(4)8=1×(P/F,i,1)+1.02×(P/F,i,2)+[1.02×(1+3%)+9]×(P/F,i,3)
当i=16%时,1×(P/F,16%,1)+1.02×(P/F,16%,2)+[1.02×(1+3%)+9]×(P/F,16%,3)
=8.06
当i=18%时,1×(P/F,18%,1)+1.02×(P/F,18%,2)+[1.02×(1+3%)+9]×(P/F,18%,3)=7.70
根据内插法求得:i=16.33%
(5)甲股票占投资组合的比重=200×9/(200×8+200×9)=0.53
乙股票占投资组合的比重=200×8/(200×8+200×9)=0.47
投资组合的β系数
=(200×9)/(200×8+200×9)×1.5+(200×8)/(200×8+200×9)×1.2
=1.36
投资组合的必要收益率=8%+1.36×(13%-8%)=14.8%
(6)投资组合的标准差
=(0.53×0.53×40%×40%+2×0.53×0.47×0.8×25%×40%+0.47×0.47×25%×25%)1/2
=0.0986061/2
=31.4%
【该题针对“股票的收益率,股票的有关概念和价值,债券的收益率,债券估价”知识点进行考核】