Forecasting Covariance for Optimal Carry Trade Portfolio Allocations

5 Pages Posted: 7 Jan 2016

See all articles by Matthew Ames

Matthew Ames

The Institute of Statistical Mathematics

Guillaume Bagnarosa

ESC Rennes School of Business

Gareth Peters

Department of Actuarial Mathematics and Statistics, Heriot-Watt University; University College London - Department of Statistical Science; University of Oxford - Oxford-Man Institute of Quantitative Finance; London School of Economics & Political Science (LSE) - Systemic Risk Centre; University of New South Wales (UNSW) - Faculty of Science

Pavel V. Shevchenko

Macquarie University; Macquarie University, Macquarie Business School

Date Written: January 6, 2016

Abstract

Modelling and forecasting of asset volatility and covariance is of prime importance in the construction of portfolios. In this paper, we present a generalised multi-factor model that incorporates heteroskedasticity and dependence in the idiosyncratic error terms. We apply this model to forecasting the time-varying covariances in a basket of high interest rate and a basket of low interest rate carry trade currencies and then utilise these forecasts for portfolio optimisation. We compare traditional Markowitz portfolio optimisation to the more recently popular risk-based portfolio optimisation. Our model is shown to provide superior risk-adjusted returns for a currency carry trade strategy over the period 1999-2014.

Keywords: Covariance Forecasting, Currency Carry Trade, Covariance Regression, Markowitz Portfolio, Equal Risk Contribution

JEL Classification: C1, C5, F31, G11

Suggested Citation

Ames, Matthew and Bagnarosa, Guillaume and Peters, Gareth and Shevchenko, Pavel V., Forecasting Covariance for Optimal Carry Trade Portfolio Allocations (January 6, 2016). Available at SSRN: https://ssrn.com/abstract=2711586 or http://dx.doi.org/10.2139/ssrn.2711586

Matthew Ames (Contact Author)

The Institute of Statistical Mathematics ( email )

Tokyo
Japan

Guillaume Bagnarosa

ESC Rennes School of Business ( email )

2, RUE ROBERT D'ARBRISSEL
Rennes, 35065
France

Gareth Peters

Department of Actuarial Mathematics and Statistics, Heriot-Watt University ( email )

Edinburgh Campus
Edinburgh, EH14 4AS
United Kingdom

HOME PAGE: http://garethpeters78.wixsite.com/garethwpeters

University College London - Department of Statistical Science ( email )

1-19 Torrington Place
London, WC1 7HB
United Kingdom

University of Oxford - Oxford-Man Institute of Quantitative Finance ( email )

University of Oxford Eagle House
Walton Well Road
Oxford, OX2 6ED
United Kingdom

London School of Economics & Political Science (LSE) - Systemic Risk Centre ( email )

Houghton St
London
United Kingdom

University of New South Wales (UNSW) - Faculty of Science ( email )

Australia

Pavel V. Shevchenko

Macquarie University ( email )

North Ryde
Sydney, New South Wales 2109
Australia

HOME PAGE: http://www.businessandeconomics.mq.edu.au/contact_the_faculty/all_fbe_staff/pavel_shevchenko

Macquarie University, Macquarie Business School ( email )

New South Wales 2109
Australia

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