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1、Chapter 5Accrual Accounting and Accrual Accounting and Valuation:Pricing Book Valuation:Pricing Book Values-Values-Residual Earnings ModelResidual Earnings Model权责发生制与价值评估权责发生制与价值评估:账面价值定价账面价值定价-剩余收益模型剩余收益模型Chapter5 Chapter5 公司在进行交易时,价格并非是账面价值。资产负债表中的资产和负债有的是公允价值,有的是历史成本,还有一些则被从资产负债表中删除。这就导致分析家们忽略了从
2、资产负债表中删除的价值。分析家们会问:到底在账面价值的基础上增加多少才是固有的价值?每支股票在交易时基于账面价值的溢价到底是多少?本章提出的剩余收益模型解决了分析家们的困惑。Chapter5 Chapter5 结构结构P/BP/B 简单模型简单模型剩余收益模型剩余收益模型 复杂模型复杂模型 Equities Equities剩余收益模型的应用剩余收益模型的应用 Prijects Prijects Stategies Stategies剩余收益模型的优点、缺点剩余收益模型的优点、缺点剩余收益模型对投资者的提醒剩余收益模型对投资者的提醒总结总结 本章重要专业英文词汇本章重要专业英文词汇本章重要专业
3、英文词汇本章重要专业英文词汇residual earnings or residual income:剩余收益residual earnings model:剩余收益模型premium:溢价price-to-book ratio(P/B):市净率rate of return on common equity(ROCE):普通股本回报率terminal investment:终端投资going concern investment:持续投资withdrawl:撤回;提款forecast horizon:预测期间fiscal years:会计年度share issue:发行股票earnings p
4、er share(EPS):每股收益dividends per share(DPS):每股股利discounted cash flow method(DCF):现金流量折现法continuing value(CV):持续价值P/B ratioP/B ratio P/B P/B 公式:公式:P/BP/B与剩余收益、剩余收益模型的两个驱动因与剩余收益、剩余收益模型的两个驱动因素都有密切的联系。同时,提醒投资者:素都有密切的联系。同时,提醒投资者:Beware of paying too much for earnings!Beware of paying too much for earnings
5、!剩余收益模型剩余收益模型剩余收益模型剩余收益模型(简单简单简单简单)1.什么是剩余收益?定义:Residual earnings is the earnings in excess of these required dollar earnings.公式:2.剩余收益模型是什么?定义:A model that measures value added from forecasts of residual earnings is called the residual earnings model.公式:value=Book value+Premiumvalue=Book value+Prem
6、ium =Book value+present value of expected =Book value+present value of expected r residual earnings.esidual earnings.Example:Example:Valuing a One-Period Project(1)Valuing a One-Period Project(1)Investment$400Required return 10%Revenue forecast$440Forecasted earnings$40 DCF Valuation:A rate of retur
7、n of 10 percent on the investment of$400.Example:Example:Valuing a One-Period Project(2)Valuing a One-Period Project(2)Investment$400Required return 10%Revenue forecast$448Earnings forecast$48A rate of return of 12 percent on the investment of$400.The project adds valueExample:Example:Valuing a Savi
8、ngs AccountValuing a Savings AccountForecasts for a Savings Account with$100 invested at the end of 2000.Earning5%per year.Value=Book Value+Present Value of Residual Earnings =100+0 =100The Normal Price-to-Book RatioThe Normal Price-to-Book Ratio(Price=Book Value)The Normal P/B firm earns an expecte
9、d rate of return on its book value equal to the required returnThe Normal P/B firm earns expected residual earnings of zero.Lessons from the Savings AccountLessons from the Savings Account 从储蓄账户这个例子得到一些准则,这些准则在将要介绍的模型中也是适用的。1.An asset is worth a premium or discount to its book value only if the book
10、 value is expected to earn non-zero residual earnings.2.Residual earnings techniques recognize that earnings growth does not add value if that growth comes from investment earning at the required return.3.Even though an asset does not pay dividends,it can be valued from its book value and earnings f
11、orecasts.4.The valuation of the savings account does not depend on dividend payout.The two scenarios have different expected dividends,but the same value.5.The valuation of a savings account is unrelated to free cash flows:The two accounts have the same value,but different free cash flow.Example:Exa
12、mple:a Simple Model a Simple ModelIn millions of dollars.Required return is 10%per year.Forecast Year 0 1 2 3 4 5RE growth rate 3%3%3%3%.$133.71 million The intrinsic price-to-book ratio(P/B)is$133.71/$100=1.34.剩余收益模型(复杂)剩余收益模型(复杂)剩余收益模型(复杂)剩余收益模型(复杂)An equity investment is a going concern,and a goi
13、ng concern goes on indefinitely.We calculate the intrinsic premium over book value,as the present value of forecasted residual income.This premium is the missing value in the balance sheet.P/B与RE的关系(见下表)High P/B firms pay high RE,on average,while low P/B firms pay low RE.Relation Between P/B Ratios
