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

According to the question,

The computation of the horizontal value will be:

→

→

→

→

→

hence,

The horizon value will be:

=

By putting the values, we get

=

= ($)

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

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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.

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