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|Title:||Tangent portfolio weights without explicitly specified expected returns|
|Citation:||Journal of Asset Management, 2014; 15(3):177-190|
|Abstract:||In this article, I propose an extension of the Treynor–Black model to a case where the investor is not fully invested in the stock market at the outset and there is no need to explicitly specify securities’ expected returns. I derive explicit tangent portfolio weights based on a factor model of securities’ expected returns. The computational burden of the model is linear in the number of securities in the portfolio and does not involve any matrix inversion. I present an empirical application using the market model of Sharpe, the three-factor model of Fama and French and the four-factor model of Carhart with up to 30 industry portfolios between 1963 and 2012 and up to 1000 US stocks starting in 1992 until 2012. The portfolios perform well out-of-sample relative to the entire US value-weighted stock market portfolio with dividends reinvested from the Center for Research in Security Prices. The proposed framework can be extended in a straightforward way to time-varying factor models with multiple state variables affecting securities’ expected returns and factor loadings.|
|Keywords:||tangent portfolio weights; factor models of expected returns; market model; Fama and French three-factor model; Carhart four-factor model; out-of-sample realized active return|
|Rights:||© 2014 Macmillan Publishers Ltd|
|Appears in Collections:||Business School publications|
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