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2016-03-20 1楼
书本中例题内含报酬率答案计算过程
请问书本第73页上图2-6中第14行内含报酬率及第15行修正的折现报酬率的答案是如何计算出来的
2016-03-21

内含报酬率 

2000000=560000*(P/F,IRR,1) 696028*(P/F,IRR,2) 1350773*(P/F,IRR,3) 392874*(P/F,IRR,4)

当IRR=16%时,
等式右边=560000*(P/F,16%,1) 696028*(P/F,16%,2) 1350773*(P/F,16%,3) 392874*(P/F,16%,4)=560000*0.8621 696028*0.7432 1350773*0.6407 392874*0.5523=2082488.58;
结果大于20000

当IRR=18%时,
等式右边=560000*(P/F,18%,1) 696028*(P/F,18%,2) 1350773*(P/F,18%,3) 392874*(P/F,18%,4)=560000*0.8475 696028*0.7182 1350773*0.6086 392874*0.5158=1999212.17;

结果小于20000.

运用内插法列式:
(18%-16% ) / ( IRR-16% )=( 1999212.17-2082488.58 )=( 20000-2082488.58 )



2016-03-21
1、 内含报酬率 
20000=560000*(P/F,IRR,1)+696028*(P/F,IRR,2)+1350773*(P/F,IRR,3)+392874*(P/F,IRR,4)
当IRR=16%时,
等式右边=560000*(P/F,16%,1)+696028*(P/F,16%,2)+1350773*(P/F,16%,3)+392874*(P/F,16%,4)=560000*0.8621+696028*0.7432+1350773*0.6407+392874*0.5523=2082488.58;
结果大于20000
当IRR=18%时,
等式右边=560000*(P/F,18%,1)+696028*(P/F,18%,2)+1350773*(P/F,18%,3)+392874*(P/F,18%,4)=560000*0.8475+696028*0.7182+1350773*0.6086+392874*0.5158=1999212.17;
结果小于20000.
运用内插法列式:
(18%-16%)/(IRR-16%)=(1999212.17-2082488.58)=(20000-2082488.58)
然后解一元一次方程,得出的IRR就是内含报酬率
IRR=16%+[82488/(82488+789)]*(18%-16%)
                       =16%+1.89%
2、修正的折现报酬率,用回报阶段的%
2016-03-21
2、修正的折现报酬率,用回报阶段的现值 MIRR=2 367 515/2000000(开4次方)*(1+10%)-1=14.74%

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