不同借贷利率下投资组合的有效前沿

文章研究了不同借贷利率下投资组合的有效前沿,并运用我们自己创立的一种几何方法给出了该有效前沿的方程。首先把Markowitz模型的有效前沿用投资组合的权重向量表示出来,然后将不同借贷利率下的资本市场线(CML)也用投资组合的权重向量表示出来,再由CML的定义在Markowitz模型的有效前沿上分别求出不同借贷利率下资本市场线与Markowitz模型有效前沿的切点,同时也得到不同借贷利率下CML的斜率,这样我们就得到了不同借贷利率下投资组合的有效前沿。

The Efficient Frontier of Portfolio in Different Borrowing and Lending Rates

The capital-asset pricing model (CAPM) discovered by Sharp (1964), Lintner (1965) and Mossin (1966) is a general equilibrium model. It not only allows improved understanding of market behavior, but also provides practical benefits. At the same time, it also provides a practical mechanism for evaluating performance in a risk-adjusted mode. This model thus provides the initial basis for the practical implementation of the many aspects of portfolio analysis. So it is necessary to study the portfolio problem in different borrowing and lending rate. In this paper, we study the efficient frontier of portfolio in different borrowing and lending rate and set the equation of this frontier with a new way that is established by us.