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The problem below allows you to demonstrate your understanding of these concepts. A company needs to expand its facilities. To do so, the firm must

The problem below allows you to demonstrate your understanding of these concepts.

A company needs to expand its facilities. To do so, the firm must acquire a machine costing $80,000. The machine can be leased or purchased. The firm is in the 25% tax bracket, and its after-tax cost of debt is 9%. The terms of the lease and purchase plans are as follows:

Lease. The leasing arrangement requires end-of-year payments of $19,800 over 5 years. 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 $24,000 at the termination of the lease.

Purchase. If the firm purchases the machine, its cost of $80,000 will be financed with a 5-year, 10% loan requiring equal end-of-year payments. The machine will be depreciated under MACRS using a 5-year recovery period (depreciation rates of 20%, 32%, 19%, 12%, and 12%, respectively). The firm will pay $2,000 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 5-year recovery period. (Hint: solve for the annual end-of-year loan payment first.)

  1. Determine the after-tax cash outflows of the Company under each alternative.
  2. Find the present value of each after-tax cash outflow stream, using the after-tax cost of debt (9%) as your discount rate.
  3. Which alternativelease or purchasewould you recommend? Why?

  1. Determine After-Tax Cash Outflows for Lease and Purchase

Lease

After-tax cash outflows = Annual Lease*(1- tax rate) = x/year for 5 years plus purchase option amount in year 5 (year 5 totals the annual loan payment plus the purchase option amount).

Purchase

After-tax Cash Outflows Purchase Table

Year

Loan Payment (1)

Maintenance (2)

Depreciation (3)

Interest at x% (4)

Total Deductions (2 + 3 + 4) (5)

Tax Shields [(Tax rate) (5)] (6)

After-Tax Cash Outflows [(1 + 2) - (6)] (7)

1

2

3

4

5

  1. Present Value of Cash Outflows Analysis
Present Value of Cash Outflows Analysis Table

End of Year

Lease After-Tax Cash Outflows

Purchase After-Tax Cash Outflows

1

2

3

4

5

Present value of cash outflows at x% discount rate

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