Should I Lease or Buy?
Steven W. Martin Fred Cooke, Jr. David Parvin Scott Stiles
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| Table 1. NPV (in $) of Lease Expenditure Center Pivot | |||||
| Year |
Tax Payment |
Cash Benefit |
PVIF Outflows |
PV
of Cash @ 5% |
Outflows |
| 0
|
20,844 |
20,844.00 |
1.000 |
20,844.00 |
|
| 1 |
20,844 |
9,713.30 |
11,130.70 |
0.952 |
10,596.42 |
| 2 |
20,844 |
9,713.30 |
11,130.70 |
0.907 |
10,095.54 |
| 3 |
20,844 |
9,713.30 |
11,130.70 |
0.864 |
9.616.92 |
| 4 |
20,844 |
9,713.30 |
11,130.70 |
0.823 |
9,160.56 |
| 5 |
20,844 |
9,713.30 |
11,130.70 |
0.784 |
8,726.47 |
| 6 |
20,844 |
9,713.30 |
11,130.70 |
0.746 |
8,303.50 |
| 7 |
12,500 |
9,713.30 |
2,786.70 |
0.711 |
1,981.34 |
| Totals |
158,408 |
67,993.10 |
90,414.88 |
79,324.75 |
|
Look at the cash outlays for each alternative based on the calculations thus far. Including the down payment in the cash outflows for each loan scenario, total outlay is $157,812 and $160,547 (see column 2, Tables 2 & 3). No loan origination fees are included in this example. This establishes the purchase option with the lowest cash outlay. The lease will have seven (7) payments of $20,844 (Table 1). Typically, the first payment is due at signing, which is assumed in this example. Also, as mentioned earlier, the lease includes a residual ($12,500) which is 10 percent of the entire principal of $125,000. Because center-pivots are used in this discussion, assume that the farmer will pay the residual and thus own the pivot at the end of the lease. Again, paying the residual is optional. If the farmer decided not to pay this, the lessor would retain ownership of the center-pivot. Thus, with the residual payment included, total cash outlay for the lease is $158,408.
Given the analysis, it would seem obvious that the lease would be preferable to a fully amortized loan and only $596 less preferable than a loan with equal principal payments. However, the final decision should be made using the net present value approach.
The tax benefit of lease payments is given in column 3 of Table 1; it is calculated by multiplying the lease payments in column 2 by the combined 46.6 percent (0.466) tax rate. The cash outflow in column 4 is the lease payment minus the tax benefit. A present value interest factor of 5 percent is used to discount the cash outflows. Note that 5 percent is the after-tax cost of borrowing at 8.75 percent (8.75 % x (1- 0.466) = 5%). The reason for using 5 percent for the after-tax cost of borrowing is that the cash outflows include the tax benefit. To avoid counting the tax benefit twice, cash outflows should always be discounted at an after-tax rate, which in this example is about 5 percent. This method of determining to use 5 percent is debatable, but preferred. In some cases, the current rate of inflation is used. The total present value of the lease option is $79,325.
Table 2. NPV (in $) of Purchase with Equal Principal Payments Center Pivot (Loan Amount: $93,750) |
||||||||
| Year |
Loan
Pmt. |
Interest |
Depreciation |
Ded.
Exps. @ 46.6% |
Tax
benefit Pmt |
Net
Loan @ 5% |
PV Re-Pmt after Tax |
PV
of Loan after Tax |
| 0 |
31,250 |
0 |
0 |
0 |
0 |
0 |
1 |
31,250.00 |
| 1 |
21,596 |
8,203 |
13,393 |
21,596 |
10,063.74 |
11,532.26 |
0.952 |
10,978.72 |
| 2 |
20,424 |
7,031 |
23,913 |
30,944 |
14,419.90 |
6,004.10 |
0.907 |
5,445.72 |
| 3 |
19,252 |
5,859 |
18,788 |
24,647 |
11,485.50 |
7,766.50 |
0.864 |
6,710.25 |
| 4 |
18,080 |
4,688 |
15,313 |
20,001 |
9,320.47 |
8,759.53 |
0.823 |
7,209.10 |
| 5 |
16,908 |
3,516 |
15,313 |
18,829 |
8,774.31 |
8,133.69 |
0.784 |
6,376.81 |
| 6 |
15,737 |
2,344 |
15,313 |
17,657 |
8,228.16 |
7,508.84 |
0.746 |
5,601.59 |
| 7 |
14,565 |
1,172 |
15,313 |
16,485 |
7,682.01 |
6,882.99 |
0.711 |
4,893.81 |
| 157,812 |
32,813 |
117,346 |
150,159 |
69,974.09 |
56,587.91 |
78,466.00 |
||
Table 3. NPV (in $) of Purchase with Equal Principal Payments Center Pivot (Loan Amount: $93,750) |
||||||||
| Year |
Loan
Pmt. |
Interest |
Depreciation |
Ded.
