3What is capital budgeting? Analysis of potential projects.Long-term decisions; involve large expenditures.
4Steps in Capital Budgeting Estimate cash flows (inflows & outflows).Determine r = WACC for project.Evaluate
5Capital Budgeting Project Categories Replacement to continue profitable operationsReplacement to reduce costsExpansion of existing products or marketsExpansion into new products/marketsContraction decisionsSafety and/or environmental projectsMergersOther
6Independent versus Mutually Exclusive Projects Projects are:independent, if the cash flows of one are unaffected by the acceptance of the other.mutually exclusive, if the cash flows of one can be adversely impacted by the acceptance of the other.
7Net present value (NPV) rule FI Corporate Finance leng LingNet present value (NPV) ruleAccept project ifNet present value > 0What is Net present value?Net present value= Benefits minus Costs
8How do we measure benefits & costs? NPV = B – C =
9NPV: Sum of the PVs of All Cash Flows Cost often is CF0 and is negative.NPV =ΣNt = 0CFt(1 + r)tt = 1– CF0
10Cash Flows for Franchises L and S 10806012310%L’s CFs:702050S’s CFs:
12Calculator Solution: Enter Values in CF Register for L -100106080CF0CF1NPVCF2CF3I= = NPVL
13Rationale for the NPV Method NPV = PV inflows – CostThis is net gain in wealth, so accept project if NPV > 0.Choose between mutually exclusive projects on basis of higher positive NPV. Adds most value.
14Using NPV method, which franchise(s) should be accepted? If Franchises S and L are mutually exclusive, accept S because NPVs > NPVL.If S & L are independent, accept both; NPV > 0.NPV is dependent on cost of capital.
15Internal Rate of Return: IRR 123CF0CF1CF2CF3CostInflowsIRR is the discount rate that forcesPV inflows = cost. This is the sameas forcing NPV = 0.
19Rationale for the IRR Method If IRR > WACC, then the project’s rate of return is greater than its cost-- some return is left over to boost stockholders’ returns.Example:WACC = 10%, IRR = 15%.So this project adds extra return to shareholders.
20Decisions on Franchises S and L per IRR If S and L are independent, accept both: IRRS > r and IRRL > r.If S and L are mutually exclusive, accept S because IRRS > IRRL.IRR is not dependent on the cost of capital used.
21NPV and IRR: No conflict for independent projects. r > IRRand NPV < 0.Reject.NPV ($)r (%)IRRIRR > rand NPV > 0Accept.
22Reinvestment Rate Assumptions NPV assumes reinvest at r (opportunity cost of capital).IRR assumes reinvest at IRR.Reinvest at opportunity cost, r, is more realistic, so NPV method is best. NPV should be used to choose between mutually exclusive projects.
23Modified Internal Rate of Return (MIRR) MIRR is the discount rate that causes the PV of a project’s terminal value (TV) to equal the PV of costs.TV is found by compounding all inflows at WACC.Thus, MIRR assumes cash inflows are reinvested at WACC.
24MIRR for Franchise L: First, Find PV and TV (r = 10%) 10.080.060.012310%66.012.1158.1-100.0TV inflowsPV outflows
25Second, Find Discount Rate that Equates PV and TV MIRR = 16.5%158.1123-100.0TV inflowsPV outflowsMIRRL = 16.5%$100 =$158.1(1+MIRRL)3
26BAII: Step 1, Find PV of Inflows First, enter cash inflows in CF register:CF0 = 0, CF1 = 10, CF2 = 60, CF3 = 80Second, enter I = 10.Third, find PV of inflows:Press NPV =
27Step 2, Find TV of InflowsEnter PV = , N = 3, I/YR = 10, PMT = 0.Press FV = = FV of inflows.
28Step 3, Find PV of Outflows For this problem, there is only one outflow, CF0 = -100, so the PV of outflows is -100.For other problems there may be negative cash flows for several years, and you must find the present value for all negative cash flows.
29Step 4, Find “IRR” of TV of Inflows and PV of Outflows Enter FV = , PV = -100, PMT = 0, N = 3.Press I/YR = 16.50% = MIRR.
30Why use MIRR versus IRR?MIRR correctly assumes reinvestment at opportunity cost = WACC. MIRR also avoids the problem of multiple IRRs.Managers like rate of return comparisons, and MIRR is better for this than IRR.
