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The effect of interest on negative surplus

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  • Dickson, David C. M.
  • Egidio dos Reis, Alfredo D.

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  • Dickson, David C. M. & Egidio dos Reis, Alfredo D., 1997. "The effect of interest on negative surplus," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 1-16, October.
  • Handle: RePEc:eee:insuma:v:21:y:1997:i:1:p:1-16
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    References listed on IDEAS

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    1. Dickson, David C.M. & dos Reis, Alfredo D. Egídio & Waters, Howard R., 1995. "Some Stable Algorithms in Ruin Theory and Their Applications," ASTIN Bulletin, Cambridge University Press, vol. 25(2), pages 153-175, November.
    2. Picard, Philippe, 1994. "On some measures of the severity of ruin in the classical Poisson model," Insurance: Mathematics and Economics, Elsevier, vol. 14(2), pages 107-115, May.
    3. Gerber, Hans U., 1990. "When does the surplus reach a given target?," Insurance: Mathematics and Economics, Elsevier, vol. 9(2-3), pages 115-119, September.
    4. Egidio dos Reis, Alfredo, 1993. "How long is the surplus below zero?," Insurance: Mathematics and Economics, Elsevier, vol. 12(1), pages 23-38, February.
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    Cited by:

    1. Min Song & Rong Wu & Xin Zhang, 2008. "Total duration of negative surplus for the dual model," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(6), pages 591-600, November.
    2. Li, Shuanming & Lu, Yi, 2013. "On the generalized Gerber–Shiu function for surplus processes with interest," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 127-134.
    3. Ramsden, Lewis & Papaioannou, Apostolos D., 2019. "Ruin probabilities under capital constraints," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 273-282.
    4. Chunwei Wang & Chuancun Yin, 2009. "Dividend payments in the classical risk model under absolute ruin with debit interest," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(3), pages 247-262, May.
    5. Yuan, Haili & Hu, Yijun, 2008. "Absolute ruin in the compound Poisson risk model with constant dividend barrier," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2086-2094, October.
    6. Chuancun Yin & Chunwei Wang, 2010. "The Perturbed Compound Poisson Risk Process with Investment and Debit Interest," Methodology and Computing in Applied Probability, Springer, vol. 12(3), pages 391-413, September.
    7. Ming, Rui-Xing & Wang, Wen-Yuan & Xiao, Li-Qun, 2010. "On the time value of absolute ruin with tax," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 67-84, February.
    8. Yang, Hu & Zhang, Zhimin & Lan, Chunmei, 2008. "On the time value of absolute ruin for a multi-layer compound Poisson model under interest force," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1835-1845, September.
    9. Paulsen, Jostein, 1998. "Ruin theory with compounding assets -- a survey," Insurance: Mathematics and Economics, Elsevier, vol. 22(1), pages 3-16, May.

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