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River Cruises is all-equity-financed with 100,000 shares. It now proposes to issue $250,000 of debt at...

River Cruises is all-equity-financed with 100,000 shares. It now proposes to issue $250,000 of debt at an interest rate of 10% and to use the proceeds to repurchase 25,000 shares. Suppose that the corporate tax rate is 21%. Calculate the dollar increase in the combined after-tax income of its debt-holders and equity-holders if profits before interest are: (Do not round intermediate calculations.)

a. 75,000

b. 100,000

c. 175,000

what is the increase in cash for for a b and c

Solutions

Expert Solution

(a) Profit Before Tax is $ 75,000

EPS Before EPS After
EBIT                       75,000.00                        75,000.00
(-) Interest                                      -                          25,000.00
EBT                       75,000.00                        50,000.00
(-) Tax @ 21%                       15,750.00                        10,500.00
EAT                       59,250.00                        39,500.00
No of shares                   1,00,000.00                        75,000.00
EPS = EAT/ No of shares                             0.5925                              0.5267

Combined after-tax income of its debt-holders and equity-holders = 25,000*(0.79) + 39,500 = $ 59,250

(b) Profit Before Tax is $1,00,000

EPS Before EPS After
EBIT                   1,00,000.00                     1,00,000.00
(-) Interest                                      -                          25,000.00
EBT                   1,00,000.00                        75,000.00
(-) Tax @ 21%                       21,000.00                        15,750.00
EAT                       79,000.00                        59,250.00
No of shares                   1,00,000.00                        75,000.00
EPS = EAT/ No of shares                             0.7900                              0.7900

Combined after-tax income of its debt-holders and equity-holders = 25,000*(0.79) + 59,250 = $ 79,000

(c)Profit Before Tax is $1,75,000

EPS Before EPS After
EBIT                   1,75,000.00                     1,75,000.00
(-) Interest                                      -                          25,000.00
EBT                   1,75,000.00                     1,50,000.00
(-) Tax @ 21%                       36,750.00                        31,500.00
EAT                   1,38,250.00                     1,18,500.00
No of shares                   1,00,000.00                        75,000.00
EPS = EAT/ No of shares                             1.3825 1.5800

Combined after-tax income of its debt-holders and equity-holders = 25,000*(0.79) + 1,18,500 = $ 1,38,250


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