Betas computed from returns based on investment cost rather than on market value, may give systematically inappropriate discount rates and numerically incorrect present values for nonzero NPVs and "mispriced" assets. The paper provides a self contained collection of a "baker's dozen" consistent...

The benchmark CAPM linearly relates the expected returns on an arbitrary asset, an arbitrary benchmark portfolio, and an arbitrary MV frontier portfolio. The benchmark is not required to be on the frontier and may be non-perfectly correlated with the frontier portfolio. The benchmark CAPM...