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Instead of going long a wheat forward contract @ $6/bushel (expiring in 6 months), Betty buys a call option with a strike price of


 

Instead of going long a wheat forward contract @ $6/bushel (expiring in 6 months), Betty buys a call option with a strike price of $6 (expiring in 6 months). She pays $1 for the option and the continuously compounded interest rate r = 5.25%. The price of wheat 6 months from now is ST. For what range of prices is Betty glad she bought the option instead of the forward contract? (Prices to the nearest $0.01.)

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SOLUTION Bettys payoff from buying the call option with a strike price of 6 is given by Payoff maxST ... blur-text-image
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