Please double-check the work and ensure that every answer is correct, including the decision parts.

Using the free cash flow valuation model to price an IPO Personal Finance Problem Assume that you have an opportunity to buy the stock of CoolTech, Inc., an IPO being offered for $2.09 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, . 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 5% rather than 4%. What effect would this finding have on your responses in parts a and b? ~.. a. The value of CoolTech's entire company is $ (Round to the nearest dollar.) X Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Free cash flow Year (t) Other data 2020 $680,000 Growth rate of FCF, beyond 2023 to infinity = 4% 2021 $800,000 Weighted average cost of capital = 14% 2022 $920,000 Market value of all debt = $1,720,000 2023 $1,000,000 Market value of preferred stock = $690,000 Number of shares of common stock to be issued = 1,100,000 FCF