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cynthia · 2021年07月27日

题目意思解析

  1. CFA I
  2. Quantitative

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

“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”这一段看不懂，能不能给逐字翻译一下，谢谢🙏
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1 个答案

星星_品职助教 · 2021年07月27日

同学你好，

大意为：如果在第20年时会收到一笔50,000的现金流，那么这笔现金流折现到第5年末，现值应该是多少。

就是求50,000折现后的PV值，其中N=15的意思。

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