Market-valuation methods in life and pension insurance

Market-Valuation Methods in Life and Pension Insurance

Volumn , Issue , 2007, Pages 1-279

  Møller, Thomas ^a   Steffensen, Mogens ^b  

^a PFA Pension   (Denmark)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84929762495     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511543289     Document Type: Book

References (113)

1. Aase, K. K. and Persson, S. A. (1994). Pricing of unit-linked life insurance policies, Scandinavian Actuarial Journal, pp. 26-52.
2. Bacinello, A. R. (2001). Fair pricing of life insurance participating policies with a minimum interest rate guaranteed, ASTIN Bulletin 31, 275-297.
3. Bacinello, A. R. and Ortu, F. (1993a). Pricing equity-linked life insurance with endogenous minimum guarantees, Insurance: Mathematics and Economics 12, 245-257.
4. Bacinello, A. R. and Ortu, F. (1993b). Pricing Guaranteed Securities-Linked Life Insurance under Interest-Rate Risk. Proceedings of the 3rd AFIR Colloquium, Rome, Vol. I, pp. 35-55.
5. Bacinello, A. R. and Persson, S. A. (1998). Design and Pricing of Equity-Linked Life Insurance under Stochastic Interest Rates. Preprint, Institute of Finance and Management Science, The Norwegian School of Economics and Business Administration.
6. Baxter, M. and Rennie, A. (1996). Financial Calculus. An Introduction to Derivative Pricing (Cambridge: Cambridge University Press).
7. Becherer, D. (2003). Rational hedging and valuation of integrated risks under constant absolute risk aversion, Insurance: Mathematics and Economics 33, 1-28.
8. Bielecki, T. R. and Rutkowski, M. (2001). Credit Risk: Modelling, Valuation and Hedging (Berlin: Springer).
9. Biffis, E. and Millossovich, P. (2006). The fair value of guaranteed annuity options, Scandinavian Actuarial Journal, pp. 23-41.
10. Björk, T. (1994). Stokastisk Kalkyl och Kapitalmarknadsteori. Lecture notes, Kungl. Tekniska Hogskolan, Stockholm.
11. Björk, T. (1997). Interest rate theory, in Runggaldier, W. J. (ed.), Financial Mathematics, Springer Lecture Notes in Mathematics, Vol. 1656 (Berlin: Springer Verlag).
12. Björk, T. (2004). Arbitrage Theory in Continuous Time, 2nd edn (Oxford: Oxford University Press).
13. Black, F. and Scholes, M. (1973). The pricing of options and corporate liabilities, Journal of Political Economy 81, 637-654.
14. Blake, D. (1998). Pension schemes as options on pension fund assets: implications for pension fund management, Insurance: Mathematics and Economics 23, 263-286.
15. Blake, D., Cairns, A. J. G. and Dowd, K. (2006). Living with mortality: longevity bonds and other mortality-linked securities. Preprint, Actuarial Mathematics and Statistics, School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh.
16. Brennan, M. J. and Schwartz, E. S. (1976). The pricing of equity-linked life insurance policies with an asset value guarantee, Journal of Financial Economics 3, 195-213.
17. Brennan, M. J. and Schwartz, E. S. (1979a). Alternative investment strategies for the issuers of equity-linked life insurance with an asset value guarantee, Journal of Business 52, 63-93.
18. Brennan, M. J. and Schwartz, E. S. (1979b). Pricing and Investment Strategies for Guaranteed Equity-Linked Life Insurance. Monograph no. 7. The S. S. Huebner Foundation for Insurance Education, Wharton School, University of Pennsylvania, Philadelphia.
19. Brigo, D. and Mercurio, F. (2001). Interest Rate Models: Theory and Practice, (Berlin: Springer).
20. Briys, E. and de Varenne, F. (1994). Life insurance in a contingent claim framework: pricing and regulatory implications, The Geneva Papers on Risk and Insurance Theory 19, 53-72.
21. Briys, E. and de Varenne, F. (1997). On the risk of life insurance liabilities: debunking some common pitfalls, Journal of Risk and Insurance 64, 673-694.
22. Cairns, A. J. G. (2000). Some notes on the dynamics and optimal control of stochastic pension fund models in continuous time, ASTIN Bulletin 30, 19-55.
23. Cairns, A. J. G. (2004). Interest Rate Models: An Introduction (Princeton: Princeton University Press).
24. Cairns, A. J. G., Blake, D. and Dowd, K. (2006). Pricing death: frameworks for the valuation and securitization of mortality risk. ASTIN Bulletin 36, 79-120.
