Options valuation by using radial basis function approximation

Yumi Goto

doi:10.1016/j.enganabound.2007.02.001

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Options valuation by using radial basis function approximation

2007-10-01

PRE

DOI：10.1016/j.enganabound.2007.02.001

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Abstract

En 中文

This paper describes the valuation scheme of European, barrier, and Asian options of single asset by using radial basis function approximation. The option prices are governed with Black-Scholes equation. The equation is discretized with Crank-Nicolson scheme and then, the option price is approximated with the radial basis functions with unknown parameters. In the European and the barrier options, the prices are governed with Black-Scholes equation. The governing option of the Asian option, however, is different from them of the others. In that case, one has to adopt the other radial basis functions than that for the original Black-Scholes equation. Finally, numerical results are compared with theoretical and finite difference solutions in order to confirm the validity of the present formulation. (C) 2007 Elsevier Ltd. All rights reserved.

Keywords:

option contract

European option

barrier option

asian option

radial basis function

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