Non-parametric method for European option bounds

Hsuan Chu Lin, Ren Raw Chen, Oded Palmon

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)


There is much research whose efforts have been devoted to discovering the distributional defects in the Black-Scholes model, which are known to cause severe biases. However, with a free specification for the distribution, one can only find upper and lower bounds for option prices. In this paper, we derive a new non-parametric lower bound and provide an alternative interpretation of Ritchken's (J Finance 40:1219-1233, 1985) upper bound to the price of the European option. In a series of numerical examples, our new lower bound is substantially tighter than previous lower bounds. This is prevalent especially for out of the money options where the previous lower bounds perform badly. Moreover, we present how our bounds can be derived from histograms which are completely non-parametric in an empirical study. We discover violations in our lower bound and show that those violations present arbitrage profits. In particular, our empirical results show that out of the money calls are substantially overpriced (violate the lower bound).

頁(從 - 到)109-129
期刊Review of Quantitative Finance and Accounting
出版狀態Published - 2012 1月

All Science Journal Classification (ASJC) codes

  • 會計
  • 一般商業,管理和會計
  • 金融


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