Problem 18-6 Please I am asking you very kindly to help me with this problem. Yo
ID: 2696244 • Letter: P
Question
Problem 18-6
Please I am asking you very kindly to help me with this problem. You do not have to use the build in model for excel; I am having a difficult time calculating this problem. Please help me.
As part of its overall plant modernization and cost reduction program, Western Fabric's management has decided to install a new automated weaving loom. In the capital budgeting analysis of this equipment, the IRR of the project was found to be 20% versus the project's required return of 12%. The loom has an invoice price of $250,000, including delivery and installation charges. The funds needed could be borrowed from the bank through a 4-year amortized loan at 10% interest rate, with payment to be made at the end of the year. In the event the loom is purchased, the manufacturer will contract to maintain and service it for a fee of $20,000 per year paid at the end of each year. The loom falls in the MACRS 5-year class, and Western marginal federal -plus-state tax rate is 40%.
Aubrey Automation Inc., maker of loom, has offered to lease the loom to Western for $70,000 upon delivery and installation (at t=0) plus four additional annual lease payments of $70,000 to be made at the year of 1 to 4. (Note: that there are five lease payments in
total.) The lease agreement include maintenance and servicing. Actually, the loom has an expected life of 8 years, at which time its expected salvage value is zero; however, after 4 years ist market value is expected to equal its book value of $42,500. Western plans to build an entirely new plant in 4 years, so it has no interest in either leasing or owing the proposed loom for more than that period.
A. Shuold the loom be leased or purchased?
B. The salvage value is clearly the most uncertain cash flow in the analysis. What effect would a salvage value risk adjustment have
and the analysis? (Assume that the appropriate salvage value pre-tax discount rate is 15%).
C. Assuming that the after-tax cost of debt should be used to discount all anticipated cash flows, at what lease payment would the
firm be indifferent to either leasing or buying?
Thank you
Explanation / Answer
First, we want to lay out all of the input data in the problem. INPUT DATA Invoice Price $250,000 Length of loan 4 Loan Interest rate 10% Maintenance fee $20,000 Tax Rate 40% Lease fee $70,000 Equipment expected life 8 Expected salvage value $0 Market value after 4 years $42,500 Book value after 4 years $42,500 First, we can determine the annual loan payment that must be made on the new equipment. We will do so using the function wizard for PMT. Annual loan payment = ($78,868) Year 1 2 3 4 Beginning loan balance $250,000 $196,132 $136,877 $71,698 Interest payment $25,000 $19,613 $13,688 $7,170 Principal payment $53,868 $59,255 $65,180 $71,698 Ending loan balance $196,132 $136,877 $71,698 $0 Now, we see that the decision being made is whether to purchase the equipment at a net cost of $250,000 (with annual payments of $78,868) or lease the equipment and make annual payments of $70,000. To make this decision, we must analyze the incremental cash flows. Before proceeding with our NPV analysis we must determine the schedule of depreciation charges for this new equipment. MACRS 5-year Depreciation Schedule Year 1 2 3 4 5 6 Depr. Rate 20% 32% 19% 12% 11% 6% Depr. Exp. $50,000 $80,000 $47,500 $30,000 $27,500 $15,000 We can now construct our table of incremental cash flows from these two alternatives. Remember, that the appropriate discount rate in this scenario is the after tax cost of borrowing, or: 10%*(1-40%) = 6%. NPV LEASE ANALYSIS OF INCREMENTAL CASH FLOWS Year = 0 1 2 3 4 Cost of ownership Purchase cost ($250,000) Loan proceeds $250,000 After-tax interest payment ($9,000) ($9,000) ($9,000) ($259,000) Principal payment ($250,000) Maintenance cost ($20,000) ($20,000) ($20,000) Tax savings from maintenance cost 8000 8000 8000 Tax savings from depreciation $3,000 $4,800 $2,850 $1,800 Salvage value $0 Net cash flow from ownership $0 ($1,000) ($16,200) ($18,150) ($509,000) PV cost of ownership $70,916 Cost of leasing Lease payment ($70,000) ($70,000) ($70,000) ($70,000) Tax savings from lease payment $28,000 $28,000 $28,000 $28,000 Net cash flow from leasing ($42,000) ($42,000) ($42,000) ($42,000) $0 PV cost of leasing $150,155 Cost Comparison PV ownership cost @ 6% $70,916 PV of leasing @ 6% $150,155 Net Advantage to Leasing $79,239 Our NPV Analysis has told us that there is a negative advantage to leasing. We interpret that as an indication that the firm should forego the opportunity to lease and buy the new equipment. b. The salvage value is clearly the most uncertain cash flow in the analysis. Assume that the appropriate salvage value pre-tax discount rate is 15 percent. What would be the effect of a salvage value risk adjustment on the decision? All cash flows would remain unchanged except that of the salvage value. Our new array of cash flows would resemble the following: Standard discount rate 10% Salvage value rate 15% Year = 0 1 2 3 4 4 Net cash flow $0 ($1,000) ($16,200) ($18,150) ($509,000) $0 PV of net cash flows $0 $909 $13,388 $13,636 $347,653 NPV of ownership New Cost Comparison PV ownership cost @ 6% PV of leasing @ 6% Net Advantage to Leasing Under this new assumption of using a greater discount factor for the salvage value, we find that the firm should lease, and not buy, the equipment. c. Assuming that the after-tax cost of debt should be used to discount all anticipated cash flows, at what lease payment would the firm be indifferent to either leasing or buying? We will use the Goal Seek function to determine the lease payment that makes the Net Advantage to Leasing zero. Crossover =