25. Cont, R. and Tankov, P. (2003). Financial Modelling with Jump Processes (Boca Raton: Chapman & Hall/CRC Press).
26. Cowley, A. and Cummins, J. D. (2005). Securitization of life insurance assets and liabilities, The Journal of Risk and Insurance 72, 193-226.
27. Cox, J., Ingersoll, J. and Ross, S. (1985). A theory of the term-structure of interest rates, Econometrica 53, 385-408.
28. Cox, J., Ross, S. and Rubinstein, M. (1979). Option pricing: a simplified approach, Journal of Financial Economics 7, 229-263.
29. Dahl, M. (2004). Stochastic mortality in life insurance: market reserves and mortality- linked insurance contracts, Insurance: Mathematics and Economics 35, 113-136.
30. Dahl, M. and Møller, T. (2006). Valuation and Hedging of Life Insurance Liabilities with Systematic Mortality Risk, Insurance: Mathematics and Economics, 39, 193-217.
31. Dana, R. A. (1999). Existence, uniqueness and determinacy of equilibrium in C.A.P.M. with a riskless asset, Journal of Mathematical Economics 32, 167-175.
32. Delbaen, F. (1986). Equity linked policies, Bulletin de l’Association Royale des Actuaires Belges, pp. 33-52.
33. Delbaen, F. and Haezendonck, J. (1989). A martingale approach to premium calculation principles in an arbitrage-free market, Insurance: Mathematics and Economics 8, 269-277.
34. El Karoui, N. and Quenez, M. C. (1995). Dynamic programming and pricing of contingent claims in an incomplete market, SIAM Journal on Control and Optimization 33, 29-66.
35. Embrechts, P., Klüppelberg, C. and Mikosch, T. (1997). Modelling Extremal Events in Insurance and Finance (Berlin: Springer-Verlag).
36. Föllmer, H. and Leukert, P. (1999). Quantile hedging, Finance and Stochastics 3, 251-273.
37. Föllmer, H. and Schied, A. (2002). Stochastic Finance: An Introduction in Discrete Time, de Gruyter Series in Mathematics 27 (Berlin: Walter de Gruyter).
38. Föllmer, H. and Schweizer, M. (1988). Hedging by sequential regression: an introduction to the mathematics of option trading, ASTIN Bulletin 18, 147-160.
39. Föllmer, H. and Sondermann, D. (1986). Hedging of non-redundant contingent claims, in W. Hildenbrand and A. Mas-Colell (eds), Contributions to Mathematical Economics (Amsterdam: North-Holland), pp. 205-223.
40. Gerber, H. U. (1997). Life Insurance Mathematics (Berlin: Springer-Verlag).
41. Grosen, A. and Jørgensen, P. L. (1997). Valuation of early exercisable interest rate guarantees, Journal of Risk and Insurance 64, 481-503.
42. Grosen, A. and Jørgensen, P. L. (2000). Fair valuation of life insurance liabilities: the impact of interest rate guarantees, surrender options, and bonus policies, Insurance: Mathematics and Economics 26, 37-57.
43. Grosen, A. and Jørgensen, P. L. (2002). Life insurance liabilities at market values: an analysis of insolvency risk, bonus policy, and regulatory intervention rules in a barrier option framework, Journal of Risk and Insurance 69, 63-91.
44. Hansen, M. and Miltersen, K. (2002). Minimum rate of return guarantees: the Danish case, Scandinavian Actuarial Journal, pp. 280-318.
45. Hardy, M. (2003). Investment Guarantees: Modeling and Risk Management for Equity-Linked Life Insurance(Hoboken, NJ: Wiley).
46. Harrison, J. M. and Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets, Journal of Economic Theory 20, 381-408.
47. Harrison, J. M. and Pliska, S. R. (1981). Martingales and stochastic integrals in the theory of continuous trading, Stochastic Processes and their Applications 11, 215-260.
48. Heston, S. L. (1993). A closed-form solution for options with stochastic volatility with applications to bond and currency options, The Review of Financial Studies 6, 327-343.
49. Hoem, J. (1969). Markov chain models in life insurance, Blätter der Deutschen Gesellschaft für Versicherungsmathematik 9, 91-107.
50. Hull, J. C. (2005). Options, Futures, and other Derivatives, 6th edn. (Upper Saddle River, NJ: Prentice-Hall).
51. Jarrow, R. (1996). Modelling Fixed Income Securities and Interest Rate Options (New York: McGraw-Hill).
52. Jørgensen, P. L. (2004). On accounting standards and fair valuation of life insurance and pension liabilities, Scandinavian Actuarial Journal, pp. 372-394.