Exps. @ 46.6% |
Tax
benefit Pmt |
Net
Loan @ 5% after Tax |
PV Re-Pmt |
PV
of Loan after Tax |
| 0 |
31,250 |
0 |
0 |
0 |
0 |
0 |
1 |
31,250.00 |
| 1 |
18,471 |
8,203 |
13,393 |
21,596 |
10,063.74 |
8,407.26 |
0.952 |
8,003.72 |
| 2 |
18,471 |
7,305 |
23,913 |
31,218 |
14,547.59 |
3,923.41 |
0.907 |
3,558.53 |
| 3 |
18,471 |
6,328 |
18,788 |
25,116 |
11,704.06 |
6,766.94 |
0.864 |
5,846.64 |
| 4 |
18,471 |
5,265 |
15,313 |
20,578 |
9,589.35 |
8,881.65 |
0.823 |
7,309.60 |
| 5 |
18,471 |
4,109 |
15,313 |
19,422 |
9,050.65 |
9,420.35 |
0.784 |
7,385.55 |
| 6 |
18,471 |
2,853 |
15,313 |
18,166 |
8,465.36 |
10,005.64 |
0.746 |
7,464.21 |
| 7 |
18,471 |
1,486 |
15,313 |
16,799 |
7,828.33 |
10,642.67 |
0.711 |
7,566.94 |
| 160,547 |
35,549 |
117,346 |
152,895 |
71,249.08 |
58,047.92 |
78,385.19 |
||
In Tables 2 and 3,
column 2 gives the annual loan repayment from which the tax benefit of
interest and depreciation should be deducted. The tax benefit, as shown
in column 6, is calculated by multiplying the interest and depreciation
expenses by the tax rate of 46.6 percent. By subtracting the tax benefit
from the annual loan repayment, the loan repayment after tax is shown
in column 7. In column 9, the present value of loan repayments has been
determined, using the present value interest factor of 5 percent, to obtain
a total value of $78,466 for a loan with equal principal payments and
$78,385 for a loan with equal payments. As stated earlier, the decision
process is:
1. If NPV lease > NPV purchase, borrow and buy the equipment.
2. If NPV lease < NPV purchase, lease the equipment.
Because the present value of the purchase expenditure $78,466 or $78,385 is lower than $79,325 (lease), the purchase option is more economical. XYZ Farms could save as much as $940 in current dollars by purchasing rather than leasing the pivots ($79,325-$78,385=$940).
Obviously, $940 is not a significant savings for this level of investment. However, this analysis has exposed some points for consideration. For example, it is easy to say that the cash expense of the lease option is $2,139 less than a fully amortized loan ($160,547-$158,408 = $2,139, Column 2 in Tables 1 & 3). One could also say it would be $596 less expensive to structure a loan with equal principal payments ($158,408-$157,812 = $596). However, simply looking at the cash outlay for each alternative is only scratching the surface. Consideration must be given to the tax benefits of both leasing and purchasing. In the example, purchasing proved to be the best choice over leasing, no matter how the loan payments were structured.
Tables 4 and 5 contain similar information for a tractor/equipment comparison. The analysis is based on an equipment cost of $100,000. For the purchase analysis in table 4, a 25 percent ($25,000) down payment requirement is assumed. The balance ($75,000) is financed over a 7-year period at 7.5 percent interest (7.5% was available through one equipment dealer at the time of this writing). Table 4 shows the annual payments broken down into principal and interest payments for tax purposes. Depreciation was calculated using the MACRS method. The $14052.68 shown as tax adjusted cash flow of the residual and salvage was calculated as per Edwards, Klinefelter and McCorkle and serves to adjust the purchase option to the same contract period as the lease option.
After tax cash flow
is discounted at a 5 percent inflation rate for both the purchase and
the lease. A 33 percent tax rate is used for both options as well.
The annual lease payments shown in table 5 were calculated using a lease
factor (.3577) available from a manufacturer at the time of this writing.
A residual value of 70 percent, consistent with 600 hours annual
use, was used. As in the center pivot example, the lowest cash outlay
will be the most economical choice. In this case, the lease is slightly
better ($140.70).
Table 6 shows per
hour fixed costs on selected equipment. The fixed costs per hour for the
purchase are based on the 2000 Mississippi State Planning Budgets (MSPB).
