Recursive utility under the ICAPM: Is it relevant?
证明在Campbell（1993）的同方差框架下，推导ICAPM定价方程无需递归效用假设，标准幂效用即可得到相同方程；但在异方差下递归效用虽非无关紧要，却难以实证检验。
I show that, under the benchmark homoskedastic framework in Campbell (1993) (C93), the assumption of recursive utility is unnecessary to derive the ICAPM pricing equation. That is, by assuming the standard power utility one obtains the same exact pricing equation. This also holds when deriving the (heteroskedastic) three-factor ICAPM of Campbell, Giglio, Polk, and Turley (2018). The assumption of recursive utility in C93 is no longer innocuous under heteroskedasticity. However, the respective ICAPM is not empirically testable unless one is willing to impose ad-hoc restrictions. Overall, recursive utility is largely irrelevant to obtaining Campbell’s ICAPM and its various extensions. • Recursive utility is unnecessary to derive Campbell (1993)’s homoskedastic ICAPM. • Using power utility produces the same pricing equations. • The same qualitative result holds for the ICAPM with stochastic volatility. • Recursive utility is not innocuous for Campbell (1993)’s heteroskedastic ICAPM.