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Dynamic portfolio optimization across hidden market regimes

Nystrup, Peter ; Madsen, Henrik and Lindström, Erik LU orcid (2018) In Quantitative Finance 18(1). p.83-95
Abstract
Regime-based asset allocation has been shown to add value over rebalancing to static weights and, in particular, reduce potential drawdowns by reacting to changes in market conditions. The predominant approach in previous studies has been to specify in advance a static decision rule for changing the allocation based on the state of financial markets or the economy. In this article, model predictive control (MPC) is used to dynamically optimize a portfolio based on forecasts of the mean and variance of financial returns from a hidden Markov model with time-varying parameters. There are computational advantages to using MPC when estimates of future returns are updated every time a new observation becomes available, since the optimal control... (More)
Regime-based asset allocation has been shown to add value over rebalancing to static weights and, in particular, reduce potential drawdowns by reacting to changes in market conditions. The predominant approach in previous studies has been to specify in advance a static decision rule for changing the allocation based on the state of financial markets or the economy. In this article, model predictive control (MPC) is used to dynamically optimize a portfolio based on forecasts of the mean and variance of financial returns from a hidden Markov model with time-varying parameters. There are computational advantages to using MPC when estimates of future returns are updated every time a new observation becomes available, since the optimal control actions are reconsidered anyway. MPC outperforms a static decision rule for changing the allocation and realizes both a higher return and a significantly lower risk than a buy-and-hold investment in various major stock market indices. This is after accounting for transaction costs, with a one-day delay in the implementation of allocation changes, and with zero-interest cash as the only alternative to the stock indices. Imposing a trading penalty that reduces the number of trades is found to increase the robustness of the approach. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Multi-period portfolio selection, Mean–variance optimization, Model predictive control, Hidden Markov model, Adaptive estimation, Forecasting
in
Quantitative Finance
volume
18
issue
1
pages
83 - 95
publisher
Taylor & Francis
external identifiers
  • scopus:85025435532
ISSN
1469-7688
DOI
10.1080/14697688.2017.1342857
language
English
LU publication?
yes
id
aee3840b-06ee-4e2d-8b50-65f2c0d66b92
date added to LUP
2017-10-26 16:07:04
date last changed
2023-09-14 15:11:05
@article{aee3840b-06ee-4e2d-8b50-65f2c0d66b92,
  abstract     = {{Regime-based asset allocation has been shown to add value over rebalancing to static weights and, in particular, reduce potential drawdowns by reacting to changes in market conditions. The predominant approach in previous studies has been to specify in advance a static decision rule for changing the allocation based on the state of financial markets or the economy. In this article, model predictive control (MPC) is used to dynamically optimize a portfolio based on forecasts of the mean and variance of financial returns from a hidden Markov model with time-varying parameters. There are computational advantages to using MPC when estimates of future returns are updated every time a new observation becomes available, since the optimal control actions are reconsidered anyway. MPC outperforms a static decision rule for changing the allocation and realizes both a higher return and a significantly lower risk than a buy-and-hold investment in various major stock market indices. This is after accounting for transaction costs, with a one-day delay in the implementation of allocation changes, and with zero-interest cash as the only alternative to the stock indices. Imposing a trading penalty that reduces the number of trades is found to increase the robustness of the approach.}},
  author       = {{Nystrup, Peter and Madsen, Henrik and Lindström, Erik}},
  issn         = {{1469-7688}},
  keywords     = {{Multi-period portfolio selection; Mean–variance optimization; Model predictive control; Hidden Markov model; Adaptive estimation; Forecasting}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{83--95}},
  publisher    = {{Taylor & Francis}},
  series       = {{Quantitative Finance}},
  title        = {{Dynamic portfolio optimization across hidden market regimes}},
  url          = {{http://dx.doi.org/10.1080/14697688.2017.1342857}},
  doi          = {{10.1080/14697688.2017.1342857}},
  volume       = {{18}},
  year         = {{2018}},
}