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A single stock futures contract on a nondividend-paying stock with current price

ID: 2641291 • Letter: A

Question

A single stock futures contract on a nondividend-paying stock with current price $110 has a maturity of one year.

If the T-bill rate is 4.0%, what should the futures price be? (Round your answer to 2 decimal places.)

What should the futures price be if the T-bill rate is still 4.0% and the maturity of the contract is three years? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

What if the interest rate is 5.1% and the maturity of the contract is three years? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

A single stock futures contract on a nondividend-paying stock with current price $110 has a maturity of one year.

Explanation / Answer

Future price = Spotprice * (1+r)^T

r = risk free rate and T = years to maturity

a)

future price = 110 * (1+4%) = $114.40

b)

future price = 110 * (1+4%)^3 = $123.74

c)

future price = 110 * (1+5.1%)^3 = $127.70

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