The Foster-Hart measure of riskiness for general gambles
AbstractFoster and Hart propose a measure of riskiness for discrete random variables. Their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many continuous random variables, the risk measure is equal to the worst--case risk measure, i.e. the maximal possible loss incurred by that gamble. For many discrete gambles with a large number of values, the Foster--Hart riskiness is close to the maximal loss. We give a simple characterization of gambles whose riskiness is or is close to the maximal loss.
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Risk measures; operational; bankruptcy; continuous random variable;
Other versions of this item:
- Frank Riedel & Tobias Hellmann, 2013. "The Foster-Hart Measure of Riskiness for General Gambles," Papers 1301.1471, arXiv.org.
- Frank Riedel & Tobias Hellmann, 2013. "The Foster-Hart Measure of Riskiness for General Gambles," Working Papers 474, Bielefeld University, Center for Mathematical Economics.
- Hellmann, Tobias & Riedel, Frank, 2013. "The Foster-Hart Measure of Riskiness for General Gambles," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79752, Verein für Socialpolitik / German Economic Association.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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