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yanalaym
2 months ago
14

A stock index is valued at $800 and pays a continuous dividend at the rate of 3% per year. The 6-month futures contract on that

index is trading at $758. The continuously compounded risk free rate is 2.5% per year. There are no transaction costs or taxes. Is the futures contract priced so that there is an arbitrage opportunity? If yes, which of the following numbers comes closest to the arbitrage profit you could realize by taking a position in one futures contract?
Business
1 answer:
marusya05 [3.7K]2 months ago
8 0

Response:

Potential options:

A. 38

B. 40

C. 42

D. No arbitrage opportunity exists.

The answer is B

Explanation:

Based on the provided information, the no-arbitrage futures price is calculated as follows: 800e(0.025-0.03)*0.50 =798−As the market price of the futures contract is lower than this calculated price, an arbitrage opportunity is present. It is possible to purchase the futures contract and sell the index.−

The arbitrage profit amounts to 798 - 758 = 40

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