Reading 61: Futures Markets and Contracts-LOS c 习题精选 2011, otherwise, contract, forward

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Session 16: Derivative Investments: Forwards and Futures
Reading 61: Futures Markets and Contracts

LOS c: Explain how forward and futures prices differ.

 

 

Compared to the price on an otherwise identical forward contract, the price of a futures contract is:

A) always the same at contract initiation.

B) lower when asset price changes are positively correlated with interest rate changes.

C) higher when asset price changes are positively correlated with interest rate changes.

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A positive correlation between asset price changes and interest rate changes makes the mark-to-market feature attractive to a futures buyer. This leads to a higher futures price compared to the forward price on an otherwise identical contract.

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When interest rate changes are negatively correlated with the price changes of the asset underlying a futures/forward contract:

A) futures prices are higher.

B) forward prices are higher.

C) futures prices may be higher or lower depending on the risk-free rate and price volatility.

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A negative correlation between asset price changes and interest rate changes makes the mark-to-market feature unattractive to a futures buyer. This leads to a lower futures price, compared to the forward price on an otherwise identical contract.

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Compared to futures prices on a six-month contract, forward prices on an identical contract are:

A) always higher.

B) higher, lower, or equal.

C) equal.

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Futures prices may be higher or lower than forward prices on a contract with identical terms, depending on the correlation between interest rate changes and the price changes of the underlying asset. When interest rates and asset values are positively correlated, the futures price tends to be higher, and when interest rates and asset values are negatively correlated, the futures price tends to be lower.

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To initiate an arbitrage trade if the futures contract is underpriced, the trader should:

A) short the asset, invest at the risk-free rate, and buy the futures.

B) borrow at the risk-free rate, buy the asset, and sell the futures.

C) borrow at the risk-free rate, short the asset, and sell the futures.

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If the futures price is too low relative to the no-arbitrage price, buy futures, short the asset, and invest the proceeds at the risk-free rate until contract expiration. Take delivery of the asset at the futures price, pay for it with the loan proceeds and keep the profit. For Treasury bill (T-bills), shorting the asset is equivalent to borrowing at the T-bill rate.

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The no-arbitrage price of a futures contract with a spot rate of 990, a time to maturity of 2 years, and a risk-free-rate of 5% is closest to:

A) 1040.

B) 792.

C) 1091.

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FP	= S0 ×(1+Rf)T
	= 990 (1.05)2
	= 1091