Actuarial versus Financial Pricing of Insurance

This article discusses issues common to the pricing of both insurance and finance. These include increasing collaboration between insurance companies and banks, deregulation of various insurance and finance markets, integrated risk management, and the emergence of financial engineering as a new profession. Rather than attempting to give an exhaustive exposition of the issues at hand, the author highlights developments that, from a methodological point of view, offer new insight into the comparison of pricing mechanisms between insurance and finance.

[1]  T. Björk Arbitrage Theory in Continuous Time , 2019 .

[2]  Harris Schlesinger,et al.  Optimal Insurance in Incomplete Markets , 1983, Journal of Political Economy.

[3]  Stavros A. Zenios,et al.  The Value of Integrative Risk Management for Insurance Products with Guarantees , 2001 .

[4]  Freddy Delbaen,et al.  A Characterization of Measures of Risk , 1997 .

[5]  K. Borch Equilibrium in a Reinsurance Market , 1962 .

[6]  Freddy Delbaen,et al.  On Esscher Transforms in Discrete Finance Models , 1998, ASTIN Bulletin.

[7]  J. L. Hunsucker,et al.  Integrated risk management , 1993 .

[8]  M. Yaari The Dual Theory of Choice under Risk , 1987 .

[9]  C. Klüppelberg,et al.  Modelling Extremal Events , 1997 .

[10]  PAUL EMBRECHTS,et al.  Modelling of extremal events in insurance and finance , 1994, Math. Methods Oper. Res..

[11]  David M. Kreps,et al.  Martingales and arbitrage in multiperiod securities markets , 1979 .

[12]  Shaun S. Wang Premium Calculation by Transforming the Layer Premium Density , 1996, ASTIN Bulletin.

[13]  H. Varian The Arbitrage Principle in Financial Economics , 1987 .

[14]  C. Veld Commentary on : An equilibrium model of catastrophe insurance futures contracts (by Knut Aase) , 1996 .

[15]  H. Bühlmann Actuaries of the Third Kind , 1989 .

[16]  A. Robert,et al.  HAUGEN, . The New Finance: The Case against Efficient Markets (Englewood Prentice Hall. , 1995 .

[17]  H. Geman,et al.  Pricing Catastrophe Insurance Futures and Call Spreads , 1995 .

[18]  Freddy Delbaen,et al.  No-arbitrage, change of measure and conditional Esscher transforms , 1996 .

[19]  S. Haberman,et al.  An Introduction to Mathematical Risk Theory . By Hans U. Gerber [S. S. Huebner Foundation, R. D. Irwin Inc. Homeward Illinois, 1979] , 1981 .

[20]  B. A. Jensen,et al.  Pricing by no arbitrage , 1996 .

[21]  Knut K. Aase,et al.  An Equilibrium Model of Catastrophe Insurance Futures and Spreads , 1999 .

[22]  T. Rolski Stochastic Processes for Insurance and Finance , 1999 .

[23]  F. Edwards,et al.  Futures and Options , 1992 .

[24]  M. Schweizer On the Minimal Martingale Measure and the Foellmer- Schweizer Decomposition , 1995 .

[25]  Mark H. A. Davis,et al.  Applied Stochastic Analysis , 1991 .

[26]  Peter Grandits,et al.  The p-optimal martingale measure and its asymptotic relation with the minimal-entropy martingale measure , 1999 .

[27]  Hans U. Gerber,et al.  An introduction to mathematical risk theory , 1982 .

[28]  M. Hall The amendment to the capital accord to incorporate market risk , 1996 .

[29]  Andrew Rennie,et al.  Financial Calculus: An Introduction to Derivative Pricing , 1996 .

[30]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[31]  D. Duffie Dynamic Asset Pricing Theory , 1992 .

[32]  Hans Bühlmann,et al.  The General Economic Premium Principle , 1984, ASTIN Bulletin.

[33]  Werner Hildenbrand,et al.  Contributions to mathematical economics in honor of Gérard Debreu , 1986 .

[34]  Hans Bühlmann An Economic Premium Principle , 1980 .

[35]  Marc Goovaerts,et al.  Effective actuarial methods , 1990 .

[36]  Dieter Sondermann,et al.  Reinsurance in arbitrage-free markets , 1991 .

[37]  Shaun S. Wang,et al.  Axiomatic characterization of insurance prices , 1997 .

[38]  D. Sondermann Hedging of non-redundant contingent claims , 1985 .

[39]  F. Delbaen,et al.  A martingale approach to premium calculation principles in an arbitrage free market , 1989 .

[40]  Hans U. Gerber,et al.  Option pricing by Esscher transforms. , 1995 .

[41]  Hans Föllmer,et al.  Efficient hedging: Cost versus shortfall risk , 2000, Finance Stochastics.

[42]  F. Delbaen,et al.  A general version of the fundamental theorem of asset pricing , 1994 .