Question

Suppose Clorox can lease a new computer data processing system for 971,000 per year for five...

Suppose Clorox can lease a new computer data processing system for 971,000 per year for five years. Alternately it can purchase the system for 4.22 million. Assume Clorox has a borrowing cost of 6.7% and a tax rate of 35% and the system will be obsolete at the end of two years.

A. If Clorox will depreciate the computer equipment on a straight line basis over the next five years, and if the lease qualifies a true tax lease qualifies as a true tax lease. Is it better to lease or finance the purchase of the equipment?

B. Suppose that if Clorox buys the equipment, it will use accelerated depreciation for tax purposes. Specifically, suppose it can expense 20% of the purchase price immediately and can take depreciation equal to 32%, 19.2%, 11.5%, 11.52% and 5.76% of the purchase price over the next five years. Compare leasing with purchase in this lease.

C. If Clorox buys the equipment it will pay 4.22 million upfront and have depreciation expenses of ____ per year, and generating a depreciation tax shield of____per year for years 1-5

Please if you can break this down step by step, and also this question has 12 parts. Thank You

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Answer #1

Sol A: True Tax lease basically means that the Lessee in our Case Clorox can take benefit for Tax Purposes of Lease Rent expense only. The Lessor can take benefit of Depreciation for Tax Purposes. Thus, while comparing leasing with buying option in this case. The Basic outflows in Leasing will be Lease Rent and the only inflow will be Tax Saving on Lease Rent expense i.e. 35% of Lease Rental (971000*0.35=339850). The purchase option on the other hand will have an initial outflow of 4.22 mn and a Net Interest (6.70%(1-0.35)=4.36% of Purchase Cost. The inflows will be depreciation as it is a non cash expense and Tax Savings of 35% of Depreciation Expense. This will then enable us to compare both the options in which Buying Option is the Benifiticial Option for Clorox. The Cash Flows are as under:

Time Type Cash Flow Leasing Cash Flow Purchase
0 Purchase 0 -4220000
1 Lease Rent -971000 0
1 Depreciation 844000
1 Interest Cost 0 -183781
1 Tax Shield 339850 295400
2 Lease Rent -971000 0
2 Depreciation 0 844000
2 Interest Cost 0 -183781
2 Tax Shield 339850 295400
3 Lease Rent -971000 0
3 Depreciation 0 844000
3 Interest Cost 0 -183781
3 Tax Shield 339850 295400
4 Lease Rent -971000 0
4 Depreciation 0 844000
4 Interest Cost 0 -183781
4 Tax Shield 339850 295400
5 Lease Rent -971000 0
5 Depreciation 0 844000
5 Interest Cost 0 -183781
5 Tax Shield 339850 295400
Total Cost -3155750 558095

Sol B. The question should have been as non tax lease as with true tax lease the benefit of depreciation is going to the lessor and not to Clorox who is Lessee. Thus the Cash flow calculations are given below and we have left the interest cost delebritely so to just see what impact that accelerated Depreciation has on Buying the Process. It is having a positive impact calculated as under:-

Time Type Cash Flows Leasing Cash Flows Buying W No 1
0 Buying 0 -4220000 Depreciation Schedule
0 Dep @ 20% 0 844000 Buying Cost 4220000
0 Tax Shield 0 295400 Time 0 @ 20% -844000
1 Lease Rent -971000 0 Balance at end of Year 0 3376000
1 Dep @ 32% 0 1350400 Time 1 @ 32% -1350400
1 Tax Shield 339850 472640 Balance at the end of Year 1 2025600
1 Lease Rent -971000 0 Time 2 @ 19.2% -810240
1 Dep @ 19.2% 0 810240 Balance at the end of Year 2 1215360
1 Tax Shield 339850 283584 Time 3 @ 11.5% -485300
1 Lease Rent -971000 0 Balance at the end of Year 3 730060
1 Dep @ 11.50% 0 485300 Time 4 @ 11.52% -486144
1 Tax Shield 339850 169855 Balance at the end of Year 4 243916
1 Lease Rent -971000 0 Time 5 @ 5.76% -243072
1 Dep @ 11.52% 0 486144 Balance at the end of Year 5 844
1 Tax Shield 339850 170150.4
1 Lease Rent -971000 0
1 Dep @ 5.76% 0 243072
1 Tax Shield 339850 85075.2
Total Cost -3155750 1475860.6

Sol C. Depreciation Expenses on Straight Line basis is 844000 per year and Depreciation Tax Shield is 35% of this expense as 295400. The calculation is as under:

W No 1 Depreciation
Cost of Purchase 4220000
Term Years 5
SLM 844000 Dep / Year
W No 2 Tax Shield Tax (No Dep / Int)
Suppose PBDIT 1000000 1000000
Depreciation 844000 0
Interest 0 0
PBT 156000 1000000
Tax @ 35% 54600 350000
Thus Tax Shield 295400 or 35% of Depreciation
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