Lie-algebraic approach for pricing moving barrier options with time-dependent parameters

12Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

In this paper we apply the Lie-algebraic technique for the valuation of moving barrier options with time-dependent parameters. The value of the underlying asset is assumed to follow the constant elasticity of variance (CEV) process. By exploiting the dynamical symmetry of the pricing partial differential equations, the new approach enables us to derive the analytical kernels of the pricing formulae straightforwardly, and thus provides an efficient way for computing the prices of the moving barrier options. The method is also able to provide tight upper and lower bounds for the exact prices of CEV barrier options with fixed barriers. In view of the CEV model being empirically considered to be a better candidate in equity option pricing than the traditional Black-Scholes model, our new approach could facilitate more efficient comparative pricing and precise risk management in equity derivatives with barriers by incorporating term-structures of interest rates, volatility and dividend into the CEV option valuation model. © 2005 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Lo, C. F., & Hui, C. H. (2006). Lie-algebraic approach for pricing moving barrier options with time-dependent parameters. Journal of Mathematical Analysis and Applications, 323(2), 1455–1464. https://doi.org/10.1016/j.jmaa.2005.11.068

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free