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On the (in-)dependence between financial and actuarial risks

Author

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  • Dhaene, Jan
  • Kukush, Alexander
  • Luciano, Elisa
  • Schoutens, Wim
  • Stassen, Ben

Abstract

Probability statements about future evolutions of financial and actuarial risks are expressed in terms of the ‘real-world’ probability measure P, whereas in an arbitrage-free environment, the prices of these traded risks can be expressed in terms of an equivalent martingale measure Q. The assumption of independence between financial and actuarial risks in the real world may be quite reasonable in many situations. Making such an independence assumption in the pricing world however, may be convenient but hard to understand from an intuitive point of view. In this pedagogical paper, we investigate the conditions under which it is possible (or not) to transfer the independence assumption from P to Q. In particular, we show that an independence relation that is observed in the P-world can often not be maintained in the Q-world.

Suggested Citation

  • Dhaene, Jan & Kukush, Alexander & Luciano, Elisa & Schoutens, Wim & Stassen, Ben, 2013. "On the (in-)dependence between financial and actuarial risks," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 522-531.
    • Handle: RePEc:eee:insuma:v:52:y:2013:i:3:p:522-531
    DOI: 10.1016/j.insmatheco.2013.03.003
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    References listed on IDEAS

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    1. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: theory," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 3-33, August.
    2. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: applications," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 133-161, October.
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    3. Jan Dhaene & Ben Stassen & Pierre Devolder & Michel Vellekoop, 2014. "The Minimal Entropy Martingale Measure in a Market of Traded Financial and Actuarial Risks," Tinbergen Institute Discussion Papers 14-104/IV/78, Tinbergen Institute.
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