Quadratic stochastic intensity and prospective mortality tables

Insurance: Mathematics and Economics - Tập 43 - Trang 174-184 - 2008
C. Gourieroux1,2,3, A. Monfort4,1
1CREST, France
2CEPREMAP, France
3University of Toronto, Canada
4CNAM, France

Tài liệu tham khảo

Ahn, 2002, Quadratic term structure models: Theory and evidence, Review of Financial Studies, 15, 243, 10.1093/rfs/15.1.243 Anderson, 1957, Statistical inference about Markov chains, Journal of the American Mathematical Society, 28, 89 Biffis, 2005, Affine processes for dynamic mortality and actuarial valuations, Insurance: Mathematics and Economics, 37, 443, 10.1016/j.insmatheco.2005.05.003 Blake, 2001, Survivor bonds: Helping to Hedge mortality risk, Journal of Risk and Insurance, 68, 339, 10.2307/2678106 Brouhns, 2002, A Poisson log-bilinear regression approach to the construction of projected lifetables, Insurance: Mathematics and Economics, 31, 373, 10.1016/S0167-6687(02)00185-3 Bravo, J., Pereira da Silva, C., 2008. Pricing longevity bonds using affine-jump diffusion models. DP University of Evora Cairns, A., Blake, D., Dowd, K., 2004. Pricing death: Frameworks for the valuation and securitization of mortality risk. DP Actuarial Mathematics and Statistics, Heriot-Watt University Cairns, 2006, A two factor model for stochastic mortality with parameter uncertainty: Theory and calibration, Journal of Risk and Insurance, 10.1111/j.1539-6975.2006.00195.x Cairns, A., Blake, D., Dowd, K., Coughlan, G., Epstein, D., Ong, A., Balevich, I., 2007. A quantitative comparison of stochastic mortality models using data from England & Wales and the United States, Heriot-Watt University DP Chen, H., Cox, S., 2007. Modeling Mortality with Jumps: Transitory Effects and Pricing Implication to Mortality Securitization, DP Georgia State University Chen, 2004, Quadratic term structure models for riskfree and defaultable rates, Mathematical Finance, 14, 515, 10.1111/j.0960-1627.2004.00203.x Constantinides, 1992, A theory of the nominal term structure of interest rates, Review of Financial Studies, 5, 531, 10.1093/rfs/5.4.531 Currie, I., 2007. Smoothing and forecasting mortality rates with p-splines, DP Heriot Watt University Currie, 2006, The importance of year of birth in two-dimensional mortality rate, British Actuarial Journal, 12, 5, 10.1017/S1357321700004682 Dahl, 2004, Stochastic mortality in life insurance: Market reserves and mortality linked insurance contracts, Insurance: Mathematics and Economics, 35, 113, 10.1016/j.insmatheco.2004.05.003 Dahl, 2006, Valuation and hedging of life insurance liabilities with systematic mortality risk, Insurance: Mathematics and Economics, 39, 193, 10.1016/j.insmatheco.2006.02.007 Darolles, 2006, Structural Laplace transform and compound autoregressive models, Journal of Time Series Analysis, 27, 477, 10.1111/j.1467-9892.2006.00479.x De Jong, 2006, Extending Lee–Carter mortality forecasting, Mathematical Population Studies, 13, 1, 10.1080/08898480500452109 Delwarde, A., 2004. Modèle Log-bilinéaire pour l’élaboration de tables de mortalité prospectives, Ph.D. Thesis, Louvain University Denuit, 2007, Actuariat des assurances des personnes, Economica Duffie, 2003, Affine processes and application in finance, Annals of Applied Probability, 13, 984, 10.1214/aoap/1060202833 Duffie, 1996, A yield factor model of interest rates, Mathematical Finance, 6, 379, 10.1111/j.1467-9965.1996.tb00123.x Feng, 2008, The ordered qualitative model for credit rating transitions, Journal of Empirical Finance, 15, 111, 10.1016/j.jempfin.2006.12.003 Gagliardini, 2005, Stochastic migration models, Journal of Financial Econometrics, 3, 188, 10.1093/jjfinec/nbi013 Gagliardini, P., Gourieroux, C., Monfort, A., 2007. Error in Factor Model, CREST DP Gourieroux, 2006, Continuous time wishart process for stochastic risk, Econometric Reviews, 25, 177, 10.1080/07474930600713234 Gourieroux, C., 2007. Car and Affine Processes, Lecture Notes in Time Series, Springer (in press) Gourieroux, 2007 Gourieroux, C., Jasiak, J., Sufana, R., 2007. The wishart autoregressive process for stochastic volatility. Journal of Econometrics (in press) Gourieroux, 2006, Affine term structure models for credit risk, Journal of Financial Econometrics, 4, 494, 10.1093/jjfinec/nbj012 Gourieroux, 2006, Classification of affine term structure models, Journal of Financial Econometrics, 4, 31, 10.1093/jjfinec/nbj003 Lando, 1998, On cox processes and credit risky securities, Review of Derivative Research, 2, 99, 10.1007/BF01531332 Lazar, D., 2004. On forecasting mortality using lee-carter Method, Babes-Bolyai University DP Lee, 2000, The Lee–Carter method of forecasting mortality, with various extensions and applications, North-American Actuarial Journal, 4, 80, 10.1080/10920277.2000.10595882 Lee, 1992, Modeling and forecasting the time series of US mortality, Journal of the American Statistical Association, 87, 659, 10.2307/2290201 Lee, 2001, Evaluating the performance of the Lee–Carter method for forecasting mortality, Demography, 38, 537, 10.1353/dem.2001.0036 Leippold, 2002, Asset pricing under the quadratic class, Journal of Financial and Quantitative Analysis, 37, 10.2307/3595006 Luciano, E., Vigna, E., 2005. A Note on Stochastic Survival Probabilities and Their Calibration, DP University of Turin Maghsoodi, 1996, Solution of the extended CIR term structure and bond option valuation, Mathematical Finance, 6, 89, 10.1111/j.1467-9965.1996.tb00113.x Menoncin, 2008, The role of longevity bonds in optimal Portfolios, Insurance: Mathematics and Economics, 42, 343, 10.1016/j.insmatheco.2007.05.001 Menoncin, F., 2008b. Death bonds with stochastic force of mortality. DP Univ. of Brescia Makeham, 1860, On the law of mortality and the construction of mortality tables, Journal of the Institute of Actuaries, 8, 301, 10.1017/S204616580000126X Renshaw, 2003, Lee–Carter mortality forecasting with age specific enhancement, Insurance: Mathematics and Economics, 33, 255, 10.1016/S0167-6687(03)00138-0 Renshaw, 2003, On the forecasting of mortality reduction factors, Insurance: Mathematics and Economics, 32, 379, 10.1016/S0167-6687(03)00118-5 Schrager, 2006, Affine stochastic mortality, Insurance: Mathematics and Economics, 38, 81, 10.1016/j.insmatheco.2005.06.013 Sunamoto, N., 2005. Cohort effect structure in the lee-carter residual term, DP Fukoku Mutual Life Insurance Company White, 2002, Longevity advance in high income countries, 1955-96, Population and Development Review, 28, 59, 10.1111/j.1728-4457.2002.00059.x Yang, S., 2001. Reserving, Pricing and Hedging for Guaranteed Annuity Options, Ph.D. Thesis. Heriot-Watt University, Edinburgh