Because options are zero-sum games, the writers payoffs are just the negatives of the sellers. Demonstrate the

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Because options are zero-sum games, the writer’s payoffs are just the negatives of the sellers. Demonstrate the following (by algebraic arguments or by using numbers):
a. The call seller’s payoff at expiration is −max(0, S – K) = min(0, K – S)
b. The put seller’s payoff is −max(0, K – S) = min(0, S – K)
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