31FI 3300 - Corporate Finance leng Ling Apply NPV, IRRAssume a discount rate of 11%. Compute the NPV, IRR and decide whether the project should be accepted or rejected.ProjectC0C1C2C3C4C5T=0T=1T=2T=3T=4T=5A-1000400500Verify that NPV = , IRR = 31.79%,Since NPV>0, IRR>11%, accept the project
32Conceptual problem: NPV and IRR FI Corporate Finance leng LingConceptual problem: NPV and IRRConsider a project with an initial outflow at time 0 and positive cash flows in all subsequent years. As the discount rate is decreased the _____________.IRR remains constant while the NPV increases.IRR decreases while the NPV remains constant.IRR increases while the NPV remains constant.IRR remains constant while the NPV decreases.IRR decreases while the NPV decreases.
33Computational problem: NPV and IRR FI Corporate Finance leng LingComputational problem: NPV and IRRYou are attempting to reconstruct a project analysis of a co-worker who was fired. You have found the following information:The IRR is 12%.The project life is 4 years.The initial cost is $20,000.In years 1, 3 and 4 you will receive cash inflows of $6,000.You know there will be a cash flow in year 2, but the amount is not in the file.The appropriate discount rate is 10%.What is the NPV of the project?
34Condition 1: Cash inflows occur before cash outflows Thus far, we have considered projects with normal cash flows, (i.e., a single cash outflow in year 0 followed by cash inflows in all future years).With normal cash flows, IRR works fine.However, if you have cash inflow first, followed by cash outflow, then IRR will be negative.Result: You cannot use IRR to make the accept/reject decision.Use NPV to get the correct decision.
35Condition 2: Cash flows change signs more than once FI Corporate Finance leng LingCondition 2: Cash flows change signs more than onceConsider the following project cash flows: t = 0, -$400, t = 1, $2,500, t = 2, -$3,000. Suppose that the company’s cost of capital is 70 percent.NPV = $ The project is, acceptable.There are two IRR’s for this project: 61.98%, 363%. Look at the NPV profile (next slide).When there are multiple IRRs, the IRR method loses meaning and is NOT appropriate.However, the NPV method still gives the correct accept/reject decision.Using the BA II Plus, students will get the first IRR = 61.98%, but this is misleading.
36What is the payback period? The number of years required to recover a project’s cost,or how long does it take to get the business’s money back?
37Payback for Franchise L 108060123-100=CFtCumulative-90-3050PaybackL2 + $30/$80 = years2.4
38Payback for Franchise S 702050123-100CFtCumulative-3040PaybackS1 + $30/$50 = years1.6=
39Applying the PBP criterion FI Corporate Finance leng LingApplying the PBP criterionCompute the payback periods for the following two projects.ProjectC0C1C2C3C4C5A-900020003000400050006000B-11000Verify that PBP for A = 3 years, PBP for B = 3.4 years (assume cash flows occur evenly throughout the year)
40FI 3300 - Corporate Finance leng Ling NPV + PBP ProblemBantam Industries is considering a project which has the following cash flows:Year Cash flow?$2,000$3,000$3,000$1,500The project has a payback period of 2 years. The firm's cost of capital is 12%.What is the project's net present value?Verify that NPV = 2,265.91
41Strengths and Weaknesses of Payback Provides an indication of a project’s risk.Easy to calculate and understand.Weaknesses:Ignores the TVM.Ignores CFs occurring after the payback period.
42PBP does not consider cash flows after the critical number FI Corporate Finance leng LingPBP does not consider cash flows after the critical numberA firm uses two years as the critical number for the payback period.This firm is faced with two projects whose cash flows are:ProjectC0C1C2C3A-100050051010B99,000,000According to the payback rule, project A will be accepted and B will be rejected.But, if you consider all cash flows, including those after 2 years, then project B is more attractive.
43Discounted Payback: Uses Discounted CFs 108060123CFtCumulative-100-90.91-41.3218.79Discountedpayback2 + $41.32/$ = 2.7 yrsPVCFt10%9.0949.5960.11=Recover investment + capital costs in 2.7 yrs.
44Example of discounted payback period criterion FI Corporate Finance leng LingExample of discounted payback period criterionExample: Suppose that the discount rate is 10 percent. Project A has the following cash flows and discounted cash flows. Find A’s discounted PBP.Project AC0C1C2C3Cash flow-9000300060009000Discounted cash flow272749596762Verify that discounted payback period = years
45Normal vs. Nonnormal Cash Flows Normal Cash Flow Project:Cost (negative CF) followed by a series of positive cash inflows.One change of signs.Nonnormal Cash Flow Project:Two or more changes of signs.Most common: Cost (negative CF), then string of positive CFs, then cost to close project.For example, nuclear power plant or strip mine.
