2006JOURNAL OF SHENZHEN UNIVERSITY SCIENCE AND ENGINEERINGRequires access

Improvement of using binomial tree method in pricing options

Chen Yong

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Abstract

The Binomialtreemethodisoneofthebasicmethodsofpricingoptions. Sincethepayofffunctions in financial market are often not smooth,the rate of convergence of pricing by the binomial model is reduced. The improvements on the accuracy of pricing options by binomial tree method,such as Black-scholes adjustment and extrapolation,were presented and discussed in detail. By using these techniques,the efficiency of computing in binomial method for pricing options can be significantly improved. Experimental results demostrate the effectivess of these improvements.

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What this paper is about

The Binomialtreemethodisoneofthebasicmethodsofpricingoptions. Sincethepayofffunctions in financial market are often not smooth,the rate of convergence of pricing by the binomial model is reduced. The improvements on the accuracy of pricing options by binomial tree method,such as Black-scholes adjustment and extrapolation,were presented and discussed in detail. By using these techniques,the efficiency of computing in binomial method for pricing options can be significantly improved. Experimental results demostrate the effectivess of these improvements.

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Available abstract

The Binomialtreemethodisoneofthebasicmethodsofpricingoptions. Sincethepayofffunctions in financial market are often not smooth,the rate of convergence of pricing by the binomial model is reduced. The improvements on the accuracy of pricing options by binomial tree method,such as Black-scholes adjustment and extrapolation,were presented and discussed in detail. By using these techniques,the efficiency of computing in binomial method for pricing options can be significantly improved. Experimental results demostrate the effectivess of these improvements.

Key concepts: Binomial options pricing model, Trinomial tree, Extrapolation, Binomial (polynomial), Finite difference methods for option pricing, Valuation of options, Black–Scholes model, Mathematics

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