Show graphically the profit and futures price relationships at expiration for the following positions on an S\&P 500 futures options with an exercise price of 2,250 , multiplier of \(\$ 250\), and call and put prices both equal to 75 . Evaluate at futures prices at expiration or when the contract is exercised of \(1,500, 1,750, 2,000, 2,250, 2,500, 2,750\), and 3,000.

a. Call purchase

b. Put purchase

c. Naked call write

d. Naked put write

e. Straddle purchase

f. Straddle write