A one-year futures contract on a non-dividend-paying stock is entered into when the cash price for the stock is $30 and the risk-free interest rate is 10%.
a. What is the futures price today and what is the value of this futures contract?
b. Six month later, the stock price rises to $35 and the risk-free interest rate rises to 8%. What is the futures price and what is the value of this futures contract at that time?