假设 资产组合的β只取两个值:当市场走好时β取较大值,当市场萎靡时β取较小值。基于这个假设, 资产组合的特征线方程就是:
Rp - Rf = a + b(Rm - Rf) + c(Rm - Rf) D + ep
其中:D是一个虚变量,当RM > Rf时,D = 1;否则D = 0。于是资产组合的β值在熊市时就为b,在牛市时就为b+c。如果回归得到正的c值,就说明有市场时机能力存在;同时如果回归得到正的a值,就说明有证券选择能力的存在。
Merton R.C (1981): "On Market Timing and Investment Performance of Managed Performance I - An Equilibrium Theory of Value for Market Forecasts", Journal of Business 5, p363-406
Henriksson R.D., Merton R.C. (1981): "On the Market Timing and Investment Performance of Managed Portfolios II - Statistical Procedures for Evaluating Forecasting Skills", Journal of Business 54, p513-533