Q$2$a: Consider a $2-$year forward contract on a stock initialized in March $2022$ when the price was $$60.$ The stock pays dividends each year in May, September, and November. The dividends received are $$5,$ $$7,$ and $$9$ yearly. The annual interest rates in March $2022$ for $2$ months, $6$ months, and $10$ months are $2\mathrm{.}5\%,3\mathrm{.}5\%,$ and $5\%,$ respectively, and are flat for all maturities at $4\mathrm{.}5\%$ for the remaining period after that. Find the value of the forward contract at t$=0.$

Q$2$b: Suppose it$$s June $2022.$ What is the price of a forward contract on the same stock expiring in February $2024$ and initiated today when the stock price is $$65?$ The annual interest rates for $2$ months and $6$ months are $2\mathrm{.}5\%$ and $4\mathrm{.}5\%,$ respectively, and are flat for all maturities at $5\mathrm{.}5\%$ for the remaining period after that. These $2$ questions are linked and are derived from derivatives course. Answer them without using AI