Portfolio optimisation with options

Fuente: arXiv
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Auteurs principaux: Chan, Jonathan Raimana, Huckle, Thomas, Jacquier, Antoine, Muguruza, Aitor
Format: Preprint
Publié: 2021
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author Chan, Jonathan Raimana
Huckle, Thomas
Jacquier, Antoine
Muguruza, Aitor
author_facet Chan, Jonathan Raimana
Huckle, Thomas
Jacquier, Antoine
Muguruza, Aitor
contents We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new dependency matrix, built upon conditional probabilities between options' payoffs, and show how it can be computed in closed form given a copula structure of the underlying asset prices. The empirical evidence we provide highlights that this approach is efficient, fast and easily scalable to large portfolios of (mixed) options.
format Preprint
id arxiv_https___arxiv_org_abs_2111_12658
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Portfolio optimisation with options
Chan, Jonathan Raimana
Huckle, Thomas
Jacquier, Antoine
Muguruza, Aitor
Portfolio Management
Mathematical Finance
46N10, 62H20, 91G10
We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new dependency matrix, built upon conditional probabilities between options' payoffs, and show how it can be computed in closed form given a copula structure of the underlying asset prices. The empirical evidence we provide highlights that this approach is efficient, fast and easily scalable to large portfolios of (mixed) options.
title Portfolio optimisation with options
topic Portfolio Management
Mathematical Finance
46N10, 62H20, 91G10
url https://arxiv.org/abs/2111.12658