Question: SINDY index is currently at I = 11,057. European options on SINDY have a strike price K = $11,000, a maturity T = 45 days, a dividend yield D = 1.5 percent per year, the risk-free interest rate r = 5 percent per year, and the estimated implied volatility S = 16 percent per year.
a. Compute the price of a call option using the Merton formula.
b. Compute the price of a put option using the appropriate version of put-call parity.