A Robust Equilibrium Relationship between Market Prices of Risks and Risk Aversion in Dynamically Complete Stochastic

We derive a general equilibrium linear relationship between the market prices of risks and market risk aversion under a continuous time stochastic volatility model completed by liquidly traded options. The relation is robust as it is valid for both endowment and production economies, and for both regular time-separable von-Neumann Morgenstern and non-time-separable habit formation preferences. The relation can be used in practice to construct a daily market risk aversion index from options market.