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VincentShell · 2022年11月22日

为什么最后N=15?

NO.PZ2017092702000018

问题如下:

Given the discount rate of 4% a year compounded annually, the present value (PV)of 50,000, as of the end of Year 5 (PV5 ), of the cash flow received at the end of Year 20 is closest to:

选项:

A.

$22,819.

B.

$27,763.

C.

$28,873.

解释:

B is correct.

The PV in Year 5 of a $50,000 lump sum paid in Year 20 is $27,763.23 (where FV is future value): PV = FVN(1 + r)N PV = $50,000(1 + 0.04)15 PV = $27,763.23

已知年化折现率为4%,按年计息,求在第20年末发生的一笔金额为50000的现金流在第五年末的现值为多少。计算器步骤如下:

N=15; I/Y=4; PMT=0; FV=-50,000; CPT PV =27763.22514

No.PZ2017092702000018 (选择题)

来源: 原版书

Given the discount rate of 4% a year compounded annually, the present value (PV)of 50,000, as of the end of Year 5 (PV5 ), of the cash flow received at the end of Year 20 is closest to:

A

$22,819.

B

$27,763.

C

$28,873.




不明白为什么最后是N=15,请老师解答一下

1 个答案
已采纳答案

星星_品职助教 · 2022年11月22日

同学你好,

这道题的理解应为:在20时点会收到一笔50,000的现金流,这笔现金流在5时点的现值是多少?

所以相当于将50,000从20时点折现到5时点,这中间一共有15期,即N=15.

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NO.PZ2017092702000018 问题如下 Given the scount rate of 4% a yecompounannually, the present value (PV)of 50,000, of the enof Ye5 (PV5 ), of the cash flow receivethe enof Ye20 is closest to: A.$22,819. B.$27,763. C.$28,873. B is correct. The PV in Ye5 of a $50,000 lump sum paiin Ye20 is $27,763.23 (where FV is future value): PV = FVN(1 + r)–N PV = $50,000(1 + 0.04)–15 PV = $27,763.23已知年化折现率为4%,按年计息,求在第20年末发生的一笔金额为50000的现金流在第五年末的现值为多少。计算器步骤如下N=15; I/Y=4; PMT=0; FV=-50,000; CPT PV =27763.22514 不应该是Y5的现值吗?也就是20年的折现到5年,5年再折现到现在啊?

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