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A note on representation of BSDE-based dynamic risk measures and dynamic capital allocations

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  • Lesedi Mabitsela
  • Calisto Guambe
  • Rodwell Kufakunesu

Abstract

In this paper, we provide a representation theorem for dynamic capital allocation under It{\^o}-L{\'e}vy model. We consider the representation of dynamic risk measures defined under Backward Stochastic Differential Equations (BSDE) with generators that grow quadratic-exponentially in the control variables. Dynamic capital allocation is derived from the differentiability of BSDEs with jumps. The results are illustrated by deriving a capital allocation representation for dynamic entropic risk measure and static coherent risk measure.

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  • Lesedi Mabitsela & Calisto Guambe & Rodwell Kufakunesu, 2018. "A note on representation of BSDE-based dynamic risk measures and dynamic capital allocations," Papers 1808.04611, arXiv.org.
    • Handle: RePEc:arx:papers:1808.04611
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    References listed on IDEAS

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