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A Note on the Ruin Problem with Risky Investments

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  • David Maher
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    Abstract

    We reprove a result concerning certain ruin in the classical problem of the probability of ruin with risky investments and several of it's generalisations. We also provide the combined transition density of the risk and investment processes in the diffusion case.

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    File URL: http://arxiv.org/pdf/math/0506127
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number math/0506127.

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    Date of creation: Jun 2005
    Date of revision: Jul 2005
    Handle: RePEc:arx:papers:math/0506127

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    Web page: http://arxiv.org/

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    1. Paulsen, Jostein, 1998. "Sharp conditions for certain ruin in a risk process with stochastic return on investments," Stochastic Processes and their Applications, Elsevier, vol. 75(1), pages 135-148, June.
    2. Paulsen, Jostein, 1993. "Risk theory in a stochastic economic environment," Stochastic Processes and their Applications, Elsevier, vol. 46(2), pages 327-361, June.
    3. Kalashnikov, Vladimir & Norberg, Ragnar, 2002. "Power tailed ruin probabilities in the presence of risky investments," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 211-228, April.
    4. Anna Frolova & Serguei Pergamenshchikov & Yuri Kabanov, 2002. "In the insurance business risky investments are dangerous," Finance and Stochastics, Springer, vol. 6(2), pages 227-235.
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