Question: Consider the data given in problem for futures contracts on SINDY Index. If the forward price is F = $10,231, show how you can make arbitrage profits or explain why you cannot.
Problem: Consider SINDY Index obtained by averaging stock prices and a synthetic index SINDY spot that replicates its performance.
(1) SINDY's current level I is 10,000, and the synthetic index's price S is $10,000.
(2) A newly written forward contract on the index matures after T = 0.5 years.
(3) The continuously compounded interest rate r is 5 percent per year.
(4) Stocks constituting SINDY spot paid $190 of dividends last year and are expected to pay the same this year.
a. Compute the dividend yield D on SINDY spot.
b. Compute the forward price F.