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In this article we introduce a portfolio optimisation framework, in which the use of rough path signatures (Lyons, 1998) provides a novel method of incorporating path-dependencies in the joint signal-asset dynamics, naturally extending traditional factor models, while keeping the resulting formulas lightweight and easily interpretable.
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Haoran Wang and Xun Zhou · 1904
Earlier work this paper cites.
Patric Bonnier et al · 1905
Earlier work this paper cites.
“Optimal execution with rough path signatures”
Jasdeep Kalsi, Terry Lyons and Imanol Arribas · 1905
Earlier work this paper cites.
“Numerical method for model-free pricing of exotic derivatives using rough path signatures”, 2019
Terry Lyons, Sina Nejad and Imanol Arribas · 1905
Earlier work this paper cites.
“Portfolio Selection”
Harry Markowitz · 1952
Earlier work this paper cites.
“Integration of Paths, Geometric Invariants and a Generalized Baker- Hausdorff Formula”
Kuo-Tsai Chen · 1957
Earlier work this paper cites.
“Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk”
William. Sharpe · 1964
Earlier work this paper cites.
“Iterated path integrals”
Kuo Chen · 1977
Earlier work this paper cites.
“Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets”
Gary Chamberlain and Michael Rothschild · 1983
Earlier work this paper cites.
“A multi-dynamic-factor model for stock returns”
Victor Ng, Robert Engle and Michael Rothschild · 1992
Earlier work this paper cites.
“Common risk factors in the returns on stocks and bonds”
Eugene Fama and Kenneth French · 1993
Earlier work this paper cites.
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F. Breidt, Nuno Crato and Pedro De · 1998
Earlier work this paper cites.
“Differential equations driven by rough signals.”
Terry. Lyons · 1998
Earlier work this paper cites.
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Rama Cont · 2001
Earlier work this paper cites.
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Robert Engle · 2001
Earlier work this paper cites.
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Carol Alexander and Anca Dimitriu · 2002
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Hao Ni et al · 2006
Earlier work this paper cites.
“Differential Equations Driven by Rough Paths” 1908
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Earlier work this paper cites.
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Earlier work this paper cites.
“Fundamentals of Stochastic Filtering” 60
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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