# Answer to Question #6530 in Economics of Enterprise for LaMarcus Streeter

Question #6530

2. Leak Inc. forecasts the free cash flows (in millions) shown below. If the weighted average cost of capital is 11% and FCF is expected to grow at a rate of 5% after Year 2, what is the Year 0 value of operations, in millions? Assume that the ROIC is expected to remain constant in Year 2 and beyond (and do not make any half-year adjustments).

Year: 1 2

Free cash flow: -$50 $100

a. $1,456

b. $1,529

c. $1,606

d. $1,686

e. $1,770

Year: 1 2

Free cash flow: -$50 $100

a. $1,456

b. $1,529

c. $1,606

d. $1,686

e. $1,770

Expert's answer

The answer is A.

Using the dividend growth model we have: C2 = FCF of year 3 / (WACC - Growth). FCF of year 3 = 100*(1+0.05) = 105. Thus, C2 = 105 / (11%-5%) = 1,750.

Now we need to calculate NPV: where

opportunity cost of capital;

NPV = (50)/(1+0,11) + 100/(1+0,11)^2 + 1750/(1+0,11)^2 = 1 456, 46.

Using the dividend growth model we have: C2 = FCF of year 3 / (WACC - Growth). FCF of year 3 = 100*(1+0.05) = 105. Thus, C2 = 105 / (11%-5%) = 1,750.

Now we need to calculate NPV: where

*t -*the time of the cash flow;*r -*the discount rate (the rate of return that could be earned on an investment in the financial markets with similar risk.); theopportunity cost of capital;

*C*t is the net cash flow (the amount of cash, inflow minus outflow) at time*t.*NPV = (50)/(1+0,11) + 100/(1+0,11)^2 + 1750/(1+0,11)^2 = 1 456, 46.

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