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Capital Budgeting Integrative Case Analysis: Lasting Impressions
Dr. C. Bulent Aybar Professor of International Finance
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Capital Budgeting Process
Proposal Generation Review & Analysis Decision Making Implementation and Follow-up is the formal process of assessing the appropriateness and economic viability of the project in light of the firm’s overall objectives. This is done by estimating cash flows arising from the project and evaluating them through capital budgeting techniques. Risk factors are also incorporated into the analysis phase. Decision making is the step where the proposal is compared against predetermined criteria and either accepted or rejected. Implementation of the project begins after the project has been accepted and funding is made available. Follow-up is the post-implementation audit of expected and actual costs and revenues generated from the project to determine if the return on the proposal meets pre-implementation projections Proposal Generation is the origination of proposed capital projects for the firm by individuals at various levels of the organization.
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Integrative Capital Budgeting Case
Lasting Impressions (LI) Company is a medium- sized commercial printer of promotional advertising brochures, booklets, and other direct- mail pieces. The firms' major clients are ad agencies based in New York and Chicago. The typical job is characterized by high quality and production runs of more than 50,000 units. LI has not been able to compete effectively with larger printers because of its existing older, inefficient presses. The firm is currently having problems in meeting demand cost effectively and quality requirements of the industry. The general manager has proposed the purchase of one of two large, six- color presses designed for long, high- quality runs. The purchase of a new press would enable LI to reduce its cost of labor and therefore the price to the client, putting the firm in a more competitive position.
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Existing Equipment (Old Equipment)
Old press Originally purchased 3 years ago at an installed cost of $ 400,000, it is being depreciated under MACRS using a 5- year recovery period. The old press has a remaining economic life of 5 years. It can be sold today to net $ 420,000 before taxes; if it is retained, it can be sold to net $ 150,000 before taxes at the end of 5 years. 5 Year MACRS – 20% 32% 19% 12% 12% 5%
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Alternative-1: Press-A
This highly automated press can be purchased for $ 830,000 and will require $ 40,000 in installation costs. It will be depreciated under MACRS using a 5- year recovery period. At the end of the 5 years, the machine could be sold to net $ 400,000 before taxes. If this machine is acquired, it is anticipated that the following current asset changes would result: Cash $25,400 A/R $120,000 Inventories ($20,000) A/P $35,000
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Alternative-2: Press-B
This press is not as sophisticated as press A. It costs $640,000 and requires $20,000 in installation costs. It will be depreciated under MACRS using a 5- year recovery period. At the end of 5 years, it can be sold to net $ 330,000 before taxes. Acquisition of this press will have no effect on the firm’s net working capital investment.
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Earning Projections Before Depreciation Interest and Taxes
EBITDA Year Old Press Press A Press B 1 $120,000 $250,000 $210,000 2 $270,000 3 $300,000 4 $330,000 5 $370,000 The firm is subject to a 40% tax rate. The firm’s cost of capital, r, applicable to the proposed replacement is 14%.
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Tasks For each of the two proposed replacement presses, determine:
( 1) Initial investment. ( 2) Operating cash inflows ( 3) Terminal cash flow Using the data developed in part a, find and depict on a time line the relevant cash flow stream associated with each of the two proposed replacement presses, assuming that each is terminated at the end of 5 years. Using the data developed in part b, apply each of the following decision techniques: ( 1) Payback period (2) Discounted Payback Period (3) NPV (4) IRR (5) MIRR (6) Profitability Index Draw net present value profiles for the two replacement presses on the same set of axes, and discuss conflicting rankings of the two presses, if any, resulting from use of NPV and IRR decision techniques. Recommend which, if either, of the presses the firm should acquire if the firm has ( 1) unlimited funds ( 2) capital rationing. What is the impact on your recommendation of the fact that the operating cash inflows associated with press A are characterized as very risky in contrast to the low- risk operating cash inflows of press B?
