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According to the value-based management model, what is the stock price per share

ID: 2492296 • Letter: A

Question

According to the value-based management model, what is the stock price per share given the following data?

Year

1

Revenue

700.00

Other income

25.00

Fixed costs

90.00

Variable costs

280.00

Additional investment in NWC

3.00

Additional investment in operating long-term assets

80.00

Depreciation

75.00

Tax rate

0.40

The free cash flow is expected to grow at 8% from year 1 to year 5 and 6% after year 5 to infinity. WACCcomp = 20%.

Market value of the firm:

Price per share

Number of shares

Market value

Long-term debt

700.00

Preferred stock

7.00

10

70.00

Common stock, equity

15.00

100

1,500.00

Total

2,270.00

Market value of non-operating short-term assets=50

Market value of non-operating long-term assets=80

Select one:

a. $7.22

b. $8.54

c. $6.90

d. $9.97

e. $5.68

Year

1

Revenue

700.00

Other income

25.00

Fixed costs

90.00

Variable costs

280.00

Additional investment in NWC

3.00

Additional investment in operating long-term assets

80.00

Depreciation

75.00

Tax rate

0.40

Explanation / Answer

Note: Additional investment in NWC, Additional investment in operating long-term assets and Other income are not recurring nature and accordingly not concidered for free cash flows.

Note: Additional casf flow =25-3-80 = - 58  

Perpetual Value of Cash flows after 5th year = Cash Flow * Growth/(Cost of capital - Growth rate), applying Gordon's growth model.

= 310.2*1.06/(0.20-0.06) = 2348.59

Present value of 2348.59 = 2348.59*DF @20% for 5th year = 2348.59*0.402 = 943.84

Price per share based on discounted cash flow basis would be $10.34

Cash Flow Statement of Year 1 Particulars Amount $ Revenue 700 Other income - non-recurring nature, so not concidered for free cash flows 0 Total revenue 700 Less variable Cost -280 Less Fixed Cost Cost -90 Less Depreciation, assumed it is not included in above fixed cost -75 Profit before tax 255 Less Tax -102 Net Income 153 Add Depreciation 75 Free Cash Flow 228
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