《中级财务管理》第3章习题及参考答案

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案例3:

某房地产开发公司对某一地块有两种开发方案。

A方案:一次性开发多层住宅45000m2建筑面积,需投入总成本费用(包括前期开发成本、施工建造成本和销售成本,下同)9000万元,开发时间(包括建造、销售时间,下同)为18个月。

B方案:将该地块分成东、西两区分两期开发。一期在东区先开发高层住宅36000m2,建筑面积,需投入总成本费用8100万元,开发时间为15个月。二期开发时,如果一期销路好,且预计二期销售率可达100%(售价和销量同一期),则在西区继续投入总成本费用8100万元开发高层住宅36000m2建筑面积;如果一期销路差,或暂停开发,或在西区改为开发多层住宅22000m2建筑面积,需投入总成本费用4600万元,开发时间为15个月。 两方案销路好和销路差时的售价和销量情况汇总于表1。

根据经验,多层住宅销路好的概率为0.7%,高层住宅销路好的概率为0.6%.暂停开发每季损失10万元。季利率为2%。 表1

建筑开发方案 面 积(万元) A方案 B 一期 方 二期 案 一期销路差 多层住宅 高层住宅 一期销路好 高层住宅 多层住宅 停建 2.2 4800 100 4300 80 4.5 3.6 3.6 4800 5500 5500 100 100 100 4300 5000 80 70 销路好 售价(元/M2) 销路差 销售率(%) 售价(元/m2) 销售率(%) 思考题:

1.两方案销路好和销路差情况下分期计算季平均销售收入各为多少万元?(假定销售收入在开发时间内均摊)

2.绘制两级决策的决策树。 3.试决定采用哪个方案。

参考答案 1.

解:计算季平均销售收入: A方案开发多层住宅: 销路好:4.5×4800×100%÷6=3600(万元) 销路差:4.5×4300×80%÷6=2580(万元) B方案一期:

开发高层住宅:销路好:3.6×5500×100%÷5=3960(万元) 销路差:3.6×5000×70%÷5:2520(万元) B方案二期:

开发高层住宅:3.6×5500×100%÷5=3960(万元) 开发多层住宅:销路好:2.2×4800×100%÷5=2112(万元) 销路差:2.2×4300×80%÷5=1513.6(万元)

2.

3:

解:方案选择 机会点①

净现值的期望值=(3600×0.7+2580×0.3) ×(P/A,2%,6)-9000=(3600×0.7十2580×0.3) ×5.601-9000=9449.69(万元)

等额年金:9449.6 9×(A/P,2%,6)=9449.69×/(P/A,2%,6) =9449.69/5.601 =1687.14(万元) 机会点③

净现值的期望值:3960×(P/A,2%,5) ×1.0—8100 =3960×4.713×1.0-8100=10563.48(万元)

等额年金:10563.48×(A/P,2%,5)=10563.48/(P/A,2%,5) = 10563.48/4.713=2241.35(万元) 机会点④

净现值的期望值:-10×(P/A,2%,5) =-10×4.713=—47.13(万元) 等额年金:-47.13×(A/P,2%,5)=-47.13/(P/A,2%,5) =-47.13/4.713=-10.00(万元) 机会点⑤

净现值的期望值:(2112×0.7十1513.6×0.3) ×(P/A,2%,5) -4600 =(2112×0.7十1513.6×0.3) ×4.713-4600=4507.78(万元)

等额年金:4507.78×(A/P,2%,5)=4507.78/(P/A,2%,5)=956.46(万元) 根据计算结果判断,B方案在一期开发高层住宅销路差的情况下,二期应改为开发多层住宅。 机会点②

净现值的期望值:[10563.48×(P/F,2%,5) +3960×(P/A,2%,5)) ×0.6 +[4507.78×(P/F,2%,5)十2520×(P/A,2%,5)] ×0.4-8100

=(10563.48×0.906+3960×4.713) ×0.6十(4507.78×0.906十2520×4.713) ×0.4-8100 =16940.40+6384.32-8100=15224.72(万元)

等额年金:15224.72×(A/P,2%,10)=15224.72/(P/A,2%,10) =15224.72/8.917=1707.38(万元)

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