Optimal Numeraires for Risk Measures
Can the usage of a risky numeraire with a greater than risk free expected return reduce the capital requirements in a solvency test? I will show that this is not the case. In fact, under a reasonable technical condition, there exists no optimal numeraire which yields smaller capital requirements than any other numeraire.
|Date of creation:||01 Jan 2007|
|Date of revision:|
|Publication status:||Published as: Filipovic, D., 2008, "Optimal Numeraires for Risk Measures", Mathematical Finance, 18(2), 333-336.|
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- Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
- Filipovic, Damir & Kupper, Michael, 2007. "Monotone and cash-invariant convex functions and hulls," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 1-16, July.
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