TPLVM: Portfolio Construction by Student's $t$-process Latent Variable Model

• URL: http://arxiv.org/abs/2002.06243v1
• Date: Wed, 29 Jan 2020 02:02:02 GMT
• Title: TPLVM: Portfolio Construction by Student's $t$-process Latent Variable Model
• Authors: Yusuke Uchiyama, Kei Nakagawa
• Abstract summary: We propose the Student's $t$-process latent variable model (TPLVM) to describe non-Gaussian fluctuations of financial timeseries by lower dimensional latent variables. By comparing these portfolios, we confirm the proposed portfolio outperforms that of the existing Gaussian process latent variable model.
• Score: 3.5408022972081694
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Optimal asset allocation is a key topic in modern finance theory. To realize the optimal asset allocation on investor's risk aversion, various portfolio construction methods have been proposed. Recently, the applications of machine learning are rapidly growing in the area of finance. In this article, we propose the Student's $t$-process latent variable model (TPLVM) to describe non-Gaussian fluctuations of financial timeseries by lower dimensional latent variables. Subsequently, we apply the TPLVM to minimum-variance portfolio as an alternative of existing nonlinear factor models. To test the performance of the proposed portfolio, we construct minimum-variance portfolios of global stock market indices based on the TPLVM or Gaussian process latent variable model. By comparing these portfolios, we confirm the proposed portfolio outperforms that of the existing Gaussian process latent variable model.

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