An investor can buy/sell a call option and a put option with the same strike price and expiration date in order to simulate a standard forward contract.
A synthetic forward contract creates an offsetting forward position by combining call and put options with the same strike price and expiration date.
A forward contract is a customizable derivative contract between two parties to purchase or sell an asset on a future date at a defined price. Forward contracts may be customized to include a particular commodity, quantity, and delivery date.
Assume the delivery cost is k and the delivery date is t. When both options have strike price k and exercise date t, a forward contract is formed by purchasing a European call and selling a European put. Under all conditions, this portfolio produces a payout of st -k, where st is the stock price at time t. Assume FO is the forward price. If k=FO, the new forward contract has no value. When the strike price is F0, the price of a call matches the price of a put.
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