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A Linear Relationship between Market Prices of Risks and Risk Aversion in Complete Stochastic Volatility Models

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  • Qian Han

Abstract

Considering a production economy with an arbitrary von-Neumann Morgenstern utility, this paper derives a general equilibrium relationship between the market prices of risks and market risk aversion under a continuous time stochastic volatility model completed by liquidly traded options. The derived relation shows that in equilibrium the risk aversion should be a linear combination of the market price of asset risk and market price of orthogonal risk. Construction of a daily market risk aversion index is proposed to help practitioners with better risk management.

Suggested Citation

  • Qian Han, 2013. "A Linear Relationship between Market Prices of Risks and Risk Aversion in Complete Stochastic Volatility Models," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
  • Handle: RePEc:wyi:wpaper:002033
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    References listed on IDEAS

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