Journal Articles

When Does Extra Risk Strictly Increase the Value of Options?

2007, Review of Financial Studies

Eric Bennett Rasmusen

Abstract

It is well known that risk increases the value of options. This paper makes that precise in a new way. The conventional theorem says that the value of an option does not fall if the underlying option becomes riskier in the conventional sense of the mean-preserving spread. This paper uses two new definitions of ``riskier'' to show that the value of an option strictly increases (a) if the underlying asset becomes ``pointwise riskier,'' and (b) only if the underlying asset becomes ``extremum riskier.''.

Citation

Rasmusen, Eric, Bennett (2007), "When Does Extra Risk Strictly Increase the Value of Options?" The Review of Financial Studies, 20(5)  September, 1647-1667.

Kelley School of Business

Faculty & Research