The spot price of an investment asset that provides no income is $50 and the risk-free rate for all maturities (with continuous compounding) is 8%. [show your work]

1. What is the 3-year forward price?
2. What if the asset provides an income of $4 at the end of the 1st year and at the end of the 2nd year. What is the 3-year forward price in that situation?
3. In question 1 (above) what is the value of a 3-year forward contract with a delivery price of $50?