14、and Subsequent RERelation Between P/B Ratios and Subsequent RE(有问题有问题有问题有问题)Alternative Measure of Residual EarningsAlternative Measure of Residual Earnings Residual earnings is the return on common equity,expressed as a dollar excess return rather than a ratio.We also restate residual earnings as:剩
15、余收益模型的驱动因素剩余收益模型的驱动因素剩余收益模型的驱动因素剩余收益模型的驱动因素Drivers of Residual Drivers of Residual EarningsEarningsTwo Drivers:1.ROCE If forecasted ROCE equals the required return,then RE will be zero,and V=BIf forecasted ROCE is greater than the required return,then V BIf forecasted ROCE is less than the required
16、return,then V B2.Growth in book valueRE will change with change with ROCE and growth in book valueP/B,ROCE and Growth in Book ValueP/B,ROCE and Growth in Book ValueP/B in 2003ROCE in 2004Growth Rate forBook Value in 2004The Gap Inc.4.2328.1%30.7%General Electric Co.4.1622.3%39.3%Verizon Communicatio
17、ns Inc.3.3223.4%12.2%Citigroup Inc.2.7917.4%11.5%Home Depot Inc.2.6219.2%13.2%General Motors Corp.1.1911.1%9.7%Federated Department Stores0.9212.0%3.1%ROCE is positively related to P/B.And growth in book value is also positively related to P/B.ROCE and P/B Ratios:S&P 500 FirmsROCE and P/B Ratios:S&P
18、 500 FirmsIngredients of the ModelIngredients of the Model1.The current book value2.Forecasts of residual earnings 3.Forecasted premium at the horizon Component 3 is called the continuing value.As efficient prices equal intrinsic values,thenSteps in Applying the ModelSteps in Applying the Model1.Ide
19、ntify the book value in the most recent balance sheet.2.Calculate future residual earnings from the forecasts of earnings and book values.3.Discount the residual earnings to present value.4.Calculate a continuing value at the forecast horizon.5.Discount the continuing value to the present value.6.Ad
20、d 1,3,and 5.How the Residual Earnings Model Works How the Residual Earnings Model Works ROCE1Current book valueROCE2Book value1ROCE3Book value2Year 3 aheadYear 2 aheadYear 1 aheadResidual earnings1Residual earnings2Residual earnings3Current book valueCurrent yearPV of RE1Discount by ForecastsPV of R
21、E2PV of RE3Current book valueDiscount by 3Discount by 2Current Data 剩余收益模型的应用剩余收益模型的应用剩余收益模型的应用剩余收益模型的应用-Equities-Equities Case 1:Zero RE after TCase 1:Zero RE after T Flanigans Enterprises Inc.Required rate of return is 9 percent.In this case,residual earnings is expected to be zero after 2003.Fore
22、cast Year1999 2000 2001 2002 2003 ROCE 20.4%19.0%14.9%9.0%Total present value of RE to 2003 Value per share Case 1:Zero RE after TCase 1:Zero RE after T-Continuing Value Continuing Value RE is forecasted to be zero in perpetuity at the horizon So The forecasted premium at the horizon isCase 2:Consta
23、nt RE after TCase 2:Constant RE after T General Electric Co.Required rate of return is 10 percent.In this case,residual earnings is expected to be constant,but nonzero after 2004.Suppose that RE beyond 2004 is going to be the same as the 0.882 in 2004.Forecast Year1999 2000 2001 2002 2003 2004ROCE 2
24、9.9%27.4%24.7%23.3%22.3%Present value of CVValue per share The continuing value:Assuming constant RE after period T:RE is forecasted to be constant in perpetuity at the horizonSoCase 2:Constant RE after TCase 2:Constant RE after T-Continuing ValueContinuing ValueFor GE,CVT=Case 3:Growing RE after TC
25、ase 3:Growing RE after TDell Inc.Required rate of return is 11 percent.In this case,residual earnings is expected to grow at a 6.5 percentrate after 2005.Forecast Year2000 2001 2002 2003 2004 2005ROCE 40.8%16.6%24.3%24.5%22.6%RE(11%charge)0.613 0.161 0.448 0.568 0.605 Discount rate(1.11)t Total pres
26、ent value of RE to 2005 1.75 Present value of CV Value per share The continuing value(with growth at 6.5%):Assuming growing RE after period T:Case 3:Growing RE after TCase 3:Growing RE after T-Continuing ValueContinuing ValueRE is forecasted to grow at constant rate in perpetuity at the horizonSo Fo
27、recasting Target PricesCase 1(Flannigans)Case 2(GE)Case 3(Dell)剩余收益模型应用剩余收益模型应用剩余收益模型应用剩余收益模型应用-Project Project Value added:PV of RE=330 (same as NPV)剩余收益模型应用剩余收益模型应用剩余收益模型应用剩余收益模型应用-Strategy EvaluationStrategy EvaluationResidual Earnings Model and DCF Residual Earnings Model and DCF ApproachApproac
