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Scenario Analysis for a Multi-Period Diffusion Model of Risk

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  • Malinovskii, Vsevolod K.

Abstract

This paper extends and develops the results of a previous paper Malinovskii (2007). Dealing with a simplistic diffusion multi-year model of insurance operations, this paper illustrates the adaptive control approach when the object of control is the balance of solvency and equity. Compared to the previous paper, a new element is the “scenario of nature”, or the incomplete knowledge of future risk, which is quite often the case in insurance. It introduces a new and inevitable randomness in the model and leads to a qualitative difference in its behavior.

Suggested Citation

  • Malinovskii, Vsevolod K., 2009. "Scenario Analysis for a Multi-Period Diffusion Model of Risk," ASTIN Bulletin, Cambridge University Press, vol. 39(2), pages 649-676, November.
    • Handle: RePEc:cup:astinb:v:39:y:2009:i:02:p:649-676_00
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    Cited by:

    1. Vsevolod K. Malinovskii, 2014. "Elementary Bounds on the Ruin Capital in a Diffusion Model of Risk," Risks, MDPI, vol. 2(3), pages 1-11, July.
    2. Malinovskii, Vsevolod K., 2013. "Level premium rates as a function of initial capital," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 370-380.
    3. Malinovskii, Vsevolod K., 2014. "Annual intrinsic value of a company in a competitive insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 310-318.
    4. Malinovskii, Vsevolod K., 2012. "Equitable solvent controls in a multi-period game model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 599-616.

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