JLB Corporation is attempting to determine whether to lease or purchase research equipment. The firm is in the 27% tax bracket, and its after-tax cost of debt is currently 9%. The terms of the lease and of the purchase are as follows: Lease: Annual end-of-year lease payments of $30,000 are required over the three-year life of the lease. All maintenance costs will be paid by the lessor; insurance and other costs will be borne by the lessee. The lessee will exercise its option to purchase the asset for $3,000 at termination of the lease. Ignore any future tax benefit associated with the purchase of the equipment at the end of year 3 under the lease option. Purchase: The equipment costs $70,000 and can be financed with a 14% loan requiring annual end-of-year payments of $30,151 for three years. JLB will depreciate the equipment under MACRS using a three-year recovery period. JLB will pay $2,200 per year for a service contract that covers all maintenance costs; insurance and other costs will be borne by the firm. The firm plans to keep the equipment and use it beyond its three-year recovery period. Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes Percentage by recovery year Superscript a Recovery year 3 years 5 years 7 years 10 years 1 33% 20% 14% 10% 2 45% 32% 25% 18% 3 15% 19% 18% 14% 4 7% 12% 12% 12% 5 12% 9% 9% 6 5% 9% 8% 7 9% 7% 8 4% 6% 9 6% 10 6% 11 4% Totals 100% 100% 100% 100% Superscript aThese percentages have been rounded to the nearest whole percent to simplify calculations while retaining realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded percentages or directly apply double-declining balance depreciation using the half-year convention. a. Calculate the after-tax cash outflows associated with each alternative. (Hint: Because insurance and other costs are borne by the firm under both alternatives, those costs can be ignored here.) b. Calculate the present value of each stream, using the after-tax cost of debt. c. Which alternative—lease or purchase—would you recommend? Why?
JLB Corporation is attempting to determine whether to lease or purchase research equipment. The firm is in the 27% tax bracket, and its after-tax cost of debt is currently 9%. The terms of the lease and of the purchase are as follows: Lease: Annual end-of-year lease payments of $30,000 are required over the three-year life of the lease. All maintenance costs will be paid by the lessor; insurance and other costs will be borne by the lessee. The lessee will exercise its option to purchase the asset for $3,000 at termination of the lease. Ignore any future tax benefit associated with the purchase of the equipment at the end of year 3 under the lease option. Purchase: The equipment costs $70,000 and can be financed with a 14% loan requiring annual end-of-year payments of $30,151 for three years. JLB will depreciate the equipment under MACRS using a three-year recovery period. JLB will pay $2,200 per year for a service contract that covers all maintenance costs; insurance and other costs will be borne by the firm. The firm plans to keep the equipment and use it beyond its three-year recovery period. Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes Percentage by recovery year Superscript a Recovery year 3 years 5 years 7 years 10 years 1 33% 20% 14% 10% 2 45% 32% 25% 18% 3 15% 19% 18% 14% 4 7% 12% 12% 12% 5 12% 9% 9% 6 5% 9% 8% 7 9% 7% 8 4% 6% 9 6% 10 6% 11 4% Totals 100% 100% 100% 100% Superscript aThese percentages have been rounded to the nearest whole percent to simplify calculations while retaining realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded percentages or directly apply double-declining balance depreciation using the half-year convention. a. Calculate the after-tax cash outflows associated with each alternative. (Hint: Because insurance and other costs are borne by the firm under both alternatives, those costs can be ignored here.) b. Calculate the present value of each stream, using the after-tax cost of debt. c. Which alternative—lease or purchase—would you recommend? Why?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
JLB Corporation is attempting to determine whether to lease or purchase research equipment. The firm is in the 27% tax bracket, and its after-tax cost of debt is currently 9%. The terms of the lease and of the purchase are as follows:
Lease: Annual end-of-year lease payments of $30,000 are required over the three-year life of the lease. All maintenance costs will be paid by the lessor; insurance and other costs will be borne by the lessee. The lessee will exercise its option to purchase the asset for $3,000 at termination of the lease. Ignore any future tax benefit associated with the purchase of the equipment at the end of year 3 under the lease option.
Purchase: The equipment costs $70,000 and can be financed with a 14% loan requiring annual end-of-year payments of $30,151 for three years. JLB will depreciate the equipment under MACRS using a three-year recovery period. JLB will pay $2,200 per year for a service contract that covers all maintenance costs; insurance and other costs will be borne by the firm. The firm plans to keep the equipment and use it beyond its three-year recovery period.
Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes
|
||||
|
Percentage by recovery
year Superscript a
|
|||
Recovery year
|
3 years
|
5 years
|
7 years
|
10 years
|
1
|
33%
|
20%
|
14%
|
10%
|
2
|
45%
|
32%
|
25%
|
18%
|
3
|
15%
|
19%
|
18%
|
14%
|
4
|
7%
|
12%
|
12%
|
12%
|
5
|
|
12%
|
9%
|
9%
|
6
|
|
5%
|
9%
|
8%
|
7
|
|
|
9%
|
7%
|
8
|
|
|
4%
|
6%
|
9
|
|
|
|
6%
|
10
|
|
|
|
6%
|
11
|
|
|
|
4%
|
Totals
|
100%
|
100%
|
100%
|
100%
|
Superscript aThese
percentages have been rounded to the nearest whole percent to simplify calculations while retaining realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded percentages or directly apply double-declining balance depreciation using the half-year convention. |
a. Calculate the after-tax cash outflows associated with each alternative.
(Hint:
Because insurance and other costs are borne by the firm under both alternatives, those costs can be ignored here.)b. Calculate the present value of each stream, using the after-tax cost of debt.
c. Which alternative—lease or purchase—would you recommend? Why?
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