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Pricing American-Style Derivatives with European Call Options
Scott B. Laprise, Michael C. Fu, Steven I. Marcus, Andrew E. B. Lim and Huiju Zhang
Vol. 52, No. 1 (Jan., 2006), pp. 95-110
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/20110486
Page Count: 16
You can always find the topics here!Topics: Call options, Secant function, Interpolation, Tangents, Pricing, Put options, Approximate values, Tangent lines, Management science, Simulations
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We present a new approach to pricing American-style derivatives that is applicable to any Markovian setting (i.e., not limited to geometric Brownian motion) for which European call-option prices are readily available. By approximating the value function with an appropriately chosen interpolation function, the pricing of an American-style derivative with arbitrary payoff function is converted to the pricing of a portfolio of European call options, leading to analytical expressions for those cases where analytical European call prices are available (e.g., the Merton jump-diffusion process). Furthermore, in many settings, the approach yields upper and lower analytical bounds that provably converge to the true option price. We provide computational results to illustrate the convergence and accuracy of the resulting estimators.
Management Science © 2006 INFORMS