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Extending Pricing Rules with General Risk Functions

Title:

Extending Pricing Rules with General Risk Functions

Balbás, Alejandro and Balbás, Raquel and Garrido, José (2008) Extending Pricing Rules with General Risk Functions. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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Abstract

The paper addresses pricing issues in imperfect and/or incomplete markets if the risk level of the hedging strategy is measured by a general risk function. Convex
Optimization Theory is used in order to extend pricing rules for a wide family of risk functions, including Deviation Measures, Expectation Bounded Risk Measures and Coherent Measures of Risk. For imperfect markets the extended pricing rules reduce the bid-ask spread. The paper ends by particularizing the findings so as to study with more detail some concrete examples, including the Conditional Value at Risk and some properties of the Standard Deviation.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Balbás, Alejandro and Balbás, Raquel and Garrido, José
Series Name:Department of Mathematics & Statistics. Technical Report No. 4/08
Corporate Authors:Concordia University. Department of Mathematics & Statistics
Institution:Concordia University
Date:April 2008
Keywords:Incomplete and imperfect market, Risk measure and deviation measure, Pricing rule, Convex optimization
ID Code:6688
Deposited By:DIANE MICHAUD
Deposited On:02 Jun 2010 12:05
Last Modified:08 Dec 2010 18:20
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