PLEASE answer all parts, showing work!!

An Investor has just take a long position in a one year forward contract on a dividend paying stock. The stock is expected to pay a dividend of S6 per share in five months and in eleven months. The stock price is currently seling for $100 and the risk-free rate of interest is 7% per year with continuous compounding for all maturities. a. What are the forward price and the initial value of the forward contract? The forward price is (sample answer: $75.50) and the initial value is (sample answer: 575,50) b. Six months later, the price of the stock is $105 and the risk-free rate stays the same. What are the forward price and the value of the position in the forward contract? Now the forward price is (sample answer $75 50) and the value of the futures position is (sample answer: *5550, or $5.50)