Question

In: Finance

Year 0 1 Revenue 600.00 Fixed costs 100.00 Variable costs 200.00 Additional investment in NWC 10.00...

Year 0 1
Revenue 600.00
Fixed costs 100.00
Variable costs 200.00
Additional investment in NWC 10.00
Additional investment in operating long-term assets 70.00
Depreciation 60.00
Interest expenses 35.00
Newly issued debt 25.00
Principle repayments 15.00
Tax rate 0.40
Market value of the firm:
Price per share No. of shares Market value
Short-term debt 100.00
Long-term debt 600.00
Preferred stock 10.00 10 100.00
Common stock, equity 18.00 100 1,800.00
Total 2,600.00
Cost of equity (Rs) 0.1500
Growth rate per year from year 1 through year 5 0.10
Growth rate after year 5 0.07

What is the price per share according to the equity free cash flow model?

Select one:

a. $18.29

b. $10.98

c. $15.51

d. $20.87

e. $12.33

Solutions

Expert Solution

Given annual details:

Revenue = 600; Fixec cost = 100; Variable cost = 200; Depreciation = 60; Interest =35;

Earnings before tax and after depreciation = Revenue - Fixed cost - Variable cost -Interest - Depreciation = 600-100-200-35-60 =205. Tax @40% on 205 = 205*(0.40) = 82.

Therefore, Earnings afrter tax = 205-82 = 123

Add Depreciation ( since this is cash flow, depreciation will not have any cashflow impact) = 60

Hence, cashflow per annum = 123+60 = 183.

Net cashflow per annum = 183- 10 (Additional Working capital required) = 173

Value of firm = Present value of Future discounted cashflows.

= Year1 cashflow * Present value factor of 10% for 1st 5 years + Year 6 cash flow*P.V factor of year6 / (cost of equity - growth rate till perpetuity)

=173 * 3.791 (based on present value cumulative table) + [173 * 0.564(year 6 PV as per PV table) / (0.15 - 0.07)]

=655.84 + [97.572 / (0.08)]

=655.84+1219.65

=1875.49

Value of Firm = 1875.49

Less: Long term operating investments = 70

Less : Principal repayments = 15

Add: New debt raised = 25

Therefore adjusted value of firm = 1875.49 - 70 - 15 + 25 = 1815.49

Less : Short term and Long term debt = 100+600 = 700

Less : Preference stock = 100

= Total value of equity = 1815.49-700-100 = 1015.49

Therefore, value per share = 1015.49/100 = $ 10.15

Nearest option to this is $ 10.98.


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