53. Kahn, P. M. (1971). Projections of variable life insurance operations, with discussion, Transactions of the Society of Actuaries, XXIII, 335-366.
54. Kalashnikov, V. and Norberg, R. (2003). On the sensitivity of premiums and reserves to changes in valuation elements, Scandinavian Actuarial Journal, pp. 238-256.
55. Lamberton, D. and Lapeyre, B. (1996). Introduction to Stochastic Calculus Applied to Finance (Boca Raton: Chapman & Hall).
56. Lando, D. (2004). Credit Risk Modeling – Theory and Applications (Princeton: Princeton University Press).
57. Lee, R. D. (2000). The Lee-Carter method for forecasting mortality, with various extensions and application, North American Actuarial Journal 4, 80-93.
58. Lee, R. D. and Carter, L. (1992). Modeling and forecasting the time series of US mortality, Journal of the American Statistical Association 87, 659-671.
59. Marocco, P. and Pitacco, E. (1998). Longevity Risk and Life Annuity Reinsurance. Transactions of the 26th International Congress of Actuaries, Birmingham, England, Vol. 6, 453-479.
60. Merton, R. C. (1973). Theory of rational option pricing, Bell Journal of Economics and Management Science 4, 141-183.
61. Milevsky, M. A. and Promislow, S. D. (2001). Mortality derivatives and the option to annuitise, Insurance: Mathematics and Economics 29, 299-318.
62. Miltersen, K. R. and Persson, S. A. (2000). A Note on Interest Rate Guarantees and Bonus: The Norwegian Case. Proceedings of the 10th AFIR Colloquium, Tromsø, pp. 507-516.
63. Miltersen, K. R. and Persson, S. A. (2003). Guaranteed investment contracts: distributed and undistributed excess return, Scandinavian Actuarial Journal, pp. 257-279.
64. Møller, T. (1998). Risk-minimizing hedging strategies for unit-linked life insurance contracts, ASTIN Bulletin 28, 17-47.
65. Møller, T. (2000). Quadratic hedging approaches and indifference pricing in insurance, Ph.D. thesis, University of Copenhagen.
66. Møller, T. (2001a). Hedging equity-linked life insurance contracts, North American Actuarial Journal 5, 79-95.
67. Møller, T. (2001b). On transformations of actuarial valuation principles, Insurance: Mathematics and Economics 28, 281-303.
68. Møller, T. (2001c). Risk-minimizing hedging strategies for insurance payment processes, Finance and Stochastics 5, 419-446.
69. Møller, T. (2002). On valuation and risk management at the interface of insurance and finance, British Actuarial Journal 8, 787-828.
70. Møller, T. (2003a). Indifference pricing of insurance contracts in a product space model, Finance and Stochastics 7, 197-217.
71. Møller, T. (2003b). Indifference pricing of insurance contracts in a product space model: applications, Insurance: Mathematics and Economics 32, 295-315.
72. Møller, T. (2004). Stochastic orders in dynamic reinsurance markets, Finance and Stochastics 8, 479-499.
73. Musiela, M. and Rutkowski, M. (1997). Martingale Methods in Financial Modelling (Berlin: Springer-Verlag).
74. Nelson, C. R. and Siegel, A. F. (1987). Parsimonious modeling of yield curves, Journal of Business 60, 473-489.
75. Nielsen, J. and Sandmann, K. (1995). Equity-linked life insurance: a model with stochastic interest rates, Insurance: Mathematics and Economics 16, 225-253.
76. Nielsen, J. and Sandmann, K. (1996). Uniqueness of the fair premium for equity-linked life contracts, The Geneva Papers on Risk and Insurance Theory 21, 65-102.
77. Nielsen, L. T. (1999). Pricing and Hedging of Derivative Securities (New York: Oxford University Press).
78. Nielsen, P. H. (2005). Optimal bonus strategies in life insurance: the Markov chain interest case, Scandinavian Actuarial Journal, pp. 81-102.
79. Nielsen, P. H. (2006). Utility maximization and risk minimization in life and pension insurance, Finance and Stochastics 10, 75-97.
80. Norberg, R. (1989). Experience rating in group life insurance, Scandinavian Actuarial Journal, pp. 194-224.
81. Norberg, R. (1991). Reserves in life and pension insurance, Scandinavian Actuarial Journal, pp. 3-24.
82. Norberg, R. (1999). A theory of bonus in life insurance, Finance and Stochastics 3, 373-390.
83. Norberg, R. (2000). Basic Life Insurance Mathematics. Lecture notes, Laboratory of Actuarial Mathematics, University of Copenhagen.
