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Show that the payoff of long position in a straddle centered at strike K2 plus a loan for the present value of (K2 K1) is

Show that the payoff of long position in a straddle centered at strike K2 plus a loan for the present value of (K2 K1) is equal to a short position in a butterfly spread at strikes K1, K2 and K3 plus a strangle at strikes K1 and K3.

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