Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities

A-Tier
Journal: Journal of Finance
Year: 2020
Volume: 75
Issue: 3
Pages: 1457-1493

Authors (2)

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We obtain exact necessary and sufficient conditions for existence and uniqueness of solutions of a class of homothetic recursive utility models postulated by Epstein and Zin. The conditions center on a single test value with a natural economic interpretation. The test sheds light on the relationship between valuation of cash flows, impatience, risk adjustment, and intertemporal substitution of consumption. We propose two methods to compute the test value when an analytical solution is not available. We further provide several applications.

Technical Details

RePEc Handle
repec:bla:jfinan:v:75:y:2020:i:3:p:1457-1493
Journal Field
Finance
Author Count
2
Added to Database
2026-01-24