期刊名称:Quantitative and Qualitative Analysis in Social Sciences
印刷版ISSN:1752-8925
出版年度:2007
卷号:1
期号:2
页码:1-24
出版社:Quantitative and Qualitative Analysis in Social Sciences
摘要:We utilize the method of Bertholon, Monfort and Pegoraro (2006) for pricing European call optionsbased on nonparametric estimation of returns. Densities are estimated using kernel estimation onrandom samples of a Laplace and mixture of normal distributions. Additionally, an exponential-a.neform of the stochastic discount factor allows derivation of closed-form solutions for option prices.Results of the closed form calculations are compared with those calculated using the nonparametricapproach. Both are compared to the Black-Scholes formula. Using the Laplace and mixed Gaussiandistribution, the nonparametric estimation shows evidence of mispricing by the Black-Scholes mo del.This technique requires no assumption regarding the form of return distributions
关键词:Derivative pricing; European options; nonparametric kernel estimation; Laplace distribu-tion; leptokurtic; mixture of normal distributions; nonparametric pricing; stochastic discount factor