P15-1 P15–1 Cash conversion cycle American Products is concerned about managing cash efficiently. On average, inventories have an age of 80 days, and accounts receivable are collected in 40 days....

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Answered Same DayApr 30, 2021

Answer To: P15-1 P15–1 Cash conversion cycle American Products is concerned about managing cash efficiently. On...

Akshay Kumar answered on Apr 30 2021
151 Votes
P17-4
    P17–4 Lease versus purchase JLB Corporation is attempting to determine whether to lease or purchase research equipment. The firm is in the 21% tax bracket, and its after-tax cost of debt is currently 8%. The terms of the lease and of the purchase are as follows:
    Lease Annual end-of-year lease payments of $25,200 are required over the 3-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 $5,000 at termination of the lease.
    Purchase The research equipment, costing $60,000, can be financed entirely with a 14% loan requiring annual end-of-year payments of $25,844 for 3 years. The firm in this case will depreciate the equipment under MACRS using a 3-year recovery period. (See Table 4.2 for the applicable depreciation percentages.) The firm will pay $1,800 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 3-year recovery period.
    a. Calculate the after-tax cash outflows associated with each alternative.
    b. Calculate the present value of each cash outflow stream, using the after-tax cost of debt.
    c. Which alternative—lease or purchase—would you recommend? Why?
    Table 4.2
    Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes
        Percentage by recovery year
    Recovery year    3 years    5 years    7 years    10 years
    a These percentages have been rounded to the nearest whole percent.
      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%
    For assets depreciated under MACRS, the half-year convention assumes that, on average, firms acquire assets in the middle of the year, so the allowable depreciation deduction in the first year is smaller than it would be if firms could take a full year’s worth of depreciation in the year they purchase an asset. Because firms can take only a half-year’s worth of depreciation in the first year, they can take an extra half-year in the year after the asset’s useful life officially ends. To illustrate, observe that in Table 4.2 an asset falling in the 3-year recovery class is depreciated over 4 years, an asset in the 5-year recovery class is depreciated over 6 years, and so on. The first and last year’s depreciation charges represent a half-year’s worth of depreciation.
    Answers
    a)
    Calculations of After Tax Outflows for Leasing Alternatives
    Year    Payment type    Amount    Tax Rate    Lease Payment After Tax
(Amount*(1-Tax Rate))
    1    Annual Lease Payment    25,200    21%    19,908.00
    2    Annual Lease Payment    25,200    21%    19,908.00
    3    Annual Lease Payment    25,200    21%    19,908.00
    3    Purchase of Assets    5,000        5,000.00
    Thus, Annual After Tax Outflows is
    Year    Annual After Tax Outflows
    1    19,908.00
    2    19,908.00
    3    24,908.00
    Calculations of After Tax Outflows for Purchase Alternatives
    Step 1: Amortization Schedule
    Year    Opening Balance    Annual Payment    Interest (@ 14%)    Loan Reduction    Closing Balance
    1    60,000.00    25,844    8,400.00    17,444.00    42,556.00
    2    42,556.00    25,844    5,957.84    19,886.16    22,669.84
    3    22,669.84    25,844    3,173.78    22,670.22    - 0
    Step 2: Tax benefit on Expense
    Year    Interest    Depreciation    Contact Fees    Tax Rate    Tax Benefit
    1    8,400.00    19,800    1,800.00    21%    6,300.00
    2    5,957.84    27,000    1,800.00    21%    7,299.15
    3    3,173.78    9,000    1,800.00    21%    2,934.49
    4    - 0    4,200    - 0    21%    882.00
    Step 3: Cash Outflows
    Year    Annual Payment    Contact Fees    Tax Benefit    Annual After Tax Outflow
    1    25,844    1,800.00    6,300.00    21,344.00
    2    25,844    1,800.00    7,299.15    20,344.85
    3    25,844    1,800.00    2,934.49    24,709.51
    4            882.00    (882.00)
    b) Present Value of Outflows at 8% After tax debt...
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