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Optimal Dynamic Hedging of Multi-Asset Options

Authors: Andrea Petrelli; Ram Balachandran; Jun Zhang; Olivia Siu; Rupak Chatterjee; Vivek Kapoor;

Optimal Dynamic Hedging of Multi-Asset Options

Abstract

Hedging and valuing multi-asset options are analyzed using the Optimal Hedge Monte-Carlo method. The average cost of hedging and the residual risks are related to the stochastic description of the underlying assets, their dependence structure, and to the option contract details. A long position in a basket of the underlying assets mixed in proportions to their hedge ratios is employed to assess a bounding rate of return on risk-capital (i.e., a hurdle rate) for the option trader-hedger. That hurdle rate is employed to assess bounding values of multi-asset derivative positions while accounting for hedging costs and the inevitable hedge slippage that determines the derivative trader's risk-capital. Sample calculations are provided for two-asset options where the option trader-hedger is long correlation and short correlation, such as best-of and worst-of options. The differences in hedging strategies between such options and junior and senior basket-put tranches are delineated. The dual roles of fat-tails for individual assets and uncertainty of realized correlation in controlling the irreducible hedging errors are also described.

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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!
2
Average
Average
Average
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