A one-year-long forward contract on a non-dividend-paying stock

is entered into when the stock price was $50 and the risk-free interest rate is

6% per annum (semi-annually compounded APR).

(a) What is the forward price and the initial value of the forward contract at

the time of signing?

(b) Six months after the signing of the forward contract, the price of the

stock is $55 and the risk-free interest rate is still 6%. What is the new

market forward price for the same contract (which will now mature in 6

months)? What is the value of the forward contract signed 6 months

ago?