Question

In: Finance

You have the following information about two firms, Debt Free, Inc. and Debt Spree, Inc. Both...

You have the following information about two firms, Debt Free, Inc. and Debt Spree, Inc. Both firms have the same prospects for sales and EBIT, and both have the same level of assets, tax rate and borrowing rate. They differ in their use of debt financing.

Scenario Sales EBIT
Bad year 200 24
Normal year 275 30
Good year 380 49

Debt Free Debt Spree
Total assets 250 250
Tax rate 35 % 35 %
Debt 0 150
Equity 250 100
Borrowing rate 16 % 16

%

Calculate the interest expense for each firm:

Interest expense for Debt Free            $

Interest expense for Debt Spree            $

Calculate the following items for each firm for each scenario (bad year, normal year, good year): return on assets (ROA), net profit, and return on equity (ROE). (Use a minus sign to indicate negative answers. Round your answers to 2 decimal places.)

Debt Free Debt Spree
Scenario ROA Net Profit ROE ROA Net Profit ROE
Bad year % % % %
Normal year % % % %
Good year % % % %

Solutions

Expert Solution

Interest expense = Debt*borrowing rate

  • Debt Free = 0.00*16% = 0.00
  • Debt Spree = 150*16% = 24.00

ROA = EBIT/Total Assets

Debt Free Debt Spree
Scenario EBIT Total Assets ROA = EBIT/Total Assets EBIT Total Assets ROA = EBIT/Total Assets
Bad 24.00 250.00 9.60% 24.00 250.00 9.60%
Normal 30.00 250.00 12.00% 30.00 250.00 12.00%
Good 49.00 250.00 19.60% 49.00 250.00 19.60%

Net Profit = (EBIT - Interest)*(1-tax)

Debt Free Debt Spree
Scenario EBIT Interest Expense EBT = EBIT-Int Tax @ 35% Net Profit = EBT-tax EBIT Interest Expense EBT = EBIT-Int Tax @ 35% Net Profit = EBT-tax
Bad 24.00 0.00 24.00 8.40 15.60 24.00 24.00 0.00 0.00 0.00
Normal 30.00 0.00 30.00 10.50 19.50 30.00 24.00 6.00 2.10 3.90
Good 49.00 0.00 49.00 17.15 31.85 49.00 24.00 25.00 8.75 16.25

ROE = Net Profit/Equity

Debt Free Debt Free
Scenario Net Profit Equity ROE = Net Profit/Equity Net Profit Equity ROE = Net Profit/Equity
Bad 15.60 250.00 6.24% 0.00 100.00 0.00%
Normal 19.50 250.00 7.80% 3.90 100.00 3.90%
Good 31.85 250.00 12.74% 16.25 100.00 16.25%

Therefore the final table will be:

Debt Free Debt Spree
Scenario ROA Net Profit ROE ROA Net Profit ROE
Bad year 9.60% % 15.60 6.24% % 9.60% % 0.00 0.00% %
Normal year 12.00% % 19.50 7.80% % 12.00% % 3.90 3.90% %
Good year 19.60% % 31.85 12.74% % 19.60% % 16.25 16.25% %

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