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Estimating Optimal Hedge Ratio and Hedge Effectiveness Via Fitting the Multivariate Skewed Distributions

Authors: Wei-Han Liu;

Estimating Optimal Hedge Ratio and Hedge Effectiveness Via Fitting the Multivariate Skewed Distributions

Abstract

This paper presents the use of three multivariate skew distributions (Generalized Hyperbolic distribution, multivariate skew normal distribution, and multivariate skew t distribution) for estimating minimum variance hedge ratio in a dynamic setting. Three criteria for measuring hedge effectiveness are employed: Hedging Instrument Effectiveness, Overall Hedge Effectiveness, and Relative-to-Optimal Hedge Ratio Effectiveness. The empirical analysis outcomes confirm that the three multivariate skew distributions are useful in deciding the optimal hedge ratio especially at the critical market moments because they consider both hedge and speculation. This advantage is held without the price of lower portfolio return. The traditional minimum variance hedge ratio can function as an effective hedge but only at most keep the portfolio variance level at its minimum.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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