fixed-income portfolio manager holds a large position in a corporate bond with a modified duration of 5.0 and a credit spread duration of 4.0. The manager expects the risk-free yield curve to remain unchanged but the issuer's credit spread to widen by 30 basis points. Using duration and spread duration only, what is the approximate percentage change in the bond's price?

  1. -1.50%
  2. -1.20% Correct answer.
  3. +1.20%
  4. -0.90%

Explanation

A credit spread widening of 30 basis points reduces the bond's price by approximately spread duration times the spread change, which is 4.0 × 0.30% = 1.20%. Because the risk-free curve is unchanged, there is no duration effect from government yields. The percentage price change is therefore approximately -1.20%.

Question 31Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer's investment committee is reviewing the purpose of asset-liability modelling. Which statement best describes the primary role of ALM within an insurer's overall risk framework?

  1. It removes the need for a separate liquidity policy because asset sales can always fund unexpected claim outflows.
  2. It focuses exclusively on maximising the expected investment return of the asset portfolio.
  3. It guarantees that investment returns will exceed the discount rate used for pricing liabilities in every future year.
  4. It coordinates asset and liability decisions so that cash flows, durations and risks are managed jointly against solvency and return objectives. Correct answer.

Explanation

ALM is a coordinated framework that considers assets and liabilities together, aligning cash flows, durations and risk exposures with the insurer's solvency and return objectives. It does not guarantee returns, does not substitute for a liquidity policy, and is not a return-maximisation exercise in isolation.

Question 32Asset-liability modelling and investment strategy for insurers and pension schemes

A defined benefit pension scheme holds a portfolio of long-dated fixed-interest gilts intended to match the interest-rate sensitivity of its liabilities. Which risk is most directly reduced by this matching approach?

  1. Interest-rate (duration mismatch) risk on the funding level Correct answer.
  2. Longevity risk among current deferred members
  3. Inflation risk on pension increases
  4. Sponsor covenant deterioration

Explanation

Matching the interest-rate sensitivity of assets and liabilities reduces the sensitivity of the funding level to movements in interest rates, i.e. duration mismatch risk. Longevity, covenant and inflation risks are separate exposures that fixed-interest nominal gilts do not directly hedge.

Question 33Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer is setting the strategic asset allocation for a with-profits fund. Which combination of factors should the investment strategy reflect most directly?

  1. The investment preferences of the appointed actuary personally
  2. Peer insurers' allocations, since convergence reduces competitive pressure
  3. Only the historical return ranking of the major asset classes over the last decade
  4. The liability profile, capital requirements, policyholder expectations and the insurer's risk appetite Correct answer.

Explanation

Strategic asset allocation for a with-profits fund must reconcile the liability profile and guarantees with regulatory capital, policyholder reasonable expectations and the firm's risk appetite. Historical returns alone, personal preferences or simple peer mimicry are insufficient and potentially imprudent bases.

Question 34Asset-liability modelling and investment strategy for insurers and pension schemes

Which statement about the use of stochastic asset models in insurer ALM is correct?

  1. They eliminate model risk because random sampling removes the need for judgement.
  2. They generate a distribution of possible outcomes, allowing probabilities of solvency breaches and shortfall measures to be estimated. Correct answer.
  3. They produce a single deterministic projection of the balance sheet that is treated as the central forecast.
  4. They are used only for pricing individual life insurance contracts and have no role in investment strategy.

Explanation

Stochastic asset models simulate many economic scenarios to produce a distribution of outcomes, from which measures such as the probability of ruin or shortfall risk can be derived. They complement rather than replace deterministic projections and still require substantial judgement and calibration.

Question 35Asset-liability modelling and investment strategy for insurers and pension schemes

A pension scheme's trustees are considering a buy-in transaction with an insurer. From the scheme's perspective, what is the principal effect on the scheme's investment strategy?

  1. It transfers the scheme's inflation risk to the scheme members.
  2. It removes all sponsor covenant risk from the scheme.
  3. It converts a portion of investment and longevity risk into an insurance company credit exposure. Correct answer.
  4. It requires the scheme to increase its allocation to growth assets to fund the premium.

Explanation

A buy-in replaces the investment and longevity risk on the covered liabilities with an exposure to the insurer's ability to pay under the contract. The scheme retains its assets and receives payments from the insurer to meet the covered benefits.

Question 36Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer writing annuity business is considering investing in corporate bonds rather than government bonds to pick up yield. Which statement best captures the ALM trade-off?

  1. Corporate bonds offer a spread over gilts but introduce credit risk and potential illiquidity that must be assessed against the insurer's risk appetite. Correct answer.
  2. Corporate bonds carry no default risk provided they are investment grade.
  3. Corporate bonds always have shorter durations than gilts, so they reduce interest-rate risk.
  4. Corporate bonds are unsuitable for annuity portfolios under any circumstances.

Explanation

The credit spread compensates for default and liquidity risk, so holding corporate bonds introduces credit exposure that must be weighed against the extra yield and the insurer's risk appetite. Investment grade does not mean risk-free, and duration is a property of the individual bond rather than the sector.

