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A one-year long forward contract on a non-dividend-paying stock is entered into when the stock price...

A one-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $41 and the risk-free rate of interest is 10% per annum with continuous compounding.

a. What are the forward price and the initial value of the forward contract?

b. Six months later, the price of the stock is $45 and the risk-free interest rate is still 10%. What are the forward price and the value of the forward contract?

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