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  • 标题:A Nonparametric Approach to Derivative Asset Pricing
  • 本地全文:下载
  • 作者:John Theal
  • 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
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