Question 37Asset-liability modelling and investment strategy for insurers and pension schemes

In a defined benefit pension scheme, which liability characteristic most strongly favours an allocation to long-dated nominal and index-linked bonds?

  1. Liabilities are long-dated and sensitive to real and nominal interest rates. Correct answer.
  2. Liabilities are short-dated and highly uncertain in timing.
  3. Liabilities are denominated in a foreign currency.
  4. Liabilities are payable only on the death of active members.

Explanation

Defined benefit liabilities typically extend many decades and their present value is highly sensitive to real and nominal interest rates, so long-dated bonds hedge both duration and, for index-linked benefits, inflation exposure. Short-dated or foreign-currency characteristics would point to different asset choices.

Question 38Asset-liability modelling and investment strategy for insurers and pension schemes

Which of the following best describes 'reinvestment risk' in the context of an insurer matching fixed-interest assets to fixed liabilities?

  1. The risk that interest rates rise and the market value of the bond falls.
  2. The risk that inflation exceeds the assumed rate.
  3. The risk that the issuer defaults before maturity.
  4. The risk that coupon and redemption proceeds must be reinvested at lower yields than assumed. Correct answer.

Explanation

Reinvestment risk arises when cash flows received before the liability payment date must be reinvested at prevailing rates, which may be lower than the rate assumed in the matching calculation. Price risk from rising rates and default risk are distinct exposures.

Question 39Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer is evaluating whether to hold a portfolio of equities to back unit-linked pension contracts. Which statement best describes the appropriate ALM reasoning?

  1. The insurer should hold government bonds to hedge the unit-linked liability.
  2. Equities must be matched to the insurer's own capital requirements rather than to the unit funds.
  3. Equities should be avoided because unit-linked liabilities are guaranteed by the insurer.
  4. The investment risk is borne by policyholders, so the assets should broadly reflect the funds chosen by policyholders and the insurer's charges. Correct answer.

Explanation

Under unit-linked business the policyholder bears the investment risk, so the assets held should mirror the unit funds selected, with the insurer's exposure limited largely to charges and expense risk. Matching equities to the insurer's own capital is the wrong frame for unit liabilities.

Question 40Asset-liability modelling and investment strategy for insurers and pension schemes

A life insurer has liabilities with a duration of 12 years and assets with a duration of 7 years. Interest rates fall by 1%. Ignoring convexity, what is the approximate impact on the surplus?

  1. The surplus is unchanged because both assets and liabilities move.
  2. The surplus falls by about 5% of the liability value.
  3. The surplus falls by about 12% of the liability value.
  4. The surplus rises by about 5% of the liability value. Correct answer.

Explanation

With liabilities longer than assets, a fall in rates increases the liability value more than the asset value. Using duration, the liability rises by roughly 12% and the assets by roughly 7%, so the surplus improves by about 5% of the relevant value, ignoring convexity and relative magnitudes.

Question 41Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer's investment committee is considering increasing its allocation to illiquid infrastructure debt to capture an illiquidity premium. Which consideration is most important in the ALM assessment?

  1. The accounting classification of the assets under the insurer's reporting framework only
  2. The expected credit rating of the infrastructure projects only
  3. The historical volatility of listed infrastructure equities
  4. The cash-flow profile of the assets relative to expected claim payments and the insurer's liquidity needs under stress Correct answer.

Explanation

Illiquid assets must be assessed against the timing of claim payments and the insurer's liquidity needs, particularly under stress scenarios where forced sales are costly. Credit quality matters but is only one input, and accounting classification or listed-equity volatility does not capture the liquidity mismatch.

Question 42Asset-liability modelling and investment strategy for insurers and pension schemes

A pension scheme is running a significant funding deficit and the sponsor is weak. Which investment strategy is most consistent with an appropriate balance of risk?

  1. Invest entirely in growth assets to maximise the chance of closing the deficit quickly
  2. Maintain a substantial allocation to matching assets while retaining some growth exposure within a risk-controlled framework Correct answer.
  3. Increase leverage through derivatives to amplify returns on the growth portfolio
  4. Switch entirely to cash to eliminate investment risk

Explanation

A weak sponsor and a large deficit argue for protecting the funding position with matching assets while retaining controlled growth exposure to repair the deficit. Betting entirely on growth, holding all cash, or leveraging up all increase the risk of an unrecoverable outcome.

Question 43Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer is setting investment strategy for a portfolio backing immediate annuity liabilities. Which asset allocation consideration is most directly relevant to managing interest-rate risk?

  1. Holding assets denominated in foreign currencies to diversify
  2. Investing predominantly in equities to capture the equity risk premium
  3. Holding short-dated money market instruments to preserve flexibility
  4. Holding assets whose cash flows and duration approximate those of the annuity payments Correct answer.

Explanation

Immediate annuity liabilities are long-dated and fixed, so matching the cash-flow timing and duration of assets to those payments is the primary way to control interest-rate risk. Short-dated, equity-heavy or foreign-currency portfolios introduce mismatches rather than managing them.

