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"Derivative"exercise:Spot exchange rate and forward exchange rate

来源: 正保会计网校 2020-11-25
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Questions 1:

There are two forward contracts, contract 1 and contract 2, on the same underlying. The underlying makes no cash payments, does not yield any nonfinancial benefits, and does not incur any storage costs. Contract 1 expires in one year, and contract 2 expires in two years. It is most likely that the price of contract 1:

A、 is equal to the price of contract 2.

B 、is less than the price of contract 2.

C 、exceeds the price of contract 2.

Questions 2:

For a forward contract with a value of zero, a situation where the spot price is above the forward price is best explained by high:

A 、interest rates.

B 、storage costs.

C 、convenience yield.

View answer resolution
【Answer to question 1】B

【analysis】

B is correct. The forward price is the spot price compounded at the risk-free rate over the life of the contract. Because contract 2 has the longer life, compounding will lead to a larger value.

 A is incorrect. The price of contract 1 will be less than the price of contract 2. 

C is incorrect. The price of contract 1 will be less than the price of contract 2.

【Answer to question 2】C

【analysis】

C is correct. If the convenience yield is high, holding the underlying confers large benefits, thus the spot price can exceed the forward price for a forward contract with a value of zero. Based on the formula

Derivative exercise:Spot exchange rate and forward exchange rate

and an initial value Vt(0) of zero, large benefits γ explain why the spot price can exceed the forward price. 

A is incorrect. High interest rates make the forward contract more valuable. Thus the forward rate is above the spot rate.

 B is incorrect. High storage costs make the forward contract more valuable. Thus the forward rate is above the spot rate.

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