3. Suppose that the BIST100 Index has a level of 5,400. The continuously compounded rate of return on a 1year Treasury bill is 15%. You wish to hedge an 10,000,000 portfolio that has a beta of 1.1 and a correlation of 0.95 with BIST100. One index futures contract is on 100 times the index and the index has a 5% expected dividend yield this year.

a. What should be the 1year futures price for the BIST100 index?

b. How many index contracts should you short to hedge your portfolio?

c. What is the expected value and variance of the rate of return on the hedged portfolio?