Convex Analysis in Financial Mathematics

Nonlinear Analysis 75 (2012) 1719-1736, 2011

18 Pages Posted: 13 Jun 2015

Date Written: May 5, 2011

Abstract

Using the language of convex analysis, we describe key results in several important areas of finance: portfolio theory, financial derivative trading and pricing and consumption based asset pricing theory. We hope to emphasize the importance of convex analysis in financial mathematics and also draw the attention of researchers in convex analysis to interesting issues in financial applications.

Keywords: Convex analysis, duality, mathematical finance

JEL Classification: C90

Suggested Citation

Zhu, Qiji Jim, Convex Analysis in Financial Mathematics (May 5, 2011). Nonlinear Analysis 75 (2012) 1719-1736, 2011, Available at SSRN: https://ssrn.com/abstract=2617536

Qiji Jim Zhu (Contact Author)

Western Michigan University ( email )

Kalamazoo, MI 49008
United States

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