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1、chapter 10chapter 10making capital making capital investment decisionsinvestment decisions10/21/2021chapter outline project cash flows: a first look incremental cash flows pro forma financial statements and project cash flows more about project cash flow alternative definitions of operating cash flo
2、w some special cases of discounted cash flow analysis10-210/21/2021relevant cash flows the cash flows that should be included in a capital budgeting analysis are those that will only occur (or not occur) if the project is accepted these cash flows are called incremental cash flows the stand-alone pr
3、inciple - analyze each project in isolation from the firm (on its own merits) by focusing on incremental cash flows10-310/21/2021asking the right question you should always ask yourself “will this cash flow occur only if we accept the project?” if the answer is “yes,” it should be included in the an
4、alysis because it is incremental if the answer is “part of it,” then we should include the part that occurs because of the project if the answer is “no,” it should not be included in the analysis because it will occur anyway10-410/21/2021common types of cash flows sunk costs costs that have accrued
5、in the past opportunity costs costs of lost options side effects positive side effects benefits to other projects negative side effects costs to other projects changes in net working capital taxes (use after-tax cash flows) do not consider financing costs (part of r)10-510/21/2021pro forma statement
6、s and cash flow capital budgeting relies heavily on pro forma accounting statements, particularly income statements computing cash flows: operating cash flow (ocf) = ebit + depreciation taxes ocf = net income + depreciation (when there is no interest expense) cash flow from assets (cffa) = ocf net c
7、apital spending (ncs) changes in nwc10-610/21/2021table 10.1 (p. 310) pro forma income statementsales (50,000 units at $4.00/unit)variable costs ($2.50/unit)gross profitfixed costsdepreciation ($90,000 / 3)ebittaxes (34%)net income$200,000125,000$ 75,00012,00030,000$ 33,00011,220$ 21,78010-710/21/20
8、21table 10.2 projected capital requirements (balance sheet)nwcnfatotalyear0$20,000 90,000$110,0001$20,000 60,000$80,0002$20,000 30,000$50,0003$20,000 0$20,00010-810/21/202110/21/2021capital spending at the time of project inception (i.e., the “initial outlay”) includes the following items:+ purchase
9、 price of the new asset- selling price of the asset replaced (if applicable)+ costs of site preparation, setup, and startup+/- increase (decrease) in tax liability due to sale of old asset at other than book value= net capital spendingtable 10.5 (p. 311) projected total cash flowsocfchange in nwcncs
10、cffayear0-$20,000-$90,000-$110,001$51,780 $51,7802$51,780$51,7803$51,78020,000$71,78010-1010/21/2021making the decision now that we have the cash flows, we can apply the techniques that we learned in chapter 9 use formulas for pv of discounted cash flows should we accept or reject the project?10-111
11、0/21/2021more on nwc why do we have to consider changes in nwc separately? gaap requires that sales be recorded on the income statement when made, not when cash is received gaap also requires that we record cost of goods sold when the corresponding sales are made, whether we have actually paid our s
12、uppliers yet finally, we have to buy inventory to support sales, although we havent collected cash yet10-1210/21/2021depreciation the depreciation expense used for capital budgeting should be the depreciation schedule required by the irs for tax purposes depreciation itself is a non-cash expense; co
13、nsequently, it is only relevant because it affects taxes depreciation tax shield = dt d = depreciation expense t = marginal tax rate10-1310/21/2021computing depreciation straight-line depreciation d = (initial cost salvage) / number of years very few assets are depreciated straight-line for tax purp
14、oses macrs (modified accelerated cost recovery system) p. 316 need to know which asset class is appropriate for tax purposes multiply percentage given in table by the initial cost depreciate to zero mid-year convention10-1410/21/2021after-tax salvage after-tax salvage is the capital recovery cash fl
15、ow at project end. if the salvage value is different from the book value of the asset, then there is a tax effect book value = initial cost accumulated depreciation after-tax salvage = salvage tax*(salvage book value)10-1510/21/2021example: depreciation and after-tax salvage you purchase equipment f
