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Kohers Inc. is considering a leasing arrangement to finance some manufacturing t

ID: 2668417 • Letter: K

Question

Kohers Inc. is considering a leasing arrangement to finance some manufacturing tools that it needs for the next 3 years. The tools will be obsolete and worthless after 3 years. The firm will depreciate the cost of the tools on a straight-line basis over their 3-year life. It can borrow $4,800,000, the purchase price, at 10% and buy the tools, or it can make 3 equal end-of-year lease payments of $2,100,000 each and lease them. The loan obtained from the bank is a 3-year simple interest loan, with interest paid at the end of the year. The firm's tax rate is 40%. Annual maintenance costs associated with ownership are estimated at $240,000, but this cost would be borne by the lessor if it leases. What is the net advantage to leasing (NAL), in thousands? (Suggestion: Delete 3 zeros from dollars and work in thousands.)

Explanation / Answer

Annual depreciation = $4,800,000/3 = $1,600,000.

(In thousands)                                    Year                   

                                 0           1         2          3

I.   Cost of owning

      Net purchase price    ($4,800)

     Maintenance cost                   ($ 240)   ($ 240)   ($ 240)

      Maintenance tax savings

          (Line 2 ´ 0.4)                    96         96         96

      Depreciation                     1,600      1,600      1,600

      Depreciation tax savings

          (Line 4 ´ 0.4)                   640        640        640

      Net cash flow                    ($4,800)      496       496       496

      PV cost of owning

          (6%)            ($3,474.2)

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II. Cost of leasing

     8) Lease payment                    ($2,100)   ($2,100)   ($2,100)

     9) Lease pmt tax savings               840        840        840

    10) Net cash flow          $    0    ($1,260)   ($1,260)   ($1,260)

    11) PV cost of leasing

          (@6%)               ($3,368.0)

III. Cost comparison

     Net advantage to leasing:

        NAL = PV cost of owning - PV cost of leasing

            = $3,474.2 - $3,368.0 = $106.2.

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Inputs: CF0 = -4800; CF1 = 496; Nj = 3; I/YR = 6.

         Output: NPV = -$3,474.2.

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Leasing: Inputs: CF0 = 0; CF1 = -1260; Nj = 3; I/YR = 6.

          Output: NPV = -$3,368.0.

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NAL = $3,474.2 - $3,368.0 = $106.2.

, NAL = $106.2 ´ 1,000 = $106,200.