Single-Asset Adaptive Leveraged Volatility Control

Fuente: arXiv
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Main Authors: Devanathan, Nikhil, Rueter, Dylan, Boyd, Stephen, Candès, Emmanuel, Hastie, Trevor, Kochenderfer, Mykel J., Apoorv, Arpit, Soronow, David, Zamkovsky, Igor
Format: Preprint
Published: 2026
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author Devanathan, Nikhil
Rueter, Dylan
Boyd, Stephen
Candès, Emmanuel
Hastie, Trevor
Kochenderfer, Mykel J.
Apoorv, Arpit
Soronow, David
Zamkovsky, Igor
author_facet Devanathan, Nikhil
Rueter, Dylan
Boyd, Stephen
Candès, Emmanuel
Hastie, Trevor
Kochenderfer, Mykel J.
Apoorv, Arpit
Soronow, David
Zamkovsky, Igor
contents This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio exposure inversely with a variance forecast, but such open-loop approaches suffer from high turnover, leverage spikes, and sensitivity to estimation error -- issues that limit practical adoption in index construction. We propose a proportional-control approach for setting the index weights that explicitly corrects tracking error through feedback. The method requires only a few interpretable parameters, making it transparent and practical for index construction. We demonstrate in simulation that this approach is more effective at consistently achieving the target volatility than the open-loop alternative.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01298
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Single-Asset Adaptive Leveraged Volatility Control
Devanathan, Nikhil
Rueter, Dylan
Boyd, Stephen
Candès, Emmanuel
Hastie, Trevor
Kochenderfer, Mykel J.
Apoorv, Arpit
Soronow, David
Zamkovsky, Igor
Portfolio Management
Optimization and Control
91B28
This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio exposure inversely with a variance forecast, but such open-loop approaches suffer from high turnover, leverage spikes, and sensitivity to estimation error -- issues that limit practical adoption in index construction. We propose a proportional-control approach for setting the index weights that explicitly corrects tracking error through feedback. The method requires only a few interpretable parameters, making it transparent and practical for index construction. We demonstrate in simulation that this approach is more effective at consistently achieving the target volatility than the open-loop alternative.
title Single-Asset Adaptive Leveraged Volatility Control
topic Portfolio Management
Optimization and Control
91B28
url https://arxiv.org/abs/2603.01298