三、综合题
1.运用年金法公式:
=(10×0.9091+11×0.8264+12× 0.7513+12×0.6830+13× 0.6209)÷(0.9091+0.8264+0.7513+0.6830+0.6209)÷10%=(9.09+9.09+9.02+8.20+8.07)÷3.7907÷10%=43.47÷3.7907÷10%=114.68(万元)
2.运用分段法公式:
=(10×0.9091+11×0.8264+12×O.7513+12×O.6830+13×0.6209)
+15/10%×0.6209=43.47+150×O.6209=136.61(万元)
3.运用分段法公式:
=(10×0.9091+11×0.8264+12×0.7513+12×O.6830+13×0.6209)+13(1+1%)/(10%-1%)×O.6209=43.47+13.13/9%×O.6209=134.05(万元)
4.运用公式:
5.折现率=无风险报酬率+风险报酬率
无风险报酬率=4%
风险报酬率==(7%-4%)×1.2=3.6%
折现率=4%+3.6%=7.6%
6.折现率=长期负债占投资资本的比重×长期负债利率+所有者权益占投资资本的比重×净资产投资要求的回报率
(1)确定被评估企业自有资本要求的回报率
社会风险报酬率:8%-4%=4%
行业风险报酬率:4%×1.5=6%
自有资本要求的报酬率:4%+6%=10%
(2)用于企业评估的资本化率是:40%×6%+60%×10%=2.4%+6%=8.4%
7.企业所在行业风险报酬率:(9%-4%)×1.2=6%
企业资本化率:6%+4%=10%
企业净资产价值:
=67×0.9091+73.7×0.8264+80.4×0.7513十80.4× 0.6830+87.1×0.6209+87.1×7.9167=980.73(万元)
8.企业自有资产收益率:(9%-4%)×1.2+4%=10%
投资资本收益率:6%× 50%+10%×50%=8%
则投资资本价值:
=[113.4×0.9259+123.4× 0.8573+133.4×0.7938+133.4×0.7350+143.4×0.6806]
÷(0.9259+0.8573+0.7938+0.735+0.6803)÷0.08=1604.56(万元)