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Monotone and Cash-Invariant Convex Functions and Hulls Damir Filipović (joint with Michael Kupper)...
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Monotone and Cash-Invariant Convex Functions and Hulls Damir Filipović (joint with Michael Kupper) University of Munich www.math.lmu.de/~filipo Advances in Mathematics of Finance Second General AMaMeF Conference and Banach Center Conference Bedlewo, Poland, 2 May 2007
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Transcript of Monotone and Cash-Invariant Convex Functions and Hulls Damir Filipović (joint with Michael Kupper)...
Monotone and Cash-Invariant Convex Functions and Hulls
Damir Filipović(joint with Michael Kupper)
University of Munichwww.math.lmu.de/~filipo
Advances in Mathematics of FinanceSecond General AMaMeF Conference and
Banach Center ConferenceBedlewo, Poland, 2 May 2007
2 May 2007 Damir Filipovic, LMU 2
Overview
• Motivating examples
• Convex monotone cash-invariant functions
• Monotone and cash-invariant hulls
• Examples
2 May 2007 Damir Filipovic, LMU 6
Program
Characterize convex monotone functions
Characterize convex cash-invariant functions
Construct monotone and cash-invariant hulls
What can we learn from it?Construct new and rediscover old convex risk
measures