Dilip Madan: Risk Management using the Valuation of Risk Exposure Variation
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FULL TITLE
Risk Management using the Valuation of Risk Exposure Variation based on General Measure Distortions
ABSTRACT
Beginning by highlighting the unfortunate costs associated with assuming the law of one price, the fundamentals of arbitrage free two price economies are developed. Operationally they lead us towards the use of probability distortions. Questioning the relevance of probability leads us to the more genegal concept of distorting general variation measures that are used to describe risk by its variation exposure. Risk management is then rewritten with the objective of maximizing the lower prudential value of variation exposure as seen from a two price economy perspective. Illustrative examples for designing hedges and portfolios are presented.
BIOGRAPHY
Dilip Madan is Professor of Finance at the Robert H. Smith School of Business. He specializes in Mathematical Finance. Currently he serves as a consultant to Morgan Stanley, Meru Capital and Caspian Capital. He has also consulted with Citigroup, Bloomberg, the FDIC and Wachovia Securities. He is a founding member and Past President of the Bachelier Finance Society. He received the 2006 von Humboldt award in applied mathematics, was the 2007 Risk Magazine Quant of the year, received the 2008 Medal for Science from the University of Bologna and held the 2010 Eurandom Chair. He is Man- aging Editor of Mathematical Finance, Co-editor of the Review of Derivatives Research, Associate Editor of the Journal of Credit Risk and Quantitative Finance. His work is dedicated to improving the quality of financial valuation models, enhancing the performance of investment strategies, and advancing the efficiency of risk allocation in modern economies. Recent major contributions have appeared inMathematical Finance, Finance and Stochastics, Quantitative Finance, the Journal of Computational Finance, The International Journal of Theoretical and Applied Finance, The Journal of Risk, The Journal of Credit Risk among other journals.