3.【答案】本題的主要考核點是個別資本成本及其加權平均資本成本的計算。
(1)借款成本的計算:
NPV=150×8.93%×(1-40%)×(P/A, ,5)+150(P/S, ,5)-150
當 =5%,NPV=150×8.93%×(1-40%)×(P/A,5%,5)+150(P/S,5%,5)-150
=8.037×4.3295+150×0.7835-150
=34.796+117.525-150=2.321(萬元)
當 =6%,NPV=150×8.93%×(1-40%)×(P/A,6%,5)+150(P/S,6%,5)-150
=8.037×4.2124+150×0.7473-150
=33.855+112.095-150=-4.05(萬元)
= =5.36%
或直接 =8.93%(1-40%)=5.36%
(2)債券成本的計算:
NPV=1×8%×(1-40%)×(P/A, ,10)+1×(P/S, ,10)-0.85
當 =6%,NPV=1×8%×(1-40%)×(P/A,6%,10)+1×(P/S,6%,10)-0.85
=0.048×7.3601+1×0.5584-0.85
=0.353+0.558-0.85=0.061(萬元)
當 =7%,NPV=1×8%×(1-40%)×(P/A,7%,10)+1×(P/S,7%,10)-0.85
=0.048×7.0236+1×0.5083-0.85
=0.337+0.508-0.85=-0.005(萬元)
= =6.92%
(3)普通股成本和留存收益成本
股利增長模型:
=
=6.81%+7%
=13.81%
資本資產定價模型:
預期報酬率=5.5%+1.1×(13.5%-5.5%)
=5.5%+8.8%
=14.3%
普通股平均成本=(13.81%+14.30%)÷2
=14.06%
(4)留存利潤數額:
明年每股凈收益=(0.35÷25%)×(1+7%)
=1.4×1.07
=1.498(元/股)
留存利潤數額=1.498×400×(1-25%)+420
=449.4+420