PLEASE SHOW ALL WORK & CORRECT ANSWERS!!

An investor has just take a long position in a one year forward contract on a dividend paying Mock The stock is expected to pay a dividend of $6 per shate in five months and in eleven months. The stock price is currently selling for $100 and the risk-free rate of interest 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 (simple answer 375.50) 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 positon is (sample answer $5.50, or $5.50)