Question 44Asset-liability modelling and investment strategy for insurers and pension schemes

In a deterministic projection of an insurer's balance sheet, which assumption set would most likely understate the required capital?

  1. Allowing for correlation between asset returns and lapse experience
  2. Using a single central economic scenario with no allowance for adverse deviations Correct answer.
  3. Applying a margin for prudence to the central assumptions
  4. Using a range of scenarios including a severe recession

Explanation

A single central scenario without adverse deviations ignores the tail of possible outcomes and so tends to understate the capital needed to withstand stress. Scenario ranges, prudence margins and correlation allowances all tend to increase rather than reduce the assessed capital.

Question 45Asset-liability modelling and investment strategy for insurers and pension schemes

A pension scheme uses a liability-driven investment (LDI) approach with gilt total return swaps to hedge interest-rate and inflation risk. Which risk does this approach most clearly introduce?

  1. Currency risk, because swaps are settled in foreign currency
  2. Collateral risk, because adverse market moves may require posting additional collateral at short notice Correct answer.
  3. Sponsor covenant risk, because the swap counterparty becomes the sponsor
  4. Longevity risk, because swaps transfer mortality exposure to the scheme

Explanation

Leveraged LDI structures require collateral to be posted as markets move, so a sharp rise in yields or fall in inflation expectations can trigger collateral calls that force asset sales. Swaps do not transfer longevity or covenant risk, and settlement is normally in the scheme's domestic currency.

Question 46Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer is considering an investment in a portfolio of equities to back a block of traditional participating business with guaranteed minimum returns. Which risk is most relevant to the ALM assessment?

  1. The risk that the insurer's expense ratio falls below the pricing assumption
  2. The risk that equity returns fall below the guaranteed rate, creating a strain borne by the insurer Correct answer.
  3. The risk that the insurer's own share price falls
  4. The risk that policyholders choose to surrender early, which always reduces the insurer's exposure

Explanation

Where guarantees are provided, the insurer bears the downside if asset returns fall short of the guaranteed rate, so the equity allocation must be assessed against the cost of those guarantees. Early surrender does not always reduce exposure, and expense or share-price movements are not the primary ALM concern here.

Question 47Asset-liability modelling and investment strategy for insurers and pension schemes

Which statement best explains why an insurer might use a risk-neutral rather than a real-world calibration for valuing embedded guarantees in its asset-liability model?

  1. Risk-neutral calibration is consistent with no-arbitrage pricing and is appropriate for valuing options and guarantees. Correct answer.
  2. Risk-neutral calibration is required for all solvency capital calculations under every regime.
  3. Risk-neutral calibration removes the need to model policyholder behaviour.
  4. Risk-neutral calibration produces expected returns that are higher and therefore more prudent.

Explanation

Risk-neutral calibration is grounded in no-arbitrage pricing and is the appropriate framework for valuing embedded options and guarantees. It does not imply higher expected returns, does not remove the need for behavioural assumptions, and is not universally mandated for every capital calculation.

Question 48Asset-liability modelling and investment strategy for insurers and pension schemes

A pension scheme is reviewing its statement of investment principles. Which element is most directly concerned with the balance between matching and growth assets?

  1. The schedule of contributions agreed with the employer
  2. The strategic asset allocation and the rationale for the chosen balance of return-seeking and liability-matching assets Correct answer.
  3. The actuarial valuation assumptions for mortality
  4. The scheme's internal dispute resolution procedure

Explanation

The strategic asset allocation, and the stated rationale for the balance between return-seeking and liability-matching assets, is the core investment-strategy element of the statement of investment principles. Contributions, dispute procedures and mortality assumptions are separate governance or actuarial matters.

Question 49Asset-liability modelling and investment strategy for insurers and pension schemes

An insurer's asset-liability model shows that under a 1-in-200 stress scenario the available capital falls below the regulatory requirement. Which management action would most directly address the mismatch identified?

  1. Reduce the frequency of model recalibration to lower reported volatility
  2. Extend the projection horizon to average out the stress
  3. Increase the allocation to long-dated matching assets to reduce duration mismatch Correct answer.
  4. Increase the equity allocation to capture higher expected returns

Explanation

If the stress reveals a duration mismatch, shifting towards long-dated matching assets directly reduces the sensitivity of the balance sheet to interest-rate movements. Raising equity exposure, reducing recalibration or extending the horizon does not address the underlying mismatch.

Question 50Asset-liability modelling and investment strategy for insurers and pension schemes

A defined benefit scheme is considering a partial buy-out of its pensioner liabilities. Which factor is most relevant to the trustees' decision on whether to proceed?

  1. The insurer's quoted premium relative to the scheme's own estimate of the liabilities and the security provided by the sponsor Correct answer.
  2. The insurer's marketing budget and brand recognition
  3. The scheme's historical investment return over the last five years
  4. The number of active members remaining in the scheme

Explanation

The decision turns on the price of the insurance relative to the value of the liabilities transferred and the security gained versus the sponsor covenant being given up. Marketing spend, active member numbers and past returns are not the central determinants.