16、or $100,000, and it costs $10,000 to have it delivered and installed. (what is the capex?) based on past information, you believe that you can sell the equipment for $17,000 when you are done with it in 6 years. the companys marginal tax rate is 40%. what is the depreciation expense each year and th
17、e after-tax salvage in year 6 for each of the following situations?10-1610/21/2021example: straight-line suppose the appropriate depreciation schedule is straight-line d = (110,000 17,000) / 6 = 15,500 every year for 6 years bv in year 6 = 110,000 6(15,500) = 17,000 after-tax salvage = 17,000 - .4(1
18、7,000 17,000) = 17,00010-1710/21/2021example: three-year macrs p. 316yearmacrs percentd1.3333.3333(110,000) = 36,6632.4445.4445(110,000) = 48,8953.1481.1481(110,000) = 16,2914.0741.0741(110,000) = 8,151bv in year 6 = 110,000 36,663 48,895 16,291 8,151 = 0after-tax salvage = 17,000 - .4(17,000 0) = $
19、10,20010-1810/21/2021example: seven-year macrsyearmacrs percentd1.1429.1429(110,000) = 15,7192.2449.2449(110,000) = 26,9393.1749.1749(110,000) = 19,2394.1249.1249(110,000) = 13,7395.0893.0893(110,000) = 9,8236.0892.0892(110,000) = 9,812bv in year 6 = 110,000 15,719 26,939 19,239 13,739 9,823 9,812 =
20、 14,729after-tax salvage = 17,000 .4(17,000 14,729) = 16,091.6010-1910/21/2021example: replacement problem original machine initial cost = 100,000 annual depreciation = 9,000 purchased 5 years ago book value = 55,000 salvage today = 65,000 salvage in 5 years = 10,000new machine initial cost = 150,00
21、0 5-year life salvage in 5 years = 0 cost savings = 50,000 per year 3-year macrs depreciationrequired return = 10%tax rate = 40%10-2010/21/2021replacement problem computing cash flows remember that we are interested in incremental cash flows if we buy the new machine, then we will sell the old machi
22、ne what are the cash flow consequences of selling the old machine today instead of in 5 years?10-2110/21/2021replacement problem pro forma income statementsyearcost savingsdepr. new oldincrem.ebittaxesni150,00049,9959,00040,9959,0053,6025,403250,00066,6759,00057,675(7,675)(3,070)(4,605)350,00022,215
23、9,00013,21536,78514,71422,071450,00011,1159,0002,11547,88519,15428,731550,00009,000(9,000)59,00023,60035,40010-2210/21/2021replacement problem incremental net capital spending year 0 cost of new machine = 150,000 (outflow) after-tax salvage on old machine = 65,000 - .4(65,000 55,000) = 61,000 (inflo
24、w) incremental net capital spending = 150,000 61,000 = 89,000 (outflow) year 5 after-tax salvage on old machine = -10,000 (outflow because we no longer receive this)10-2310/21/2021replacement problem cash flow from assetsyearocfncs in nwccffa0-89,0000-89,000146,39846,398253,07053,070335,28635,286430
25、,84630,846526,400-10,000016,40010-2410/21/2021replacement problem analyzing the cash flows now that we have the cash flows, we can compute the npv and irr enter the cash flows compute npv = 54,801.74 compute irr = 36.28% should the company replace the equipment?10-2510/21/2021other methods for compu
26、ting ocf bottom-up approach works only when there is no interest expense ocf = ni + depreciation top-down approach ocf = sales cash costs taxes dont subtract non-cash deductions tax shield approach ocf = (sales costs)(1 t) + depreciation*t10-2610/21/2021example: cost cutting your company is consider
27、ing a new computer system that will initially cost $1 million. the system is expected to last for five years and will be depreciated using 3-year macrs. the system is expected to have a salvage value of $50,000 at the end of year 5. it will save $300,000 per year in inventory and receivables managem
28、ent costs. there is no impact on net working capital. the marginal tax rate is 40%. the required return is 8%. click on the excel icon to work through the example10-2710/21/2021example: setting the bid price consider the following information: army has requested bid for multiple use digitizing devic
29、es (mudds) deliver 4 units each year for the next 3 years labor and materials estimated to be $10,000 per unit production space leased for $12,000 per year requires $50,000 in fixed assets with expected salvage of $10,000 at the end of the project (depreciate straight-line) require initial $10,000 i
30、ncrease in nwc tax rate = 34% required return = 15%10-2810/21/2021example: equivalent annual cost analysis burnout batteries initial cost = $36 each 3-year life $100 per year to keep charged expected salvage = $5 straight-line depreciation long-lasting batteries initial cost = $60 each 5-year life $88 per year to keep charged expected salvage = $5 straight-line depreciationthe machine chosen will be replaced indefinitely and neither machine will have a differential impact on revenue. no change in nwc is required.the required return is 15%, an
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