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Optimal hedging via large deviation

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  • Stutzer, Michael

Abstract

The criterion of minimizing the cumulative hedged returns’ probability of underperforming a benchmark provides a framework for evaluating short-term hedges that are rolled over to produce longer-term hedges. Large deviations theory can be used to either parametrically or nonparametrically estimate underperformance probabilities for cumulative hedged returns produced by roll-overs, providing a straightforward way to find optimal hedge ratios. Optimal hedges using soybean futures are constructed to illustrate the procedures, and their relationship to the popular hedging criteria that are motivated by normality.

Suggested Citation

  • Stutzer, Michael, 2013. "Optimal hedging via large deviation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3177-3182.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:15:p:3177-3182
    DOI: 10.1016/j.physa.2013.03.022
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    References listed on IDEAS

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    Cited by:

    1. Stutzer, Michael, 2020. "Persistence of averages in financial Markov Switching models: A large deviations approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).

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