Using the free cash flow valuation model to price an IPO

Personal Finance ProblemAssume that you have an opportunity to buy the stock of CoolTech, Inc., an IPO being offered for $16.27 per share. Although you are very much interested in owning the company, you are concerned about whether it is fairly priced. To determine the value of the shares, you have decided to apply the free cash flow valuation model to the firm's financial data that you've accumulated from a variety of data sources. The key values you have compiled are summarized in the following table,

Year (T) FCF Other data

2020 $660,000 Growth rate of FCF, beyond 2023 to infinity=5%

2021 $810,000 Weighted average cost of capital=9%

2022 $920,000 Market value of all debt=4,260,000

2022 $1,000,000 Market value of preferred stock= $1,700,000

Number of shares of common stock to be issued = 1,100,000

a. Use the free cash flow valuation model to estimate CoolTech's common stock value per share.

b.Judging by your finding in part a and the stock's offering price, should you buy the stock?

c. On further analysis, you find that the growth rate in FCF beyond 2023 will be 6% rather than 5%.

What effect would this finding have on your responses in parts a and b?