84. Norberg, R. (2001). On bonus and bonus prognoses in life insurance, Scandinavian Actuarial Journal 2, 126-147.
85. Norberg, R. and Steffensen, M. (2005). What is the time value of a stream of investments?, Journal of Applied Probability 42, 861-866.
86. Olivieri, A. (2001). Uncertainty in mortality projections: an actuarial perspective, Insurance: Mathematics and Economics 29, 231-245.
87. Olivieri, A. and Pitacco, E. (2002). Inference about Mortality Improvements in Life Annuity Portfolios. Proceedings of the Transactions of the 27th International Congress of Actuaries, Cancun, Mexico.
88. Pham, H. (2000). On quadratic hedging in continuous time, Mathematical Methods of Operations Research 51, 315-339.
89. Pliska, S. R. (1997). Introduction to Mathematical Finance: Discrete Time Models (Oxford: Blackwell Publishers).
90. Ramlau-Hansen, H. (1988). The emergence of profit in life insurance, Insurance: Mathematics and Economics 7, 225-236.
91. Ramlau-Hansen, H. (1991). Distribution of surplus in life insurance, ASTIN Bulletin 21, 57-71.
92. Rebonato, R. (2002). Modern Pricing of Interest-Rate Derivatives: The LIBOR Market and Beyond(Princeton: Princeton University Press).
93. Rheinländer, T. and Schweizer, M. (1997). On L2-projections on a space of stochastic integrals, Annals of Probability 25, 1810-1831.
94. Schönbucher, P. J. (2003). Credit Derivatives Pricing Models: Models, Pricing and Implementation(Chichester: John Wiley & Sons Ltd).
95. Schwarz, H. R. (1989). Numerical Analysis. A Comprehensive Introduction (New York: John Wiley & Sons Ltd.)
96. Schweizer, M. (1988). Hedging of options in a general semimartingale model. Dissertation, ETH Zurich, no. 8615.
97. Schweizer, M. (1995). Variance-optimal hedging in discrete time, Mathematics of Operations Research 20, 1-32.
98. Schweizer, M. (2001a). A guided tour through quadratic hedging approaches, in Jouini, E., Cvitanić, J. and Musiela, M. (eds), Option Pricing, Interest Rates and Risk Management (Cambridge: Cambridge University Press), pp. 538-574.
99. Schweizer, M. (2001b). From actuarial to financial valuation principles, Insurance: Mathematics and Economics 28, 31-47.
100. Sharpe, W. F. (1976). Corporate pension funding policy, Journal of Financial Economics 3, 183-193.
101. Shiryaev, A. N., Kabanov, Y. M., Kramkov, D. D. and Melnikov, A. V. (1994). Towards the theory of options of both European and American types. I. Discrete time, Theory of Probability and its Applications 39, 14-60.
102. Sondermann, D. (1991). Reinsurance in arbitrage-free markets, Insurance: Mathematics and Economics 10, 191-202.
103. Steffensen, M. (2000). A no arbitrage approach to Thiele's differential equation, Insurance: Mathematics and Economics 27, 201-214.
104. Steffensen, M. (2001). On valuation and control in life and pension insurance, Ph.D. thesis, University of Copenhagen.
105. Steffensen, M. (2002). Intervention options in life insurance, Insurance: Mathematics and Economics 31, 71-85.
106. Steffensen, M. (2004). On Merton's problem for life insurers, ASTINBulletin 34, 5-25.
107. Steffensen, M. (2006a). Quadratic optimization of life and pension insurance payments, ASTIN Bulletin 36, 245-267.
108. Steffensen, M. (2006b). Surplus-linked life insurance, Scandinavian Actuarial Journal, pp. 1-22.
109. Svensson, L. E. O. (1995). Estimating forward interest rates with the extended Nelson & Siegel method, Penning- & Valutapolitik 1995(3), 13-26.
110. Turner, S. H. (1969). Asset value guarantees under equity-based products, with discussion, Transactions of the Society of Actuaries XXI, 459-493.
111. Turner, S. H. (1971). Equity-based life insurance in the United Kingdom, with discussion, Transactions of the Society of Actuaries XXIII, 273-324.
112. Vasiček, O. (1977). An equilibrium characterization of the term structure, Journal of Financial Economics 5, 177-188.
113. Wilkie, A. D. (1978). Maturity (and other) guarantees under unit linked policies, Transactions of the Faculty of Actuaries 36, 27-41.