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
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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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