Assume the following facts:
Risk-free return, r_f, 7.75 per cent
Beta, 2
Expected return of investors, r, 16 per cent
Applying CAPM, compute the expected market return (\mathrm{r}_\mathrm{m}).
\qquad \> r = r_f + \beta (r_m – r_f)
\quad 0.16 = 0.0775 + 2(r_m – 0.0775)
\quad0.16 = 0.0775 + 2r_m – 0.155
\>\> 0.2375 = 2r_m
\qquad r_m = 0.11875 = 11.87 per cent.