A **2**-year futures contract on a stock paying a continuous dividend yield of **3**% pa was bought when the underlying stock price was $**10** and the risk free rate was **10**% per annum with **continuous compounding**. Assume that investors are risk-neutral, so the stock's total required return is the risk free rate.

Find the forward price ##(F_2)## and value of the contract ##(V_0)## initially. Also find the value of the contract in 6 months ##(V_{0.5})## if the stock price rose to $**12**.