A stock is expected to pay a dividend of $1 per share in 2 months and in 5 months. The stock price is $60, and the risk-free rate of interest is 5% per annum with continuous compounding for all...

A stock is expected to pay a dividend of $1 per share in 2 months and in 5 months. The stock price is $60, and the risk-free rate of interest is 5% per annum with continuous compounding for all maturities. An investor has just taken a short position in a 6-month

1. What are the forward price and the initial value of the forward contract? [Hint: what's the value of a forward contract at the initiation of the contract?

2.Three months later, the price of the stock is $52 and the risk-free rate of interest is still 8% per annum. What is the forward price of a new forward contract with the same expiration date as above? What is the value of the short position in the old