On the Properties of Leveraged ETFs
This paper analyzes the mathematical and practical properties of leveraged exchange-traded funds (ETFs), with a focus on the volatility decay phenomenon and its implications for investors.
Abstract
Leveraged ETFs are financial instruments designed to deliver a multiple of the daily return of a benchmark index. While these products have grown substantially in popularity among retail and institutional investors, their behavior over periods longer than one day is widely misunderstood.
This paper provides a rigorous analysis of the compounding effects that cause leveraged ETFs to diverge from their stated leverage ratios over multi-day holding periods. We examine how volatility, correlation, and rebalancing frequency interact to determine the long-run performance of these instruments.
Implications
Our findings have significant implications for investors using leveraged ETFs as medium-term or long-term holdings. The paper provides practical guidance on the conditions under which leveraged ETFs can be used effectively, and identifies the scenarios in which volatility decay represents the most significant source of performance drag.