Consider a stock whose price on January 1,2023 is $120 and which will pay a dividend of $1 on on July 1, 2023 and a dividend of $2 on October 1, 2023. Assume the ex-dividend date is the payment date. The interest rate is 12%. (a) Determine the forward price for a contract written on January 1, 2023 with a delivery date of November 1,2023. (b) Determine how much the long side of a forward contract written on January 1, 2023 would be worth October 1, 2023 right after the dividend is paid if the stock price is $100