Using historical return data in the black-litterman model for optimal portfolio decision

In this paper, the Black-Litterman model which is the improved mean-variance optimization model, is discussed. Basically, the views given by the investors were incorporated into this model so that their views on risk and return, and risk tolerance could be quantified. For doing so, the market rates...

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Main Authors: Su, Stephanie See Weng, Kek, Sie Long, Abdullah, Mohd Asrul Affendi
Format: Article
Language:en
Published: UTHM Publisher 2019
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Online Access:http://eprints.uthm.edu.my/5052/1/AJ%202020%20%2868%29.pdf
http://eprints.uthm.edu.my/5052/
https://doi.org/10.30880/jst.2019.11.02.003
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author Su, Stephanie See Weng
Kek, Sie Long
Abdullah, Mohd Asrul Affendi
author_facet Su, Stephanie See Weng
Kek, Sie Long
Abdullah, Mohd Asrul Affendi
author_sort Su, Stephanie See Weng
building UTHM Library
collection Institutional Repository
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
continent Asia
country Malaysia
description In this paper, the Black-Litterman model which is the improved mean-variance optimization model, is discussed. Basically, the views given by the investors were incorporated into this model so that their views on risk and return, and risk tolerance could be quantified. For doing so, the market rates of return for the assets were calculated from the geometric mean. Moreover, the views of the investors were expressed in the matrix form. Then, the covariance matrix and the diagonal covariance matrix of the assets return were calculated. Accordingly, the mean rate of the asset return was computed. On this basis, the Black-Litterman optimization model was constructed. This model formulation was done by taking a set of possible rates of return for the assets. Particularly, the corresponding optimal portfolios of the assets with lower risk and higher expected return were further determined. For illustration, the historical return data for S&P 500, 3-month Treasury bill, and 10-year Treasury bond from 1928 to 2016 were employed to demonstrate the formulation of the ideal investment portfolio model. As a result, the efficient frontier of the portfolio is shown and the discussion is made. In conclusion, the Black-Litterman model could provide the optimal investment decision practically.
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spelling my.uthm.eprints-50522022-01-04T07:35:43Z http://eprints.uthm.edu.my/5052/ Using historical return data in the black-litterman model for optimal portfolio decision Su, Stephanie See Weng Kek, Sie Long Abdullah, Mohd Asrul Affendi HG4501-6051 Investment, capital formation, speculation In this paper, the Black-Litterman model which is the improved mean-variance optimization model, is discussed. Basically, the views given by the investors were incorporated into this model so that their views on risk and return, and risk tolerance could be quantified. For doing so, the market rates of return for the assets were calculated from the geometric mean. Moreover, the views of the investors were expressed in the matrix form. Then, the covariance matrix and the diagonal covariance matrix of the assets return were calculated. Accordingly, the mean rate of the asset return was computed. On this basis, the Black-Litterman optimization model was constructed. This model formulation was done by taking a set of possible rates of return for the assets. Particularly, the corresponding optimal portfolios of the assets with lower risk and higher expected return were further determined. For illustration, the historical return data for S&P 500, 3-month Treasury bill, and 10-year Treasury bond from 1928 to 2016 were employed to demonstrate the formulation of the ideal investment portfolio model. As a result, the efficient frontier of the portfolio is shown and the discussion is made. In conclusion, the Black-Litterman model could provide the optimal investment decision practically. UTHM Publisher 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/5052/1/AJ%202020%20%2868%29.pdf Su, Stephanie See Weng and Kek, Sie Long and Abdullah, Mohd Asrul Affendi (2019) Using historical return data in the black-litterman model for optimal portfolio decision. Journal of Science and Technology, 11 (2). pp. 17-25. ISSN 2229-8460 https://doi.org/10.30880/jst.2019.11.02.003
spellingShingle HG4501-6051 Investment, capital formation, speculation
Su, Stephanie See Weng
Kek, Sie Long
Abdullah, Mohd Asrul Affendi
Using historical return data in the black-litterman model for optimal portfolio decision
title Using historical return data in the black-litterman model for optimal portfolio decision
title_full Using historical return data in the black-litterman model for optimal portfolio decision
title_fullStr Using historical return data in the black-litterman model for optimal portfolio decision
title_full_unstemmed Using historical return data in the black-litterman model for optimal portfolio decision
title_short Using historical return data in the black-litterman model for optimal portfolio decision
title_sort using historical return data in the black-litterman model for optimal portfolio decision
topic HG4501-6051 Investment, capital formation, speculation
url http://eprints.uthm.edu.my/5052/1/AJ%202020%20%2868%29.pdf
http://eprints.uthm.edu.my/5052/
https://doi.org/10.30880/jst.2019.11.02.003
url_provider http://eprints.uthm.edu.my/