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Dynamic Portfolio Allocation in High Dimensions using Sparse Risk Factors

Bruno P. C. Levy, Hedibert F. Lopes

arXiv 13 May 2021 · Finance — Statistical Finance · 1 citations (OpenAlex)

arXiv:2105.06584 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to sequentially learn the use of constant or time-varying parameters and volatilities. We show in a dynamic portfolio allocation problem with 452 stocks from the S&P 500 index that our dynamic risk factor model is able to produce more stable and sparse predictions, achieving not just considerable portfolio performance improvements but also higher utility gains for the mean-variance investor compared to the traditional Wishart benchmark and the passive investment on the market index.

Citation extraction

58
references
125
in-text mentions
58
distinct cited
6
self-citations
13,816
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Kastner, G (2019) Sparse Bayesian time-varying covariance estimation in many dimensions1.00053100%
2Levy, B. P. and H. F. Lopes (2021) a): Dynamic Ordering Learning in Multivariate Forecasting self0.96510490%
3Zhao, Z. Y., M. Xie, and M. West (2016) Dynamic dependence networks: Financial time series forecasting and portfolio decisions0.9507586%
4Koop, G. and D. Korobilis (2013) Large time-varying parameter VARs0.9416583%
5Raftery, A. E., M. Kárnỳ, and P. Ettler (2010) Online prediction under model uncertainty via dynamic model averaging: Application to a cold rolling mill0.9285480%
6Dangl, T. and M. Halling (2012) Predictive regressions with time-varying coefficients0.8434475%
7De Nard, G., O. Ledoit, and M. Wolf (2020) Factor models for portfolio selection in large dimensions: The good, the better and the ugly0.81142100%
8Gruber, L. F. and M. West (2017) Bayesian online variable selection and scalable multivariate volatility forecasting in simultaneous graphical dynamic linear mod…0.81142100%
9Lopes, H. F., R. E. McCulloch, and R. S. Tsay (2021) Parsimony inducing priors for large scale state-space models self0.81142100%
10McAlinn, K., K. A. Aastveit, J. Nakajima, and M. West (2020) Multivariate Bayesian predictive synthesis in macroeconomic forecasting0.7373367%

Showing the top 10 of 58 scored citations.