When Does Extra Risk Strictly Increase the Value of Options?
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.''
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- Yaacov Z. Bergman & Bruce D. Grundy & Zvi Wiener, .
"General Properties of Option Prices (Revision of 11-95) (Reprint 058),"
Rodney L. White Center for Financial Research Working Papers
1-96, Wharton School Rodney L. White Center for Financial Research.
- Yaacov Z. Bergman & Bruce D. Grundy & Zvi Wiener, . "General Properties of Option Prices (Revision of 11-95) (Reprint 058)," Rodney L. White Center for Financial Research Working Papers 01-96, Wharton School Rodney L. White Center for Financial Research.
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