Final answer:
The forward price of a one-year contract on a non-dividend-paying stock with a current price of $40 and risk-free rate of 10% is $44.21. The initial value of the forward contract is $0.
Step-by-step explanation:
The forward price of the contract is calculated using the formula F = Se^(rT), where S is the current stock price, r is the risk-free interest rate, and T is the time to delivery. Plugging in the values, we get F = $40e^(0.10*1) = $40e^(0.10) = $40 * 1.105170918 = $44.21. The initial value of a forward contract is zero since no money changes hands when the contract is entered into; the contract value will change over time as the underlying asset price changes relative to the forward price.
The forward price of a contract is determined based on the spot price of the asset, the risk-free interest rate, and the time to expiration. In this case, the stock price is $40 and the risk-free rate of interest is 10% per annum with continuous compounding.