PAT - The Payoff Advantage Tool
Put vs. Call

Domestic Payoff: Put option on the exchange rate.

Formula: Hd = max (Xd - Sd, 0)

Xd = 1.15

Foreign Payoff: Call option on the exchange rate.

There is a pairing for European Call and Put options on the opposite sides of the currency exchange market that have financially equivalent payoffs. A call option on the domestic side of the market can always be matched by a put option with a financially equivalent payoff on the foreign side of the market. As can be seen from the diagram, PAT can easily identify such financially equivalent payoffs.

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