28、h(!)(!)(!)(!)在前面的例子中,我们看到剩余收益模型计在前面的例子中,我们看到剩余收益模型计算的价值与现金流量折现法计算的价值是相同的。算的价值与现金流量折现法计算的价值是相同的。The foercasts of RE have captuerd the value added over the cost of the investment.剩余收益模型的优点、缺点剩余收益模型的优点、缺点剩余收益模型的优点、缺点剩余收益模型的优点、缺点AdvantagesAdvantagesFocus on value drivers:focuses on profitability of inve
29、stment and growth in investment that drive value;directs strategic thinking to these driversIncorporates the financial statements:incorporates the value already recognized in the balance sheet(the book value)Uses accrual accounting:uses the properties of accrual accounting that recognize value added
30、 ahead of cash flows,matches value added to value given up and treats investment as an asset rather than a loss of value Versatility:can be used with a wide variety of accounting principles(Chapter 16)Aligned with what people forecast:analysts forecast earnings(from which forecasted residual earning
31、s can be calculated)Validation:forecasts of residual earnings can be validated in subsequent audited financial statementsPredictability:dividends are usually fairly stable in the short run so dividends are easy to forecast(in the short run)DisadvantagesDisadvantagesAccounting complexity:requires an
32、understanding of how accrual accounting worksSuspect accounting:relies on accounting numbers that can be suspect(Chapter 17)Forecast horizon:forecast horizons can be shorter than for DCF analysis and more value is typically recognized in the immediate future;also,forecasts up to the horizon give an
33、indication of profitability and growth for a continuing value calculation;but the forecast horizon does depend on the quality of the accrual accounting(Chapter 16)剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:(1 1)Protection from Paying Too Much for Earnings Protection from Paying Too Much for Earnings Generated by I
34、nvestmentGenerated by Investment The firm is expected to make a share issue of$50 in Year 1.Required return is 10 percent per year.Forecast Year 0 1 2 3 4 5RE growth rate3%3%3%3%$133.71 million.Beware!剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:(2 2)Protection from Paying Too Much for Ea
35、rnings Protection from Paying Too Much for Earnings Created by the Accounting:the Simple ExampleCreated by the Accounting:the Simple Example Writing inventory down by$8 million in Year 0 creates lower-cost-of-goods sold in Year 1:Forecast Year 0 1 2 3 4 5RE growth rate 3%3%3%=$133.71 million.Beware!
36、剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:(3 3)Capturing Value Not on the Balance Sheet-for All Capturing Value Not on the Balance Sheet-for All Accounting MethodsAccounting Methods Residual earnings valuation solves the problem of the imperfect balance sheet,adding a premium by foerca
37、sting the earnings that the book values will produce.The higher residual earnings compensate for the lower book values,to produce a valuation that corrects the low book value.This makes sense:If assets are missing from the balance sheet,the P/B ratio should be higher,and a higher P/B means that resi
38、dual earnings are expected to be higher.剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:剩余收益模型对投资者的提醒:(4)Residual Earnings Are not Affected by(4)Residual Earnings Are not Affected by Dividengds,Share Issues,or Share RepurchasesDividengds,Share Issues,or Share RepurchasesValuing a Savings AccountProtection
39、 from Paying Too Much for Earnings Created by Investment.这两个例子就说明了这个问题!SummarySummary 本章提出的剩余收益模型可以应用于股票、项目、本章提出的剩余收益模型可以应用于股票、项目、战略等。该模型利用了资产负债表中的信息,但它指出战略等。该模型利用了资产负债表中的信息,但它指出了剩余收益的价值,这是报表所忽略掉的。了剩余收益的价值,这是报表所忽略掉的。剩余收益模型的核心就是剩余收益这个概念。当一剩余收益模型的核心就是剩余收益这个概念。当一项投资的预期收益是按所要求的回报率计算的,那么剩项投资的预期收益是按所要求的回报
40、率计算的,那么剩余收益为余收益为0 0,并且没有使价值增加。剩余收益不受股利,并且没有使价值增加。剩余收益不受股利分配、股票的发行、股票的回购等地影响,所以用该模分配、股票的发行、股票的回购等地影响,所以用该模型计算的价值不受股东交易的影响。该模型并且提醒投型计算的价值不受股东交易的影响。该模型并且提醒投资不要为了追求收益的增长而支付太多,因为收益的增资不要为了追求收益的增长而支付太多,因为收益的增长可能是由于过多的投资所致也可能是会计方法的不同长可能是由于过多的投资所致也可能是会计方法的不同所致。所致。总之,剩余收益模型给我们提供了一种思考价值的总之,剩余收益模型给我们提供了一种思考价值的方法,尤其要关注的是和方法,尤其要关注的是和 Growth in book Growth in book valuevalue。BEWARE OF PAYING TOO MUCH FOR GROWTH!