A 9-month long position of a forward contract on a stock is entered into today, when the stock price is $82. The stock has expected dividends of $0.5 in 2 months, $1.0 in 5 months, and $1.5 in 7 months respectively. Assume that the risk-free interest rate is 3.0% per annum.

(a). What is the forward price today?

(b). What is the initial value of the forward contract today?

(c). 3 months later, the price of the stock decreases to $75 and the risk-free interest rate remains the same. What are the forward price and the value of the forward position then?