Question

In: Finance

TRX Corporation is expected to generate free cash flows (FCF) of $6.45 million in year 1,...

TRX Corporation is expected to generate free cash flows (FCF) of $6.45 million in year 1, $8.78 million in year 2, $11.15 million in year 3, and $15.54 million in year 4. After then, the FCF will grow by 3% per year. TRX has 10 million shares outstanding, $4 million in excess cash, and it has $2 million in debt. If its cost of capital is 7%, the stock price would be $________? Input your answer without the $ sign and round your answer to two decimal places.

Solutions

Expert Solution

Answer : Calculation of Stock Price :

For the purpose of Calculation of Stock Price , we first need to estimate Value of Equity :

Value of Equity = Value of Firm + Excess Cash - Debt Outstanding

Below is the table showing calculation of Value of Firm :

Year Free Cash Flows (in million) PVF @7% [1 / (1 + 0.07)^n] Present Value of Cash Flows
1 6.45 0.934579439 6.028037383
2 8.78 0.873438728 7.668792034
3 11.15 0.816297877 9.101721327
4 15.54 0.762895212 11.8553916
4 400.155 (Terminal Value) 0.762895212 305.2763336
Value of Firm 339.9302759

Terminal Value = [Free Cash Flow in year 4 * (1 + growth rate)] / (Cost of Capital - growth rate)

= [15.54 * (1 + 0.03)] / [0.07 - 0.03]

= 400.155 million

Value of Equity = Value of Firm + Excess Cash - Debt Outstanding

= 339.9302759 + 4 - 2

= $341.9302759 million

Stock Price = Value of equity / Number of shares outstanding

= $341.9302759 miillion / 10 million

= 34.19


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