The market value of Charcoal Corporation's common stock is $20 million, and the market value of its risk-free debt is $5 million. The beta of the company's common stock is 1.25, and the market risk premium is 8%. If the Treasury bill rate is 5%, what is the company's cost of capital

Respuesta :

Answer:

The company's cost of capital will be "13%".

Explanation:

The given values are:

Risk free rate

= 5

Beta

= 1.25

Market risk premium

= 8

Now,

⇒  [tex]cost \ of \ common \ stock=Risk \ free \ rate+Beta\times Market \ risk \ premium[/tex]

On substituting the estimated values, we get

⇒                                    [tex]=5+(1.25\times 8)[/tex]

⇒                                    [tex]=15 \ percent[/tex]

The total value will be:

=  [tex]20 +5[/tex]

=  $[tex]25 \ million[/tex]

As we know,

⇒  [tex]WACC=Respective \ costs\times Respective \ weights[/tex]

⇒              [tex]=(\frac{20}{25}\times15)+(\frac{5}{25}\times 5)[/tex]

⇒              [tex]=12+1[/tex]

⇒              [tex]=13 \ percent[/tex]

Note: % = percent

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