Unequal returns: Using the Atkinson index to measure financial risk

B-Tier
Journal: Journal of Banking & Finance
Year: 2020
Volume: 116
Issue: C

Authors (2)

Fischer, Thomas (Lunds Universitet) Lundtofte, Frederik (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

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

Abstract

We apply the Atkinson (1970) inequality index to time series of asset returns to offer a novel measure of financial risk consistent with expected-utility theory. This measure is converted to a certainty-equivalent return serving as a performance measure. We extend the Atkinson index to HARA utility and derive closed-form solutions to our measures for a number of preference-return combinations. Further, we establish relationships between risk aversion and the weights assigned to the cumulants of the return distribution for our performance measure. Using data from hedge funds and asset-pricing anomalies, we find that our performance measure contains additional, economically meaningful information.

Technical Details

RePEc Handle
repec:eee:jbfina:v:116:y:2020:i:c:s0378426620300868
Journal Field
Finance
Author Count
2
Added to Database
2026-01-25