Minimizing the present value of after-tax costs


Assignment: Edison Electronics is considering whether to borrow funds and purchase an asset or to lease the asset under an operating lease arrangement. If it purchases the asset, the cost will be $8,000. It can borrow funds for four years at 12 percent interest. The firm will use the three-year MACRS depreciation category (with the associated four-year write-off). Assume a tax rate of 35 percent.

Lease versus purchase Decision:

The other alternative is to sign two operating leases, one with payments of $2,100 for the first two years, and the other with payments of $3,700 for the last two years. In your analysis, round all values to the nearest dollar.

Q1. Compute the after-tax cost of the leases for the four years.

Q2. Compute the annual payment for the loan (round to the nearest dollar).

Q3. Compute the amortization schedule for the loan. (Disregard a small difference from a zero balance at the end of the loan due to rounding.)

Q4. Determine the depreciation schedule (see Table).

Q5. Compute the after-tax cost of the borrow–purchase alternative

Q6. Compute the present value of the after-tax cost of the two alternatives. Use a discount rate of 8 percent.

Q7. Which alternative should be selected, based on minimizing the present value of after-tax costs?

Depreciation Year

3-Year MACRS

5-Year MACRS

7-Year MACRS

10-Year MACRS

15-Year MACRS

20-Year MACRS

1

.333

.200

.143

.100

.050

.038

2

.445

.320

.245

.180

.095

.072

3

.148

.192

.175

.144

.086

.06

4

.074

.115

.125

.115

.077

.062

5

 

.115

.089

.092

.069

.057

6

 

.058

.089

.074

.062

.053

7

 

 

.089

.066

.059

.045

8

 

 

.045

.066

.059

.045

9

 

 

 

.065

.059

.045

10

 

 

 

.065

.059

.045

11

 

 

 

.033

.059

.045

12

 

 

 

 

.059

.045

13

 

 

 

 

.059

.045

14

 

 

 

 

.059

.045

15

 

 

 

 

.059

.045

16

 

 

 

 

.030

.045

17

 

 

 

 

 

.045

18

 

 

 

 

 

.045

19

 

 

 

 

 

.045

20

 

 

 

 

 

.045

21

 

 

 

 

 

.017

 

1.000

1.000

1.000

1.000

1.000

1.000

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Finance Basics: Minimizing the present value of after-tax costs
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