A share of stock is currently worth $$595.$ You plan to purchase your first share in one year, on your graduation day. You are concerned that the price will rise by then. To hedge this risk, you enter into a forward contract to buy the share of stock in one year. Assume that the risk$-$free rate is $3\mathrm{.}5$ percent $($EAR$,$ annual compounding$).$

$$ Calculate the appropriate price at which you can contract to buy the stock in one year.

$$ Assume that eight months into the contract, the stock price is $$570.$ Calculate your gain or loss from the forward contract.

$$ Suppose that at expiration, the stock price is $$580.$ Calculate the value of the forward contract at expiration.