Asset Liability Management in Insurance Company

Giandomenico, Rossano (2006): Asset Liability Management in Insurance Company.

Abstract

The model, by using the option theory, determines the fair value of the insurance life policies with different time of maturity and shows that the effective liabilities duration of an Insurance Company exposed to the default risk is different from the duration of a default free zero coupon bond with the same time of maturity. Furthermore, it shows that the value of equity can be immunized in a dynamic way with respect to the movement of the spot rate by selling and purchasing the default free bonds in the firm asset. Moreover, the equity value, by the right bond allocation, can be immunized without varying continually the weight of the bonds on the firm asset. Furthermore, it considers the surrender option and the mortally issue such that it corrects some pitfalls that are commonly encountered in the insurance industry.

• Item Type: MPRA Paper
• Language: English
• Keywords: Contingent Claim; Duration; Immunization
• Subjects: G - Financial Economics > G2 - Financial Institutions and Services > G22 - Insurance ; Insurance Companies ; Actuarial Studies; G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing

References

Babbel, D.F. : Economic Valuation Models for Insurers Wharton Financial Institutions Center, Working Paper 97-44, 1997

Bielecki, T. R., and Rutkowski, M.: Credit Risk: Modeling, Valuation and Hedging Springer Finance, 2002,

Bjòrk, T. : Arbitrage Theory in Continuous Time Oxford University Press, 1998

Black, F., Cox, J. C. : Valuing Corporate Secutities: Some Effects of the Bond Identure Provisions Journal of Finance, Vol. 31, pag. 351-367, 1976

Black, F., Scholes, M. : The Pricing of Options and Corporate Liabilities Journal of Political Economy, pag.637-659, 1973

Brigo, D.,Mercurio, F. : Interest Rate Model Springer Finance, 2006

Briys, E., De Varenne, F. : Valuing Risky Fixed Rate Debt : An Extension Journal of Financial and Quantitative Analysis, Vol. 31 ; pag. 239-248, 1997

Briys, E., De Varenne, F. : Insurance John Wiley & Sons, LTD (New York), 2001

Briys, E., De Varenne, F. : Life Insurance in a Contingent Claim Framework: Pricing and Regulatory Implications The Geneva Papers on Risk and Insurance Theory vol.19, n°1, pag. 53-72, 1994

Briys, E., De Varenne, F. : On the Risk of Insurance Liabilities: Debunking Some Common Pitfalls Journal of Risk and Insurance, vol.64, n°4, pag. 673-694, 1997

Duffie, D. , Singleton, K. J. : An Econometric Model of the Term Structure of Interest rate Swap Yields Journal of Finance 52, pag. 1287-1321, September 1997

Geske, R. : The Valuation of Compound Options Journal of Financial Economics,Vol.7, pag. 63-81, 1979

Geske, R. : The Valuation of Corporate Liabilities as Coumpond Options Journal of Financial and Quantitative Analysis, Vol. 12, pag 541-552; 1977

Geske, R., Johnson, H.E. : The American Put Option Valued Analytically The Journal of Finance, Vol. 39, n° 5, Dec. 1984

Giandomenico, R. : Pricing of the Policy Life in Absence of Default risk and Asset Liability Management Social Science Research Network, 2006

Giandomenico, R. : Valuing an American Put Option Social Science Research Network, 2006 Giandomenico, R. : Martingale Model Social Science Research Network, 2006

Giraldi, C., Susino, G. : Insurance Optional Risk, April 2000

Heath, D., Jarrow, R., Morton. A. : Bond Pricing and the Term Structure of Interest Rates: a New Methodology for Contingent Claims Valuation Econometrica, 60(1), pag. 77-105, 1992

Jarrow, R. A. Turnbull, S. : Pricing Options on Derivative Securities Subject to Credit Risk Journal of Finance, 50, pag. 53-85, 1995

Lando, D. : On Cox Processes and Credit Risky Securities Review of Derivatives Research, 2, pag. 99-120, 1998

Longstaff, F. A., Schwartz, E. S. : A Simple Apprach to Valuing Risky Fixed Floating Rate Debt Journal of Finance, Vol. 50, pag. 789-819, 1995

Louis Bachelier Theory of Speculation (1900) Cootner: The Random Character of Stock Market Prices Cambridge, Mass, MIT. , 1964

Macaulay, F. R. : Some Theoretical Problems Suggested by the Movements of Interest Rates National Bureau of Economic Research, New York, 1938

Merton, R. : The Theory of Rational Option Pricing Bell Journal of Economics and Management Science, pag.141-183, 1973b

Merton, R. : On the Pricing of Corporate Debt: The Risk Structure of Interest Rate The Journal of Finance, Vol. 29, pag. 449-470, 1974

Merton, R. : On the Mathematics and Economics Assumptions of Continuous-Time Models Massachusetts Institute of Technology, 1982

Redington, F. M. : Review of the Principles of Life Office Valuations Journal of the Institute of Actuaries, 1952 Vol. 78, part. 3, n°350, pag.286-340

Vasicek, O. : An Equilibrium Characterization of the Term Structure Journal of Financial Economics, pag.177-188, 1977

Zhang,P. : Exotic Options World Scientific, 1998