
Explanation:
To find the correct price of the futures contract, we use the formula:
Since the actual futures price of 0.3368 is higher than the correct price, there is an arbitrage opportunity that can be exploited by selling the overpriced contract. The investor would want to sell the futures contract, borrow at the risk-free rate, and buy the spot asset. The investor would pay off the loan in three months with the proceeds from delivering the cotton against the futures and would have a risk-free profit.
(Book 3, Module 37.2, LO 37.b)
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Question 42
The current spot price of cotton is $0.325 per pound. The annual risk-free rate is 3.0%, and the cost to store and insure cotton is $0.002 per pound per month. A 3-month futures contract for cotton is trading at $0.3368 per pound. Is there an arbitrage opportunity available, and if so, how should an investor take advantage of it?
A
There are no arbitrage opportunities available.
B
Yes; the investor should sell the futures contract, borrow at the risk-free rate, and buy the spot asset.
C
Yes; the investor should buy the futures contract, sell the spot asset, and lend at the risk-free rate.
D
Yes; the investor should buy the futures contract, borrow at the risk-free rate, and buy the spot asset.
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