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Initial Investment Outlay
Item Press A Press B Cost of Old Machine $400,000 Cost of New Machine $870,000 $660,000 Proceeds from Old Machine $420,000 Book Value of Old Machine $116,000 Gains from Sale $304,000 Tax Liability $121,600 NWC Investment $90,400 $0 Net Initial Outlay $662,000 $361,600 Book value of the old machine: 400,000-(80, ,000+76,000)=116,000 400,000x0.2=80,000 400,000 x0.32=128,000 400,000x0.19=76,000 Cumulative Depreciation=284,000
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Depreciation of The New and Old Equipment
MACR-5Yr Press A Press B Existing Press 1 20% $174,000 $132,000 $48,000 2 32% $278,400 $211,200 3 19% $165,300 $125,400 $20,000 4 12% $104,400 $79,200 $0 5 6 5% $43,500 $33,000
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Net Operating Cash Flows: Old Machine
Existing Machine 1 2 3 4 5 EBITDA 120000 Depreciation $48,000 $20,000 $0 EBT $72,000 $100,000 $120,000 Taxes $28,800 $40,000 Net Income $43,200 $60,000 NOCF $91,200 $80,000
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Net Operating Cash Flows: Press-A
1 2 3 4 5 EBITDA $250,000 $270,000 $300,000 $330,000 $370,000 Depreciation 174000 278400 165300 104400 EBT $76,000 -$8,400 $134,700 $225,600 $265,600 Taxes 30400 -3360 53880 90240 106240 Net Income $45,600 -$5,040 $80,820 $135,360 $159,360 NOCF $219,600 $273,360 $246,120 $239,760 $263,760
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Net Operating Cash Flows: Press-B
1 2 3 4 5 EBITDA $210,000 Depreciation 132000 211200 125400 79200 EBT $78,000 -$1,200 $84,600 $130,800 Taxes 31200 -480 33840 52320 Net Income $46,800 -$720 $50,760 $78,480 NOCF $178,800 $210,480 $176,160 $157,680
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Incremental Operating Cash Flows for Press A & B
IOCF=Incremental Operating Cash Flows Column1 1 2 3 4 5 Existing Machine $91,200 $80,000 $72,000 Press-A $219,600 $273,360 $246,120 $239,760 $263,760 Press-B $178,800 $210,480 $176,160 $157,680 Press A IOCF $128,400 $182,160 $166,120 $167,760 $191,760 Press B IOCF $87,600 $119,280 $96,160 $85,680
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Terminal Cash Flows Proceeds from Liquidation BV at Liquidation
Press A Press B Old Mach. Proceeds from Liquidation $400,000 $330,000 $150,000 BV at Liquidation $43,500 $33,000 $0 Profit from Sale $356,500 $297,000 Tax Liability $142,600 $118,800 $60,000 Net Proceeds from Sale $257,400 $211,200 $90,000 Recall NWC Investment $90,400 Net Terminal Cash Flows $347,800 Net Incremental TCF $257,800 $121,200 211,200-90,000=121,200 347,800-90,000=257,800
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Relevant Cash Flow for the Projects
Year Press A Press B -$662,000 -$361,600 1 $128,400 $87,600 2 $182,160 $119,280 3 $166,120 $96,160 4 $167,760 $85,680 5 $449,560 $206,880 Year 5 cash flows include terminal cash flows
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Cash Flows on a Time Line
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Pay Back Period Analysis
Cumulative Cash Flows PAYBACK PERIOD ANALYSIS Press A Press B 1 $128,400 $87,600 2 $310,560 $206,880 3 $476,680 $303,040 4 $644,440 $388,720 5 $1,094,000 $595,600 In calculation of the payback period, we consider only the operating cash flows for a given year. For instance, in this particular case we did not include terminal cash flows of the project in year 5 cash flows. Note that the cost for Press A (662,000) can be recovered only sometime between 4th and 5th year. The portion recovered in the 5th year is (662, ,440)/449,560= Therefore payback period for the Press A is 4 years Years or 4.04 years. The recovery for press B is faster as initial investment of 361,600 can be recovered in 3.68 years.
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Discounted Payback Period
Year Press A Press B Cumulative Cash Flows A Cumulative Cash Flows B (662,000) (361,600) 1 112,632 76,842 2 140,166 91,782 252,798 168,624 3 112,126 64,905 364,924 233,529 4 99,327 50,729 464,251 284,259 5 233,487 107,447 697,739 391,706 Discounted Payback Period 4.85 4.72 Discounted Payback period requires discounted value of each cash flow. Each cash flow is discounted to time 0 at the cost of capital, and payback period is calculated by using these discounted cash flows. In this particular case, method favors project “B” as in the standard Payback Period method.
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NPV Analysis NPVPress-A=35,738.82>NPVPress-B=30,105.88
Year Press A Press B -$662,000 -$361,600 1 $128,400 $87,600 2 $182,160 $119,280 3 $166,120 $96,160 4 $167,760 $85,680 5 $449,560 $206,880 NPVPress-A=35,738.82>NPVPress-B=30,105.88 Since both projects have 5 year life spans there is no need to consider Annualized NPV, but have we had done it, ANPV-A would have been higher than ANPV-B.
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IRR Project A’s IRR is 15.8, Project B’s IRR is 17.06.
