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Assume that (B,S) is a one-dimensional financial market satisfying the NA principles. Let us consider put and call (options) with maturity T. For each of

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Assume that (B,S) is a one-dimensional financial market satisfying the NA principles. Let us consider put and call (options) with maturity T. For each of the following portfolios define and draw their payoffs at maturity T as a function of S : (a) Short one the risky asset and long two calls with strike price K (this combination is called a straddle); (b) Long one call and two puts, all with strike price K (strip); (c) Long one put and two calls, all with strike price K (strap); (d) Long one put with strike price K1 and one call with strike price K2, where K1>K2 (strangle); (e) As (d) but also short one call and one put with strike price K=21(K1+K2) (butterfly spread); (f) Long one call with strike K1 and short one call with strike K2, consider both K1>K2 and K1

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