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On securitization, market completion and equilibrium risk transfer

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  • Horst, Ulrich
  • Pirvu, Traian A.
  • Dos Reis, Gonçalo

Abstract

We propose an equilibrium framework within which to price financial securities written on non- tradable underlyings such as temperature indices. We analyze a financial market with a finite set of agents whose preferences are described by a convex dynamic risk measure generated by the solution of a backward stochastic differential equation. The agents are exposed to financial and non-financial risk factors. They can hedge their financial risk in the stock market and trade a structured derivative whose payoff depends on both financial and external risk factors. We prove an existence and uniqueness of equilibrium result for derivative prices and characterize the equilibrium market price of risk in terms of a solution to a non-linear BSDE.

Suggested Citation

  • Horst, Ulrich & Pirvu, Traian A. & Dos Reis, Gonçalo, 2010. "On securitization, market completion and equilibrium risk transfer," SFB 649 Discussion Papers 2010-010, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2010-010
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    More about this item

    Keywords

    Backward stochastic differential equations; dynamic risk measures; partial equilibrium; equilibrium pricing; market completion;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

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