Question

In: Finance

Here are book and market value balance sheets of the United Frypan Company. Book value balance...

Here are book and market value balance sheets of the United Frypan Company.

Book value balance sheet   

Net working capital 25 Debt 60

Long term assets    75    Equity 40

100    100

Market value balance sheet   

Net working capital    25    debt    60

Long term assets    180 equity    145

205    205

Assume that MM's theory holds except for taxes. There is no growth, and the $60 of debt is expected to be permanent. Assume a 33% corporate tax rate.

a. How much of the firm's market value is accounted for by the debt generated tax shield? (PV Tax Shield)

b. What is United Frypan's after tax WACC if r debt= 6.7% and r equity = 16.3%    (WACC %)

c. Now suppose that congress passes a law that eliminates the deductibility of interest for tax purposes. What will be the new value of the firm, other things equal? Assume a borrowing rate of 6.7%

Solutions

Expert Solution

Book value

Net working capital

25

Debt

60

Long term asset

75

equity

40

100

100

Market value

Net working capital

25

Debt

60

Long term asset

180

equity

145

205

205

1. Present value of tax shield=tax rate×debt

                          =33%×60

                          =19.8

2. WACC=Kd (1-t) ×D/V+Ke×E/v

=6.7(1-33%) ×60/205+16.3%×145/205

=4.489%×.29268+16.3%×.707317

=12.84312%

3. Tax shield on borrowing=33 %×( 6.7%×60)

               =1.3266

Total value of debt=19.8-1.3266=18.4734

Total value of firm=205-18.4734=186.5266


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