二项式CEV模型与希腊值

The Binomial CEV Model and the Greeks

Journal of Futures Markets · 2016
被引 7
ABS 3

中文导读

比较了多种二项式近似方案在常数弹性方差(CEV)过程下计算期权希腊值的效率,发现具有平滑单调收敛特性的扩展树二项式CEV模型最有效,可应用两点外推公式。

Abstract

Abstract This article compares alternative binomial approximation schemes for computing the option hedge ratios studied by Chung and Shackleton (2002), Chung, Hung, Lee, and Shih (2011), and Pelsser and Vorst (1994) under the lognormal assumption, but now considering the constant elasticity of variance (CEV) process proposed by Cox (1975) and using the continuous‐time analytical Greeks recently offered by Larguinho, Dias, and Braumann (2013) as the benchmarks. Among all the binomial models considered in this study, we conclude that an extended tree binomial CEV model with the smooth and monotonic convergence property is the most efficient method for computing Greeks under the CEV diffusion process because one can apply the two‐point extrapolation formula suggested by Chung et al. (2011). © 2016 Wiley Periodicals, Inc. Jrl Fut Mark 37:90–104, 2017

金融经济学期权定价衍生品数值方法波动率建模