The common stock of ABC, Inc., has a beta of 1.13 and a standard deviation of 21.4 percent. The market rate of return is 12.7 percent and the risk-free rate is 4.1 percent. What is the cost of equity for this firm

Respuesta :

Answer:

The appropriate answer is "13.82%".

Explanation:

Given:

Risk free rate,

[tex]R_f=4.10[/tex]

Beta of stock,

[tex]\beta=1.13[/tex]

Market rate,

= [tex]12.7[/tex]

Now,

The market risk premium will be:

⇒ [tex]R_p[/tex] = [tex]Market \ rate-Risk \ free \ rate[/tex]

        = [tex]12.7-4.1[/tex]

        = [tex]8.60[/tex] (%)

hence,

The cost of equity will be:

⇒ [tex]r=R_f+\beta\times R_p[/tex]

      [tex]=4.10+1.13\times 8.60[/tex]

      [tex]=4.10+ 9.718[/tex]

      [tex]=13.82[/tex] (%)