Learning Module 3 Derivative Benefits, Risks, and Issuer and Investor Uses
50 questions available
Key Points
- Derivatives enable exposure management without transacting the cash underlying.
- Operational advantages include lower upfront cash, easier shorts, and liquidity.
- Derivatives contribute to price discovery for underlying markets.
- Issuers use derivatives for hedging and often seek hedge accounting.
- Investors use derivatives for replication, overlay strategies, and hedging.
Key Points
- Implicit leverage can magnify gains and losses dramatically.
- Basis risk arises when the derivative reference differs from the exposure.
- Liquidity risk can force offsetting trades or default if margin cannot be met.
- Counterparty credit risk differs between ETD (clearinghouse margining) and OTC.
- Central clearing of OTC derivatives narrows cash-flow differences vs. ETDs.
Key Points
- Forward/futures: firm commitments; forward is OTC, futures are standardized and daily MTM.
- Options: contingent claims with asymmetric payoffs; buyer limited loss to premium.
- Swaps: series of exchanges (pay-fixed/receive-floating) used to transform liabilities/assets.
- CDS: protection buyer pays a spread; seller pays contingent LGD at credit event.
- Hedge accounting designation affects timing of P&L recognition for issuers.
Key Points
- No-arbitrage links spot and forward via risk-free rate and cost of carry: F = (S - PV(dividends) + PV(costs))*(1 + r)^T.
- Replication: long forward = buy spot financed by borrowing; value comparisons prevent arbitrage.
- FX forwards reflect interest-rate differentials: F_f/d = S_f/d * e((r_f - r_d)T).
- Convenience yield and storage costs affect commodity carry and forward/futures prices.
- Futures and forwards differ in MTM timing; daily MTM in futures can change pricing due to interest-rate correlation.
Key Points
- Swap pricing: par swap rate equates PV of floating vs PV of fixed legs; swap initially value zero.
- Zero rates and discount factors are bootstrapped from bond prices; implied forward rates link different maturities.
- FRAs are single-period forward interest contracts; interest-rate futures use 100 - yield convention and have convexity differences.
- Swap valuations change with forward curve shifts; receiving fixed benefits when forward rates fall.
- Central clearing has reduced bilateral credit exposure and made OTC margining more similar to ETD margining.
Questions
Which of the following is NOT typically an operational advantage of trading futures rather than the equivalent cash underlying?
View answer and explanationAn issuer wants to lock in the future EUR proceeds it will receive in 75 days for a KRW-denominated export contract. Which derivative best directly hedges the issuer's currency risk and helps achieve hedge accounting for forecasted cash flows?
View answer and explanationWhich risk describes the possibility that a derivative’s cash flows settle at different times than the hedged cash flows, potentially causing liquidity pressure from margin calls?
View answer and explanationAn investor buys a six-month European call option on an index with strike X and pays premium c0. Under which condition at maturity does the option buyer achieve a positive profit ignoring time value of money?
View answer and explanationA put option seller receives premium p0 on an option with strike X = 30. What is the seller's maximum possible profit and maximum possible loss (assume underlying cannot be negative)?
View answer and explanationWhich of the following best describes basis risk in hedging?
View answer and explanationA one-year forward on a non-dividend stock has forward price F0(T) = S0(1 + r)^T. If today S0 = 50 and the annual risk-free r = 4% (discrete), what must be the forward price for T = 1 year to prevent arbitrage?
View answer and explanationProcam can store gold at no cost. Spot gold S0 = 1,770; annual r = 2%; forward price for 3 months is observed at 1,792.13. Is there an arbitrage? If so, what action creates a riskless profit?
View answer and explanationHow does a convenience yield affect commodity forward prices compared with spot prices?
View answer and explanationWhich statement correctly contrasts counterparty credit risk for a long forward versus a purchased call option?
View answer and explanationWhich is the correct no-arbitrage relationship for an equity index forward with continuous dividend yield i and continuous risk-free rate r?
View answer and explanationAn equity investor holds stock and writes a call at strike X for income (covered call). Which payoff best describes the covered call relative to a naked long stock position at maturity?
View answer and explanationWhich factor tends to increase the forward price of a commodity all else equal?
View answer and explanationAn FX forward quote uses S0_f/d = units of foreign currency per 1 unit domestic. If rf > rd (foreign rate higher than domestic), what happens to F0_f/d(T) versus S0_f/d under no-arbitrage?
View answer and explanationWhich best explains why futures and forwards might have different prices even for the same underlying and maturity?
View answer and explanationIf interest rates are constant over the life of a contract, how do forward and futures prices compare for that underlying?
