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Boring Unreliable Gadget Inc.'s (BUG) stock price S is $50 today. The stock is expected to pay dividends of $2 after 1 months and $2.75

Boring Unreliable Gadget Inc.'s (BUG) stock price S is $50 today. The stock is expected to pay dividends of $2 after 1 months and $2.75 after 4 months.

a. If the continuously compounded interest rate is 4% pa, what is the price of a six-month forward contract on BUG?

b. Five months later, the price of the stock is $65. The interest rate remains the same as in Part (a).

What is the forward price and value of the forward contract?

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