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Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,9-,1,Copyright 2001 by Harcourt,Inc.All rights reserved.,CHAPTER 9,Stocks and Their Valuation,Features of common stock,Determining common stock values,Efficient markets,Preferred stock,Represents ownership.,Ownership implies control.,Stockholders elect directors.,Directors elect management.,Managements goal:Maximize stock price.,Facts about Common Stock,Social/Ethical Question,Should management be equally concerned about employees,customers,suppliers,“the public,”or just the stockholders?,In enterprise economy,work for,stockholders,subject to,constraints,(environmental,fair hiring,etc.)and,competition,.,Classified stock has special provisions.,Could classify existing stock as founders shares,with voting rights but dividend restrictions.,New shares might be called,“Class A”,shares,with voting restrictions but full dividend rights.,Whats,classified stock,?How might classified stock be used?,When is a stock sale an,initial public offering(IPO),?,A firm,“goes public”,through an IPO when the stock is first offered to the public.,Average Initial Returns on IPOs in Various Countries,Malaysia,100%,75%,50%,25%,Brazil,Portugal,Japan,Sweden,United States,Canada,Dividend growth model,Free cash flow method,Using the multiples of comparable firms,Different Approaches for Valuing Common Stock,One whose dividends are expected to,grow forever at a constant rate,g.,Stock Value=PV of Dividends,What is a constant growth stock?,For a Constant Growth Stock,D,1,=D,0,(1+g),1,D,2,=D,0,(1+g),2,D,t,=D,t,(1+g),t,P,0,=.,If g is constant,then:,D,0,(1+g),k,s,-g,D,1,k,s,-g,$,0.25,Years(t),0,What happens if g k,s,?,If k,s,g and(2)g is expected to be constant forever.,Assume beta=,1.2,k,RF,=,7,%,and k,M,=,12,%.What is the required rate of return on the firms stock?,k,s,=k,RF,+(k,M,k,RF,)b,Firm,=7%+(12%7%)(1.2),=,13%,.,Use the SML to calculate k,s,:,D,0,was$2.00 and g is a constant 6%.Find the expected dividends for the next 3 years,and their PVs.k,s,=13%.,0,1,2.247,2,2.382,3,g=6%,1.8761,1.7599,D,0,=2.00,1.6509,13%,2.12,=,Whats the stocks market value?D,0,=2.00,k,s,=13%,g=6%.,Constant growth model:,P,0,=,D,1,k,s,g 0.13 0.06,$2.12,$2.12,0.07,$30.29.,D,1,will have been paid,so expected dividends are D,2,D,3,D,4,and so on.Thus,Could also find P,1,as follows:,k,s,g 0.13 0.06,P,1,=,What is the stocks market value one year from now,P,1,?,D,2,$2.247,=$32.10.,P,1,=P,0,(1.06)=$32.10.,Find the expected dividend yield,capital gains yield,and total return during the first year.,Dividend yld =,Cap gains yld=,Total return=7.0%+6.0%=13.0%.,D,1,P,0,P,1,P,0,P,0,$30.29,$2.12,7.0%.,$32.10,$30.29,$30.29,=6.0%.,Rearrange model to rate of return form:,$,$,.,P,D,k,g,D,P,g,s,0,1,1,0,=,-,=,+,to,k,s,Then,k,s,=$2.12/$30.29+0.06,=0.07+0.06=13%.,P,0,=$15.38.,What would P,0,be if g=0?,The dividend stream would be a perpetuity.,2.00,2.00,2.00,0,1,2,3,13%,.,PMT,k,$2.00,0.13,Can no longer use constant growth model.,However,growth becomes constant after 3 years.,If we have supernormal growth of 30%for 3 years,then a long-run constant g=6%,what is P,0,?k is still 13%.,Nonconstant growth followed by constant,growth:,0,2.301,2.647,3.045,46.116,1,2,3,4,k,s,=13%,54.109,=P,0,g=30%,g=30%,g=30%,g=6%,D,0,=2.00 2.600 3.380 4.394 4.658,$,.,.,.,$66.54,P,3,4.658,13,0,06,=,-,=,0,.,What is the expected dividend yield and capital gains yield at t=0?At t=4?,Div.yield,0,=4.81%.,Cap.gain,0,=13.00%,4.81%=8.19%.,$2.60,$54.11,During nonconstant growth,D/P and capital gains yield are not constant,and capital gains yield is less than g.,After t=3,g=constant=6%=capital gains yield;k=13%;so D/P=13%,6%=7%.,25.72,Suppose g=0 for t=1 to 3,and then g is a constant 6%.What is P,0,?,0,1.77,1.57,1.39,20.99,1,2,3,4,k,s,=13%,g=0%,g=0%,g=0%,g=6%,2.00 2.00 2.00 2.00,2.12,.,$,P,3,2.12,0,07,30.29.,=,=,.,t=3:Now have constant growth with g=capital gains yield=6%and D/P=7%.,$2.00,$25.72,What is D/P and capital gains yield at t=0 and at t=3?,t=0:,D,1,P,0,=7.78%.,CGY=13%7.78%=5.22%.,If g=,-6%,would anyone buy the stock?If so,at what price?,Firm still has earnings and still pays,dividends,so P,0,0:,(,),$,P,D,k,g,D,g,k,g,s,s,0,1,0,1,=,-,=,+,-,$2.00(0.94)$1.88,0.13 (-0.06)0.19,=$9.89.,What is the annual D/P and capital gains yield?,Capital gains yield=g=-6.0%,Dividend yield=13.0%(-6.0%)=19%.,D/P and cap.gains yield are constant,with high dividend yield(19%)offsetting,negative capital gains yield.,Free Cash Flow Method,The free cash flow method suggests that the value of the entire firm equals the present value of the firms free cash flows(calculated on an after-tax basis).,Recall that the free cash flow in any given year can be calculated as:,NOPAT Net capital investment.,Once the value of the firm is estimated,an estimate of the stock price can be found as follows:,MV of common stock(market capitalization)=MV of firm MV of debt and preferred stock.,P=MV of common stock/#of shares.,Using the Free Cash Flow
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