(1)设X项目的内含收益率为RX, 100=33×(P/A,RX,4),(P/A,RX,4)=100/33=3.0303(P/A,12%,4)=3.0373,(P/A,13%,4)=2.9745 RX=(3.0303-3.0373)/(2.9745-3.0373)×(13%-12%)+12%=12.11% 设Y项目的内含收益率为RY, 120=51×(P/A,RY,3),(P/A,RY,3)=120/51=2.3529(P/A,13%,3)=2.3612,(P/A,14%,3)=2.3216 RY=(2.3529-2.3612)/(2.3216-2.3612)×(14%-13%)+13%=13.21% 因为Y项目的内含收益率高于X项目的内含收益率,因此应优先安排Y项目。
(2)X项目净现值=33×(P/A,10%,4)-100=33×3.1699-100=4.61(万元)X项目年金净流量=4.61/(P/A,10%,4)=4.61/3.1699=1.45(万元)Y项目净现值=51×(P/A,10%,3)-120=51×2.4869-120=6.83(万元)Y项目年金净流量=6.83/(P/A,10%,3)=6.83/2.4869=2.75(万元)Y项目年金净流量高于X项目年金净流量,因此,甲公司应投资Y项目。