For the following problems assume the effective 6-month interest rate is 2%, the S&R 6-month forward price is $1020, and use these premiums for S&R options with 6 months to expiration.

3.3 Suppose you buy the S&R index for $1000 and buy a 950-strike put. Construct payoff and profit diagrams for this position. Verify that you obtain the same payoff and profit diagram by investing $931.37 in zero-coupon bonds and buying a 950-strike call.

strike call put 950 120.405 51.777 1000 93.809 74.201 1020 84.47 84.47 1050 71.802 101.214 1107 51.873 137.167