A Simple Method to Price Window Reset Options

Yi-Long Hsiao

Department of Finance, National Dong Hwa University, Hualien, Chinese Taipei.

DOI: 10.4236/jmf.2013.31008                

Abstract

A window reset option is a kind of reset options with continuous reset constraints. The issue is very important for applying to employee stock options in finance or reservation options on truck-only toll lanes in traffic management. Our contribution of this study is that we proposed an accurate and simple method to price window reset options. The option price is formulated as the solution of a boundary value problem of the Black-Scholes PDE. The problem is then transformed into an initial-boundary value problem of the heat equation. Then Green’s function is applied to solve the heat equation problem. Finally, the option price is calculated numerically. A numerical example and some discussions are presented in this paper.

Keywords

Window Reset Option; Black-Scholes PDE; Boundary Integral Method; Green’s Function

Conflicts of Interest

The authors declare no conflicts of interest.

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