We study the recursive model of Epstein and Zin. We use directional derivatives to derive the model, and calibrate to the data of Mehra and Prescott (1985). By assuming that we can view income streams as dividends of some shadow asset, the model is valid if the market portfolio is expanded to...

Motivated by the problems of the conventional model in rationalizing market data, we derive the equilibrium interest rate and risk premiums using recursive utility in a continuous time model. Two ordinally equivalent versions are considered. The state price is not Markov in any of the versions,...

We derive the equilibrium interest rate and risk premiums using recursive utility for jump-diffusions. Compared to to the continuous version, including jumps allows for a separate risk aversion related to jump size risk in addition to risk aversion related to the continuous part. We also...

Motivated by the problems of the conventional model in rationalizing market data, we derive the equilibrium interest rate and risk premiums using recursive utility in continuous time. In a representative-agent framework our model allows for the separation of risk aversion from the time...