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Implications of Dynamic Trading for Insurance Markets

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Author Info
José Penalva
Abstract

We study the interaction between insurance and capital markets within single but general framework.We show that capital markets greatly enhance the risk sharing capacity of insurance markets and the scope of risks that are insurable because efficiency does not depend on the number of agents at risk, nor on risks being independent, nor on the preferences and endowments of agents at risk being the same. We show that agents share risks by buying full coverage for their individual risks and provide insurance capital through stock markets.We show that aggregate risk enters private insurance as positive loading on insurance prices and despite that agents will buy full coverage. The loading is determined by the risk premium of investors in the stock market and hence does not depend on the agent’s willingness to pay. Agents provide insurance capital by trading an equally weighted portfolio of insurance company shares and riskless asset. We are able to construct agents’ optimal trading strategies explicitly and for very general preferences.

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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 720.

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Date of creation: Dec 2003
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Handle: RePEc:upf:upfgen:720

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Related research
Keywords: Full insurance; risk sharing; portfolio choice; welfare; heterogeneity;

Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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    Other versions:
  2. Zanjani, George, 2002. "Pricing and capital allocation in catastrophe insurance," Journal of Financial Economics, Elsevier, vol. 65(2), pages 283-305, August. [Downloadable!] (restricted)
  3. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-54, December. [Downloadable!] (restricted)
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  7. Doherty, Neil A & Dionne, Georges, 1993. " Insurance with Undiversifiable Risk: Contract Structure and Organizational Form of Insurance Firms," Journal of Risk and Uncertainty, Springer, vol. 6(2), pages 187-203, April.
  8. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August. [Downloadable!] (restricted)
  9. Duffie, J Darrell & Huang, Chi-fu, 1985. "Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities," Econometrica, Econometric Society, vol. 53(6), pages 1337-56, November. [Downloadable!] (restricted)
  10. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
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  11. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April. [Downloadable!] (restricted)
  12. Doherty, N A & Tinic, S M, 1981. "Reinsurance under Conditions of Capital Market Equilibrium: A Note," Journal of Finance, American Finance Association, vol. 36(4), pages 949-53, September. [Downloadable!] (restricted)
  13. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March. [Downloadable!] (restricted)
  14. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August. [Downloadable!] (restricted)
  15. Cass, David & Chichilnisky, Graciela & Wu, Ho-Mou, 1996. "Individual Risk and Mutual Insurance," Econometrica, Econometric Society, vol. 64(2), pages 333-41, March. [Downloadable!] (restricted)
  16. Mayers, David & Smith, Clifford W, Jr, 1983. "The Interdependence of Individual Portfolio Decisions and the Demand for Insurance," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 304-11, April. [Downloadable!] (restricted)
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