1、第四章 股票估值习题答案计算题:1 解答: (1)r=D1/P+g=2/22.5+10%=18.89% (2) 22.5 因为该股票的价格低于投资者的预期价值,所以该投资者会购买2 解答:(1) r=rf+rm-rf=12%+1.6515.6%-12%=17.94%(2) P=8.5/(17.94%-5%)=65.693 解答:P0=EPS/r=5/16%=31.25NPV=565%+565%0.2/0.16=0.8125PVGO=0.8125/(16%-65%20%)=27.08P=P0+ PVGO=31.25+27.08=58.33利用股利增长模型验证:P=535%/(16%-65%20%
2、)=58.334 解答:43=(48+2.84)/(1+r), 推出 r=18.23%5 解答:(1) r=3.6/33=10.91%(2) P=3.6/10%=36(3) 因为该优先股价值被低估了,所以投资者应该购买优先股。6 解答:50(1+15%)6=51.57 解答:(1)P1(公司债)=10000.27+1305.216=270+678.08=948.08948.08/1100=86%P2(优先股)=13/15%=86.6786.67/90=96.3%P3(普通股)=2(1+7.18%)/(20%-7.18%)=2.1436/12.82%=16.7216.72/20=83.6% 其中
3、股利增长率:3(1+g)10=6 得到g=7.18%(2)由于三种证券的价值均小于价格,所以均不应该购买(3)P1=100000.322+1305.65=322+734.5=1056.5 1056.5/1100=96%P2=13/14%=92.86 92.86/90=103%P3=2(1+7.18%)/(18%-7.18%)=2.1436/10.82%=19.81 19.81/20=99%此时只有第二种证券被低估,因此应该购买第二种证券8 解答:(1)23.5=1.32(1+8%)/(r-8%)得到r=14%(2)P=1.32(1+8%)/(10.5%-8%)=57.02423.5(3)因为该
4、股票价值被低估了,所以可以购买。9 解答:(1) P1=EPS/r=6/20%=30(2) P2=DV1/(r-g)=670%/(20%-18%30%)=28.77(3) P3=DV1/(r-g)=640%/(20%-18%60%)=26.09(4) P4=DV1/(r-g)=60%/(20%-18%100%)=0以上表明如果资本在公司内部的收益率低于股东自己投资的收益率,不如把资本还给股东,表现在股票的价格上为,留存比越高,该股票的价格越低。10 解答:DV1=2.5(1+5%)=2.625DV2=2.625(1+5%)=2.756DV3=2.756(1+5%)=2.894DV4=2.894
5、(1+10%)=3.183DV5=3.183(1+10%)=3.50111 解答: r=D1/P+g=1(1+10%)/20+10%=15.5% 一年以后公司股价P=20(1+15.5%)1.1= 2212 解答:r=rf+rm-rf=6%+1.25%=12%P=2(1+10%)/(1+12%)+2(1+10%)2/(1+12%)2+2(1+10%)2(1+7%)/(12%-7%)(1+12%)2=45.1813 解答:80=4(1+g)/(14%-g) 得出g=8.57%14 解答:r=rf+rm-rf=5.6%+0.96%=11%25=2(1+g)/(11%-g) 得出g=2.78%P=2(1+2.78%)4/(11%-2.78%)=27.1515 解答:r1=D/P1=8/60=13.3%r2=D/P2=8/80=10%r3=D/P3=8/100=8%r4=D/P4=8/120=6.67%16 解答:P=D(1+g)/(r-g)=5(1-5%)/(12%+5%)=27.9417 解答:rA=rf+Arm-rf=9%+0.4(13%-9%)=10.6%rB=rf+Brm-rf=9%-0.5(13%-9%)=7%PA=D(1+g)/(r-g)=1.5(1+4%)/(10.6%-4%)=23.64 现在A的股价被高估