A short forward contract on an asset plus a long position in a European call option on the asset with a strike price equal to the forward price is equivalent to
A. A short position in a call option
B. A short position in a put option
C. A long position in a put option
D. None of the above
C
Suppose that ST is the final asset price and K is the strike price/forward price. A short forward contract leads to a payoff of K?ST. A long position in a European call option leads to a payoff of max(ST?K, 0). When added together we see that the total position leads to a payoff of max(0, K?ST), which is the payoff from a long position in a put option. C can also be seen to be true by plotting the payoffs as a function of the final stock price.
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