Both projects have IRR above cost of Capital. If we used IRR to choose the projects, Press B would be favored by the IRR method. Note that IRR assumes that cash flows can be reinvested at the IRR. A consideration of reinvestment at cost of capital (MIRR) suggest that ranking does not change. MIRR-A=15% MIRR-B=16%
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Cost of Capital and NPV Cost of Capital NBV Press A NPV Presss B 0.11 $100,287 $63,653.89 0.12 $77,808 $51,988.82 0.13 $56,309 $40,814.89 0.14 $35,739 $30,105.88 0.15 $16,046 $19,837.23 0.16 -$2,816 $9,985.92 0.17 -$20,891 $530.34 0.18 -$38,221 -$8,549.78 0.19 -$54,843 -$17,273.48 As the above table shows, when cost of capital is approximately Below 15%, press A has higher NPV than Press B. But this changes when the cost of capital Increases to 15% and Beyond. This suggest a cross-over point between 14 and 15% (14.59) cost of capital.
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NPV and Cost of Capital Cross-over point=14.59% Project A Project B
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Profitability Index Profitability index reflects the benefit cost ratio of a project. It is the ratio of PV of project cash flows to the project cost. LI’s two projects have PIA=1.05 and PIB= While profitability index suggests that project B generates more value per dollar invested, the total value created by project A is higher.
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Impact of Capital Rationing on the Decision
In this case we are considering mutually exclusive projects. It does not make sense for the firm to implement both projects simultaneously. However, if had we considered projects that are not necessarily mutually exclusive, we could use two methods: IRR Method Rank Projects wrt their IRR, select the projects with IRRs exceeding cost of capital up to a point where the capital budget is consumed. If the last qualified project partially exceeds capital budget, drop that project as well. NPV Method Rank Projects wrt their NPV, select all the positive NPV projects in order until the capital budget is consumed
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Mutually Exclusive Projects and Capital Rationing
When investments are independent and decision is simply to adopt or abandon, decision rules like NPV, IRR and Profitability Index provide competent guidance. However when investments are mutually exclusive, the guidance provided by these decision rules should be carefully considered. One reason for possible conflicting recommendations is the insensitivity of PI and IRR to the scale of investment. This may lead to decisions that are not consistent with value maximization objective.
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Example Consider the two projects above with different initial outlays and cash flow structures. The company in question should choose one of these two service station projects. Which one should company adopt? Since these are mutually exclusive projects, it does not make sense to adopt both. NPV at 10% PI at 10% IRR Inexpensive Project 92,500 1.18 14% Expensive Project 98,200 1.09 12%
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Mutually Exclusive Projects and NPV
NPV at 10% PI at 10% IRR Inexpensive Project 92,500 1.18 14% Expensive Project 98,200 1.09 12% While the expensive project’s direct contribution to shareholder wealth is larger, inexpensive project earns higher return on each dollar invested, and has a higher return. The impressive performance of inexpensive project documented in PI and IRR obviously in conflict with the value maximization objective. What should company do? If company invests $1.1m it creates $7,700 more value! However, investing $522,000 makes $578,000 available. If the company had an opportunity to deploy this amount to create NPV in excess of $7,700 by taking same level of risk, inexpensive project would be viable. Otherwise, the firm should go for the expensive project. Scale insensitivity of PI and IRR confirms the use of NPV as appropriate figure or merit.
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Capital Rationing Under capital rationing, the company has a fixed investment budget that it may not exceed. Capital rationing requires us to rank investments rather than simply accept or reject them. In mutually exclusive alternatives, capital is available but, for technical reasons, the company cannot make all investments. Under capital rationing, it may be technically possible to make all investments, but there is limited capital. This has a fundamental impact on the ranking processes. When capital is constrained, the objective is to get best possible benefit per dollar.
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Example: Mutually Exclusive Projects
Investment A B C Initial Cost $ 5,500,000 $ 3,000,000 $ 2,000,000 Expected Life (yr) 10 $ ,000 $ ,000 $ ,000 15% 1.06 1.10 IRR 20% 30% 40% If the company can raise large amounts of money at an annual cost of 15%, and if the investments are mutually exclusive, which project should the company undertake? Answer: Undertake investment A because it has the highest NPV, and NPV is a direct measure of the increase in wealth from undertaking the investment
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Example: Capital Rationing
Investment A B C Initial Cost $ 5,500,000 $ 3,000,000 $ 2,000,000 Expected Life (yr) 10 $ ,000 $ ,000 $ ,000 15% 1.06 1.10 IRR 20% 30% 40% Considering only these three investments, if the company has a fixed capital budget of $5.5 million, and if the investments are independent of one another, which projects should the company undertake? If the capital budget is fixed at $5.5 million, invest in C and B, and put the remaining $500,000 in A if possible. This is the bundle of investments with the highest total NPV. One can select this bundle by ranking investments by their IRR, or occasionally more accurately by their PI (or Benefit Cost Ratio or BCR)
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