Question

Company J must choose between two alternate business expenditures. Expenditure 1 would require a $80,000 cash outlay and Expenditure 2 requires a $60,000 cash outlay.

a. Determine the marginal tax rate at which the after-tax cash flows from the two expenditures are equal assuming that Expenditure 1 is fully deductible and Expenditure 2 is nondeductible.
b. Determine the marginal tax rate at which the after-tax cash flows from the two expenditures are equal assuming that Expenditure 1 is 50% deductible and Expenditure 2 is nondeductible.

Answer 1

A. 25%

B. 50%

C. 48000 after tax cash flow

Step-by-step explanation:

a. lets assume marginal tax rate is X%

After tax cash flow of 80000 should equal to 60000$

$80000 - [$80000*X%] = 60000$

80000*X% = 80000-60000

80000*X% =20000

X = 20000/80000

= 25%

b.

$80000 - [$80000*50%*x%] = 60000$

40000*x%=20000

x%=50%

c.

$80000- [$80000*x] = 60000 - [60000*50%*x]

80000-60000 = [80000*x] - [30000*x]

20000 = 50000x

x=40%

check

80000-40% =48000 after tax cash flow

60000*50%

=60000- [60000*50%*40%]

=48000 after tax cash flow