View answer and explanationWhich market participant is most likely to prefer exchange-traded derivatives (ETDs) over OTC derivatives?
View answer and explanationA six-month equity futures contract on a non-dividend stock has S0 = 100 and r = 3% (annual, discrete). Compute the fair futures price at inception.
View answer and explanationWhich of these best describes central clearing’s effect on OTC derivative counterparty credit risk?
View answer and explanationAn FRD (forward rate agreement) is initiated to lock a future three-month deposit rate starting in nine months. Which of the following statements is true about an FRA?
View answer and explanationWhich of the following best defines implicit leverage in derivative strategies?
View answer and explanationA swap fixed rate is defined as the par swap rate. Which statement best describes how that fixed rate is determined at inception?
View answer and explanationWhich hedge accounting designation would most likely apply when an issuer uses an interest rate swap to convert floating-rate debt into a fixed-rate liability?
View answer and explanationIf an investor receives a net gain from widening CDS spreads on an issuer without owning the issuer's bond, what position has the investor taken in the CDS market?
View answer and explanationAn investor enters a long forward on 1,000 shares of a stock at F0(T) = 120 and the spot at maturity ST = 110. What is the forward buyer's payoff and what is the profit if the buyer paid no premium?
View answer and explanationWhich of the following statements about option sellers is correct?
View answer and explanationA futures contract requires posting initial margin and is marked to market daily. How does this affect counterparty credit risk compared with an OTC forward that settles only at maturity?
View answer and explanationAn investor enters a long futures contract with initial margin 5,000. During day 1 futures price falls causing MTM loss 700 removed from margin. Which best describes the investor's position?
View answer and explanationWhich derivative is most directly equivalent (in cash flows) to simultaneously being long the underlying and short a forward on that underlying, ignoring financing costs?
View answer and explanationAn investor holds an equity position with expected cash dividend before forward maturity. How does the present value of dividends affect the forward price?
View answer and explanationWhich is the correct description of a net investment hedge?
View answer and explanationSuppose zero rates are z1 = 2.4% for 1y and z2 = 3.42% for 2y. Compute the 1y1y implied forward rate (one-year forward rate starting in one year).
View answer and explanationWhich of the following best describes a covered call's payoff at maturity relative to strike X and premium c0?
View answer and explanationA long forward and a long call with exercise price equal to forward price are compared. For which ST range will the option profit exceed the forward profit, assuming the option premium is c0?
View answer and explanationWhich of the following best characterizes systemic risk in derivatives markets as discussed in the chapter?
View answer and explanationIn Example 4 (Esterr Inc. swap to fixed), Esterr pays fixed 2.05% and receives floating MRR on CAD250 million. If MRR rises significantly after inception, what happens to the swap MTM from Esterr's perspective?
View answer and explanationWhen bootstrapping zero rates from coupon bond prices, which principle ensures no-arbitrage pricing of a zero-coupon claim?
View answer and explanationWhich of these best characterizes the convexity bias between interest-rate futures and FRAs?
View answer and explanationWhich is true about the present value formula for the mark-to-market value of a forward contract on an underlying with known cash incomes and costs?
View answer and explanationWhich of the following most accurately describes a CDS protection seller?
View answer and explanationAn investor compares entering a forward sale of shares in 6 months vs buying a put option for protection. Which is true if the investor expects the stock to rise but wants downside protection?
View answer and explanationWhich of the following best captures the operational efficiency argument for why derivative markets improve market efficiency generally?
View answer and explanationA structured note guarantees 80% principal protection plus upside linked to an index above a 5% threshold and is sold at 102% of par. Compared with buying a stand-alone call replicating the upside, what additional investor risks are highlighted?
View answer and explanationWhich of the following best explains why an issuer might prefer OTC forwards over exchange-traded futures for hedging a specific commercial exposure?
View answer and explanationWhen would an investor prefer to buy a call option rather than enter a forward purchase on the same underlying?
View answer and explanationWhich statement best describes how futures price discovery can help cash market participants?
View answer and explanationIf a futures price is positively correlated with interest rates and interest rates rise, what is the likely relative attractiveness and price relationship between futures and forwards?
View answer and explanationA portfolio manager will receive a large foreign currency cash inflow in three months and wants to lock the conversion rate now. Which derivative achieves this most precisely and why?
View answer and explanationWhich of the following is the most accurate description of margin calls in futures markets?
View answer and explanationConsider a pay-fixed, receive-floating interest rate swap. Which cash-market position replicates this swap economically?
View answer and explanation