When are Path-Dependent Payoffs Suboptimal?

11 Pages Posted: 8 Dec 2009

See all articles by Stefan Kassberger

Stefan Kassberger

Frankfurt School of Finance & Management

Thomas Liebmann

Frankfurt School of Finance & Management

Date Written: September 21, 2009

Abstract

Generalizing a result by Cox and Leland (2000) and Vanduffel et al. (2008), this note shows that risk-averse investors with fixed planning horizon prefer path-independent payoffs in any financial market if the pricing kernel is a function of the underlying’s price at the end of the planning horizon. Generally, for every payoff which is not a function of the pricing kernel, there is a more attractive alternative that depends solely on the pricing kernel at the end of the planning horizon.

Keywords: Path dependence, optimal payoff, risk aversion, Esscher transform

Suggested Citation

Kassberger, Stefan and Liebmann, Thomas, When are Path-Dependent Payoffs Suboptimal? (September 21, 2009). Available at SSRN: https://ssrn.com/abstract=1476197 or http://dx.doi.org/10.2139/ssrn.1476197

Stefan Kassberger

Frankfurt School of Finance & Management ( email )

Adickesallee 32-34
Frankfurt am Main, 60322
Germany

Thomas Liebmann (Contact Author)

Frankfurt School of Finance & Management ( email )

Adickesallee 32-34
Frankfurt am Main, 60322
Germany