46When There are Nonnormal CFs and More than One IRR, Use MIRR 12-800,0005,000,000-5,000,000PV 10% = -4,932,TV 10% = 5,500,MIRR = 5.6%
47If the two projects have different lifespan, then…
48S and L are Mutually Exclusive, r = 10% 1234S: -100L: -1006033.5Note: CFs shown in $ Thousands
49NPVL > NPVS, but is L better? CF0-100CF16033.5NJ24I/YR10NPV4.1326.190
50Method 1:mPut Projects on Common Basis Note that Franchise S could be repeated after 2 years to generate additional profits.Use replacement chain to put on common life.
51Replacement Chain Approach (000s) Franchise S with Replication NPV = $7.547.1234S:60-100-40
52FI 3300 - Corporate Finance Leng Ling Method 2:Equivalent annual series (EAS) or Equivalent Annual Annuity (EAA)When projects are mutually exclusive but have unequal livesWe construct the equivalent annual series (EAS) of each project andWe choose the project with the highest EASA project’s EAS is the payment on an annuity whose life is the same as that of the project and whose present value, using the discount rate of the project, is equal to the project’s NPV.
53Equivalent Annual Annuity Approach (EAA) Convert the PV into a stream of annuity payments with the same PV.S: N=2, I/YR=10, PV=-4.132, FV = 0. Solve for PMT = EAAS = $2.38.L: N=4, I/YR=10, PV=-6.190, FV = 0. Solve for PMT = EAAL = $1.95.S has higher EAA, so it is a better project.
54FI 3300 - Corporate Finance Leng Ling Calculating EASConsider Projects J & K, with the following cash flows. The discount rate is 10%.ProjectC0C1C2C3C4J-120006000K-180007000
55FI 3300 - Corporate Finance Leng Ling EAS for Project JTo compute Project J’s EAS, do the following:Compute Project J’s NPVVerify that NPV(J) = $2,921.11Find the payment on the 3-year (life of project J) annuity whose PV is equal to $2,Enter the following values:N=3, I/Y=10, PV= , FV=0, Then CPT, PMT.PMT = 1,174.62, which is Project J’s EAS.So, finding EAS is nothing more than finding the payment of an annuity.
56EAS for Project K Verify that Project K’s NPV= $4,189.06 Find the payment on the 4-year (life of project K) annuity whose PV is equal to $ 4,Enter the following values:N=4, I/Y=10, PV=- 4,189.06, FV=0, Then CPT, PMT.PMT = 1,321.53, which is Project K’s EAS.Recall that Project J’s EAS=So, choose Project K since it has the higher EAS.
57Another application of EAA We can use the EAA concept to choose between two machines that do the same job but have different costs and lives.Consider the following problem.
58FI 3300 - Corporate Finance Leng Ling ProblemSuppose that your firm is trying to decide between two machines, that will do the same job. Machine A costs $90,000, will last for ten years and will require operating costs of $5,000 per year. At the end of ten years it will be scrapped for $10,000. Machine B costs $60,000, will last for seven years and will require operating costs of $6,000 per year. At the end of seven years it will be scrapped for $5,000. Which is a better machine? (discount rate is 10 percent)
59Step 1: compute the PV of the costs of each machine FI Corporate Finance Leng LingStep 1: compute the PV of the costs of each machinePV of costs (A)= $90,000 + PV of $5,000 annuity for ten years - PV of the scrap (at t = 10) value of $10,000= – = $116,867.41PV of costs (B)= $60,000 + PV of $6,000 annuity for seven years - PV of the scrap (at t = 7) value of $5,000= $60,000 + $29, $2, =$86,644.72
60Step 2: compute equivalent annual cost (EAC) series of each machine FI Corporate Finance Leng LingStep 2: compute equivalent annual cost (EAC) series of each machineThe equivalent annual cost series is the payment of an annuity that has the same present value as the PV of the machine’s cost.EAC of machine A, EAC(A):N = 10, I/Y = 10, PV = , FV = 0. Then CPT, PMT. This yields EAC(A) = $19,EAC of machine B, EAC(B):N = 7, I/Y = 10, PV = , FV = 0. Then CPT, PMT. This yields EAC(B) = $17,Choose machine B because it has the lower cost.