Defined-Outcome ETFs with a Convex Payoff Profile, Part I: Motivation, Construction, Historical Simulation

In this article, the first of a two-part series, we introduce a new type of defined-outcome ETF with a convex payoff profile. These ETFs are designed to deliver better performance during significant market drawdowns and recoveries compared to existing defined-outcome ETFs, which utilize a put-spread collar structure and have a concave payoff profile. Like the current concave defined-outcome ETFs, the convex ETFs offer a defined outcome without requiring an upfront cash outlay. However, unlike the concave ETFs, the convex ETFs provide a downside floor without capping the upside potential. We perform historical simulations to compare the performance of convex and concave defined-outcome ETFs over a long history, as well as during notable market drawdowns and recoveries.

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Publication Details

Journal
The Journal of Beta Investment Strategies
Published
2026-04-13
DOI
https://doi.org/10.3905/jbis.2026.002
Primary Topic
Risk and Portfolio Optimization
Type
article
Field-Weighted Citation Impact
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article

Defined-Outcome ETFs with a Convex Payoff Profile, Part I: Motivation, Construction, Historical Simulation

Ding Liu
The Journal of Beta Investment Strategies
Risk and Portfolio Optimization
article

Defined-Outcome ETFs with a Convex Payoff Profile, Part I: Motivation, Construction, Historical Simulation

Ding Liu
article en

Abstract

In this article, the first of a two-part series, we introduce a new type of defined-outcome ETF with a convex payoff profile. These ETFs are designed to deliver better performance during significant market drawdowns and recoveries compared to existing defined-outcome ETFs, which utilize a put-spread collar structure and have a concave payoff profile. Like the current concave defined-outcome ETFs, the convex ETFs offer a defined outcome without requiring an upfront cash outlay. However, unlike the concave ETFs, the convex ETFs provide a downside floor without capping the upside potential. We perform historical simulations to compare the performance of convex and concave defined-outcome ETFs over a long history, as well as during notable market drawdowns and recoveries.

The Journal of Beta Investment Strategies
Saint Vladimir's Orthodox Theological Seminary (US)
Decent work and economic growth
Openalex Percentile: Top 14%
Risk and Portfolio Optimization
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Defined-Outcome ETFs with a Convex Payoff Profile, Part I: Motivation, Construction, Historical Simulation — Ding Liu · The Journal of Beta Investment Strategies (2026) | TGRS Research Map | TGRS