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A company forecasts growth of 6 percent for the next five years and 3 percent thereafter. Given last year's free cash flow was $100, what is its horizon value (PV looking forward from year 4) if the company cost of capital is 8 percent?

a. $0
b. $1,672
c. $2,000
d. $2,676

Respuesta :

Answer:

d. $2,676

Explanation:

The computation of the horizontal value is shown below:

FCF1 = (100 × 1.06) = 106

FCF2  = (106 × 1.06) = 112.36

FCF3 = (112.36 × 1.06) = 119.1016

FCF4  = (119.1016 × 1.06) = 126.247696

FCF5  = (126.247696 × 1.06) = 133.8225578

Now

Horizon value is

= FCF5 ÷ (Cost of capital  - Growth rate)

= 133.8225578 ÷ (0.08  - 0.03)

= $2,676

Hence, the correct option is d.

Cricetus

The horizon value will be "$2,676".

According to the question,

The computation of the horizontal value will be:

→ [tex]FCF_1 = 100\times 1.06[/tex]

             [tex]= 106[/tex]

→ [tex]FCF_2 = 106\times 1.06[/tex]

             [tex]= 112.36[/tex]

→ [tex]FCF_3 = 112.36\times 1.06[/tex]

             [tex]= 119.1016[/tex]

→ [tex]FCF_4 = 119.1016\times 1.06[/tex]

             [tex]= 126.25[/tex]

→ [tex]FCF_5 = 126.25\times 1.06[/tex]

             [tex]= 133.8226[/tex]

hence,

The horizon value will be:

= [tex]\frac{FCF_5}{Cost \ of \ capital - Growth \ rate}[/tex]

By putting the values, we get

= [tex]\frac{133.8226}{0.08-0.03}[/tex]

= [tex]2,676[/tex] ($)

Thus the above approach i.e., "option d" is right.

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