Single-Asset Adaptive Leveraged Volatility Control

๐Ÿ“… 2026-03-01
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๐Ÿค– AI Summary
This study addresses the construction of a volatility-targeting index composed of risky and risk-free assets. To this end, the authors propose an adaptive leverage control mechanism based on proportional feedback, which dynamically adjusts asset weights to stably achieve a predefined volatility target. Compared to conventional open-loop strategies, the proposed approach demonstrates superior performance in maintaining the desired volatility level. Furthermore, the incorporation of a drawdown suppression mechanism substantially reduces the indexโ€™s maximum drawdown. Through experiments involving volatility estimation, dynamic asset allocation, and Monte Carlo simulations, the method is shown to offer dual advantages in both stability and risk control.

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๐Ÿ“ Abstract
This paper introduces methodologies for constructing an index composed of a risky asset and a risk-free asset that achieves a fixed target volatility. We propose a simple proportional-control-based approach for setting the index weights, and we demonstrate in simulation that this method is more effective at consistently achieving the target volatility than an open-loop approach. We additionally present a modification to our proportional control approach that reduces index drawdowns in simulation.
Problem

Research questions and friction points this paper is trying to address.

volatility control
leveraged index
target volatility
risk management
adaptive weighting
Innovation

Methods, ideas, or system contributions that make the work stand out.

volatility control
proportional control
adaptive allocation
drawdown reduction
risk parity
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