GOOD DEAL BOUNDS WITH CONVEX CONSTRAINTS

Author:

ARAI TAKUJI1

Affiliation:

1. Department of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo 108-8345, Japan

Abstract

We investigate the structure of good deal bounds, which are subintervals of a no-arbitrage pricing bound, for financial market models with convex constraints as an extension of Arai & Fukasawa (2014). The upper and lower bounds of a good deal bound are naturally described by a convex risk measure. We call such a risk measure a good deal valuation; and study its properties. We also discuss superhedging cost and Fundamental Theorem of Asset Pricing for convex constrained markets.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Economics, Econometrics and Finance,Finance

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