


债券的税前资本成本= 4.567 5%÷(1 - 25%)= 6.09%,即:(1 +票面利率 ÷2)2 - 1 = 6.09%,票面利率=[(6.09% + 1)0.5 - 1]×2 = 6%。

假设半年期税前债务资本成本为 rd,则:
60×(P/A,rd,10)+ 1 000×(P/F,rd,10)= 1 032.51
当 rd = 6% 时,60×7.360 1 + 1 000×0.558 4 = 1 000(元)
当 rd = 5% 时,60×7.721 7 + 1 000×0.613 9 = 1 077.2(元)
根据插值法:(rd - 5%)÷(6% - 5%)=(1 032.51 - 1 077.2)÷(1 000 - 1 077.2)
解得:rd = 5.58%
债券的税前有效年资本成本=(1 + 5.58%)2 - 1 = 11.47%
债券的税后资本成本= 11.47%×(1 - 25%)= 8.6%
按照股利增长模型:普通股资本成本= 5.2×(1 + 5%)÷50 + 5% = 15.92%
按照资本资产定价模型:普通股资本成本= 7% + 1.2×6% = 14.2%
普通股资本成本=(15.92% + 14.2%)÷2 = 15.06%

设该股票的资本成本为 r,则:
第 1 年股利= 2×(1 + 20%)= 2.4(元 / 股)
第 2 年股利= 2×(1 + 20%)2 = 2.88(元 / 股)
第 3 年股利= 2×(1 + 20%)3 = 3.46(元 / 股)
第 4 年股利= 2×(1 + 20%)3×(1 + 12%)= 3.87(元 / 股)
2.4×(P/F,r,1) + 2.88×(P/F,r,2) + 3.46×(P/F,r,3) + 3.87÷(r - 12%)×(P/F,r,3)= 100
当 r = 14% 时:
2.4×(P/F,14%,1)+ 2.88×(P/F,14%,2)+ 3.46×(P/F,14%,3)+ 3.87÷(14% -12%)×(P/F,14%,3)
= 2.4×0.877 2 + 2.88×0.769 5 + 3.46×0.675 + 3.87÷(14% - 12%)×0.675 = 137.27(元)
当 r = 15% 时:
2.4×(P/F,15%,1)+ 2.88×(P/F,15%,2)+ 3.46×(P/F,15%,3)+ 3.87÷(15% -12%)×(P/F,15%,3)
= 2.4×0.869 6 + 2.88×0.756 1 + 3.46×0.657 5 + 3.87÷(15% - 12%)×0.657 5
= 91.36(元)
根据插值法:

解得:
r = 14.81%
该股票的资本成本为 14.81%。









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