For problem 1 to 7, we assume the effective 1 year interest rate is 4% and the 336R 6-month forward price $1020, and the use the following premiums, if necessary, for 836R options with 6 months to expiration: 00350) = 120405, 00000) = 93.800, C(1020) = 84.470, (311050) = 71.802 P(950) = 51.777, P(1000) = 74.201, P(1020) = 84.470, P(1050) = 101.214 where C(K) denotes by the call option premium with strike price K dollars and P(K] denotes by the put option premium with strike price If dollars. 1. Suppose that you buy the 535R index for $1000, buy a 1000-strike put, and borrow $980.39. Graph the result payoff and prot diagrams for the combined position. 2. Suppose you buy the 5&R index for $1000 and buy a. 950-stri1ie put. Construct payoff and prot diagrams for this position. Verify the you obtain the same payoff and prot diagram by investing $931.37 in zero-coupon bonds and buying a 950hstrike call