Pricing American Options a Duality Approach

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Pricing American Options a Duality Approach
Leonid Kogan
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E j=i -j-i B, B, B, 5, _i B, _i S, _, V, 5j -^J 5j-l -^J-l < K)+|Vb-K)|+EoJ](E, _i j=i 5. 5, Bj-i Bt-. , where the second inequaUty is due to the supermartingale property of the discounted option price process, Vf, and the last step follows from the triangle inequality. The result of Theorem 2 then follows. A. 2 Proof of Theorem 3 At time t, the following six mutually exclusive events are possible: (i) Qt

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