(Solution) - A stock purchase contract with a zero initial premium calls -(2025 Original AI-Free Solution)

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A stock purchase contract with a zero initial premium calls for you to pay for one share of stock in 3 years. The stock price is $100 and the 3-year interest rate is 3%.
a. If you expect the stock to have a zero dividend yield, what price in 3 years would you agree to pay for the stock?
b. If the stock has a 2% dividend yield, what price in 3 years would you agree to pay for the stock?
c. Now suppose that the stock purchase contract calls for you to pay $100 in 3 years for one share of stock. What annual payment on the stock purchase contract would be fair if the dividend yield on the stock is zero? What if it is 4%?