Deriving preference-free asset prices in a general equilibrium framework
In this paper we develop a method for deriving preference-free asset prices in a general equilibrium framework. We show that to obtain preference-free asset prices, it is necessary and sufficient that the equilibrium interest rate, risk premiums, and coefficients of the state variable processes satisfy some partial differential equations. The result can tell us whether an asset pricing model is well constructed so that it is not restricted to certain preferences. It also tells us how to choose appropriate functional forms of risk premiums consistent with many different preferences. Moreover, it tells us the appropriate term structure of (stochastic) interest rates given risk premiums and state variable processes. To illustrate the application of our result, we also give a simple approach to preference-free option prices.