Suppose you are a market maker (dealer) in TP index forward contracts. The TP index spot price is 1100, the risk-free rate is 5%, and the dividend yield on the index is 1.5%. Both the risk-free rate and the dividend yield are continuously compounded.

(a) (5 points) What is the no-arbitrage forward price for delivery in 9 months?

(b) (5 points) Suppose a customer wishes to enter a short index futures position. If you take the opposite position, demonstrate in the table of cash flow how you would hedge your position using the index and borrowing/lending.

(c) (5 points) Suppose a customer wishes to enter a long index futures position. If you take the opposite position, demonstrate in the table of cash flow how you would hedge your position using the index and borrowing/lending.