Suppose you are asked to value a small start-up company that is expected to generate a Free Cash
Flow of - $100 million next year, and - $50 million in the following year (year 2), before the firm
turns profitable in year 3. Its first positive cash flow is equal to $2 million, and cash flows are expected to grow at a rate of 15% per year for 10 years (until year 13). Then, between year 13 and 14,
the growth rate drops to 7% and stays there forever. Value the start-up company if the relevant discount rate is equal to 9%.
My question is when calculating the perpetuity with a cosntant growth rate, why we muliply:
1/(1+r)^13 * E(CF_14)/0,09-0,07
Why does this make sense?
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