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Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes

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Abstract

A practical method is developed for computing moments of insurance functions when interest rates are assumed to follow an autoregressive integrated moving average process.

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  • Dhaene, Jan, 1989. "Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes," ASTIN Bulletin, Cambridge University Press, vol. 19(S1), pages 43-50, November.
    • Handle: RePEc:cup:astinb:v:19:y:1989:i:s1:p:43-50_00
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    Cited by:

    1. Marceau, Etienne & Gaillardetz, Patrice, 1999. "On life insurance reserves in a stochastic mortality and interest rates environment," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 261-280, December.
    2. Bilel Jarraya & Abdelfettah Bouri, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
    3. Milevsky, Moshe Arye, 1997. "The present value of a stochastic perpetuity and the Gamma distribution," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 243-250, October.
    4. Huang, Hong-Chih & Lee, Yung-Tsung, 2010. "Optimal asset allocation for a general portfolio of life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 271-280, April.
    5. Parker, Gary, 1995. "A second order stochastic differential equation for the force of interest," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 211-224, July.
    6. Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.
    7. Hoedemakers, Tom & Darkiewicz, Grzegorz & Goovaerts, Marc, 2005. "Approximations for life annuity contracts in a stochastic financial environment," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 239-269, October.
    8. Riza Andrian Ibrahim & Sukono & Herlina Napitupulu, 2022. "Multiple-Trigger Catastrophe Bond Pricing Model and Its Simulation Using Numerical Methods," Mathematics, MDPI, vol. 10(9), pages 1-17, April.
    9. Sukono & Riza Andrian Ibrahim & Moch Panji Agung Saputra & Yuyun Hidayat & Hafizan Juahir & Igif Gimin Prihanto & Nurfadhlina Binti Abdul Halim, 2022. "Modeling Multiple-Event Catastrophe Bond Prices Involving the Trigger Event Correlation, Interest, and Inflation Rates," Mathematics, MDPI, vol. 10(24), pages 1-18, December.
    10. Haberman, Steven & Lam, Yuk Patrick & Wong, 1997. "Moving average rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 115-135, September.

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