财务管理第2章计算分析题答案

2023-03-16 19:45:12   文档大全网     [ 字体: ] [ 阅读: ]

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财务管理,答案,计算,分析
第二章 价值观念与证券估价

计算分析题答案

115000×(P/F, 10%, 10)=5000×0.386=1930 22000×(P/F, 15%, 8)=2000×0.327=654 39000×(P/F, 7%, 12)=9000×0.444=3996 44500×(P/F8%, 6)=4500×0.63=2835 2

126762000(1i),(1i)1.338,i=6%22013.610001+i,1+i2.0136i-7%8%7%i7.24%



2.01361.9672.1591.967

10

10

5

5



3

1F130005.63716911;F230005.98517955F330006.35319059

2P130004.32912987;P230003.79111373P330003.35210056



41A=50000/15.937=3137.35

2A=50000/(F/A,10%,11)-1=50000/(18.531-1)=2852.09

558000=10000×(P/A, i8)(P/A, i8)=5.8

8

t

8

t

5800010000(1i),(1i)

t1

t1

5.8

i-7%8%-7%



5.9715.85.9715.747

,i7.76%





625500=5000×(P/A, 15%n) (P/A, 15%n)=5.1。或

n

t

n

t

255005000(115%),(115%)

t1

t1

5.1

n-1011-10



5.15.0195.2345.019

,n10.38





71)预期报酬率=(-0.1)×0.15+0.14×0.20+0.20×0.40+0.25×0.25=0.1555

2)方差=(-0.1-0.1555)2 ×0.15+(0.14-0.1555)2 ×0.2+(0.2-0.1555)2 ×0.4+(0.25-0.1555) ×0.25=1.29% 标准差=1.29%=11.35%

3)标准离差率=0.1135/0.1555=0.73



1

2




81A股票期望收益率=(40%+20%+10%+5%+15%)/5=18% A股票方差

=0.2×(40%-18%)2+0.2×(20%-18%)2+0.2×(10%-18%)2+0.2×(5%-18%)2+0.2×(15%-18%)2=1.46% A股票标准差=12.08%

B股票期望收益率=(20%+15%+5%+8%+10%)/5=11.6%

B股票方差=[(20%-11.6%)+(15%-11.6%)+(5%-11.6%)+(8%-11.6%)+(10%-11.6%)]/5=0.28% B股票标准差=5.29%

2A股票和B股票的协方差

=[(40%-18%)(20%-11.6%)+(20%-18%)(15%-11.6%)+(10%-18%)(5%-11.6%)+(5%-18%)(8%-11.6%)+(15%-18%)(10%-11.6%)]/5=0.592%

A股票和B股票的相关系数=0.592%/(5.29%×12.08%)=0.9264

3)组合的期望收益率=18%×60%+11.6%×40%=15.44%

组合的方差=60%×60%×1.46%+40%×40%×0.28%+2×60%×40%×0.592%=0.85% 组合的标准差=9.22%

91A期望报酬率=30%×0.5+10%×0.5=20%

A的方差=(30%-20%)2×0.5+(10%-20%)2×0.5=0.01A的标准差=0.1 B期望报酬率=5%×0.5+40%×0.5=22.5%

B的方差=(22.5%-5%)2×0.5+(40%-22.5%)2×0.5= 0.031B的标准差=0.175 2AB协方差=(30%-20%)(5%-22.5%)+(10%-20%)(40%-22.5%)×0.5= -0.0175

相关系数=-0.0175/(0.1×0.175)= -1

3)组合的期望报酬率=20%×50+22.5%×50%=21.25%

组合的标准差

-1=3.75% =50%50%0.0150%50%0.031250%50%0.10.175

2

2

2

2

2

4r=-1WA=0.175/(0.1+0.175)=64%, WB=36%

该组合的期望报酬率=64%×20%+36%×22.5%=20.9%,该组合的标准差=0

5WA=(0.0306+0.5×0.175×0.1)/(0.01+0.0306+2×0.5×0.175×0.1)=68% WB=32% 该组合的期望报酬率=68%×20%+32%×22.5%=20.8%,该组合的标准差=6.29%

10RA=5%+0.75×(17%-5%)=0.14RB =5%+0.90×(17%-5%)=0.158 RC=5%+1.40×(17%-5%)=0.218 11140%+1.5×30%+0.5×20%+1.0×10%=1.45

2)假设调整后A股票所占比重为X,则D股票所占比重为Y X+1.5×30%+0.5×20%+1.0×Y=1.15 2X+Y=0.6 同时:X +30%+20%+Y=1X+Y=0.5 所以,X=0.1Y=0.4

12V=8%×1000×(P/A,7%,10)+1000×(P/F,7%,10)=80×7.024+1000×0.508=1069.92

如果预计市场利率将提高,则愿以更低的价格购买它,如果预计市场利率将下降,愿意以更高的价格购买它。



138%/2=4%10%/2=5%



2


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