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CHAPTER 10 The Basics of Capital Budgeting,Should we build this plant?,What is capital budgeting?,所謂資本預(yù)算,是指公司從事固定資產(chǎn)如土地、廠房等長期投資,使公司能在未檢獲取一連串預(yù)期收益的活動稱為資本預(yù)算 Analysis of potential additions to fixed assets. Long-term decisions; involve large expenditures. Very important to firms future.,Steps to capital budgeting,Estimate CFs (inflows & outflows). Assess riskiness of CFs. Determine the appropriate cost of capital. Find NPV and/or IRR. Accept if NPV 0 and/or IRR WACC.,What is the difference between independent and mutually exclusive projects?,Independent projects(獨立計劃) if the cash flows of one are unaffected by the acceptance of the other.(即某一個計劃的接受或拒絕與另一個計劃的接受或拒絕是獨立的) Mutually exclusive projects (互斥計劃) if the cash flows of one can be adversely impacted by the acceptance of the other.(若A與B為互斥計劃,是指可以接受A或接受B,或兩者都拒絕,但不可兩者皆接受),What is the difference between normal and nonnormal cash flow streams?,Normal cash flow stream(正常投資計劃) Cost (negative CF) followed by a series of positive cash inflows. One change of signs.(指第一筆現(xiàn)金流量為負(fù),往後現(xiàn)金流量為正) Nonnormal cash flow stream (不正常投資計劃) Two or more changes of signs. Most common: Cost (negative CF), then string of positive CFs, then cost to close project. Nuclear power plant, strip mine, etc.(第一筆現(xiàn)金流量為負(fù),但往後現(xiàn)金流量有正有負(fù)),Several valuation methods of capital budget,Payback period method(還本期間法) Discounted payback period method Net present value Internal Rate of Return Modified IRR;MIRR,What is the payback period?,The number of years required to recover a projects cost, or “How long does it take to get our money back?” Calculated by adding projects cash inflows to its cost until the cumulative cash flow for the project turns positive.,Calculating payback,Strengths and weaknesses of payback,Strengths Provides an indication of a projects risk and liquidity. Easy to calculate and understand. Weaknesses Ignores the time value of money. Ignores CFs occurring after the payback period.,Discounted payback period,Uses discounted cash flows rather than raw CFs.(即引進(jìn)折現(xiàn)觀念至還本期間法),Strengths and weaknesses of discounted payback method,Strengths Provides an indication of a projects risk and liquidity. Easy to calculate and understand. Consider the discount of the cash flow Weaknesses Ignores CFs occurring after the payback period.,Net Present Value (NPV),Sum of the PVs of all cash inflows and outflows of a project:,What is Project Ls NPV?,Year CFt PV of CFt 0 -100 -$100 1 10 9.09 2 60 49.59 3 80 60.11 NPVL = $18.79 NPVS = $19.98,Solving for NPV: Financial calculator solution,Enter CFs into the calculators CFLO register. CF0 = -100 CF1 = 10 CF2 = 60 CF3 = 80 Enter I/YR = 10, press NPV button to get NPVL = $18.78.,Rationale for the NPV method,NPV = PV of inflows Cost = Net gain in wealth If projects are independent, accept if the project NPV 0. If projects are mutually exclusive, accept projects with the highest positive NPV, those that add the most value. In this example, would accept S if mutually exclusive (NPVs NPVL), and would accept both if independent.,Strengths and weaknesses of NPV,Strengths Consider the entire cash flow of the project. Can choose only one project from all projects Weaknesses It is difficult to determine the “discount rate”,Internal Rate of Return (IRR),IRR is the discount rate that forces PV of inflows equal to cost, and the NPV = 0: 即使得現(xiàn)金流入量的現(xiàn)值剛好等於現(xiàn)金流出量的現(xiàn)值的折現(xiàn)率,How is a projects IRR similar to a bonds YTM?,They are the same thing. Think of a bond as a project. The YTM on the bond would be the IRR of the “bond” project. EXAMPLE: Suppose a 10-year bond with a 9% annual coupon sells for $1,134.20. Solve for IRR = YTM = 7.08%, the annual return for this project/bond.,Rationale for the IRR method,If IRR WACC, the projects rate of return is greater than its costs. There is some return left over to boost stockholders returns.,IRR Acceptance Criteria,If IRR k, accept project. If IRR k = 10%. If projects are mutually exclusive, accept S, because IRRs IRRL.,NPV Profiles,A graphical representation of project NPVs at various different costs of capital. k NPVL NPVS 0 $50 $40 5 33 29 10 19 20 15 7 12 20 (4) 5,Drawing NPV profiles,-10,0,10,20,30,40,50,60,5,10,15,20,23.6,NPV ($),Discount Rate (%),IRRL = 18.1%,IRRS = 23.6%,Crossover Point = 8.7%,S,L,.,.,.,.,.,.,.,.,.,.,.,衝突區(qū),不衝突區(qū),Comparing the NPV and IRR methods,If projects are independent, the two methods always lead to the same accept/reject decisions. If projects are mutually exclusive If k crossover point(不衝突區(qū)), the two methods lead to the same decision and there is no conflict. If k crossover point(衝突區(qū)), the two methods lead to different accept/reject decisions.,Finding the crossover point,Find cash flow differences between the projects for each year. Enter these differences in CFLO register, then press IRR. Crossover rate = 8.68%, rounded to 8.7%. Can subtract S from L or vice versa, but better to have first CF negative. If profiles dont cross, one project dominates the other.,Reasons why NPV profiles cross,Size (scale) differences (規(guī)模大小的差異) the smaller project frees up funds at t = 0 for investment. The higher the opportunity cost, the more valuable these funds, so high k favors small projects. Timing differences the project with faster payback provides more CF in early years for reinvestment. If k is high, early CF especially good, NPVS NPVL.,Reinvestment rate assumptions,NPV method assumes CFs are reinvested at k, the opportunity cost of capital. IRR method assumes CFs are reinvested at IRR. Assuming CFs are reinvested at the opportunity cost of capital is more realistic, so NPV method is the best. NPV method should be used to choose between mutually exclusive projects. Perhaps a hybrid of the IRR that assumes cost of capital reinvestment is needed.,淨(jìng)現(xiàn)值法對再投資假設(shè)為,公司將投資計劃所產(chǎn)生的現(xiàn)金流量再投資後,所能得到的報酬率等於資金成本。 而IRR則認(rèn)為所能得到的報酬率為可達(dá)目前的內(nèi)部報酬率。,對一個追求價值最大化的公司,管理當(dāng)局應(yīng)已接受所有NPV大於零的投資計劃,換言之,所餘者其報酬率應(yīng)該僅接近資金成本才對,所以管理當(dāng)局進(jìn)行再投資時,其報酬率應(yīng)該等於資金成本。,Since managers prefer the IRR to the NPV method, is there a better IRR measure?,Yes, MIRR is the discount rate that causes the PV of a projects terminal value (TV) to equal the PV of costs. TV is found by compounding inflows at WACC. MIRR assumes cash flows are reinvested at the WACC.,Calculating MIRR,Why use MIRR versus IRR?,MIRR correctly assumes reinvestment at opportunity cost = WACC. MIRR also avoids the problem of

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