Heterogeneity in Risk Preferences Leads to Stochastic Volatility
30 Pages Posted: 29 Jun 2018
Date Written: June 21, 2018
This paper studies the price processes of a claim on terminal endowment and of a claim on firm book value when the underlying variables follow a bivariate geometric Brownian motion. If the state-price process is multiplicatively separable into time and endowment functions, our main result shows that firm (endowment) price volatility is stochastic (state-dependent) if, and only if, the endowment function is not a power function. In a pure exchange economy populated by two agents with constant relative risk aversion (CRRA) preferences we confirm the separability, and we show furthermore that firm (endowment) price volatility is stochastic (state-dependent) if, and only if, both agents are heterogeneous in risk-preferences.
Keywords: stochastic volatility, state-dependent volatility, heterogeneity
JEL Classification: G13
Suggested Citation: Suggested Citation