Static hedging and pricing American knock-in put options

San-Lin Chung, Pai-Ta Shih and Wei-Che Tsai

Journal of Banking & Finance, 2013, vol. 37, issue 1, 191-205

Abstract: This paper extends the static hedging portfolio (SHP) approach of Derman et al. (1995) and Carr et al. (1998) to price and hedge American knock-in put options under the Black–Scholes model and the constant elasticity of variance (CEV) model. We use standard European calls (puts) to construct the SHPs for American up-and-in (down-and-in) puts. We also use theta-matching condition to improve the performance of the SHP approach. Numerical results indicate that the hedging effectiveness of a bi-monthly SHP is far less risky than that of a delta-hedging portfolio with daily rebalance. The numerical accuracy of the proposed method is comparable to the trinomial tree methods of Ritchken (1995) and Boyle and Tian (1999). Furthermore, the recalculation time (the term is explained in Section 1) of the option prices is much easier and quicker than the tree method when the stock price and/or time to maturity are changed.

Keywords: American knock-in options; Static hedging portfolio; Theta-matching condition; CEV model; Hedging effectiveness (search for similar items in EconPapers)
JEL-codes: G13 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jbfina:v:37:y:2013:i:1:p:191-205

DOI: 10.1016/j.jbankfin.2012.08.019

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