Pricing European Barrier Options

Author

Peter W. Buchen

Status

Research Report 96-25
Date: 13 June 1996

Abstract

A new method is described to price barrier options which incorporate a constant rebate. The method exploits the symmetries and properties of elementary solutions of the Black-Scholes partial differential equation. The rebate and non-rebate terms obtained agree with other published solutions, but are obtained without recourse to a single transformation or integration. The complexity of the solution methods previously published are shown to be completely unnecessary.

Key phrases

option pricing, financial mathematics.

Content

The paper is available in the following forms:
TeX dvi format:
1996-25.dvi.gz (11kB) or 1996-25.dvi (28kB)

PostScript:
1996-25.ps.gz (32kB) or 1996-25.ps (111kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics