메뉴 건너뛰기




Volumn 42, Issue 2, 2008, Pages 560-577

Integrated insurance risk models with exponential Lévy investment

Author keywords

Continuous time perpetuity; Discounted net loss process; Exponential L vy process; Generalized Ornstein Uhlenbeck process; Integrated insurance risk process; Integrated risk management; Stochastic recurrence equations; Tail behavior

Indexed keywords


EID: 40949103527     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2007.06.002     Document Type: Article
Times cited : (43)

References (25)
  • 1
    • 0041649295 scopus 로고    scopus 로고
    • Exponential functionals of Lévy processes
    • Barndorf-Nielsen O.E., Mikosch T., and Resnick S. (Eds), Birkhäuser, Boston
    • Carmona P., Petit F., and Yor M. Exponential functionals of Lévy processes. In: Barndorf-Nielsen O.E., Mikosch T., and Resnick S. (Eds). Lévy Processes, Theory and Applications (2001), Birkhäuser, Boston 41-55
    • (2001) Lévy Processes, Theory and Applications , pp. 41-55
    • Carmona, P.1    Petit, F.2    Yor, M.3
  • 4
    • 21144449619 scopus 로고    scopus 로고
    • Optimal portfolios when stock prices follow an exponential Lévy process
    • Emmer S., and Klüppelberg C. Optimal portfolios when stock prices follow an exponential Lévy process. Finance and Stochastics 8 1 (2004) 17-44
    • (2004) Finance and Stochastics , vol.8 , Issue.1 , pp. 17-44
    • Emmer, S.1    Klüppelberg, C.2
  • 5
    • 0039840300 scopus 로고    scopus 로고
    • Optimal portfolios with bounded Capital-at-Risk
    • Emmer S., Klüppelberg C., and Korn K. Optimal portfolios with bounded Capital-at-Risk. Mathematical Finance 11 (2001) 365-384
    • (2001) Mathematical Finance , vol.11 , pp. 365-384
    • Emmer, S.1    Klüppelberg, C.2    Korn, K.3
  • 7
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • Goldie C.M. Implicit renewal theory and tails of solutions of random equations. The Annals of Applied Probability 1 (1991) 126-166
    • (1991) The Annals of Applied Probability , vol.1 , pp. 126-166
    • Goldie, C.M.1
  • 9
    • 0040176238 scopus 로고
    • Regular variation in the tail behaviour of solutions of random difference equations
    • Grey D. Regular variation in the tail behaviour of solutions of random difference equations. The Annals of Applied Probability 4 (1994) 169-183
    • (1994) The Annals of Applied Probability , vol.4 , pp. 169-183
    • Grey, D.1
  • 11
    • 4344574467 scopus 로고    scopus 로고
    • Optimal investment for investors with state dependent income, and for insurers
    • Hipp C., and Plum M. Optimal investment for investors with state dependent income, and for insurers. Finance and Stochastics 7 (2003) 299-321
    • (2003) Finance and Stochastics , vol.7 , pp. 299-321
    • Hipp, C.1    Plum, M.2
  • 12
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • Kesten H. Random difference equations and renewal theory for products of random matrices. Acta Mathematica 131 (1973) 207-248
    • (1973) Acta Mathematica , vol.131 , pp. 207-248
    • Kesten, H.1
  • 13
    • 27644474447 scopus 로고    scopus 로고
    • Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations
    • Konstantinides D.G., and Mikosch T. Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations. The Annals of Probability 33 (2004) 1992-2035
    • (2004) The Annals of Probability , vol.33 , pp. 1992-2035
    • Konstantinides, D.G.1    Mikosch, T.2
  • 14
    • 0003464514 scopus 로고    scopus 로고
    • World Scientific, Singapore
    • Korn K. Optimal Portfolios (1997), World Scientific, Singapore
    • (1997) Optimal Portfolios
    • Korn, K.1
  • 15
    • 34447102870 scopus 로고    scopus 로고
    • Optimal investment for insurers, when the stock price follows an exponential Lévy process
    • Kostadinova R. Optimal investment for insurers, when the stock price follows an exponential Lévy process. Insurance: Mathematics and Economics 41 2 (2007) 250-263
    • (2007) Insurance: Mathematics and Economics , vol.41 , Issue.2 , pp. 250-263
    • Kostadinova, R.1
  • 16
    • 24144492993 scopus 로고    scopus 로고
    • Lévy integrals and the stationarity of generalised Ornstein-Uhlenbeck processes
    • Lindner A., and Maller R. Lévy integrals and the stationarity of generalised Ornstein-Uhlenbeck processes. Stochastic Processes and their Applications 115 (2005) 1701-1722
    • (2005) Stochastic Processes and their Applications , vol.115 , pp. 1701-1722
    • Lindner, A.1    Maller, R.2
  • 17
    • 0000903441 scopus 로고
    • The variance gamma (VG) model for share market returns
    • Madan D., and Seneta E. The variance gamma (VG) model for share market returns. Journal of Business 63 (1990) 511-524
    • (1990) Journal of Business , vol.63 , pp. 511-524
    • Madan, D.1    Seneta, E.2
  • 18
    • 0030078157 scopus 로고    scopus 로고
    • On the distribution of a randomly discounted compound Poisson process
    • Nilsen T., and Paulsen J. On the distribution of a randomly discounted compound Poisson process. Stochastic Processes and their Applications 61 (1996) 305-310
    • (1996) Stochastic Processes and their Applications , vol.61 , pp. 305-310
    • Nilsen, T.1    Paulsen, J.2
  • 19
    • 0041591618 scopus 로고    scopus 로고
    • Finite and infinite time ruin probabilities in a stochastic economic environment
    • Nyrhinen H. Finite and infinite time ruin probabilities in a stochastic economic environment. Stochastic Processes and their Applications 92 (2001) 265-285
    • (2001) Stochastic Processes and their Applications , vol.92 , pp. 265-285
    • Nyrhinen, H.1
  • 22
    • 0036439107 scopus 로고    scopus 로고
    • On Cramér-like asymptotics for risk processes with stochastic return on investments
    • Paulsen J. On Cramér-like asymptotics for risk processes with stochastic return on investments. The Annals of Applied Probability 12 (2002) 1243-1260
    • (2002) The Annals of Applied Probability , vol.12 , pp. 1243-1260
    • Paulsen, J.1
  • 25
    • 0142056077 scopus 로고    scopus 로고
    • Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks
    • Tang Q., and Tsitsiashvili G. Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks. Stochastic Processes and their Applications 108 (2003) 299-325
    • (2003) Stochastic Processes and their Applications , vol.108 , pp. 299-325
    • Tang, Q.1    Tsitsiashvili, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.