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Volumn 24, Issue 1-2, 1999, Pages 149-154

Martingales, scale functions and stochastic life annuities: A note

Author keywords

C63; G22; Generalized Asian option; IM10; IM13; Ito diffusion; Markov process; Perpetuity; Probability of ruin

Indexed keywords


EID: 0010653671     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(98)00032-8     Document Type: Article
Times cited : (4)

References (13)
  • 2
    • 38149146300 scopus 로고
    • An analytic inversion of a Laplace transform related to annuities certain
    • DeSchepper A., Teunen M., Goovaerts M. An analytic inversion of a Laplace transform related to annuities certain. Insurance: Mathematics and Economics. 14(1):1994;33-37.
    • (1994) Insurance: Mathematics and Economics , vol.14 , Issue.1 , pp. 33-37
    • Deschepper, A.1    Teunen, M.2    Goovaerts, M.3
  • 3
    • 84864849879 scopus 로고
    • The distribution of a perpetuity with applications to risk theory and pension funding
    • Dufresne D. The distribution of a perpetuity with applications to risk theory and pension funding. Scandinavian Actuarial Journal. 9:1990;39-79.
    • (1990) Scandinavian Actuarial Journal , vol.9 , pp. 39-79
    • Dufresne, D.1
  • 4
    • 0031592036 scopus 로고    scopus 로고
    • Present value distributions with applications to ruin theory and stochastic equations
    • Gjessing H., Paulsen J. Present value distributions with applications to ruin theory and stochastic equations. Stochastic Processes and their Applications. 71:1997;123-144.
    • (1997) Stochastic Processes and Their Applications , vol.71 , pp. 123-144
    • Gjessing, H.1    Paulsen, J.2
  • 6
    • 0002451587 scopus 로고
    • Linear models of economic survival under production uncertainty
    • Majumdar M., Radner R. Linear models of economic survival under production uncertainty. Economic Theory. 1:1991;13-30.
    • (1991) Economic Theory , vol.1 , pp. 13-30
    • Majumdar, M.1    Radner, R.2
  • 7
    • 84925896961 scopus 로고
    • An asymptotic theory of growth under uncertainty
    • Merton R. An asymptotic theory of growth under uncertainty. Review of Economic Studies. 42:1975;375-393.
    • (1975) Review of Economic Studies , vol.42 , pp. 375-393
    • Merton, R.1
  • 8
    • 0031572647 scopus 로고    scopus 로고
    • The present value of a stochastic perpetuity and the gamma distribution
    • Milevsky M.A. The present value of a stochastic perpetuity and the gamma distribution. Insurance: Mathematics and Economics. 20:1997;243-250.
    • (1997) Insurance: Mathematics and Economics , vol.20 , pp. 243-250
    • Milevsky, M.A.1
  • 11
    • 0031161147 scopus 로고    scopus 로고
    • A straightforward analytic calculation of the distribution of an annuity certain with Stochastic interest rates
    • Vanneste M., Goovaerts M., DeSchepper A., Dhaene J. A straightforward analytic calculation of the distribution of an annuity certain with Stochastic interest rates. Insurance: Mathematics and Economics. 20(1):1997;35-41.
    • (1997) Insurance: Mathematics and Economics , vol.20 , Issue.1 , pp. 35-41
    • Vanneste, M.1    Goovaerts, M.2    Deschepper, A.3    Dhaene, J.4
  • 13
    • 0000364811 scopus 로고
    • On some exponential functionals of brownian motion
    • Yor M. On some exponential functionals of brownian motion. Advances in Applied Probability. 24:1992;509-531.
    • (1992) Advances in Applied Probability , vol.24 , pp. 509-531
    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.