An index of dividend-paying stocks has a value of 1,000. The risk-free interest rate is 4%. The no-arbitrage 1-year forward price of the index is:
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Dividends are a benefit of holding the underlying index. If d is the continuously compounded dividend yield of the index, the no-arbitrage 1 year forward price of the index is , which is less than .
The primary difference between a fixed-for-floating interest rate swap and a series of forward rate agreements (FRAs) that is otherwise equivalent to the swap is that each FRA may have a different:
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An interest rate swap is equivalent to a series of FRAs with the same fixed rate, reference rate, and notional principal. The series of FRAs would have values at initiation that sum to zero but their individual values at initiation may be positive or negative.
An investor with a need to hedge interest rate risk and a high requirement for liquidity should most appropriately hedge with:
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The liquidity requirement makes futures the most appropriate instrument because they are standardized instruments and are traded on an exchange, which is not the case for most swaps or forward contracts.
A synthetic short position in a common stock can be created by combining a:
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The put-call parity condition is stock price − Present value of exercise price = Call price − Put price, or − Stock price = Put price − PV of exercise price − Call price. Remember that a negative sign indicates a short position and a positive sign indicates a long position. That means we can rewrite this equation as follows:
Short stock position = Long put position + Short T-bill position + Short call position
Question 131: Which of the following statements about derivatives is most accurate?
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Credit default swaps operate like insurance contracts. The protection buyer pays a fee (often quarterly) in return for a contingent payout if there is a credit event on the underlying asset. Futures contracts are commitments because the long is obligated to buy and the short is obligated to sell the underlying asset. Call options are contingent claims because the seller's obligation is contingent on the price of the underlying asset. Options may expire out of the money and expire unexercised.
When pricing European options with a binomial model, the expected payoff at expiration is discounted at an interest rate that:
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Because binomial pricing models use the concepts of replication and risk neutrality, the expected payoff is discounted at the risk-free rate.
Other things equal, an increase in the cash flows from an underlying asset during the life of a forward contract would result in a forward contract with a:
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Higher cash flows reduce the net cost of carry and reduce the forward price, other things equal.
Under hedge accounting rules for derivatives, an interest rate swap may be classified as:
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An issuer may account for a pay-fixed interest rate swap as a cash flow hedge if it converts a fixed-rate liability to a floating-rate liability. An issuer may account for a pay-floating interest rate swap as a fair value hedge if its purpose is to decrease the volatility in balance sheet values of a fixed-rate liability recognized at market value.
An investor notes that the price for a futures contract on an asset is less than the price for an otherwise identical forward contract on the asset. It is most likely that interest rates are expected to be:
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When interest rates are negatively correlated with the price of the underlying asset, the mark-to-market cash flows on the futures contract will require cash when interest rates are higher and provide cash when interest rates are lower.
Which of the following statements is least accurate regarding the use of derivative instruments?
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Derivative contracts have low transaction costs compared to the purchase of the underlying assets, regardless of the leverage. Long or short positions may be used to hedge a portfolio. Derivative instruments provide price information and can help promote market efficiency.
A decrease in the risk-free rate will decrease the value of a call option and increase the value of a put option.
|
|
Value of a call option |
Value of a put option |
|
A. |
Decrease |
Increase |
|
B. |
Increase |
Increase |
|
C. |
Increase |
Decrease |
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A decrease in the risk-free rate will decrease the value of a call option and increase the value of a put option.
The price of an interest rate swap is equal to:
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The par swap rate, or fixed rate specified in the contract, is the price of an interest rate swap.