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Suppose that the effective 6-month interest rate is 2% and the S&R 6-month forward price is $1020. The premiums for S&R options with 6 months

Suppose that the effective 6-month interest rate is 2% and the S&R 6-month forward price is $1020. The premiums for S&R options with 6 months to expiration are as follows:

Strike Call Put
$950 $120.405 $51.777
1000 93.809

74.201

(1) Construct payoff and profit diagrams for the purchase of a 950-strike S&R call and sale of a 1000-strike S&R call (call spread). Verify that you obtain exactly the same profit diagram for the purchase of a 950-strike S&R put and sale of a 1000-strike S&R put (put spread).

(2) What is the difference in the payoff diagrams for the call and put spreads?

(3) Why is there a difference?

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