Simple Construction of the Efficient Frontier

David Feldman and Haim Reisman

European Financial Management, 2003, vol. 9, issue 2, 251-259

Abstract: We provide simple methods of constructing known results. At the core of our methods is the identification of a simple concise basis that spans the Capital Market Line (CML). We show that a portfolio whose risky assets weights are the product of the inverse variance‐covariance matrix of (nonredundant) security rates of return times the vector of the excess expected rates of return over the risk‐free rate is a CML portfolio. This portfolio and the risk‐free security span the CML. In addition, with this basis, there is immediate construction of the efficient frontier of risky assets (the ‘hyperbola’), ‘tangency’ portfolios, ‘reflection’ portfolios, and a CAPM relationship. Our method is quick and simple. It is easy to derive, teach, implement, interpret, and remember.

Date: 2003
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Citations: View citations in EconPapers (6)

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