The fixed costs per hour for the lease were obtained from various equipment
dealers. Often these comparisons are all that are considered. However,
the NPV methods and the tax advantages that have been illustrated should
be used to compare fixed costs per hour.
| Table 4. NPV (in $) Tractor Purchase Option | ||||||
| Year
0 |
Year
1 |
Year
2 |
Year
3 |
Tax
adjusted cash flow of residual and salvage value |
NPV
of the Lease |
|
| Principal payment | -25000 |
-8535 |
-9175 |
-9863 |
||
| Interest Payment | -5625 |
-4985 |
-4297 |
|||
| Depreciation | -10714 |
-19133 |
-15033 |
|||
| Tax
deductible expenses (depreciation and interest expense) |
16339 |
24118 |
19330 |
|||
| Tax
savings (such as tax deductions multiplied by tax rate; in this scenario tax rate is 33%) |
5391.87 |
7958.94 |
6378.90 |
|||
| After Tax Cash Flow | -25000 |
-8768.13 |
-6201.06 |
-7781.10 |
||
| After
Tax Cash Flow discounted for a 5% inflation rate |
-25000 |
-8350.77 |
-5624.36 |
-6190.64 |
14052.68 |
|
| NPV
of the Lease (sum of the after tax cash flows adjusted for inflation) |
-31113.10 |
|||||
| Table 5. NPV (in $) Tractor Lease Option | |||||
| Year
0 |
Year
1 |
Year
2 |
Year
3 |
NPV
of the Lease |
|
| Lease payments | -15617 |
-15617.00 |
-15617.00
|
||
| Tax savings | 5153.61 |
5153.61 |
5153.61 |
||
| After tax cash flow | -15617 |
-10463.40 |
-10463.40 |
5153.61 |
|
| Discounted after
tax cash flow |
-15617 |
-
9965.33 |
-
9490.29 |
4100.21 |
|
| NPV of the lease | -30,972.40 |
||||
| Table 6. Fixed Cost (in $) per Hour Selected Equipment | ||
| Type Equipment | Lease/Fixed
Cost per Hour |
Purchase/Fixed
Cost per Hour |
| Tractor 90 hp | 11.67 |
10.63 |
| Tractor 150 hp | 15.00 |
15.74 |
| Tractor 170 hp | 20.00 |
16.82 |
| Tractor 220 hp | 25.00 |
24.91 |
| Hi boy 60ft | 37.14 |
29.22 |
| Hi Boy 90ft | 40.00 |
39.50 |
| Cotton Picker 4-row | 125.00 |
145.38 |
| Cotton Picker 6-row | 165.00 |
173.91 |
It is extremely important to gather all the necessary information to determine which option is best. Depending on the lessees financial situation, the lower up-front costs might make the lease more attractive. A different depreciation method might have changed either outcome. Different tax rates, loan repayment periods, down payment requirements and lease factors all deliver different results. As with any economic analysis spanning several years, results are very sensitive to interest rate changes. These are but two of many scenarios that could be used as examples. Leases are also available for farm building construction.
This bulletin should be used only as a guide for producers evaluating lease versus purchase decisions. Because of the tax benefits or lack thereof, you should contact your tax adviser before making any lease/purchase decisions. Additionally, be sure that all benefits and costs are evaluated using an NPV approach.
Note: The University of Missouri has an Equipment Lease Analyzer available for downloading at: http://agebb.missouri.edu/ download/unversity/equipment.exe.
Edwards, Richard, Danny Klinefelter and Dean McCorkle. Leasing vs. Buying Farm Machinery. Texas Agricultural Extension Service. Publication L-5273 RM5-4.0 5-99. Available on the Web at http://agpublications.tamu.edu.
Internal Revenue Service. Farmers Tax Guide. Available on the Web at http://www.irs.gov.
Kay, Ronald D. and William M. Edwards. Farm Management, Third Edition. McGraw-Hill, Inc. 1994.
Massey, Ray. Leasing Farm Equipment. Department of Agricultural Economics and Commercial Agriculture Program, University of Missouri. Publication GOO429. Available on the Web at http://muextension.missouri. edu/xplor/agguides/agecon/g00429.htm.
Stiles, Scott. Leasing or Buy Decisions Demand Close Examination. University of Arkansas Extension Service. Available on the Web at http://www.aragriculture.org/News/farmmgmt/2000/HTML/march2000.asp#Lease.
Additionally, the
authors would like to thank the equipment dealers and representatives
(Eugene Tarsi and Chip Otts of West Implement, and John Ray of Ayres Implement)
who provided invaluable assistance.
Martin is an assistant specialist at the Delta Research and Extension Center (DREC) in Stoneville; Cooke is an agricultural economist at DREC; Parvin is a professor and economist, Department of Agricultural Economics, Mississippi State University; and Stiles is an assistant specialist, University of Arkansas Extension Service. For more information, contact Martin at (662) 686-3264; e-mail SMartin@ext.msstate.edu. This information sheet was published by the Office of Agricultural Communications, a unit of the Division of Agriculture, Forestry, and Veterinary Medicine at Mississippi State University.
Mention of a trademark or proprietary product does not constitute a guarantee or warranty of the product by the Mississippi Agricultural and Forestry Experiment Station and does not imply its approval to the exclusion of other products that also may be suitable.
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