The matrix algebra associated with finding minimum variance portfolio weights and tangency portfolio weights is greatly simplified by using an Excel presentation. A further simplification of the tangency portfolio weights process is also presented using excess returns for the risky securities....

Two asset portfolio mathematics is a fixture in many introductory finance and investment courses. However, the actual development of the efficient frontier and capital market line are generally left to a heuristic discussion with diagrams. In this paper, the mathematics for calculating these...

Two-asset portfolio mathematics is a fixture in many introductory finance and investment courses. However, the actual development of the efficient frontier and capital market line are generally left to a heuristic discussion with diagrams. In this article, the mathematics for calculating these...