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姿姿不倦 · 2018年11月30日

问一道题：NO.PZ2017092702000013

  1. CFA I
  2. Quantitative

问题如下图：

    

选项：

A.

B.

C.

解释：




可是我用计算器，先算出了FV=50311.57，再bba把计算器调成先付年金mode，算出来的PV却是47102.58。为什么和答案差距这么da大？


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姿姿不倦 · 2020年02月27日

我明白了，我一是没有理解题意，不需要算FV。二是，假若我用计算器，FV也根本不用算，FV是0。我得到FV=50311.57，是用N=10, I/Y=5, PMT=2000, PV=15443.47，算出来的。😓 其实这是错的，N=10, I/Y=5, PMT=2000, FV=0，得到PV= 15443.47。也就是题目给的。 最简便的算法就是直接拿15443.47乘以1+1.05 就得到答案。

3 个答案
已采纳答案

菲菲_品职助教 · 2018年12月02日

因为你要保证PV和PMT的符号是一样的，不然就会相差很大。

姿姿不倦 · 2020年02月27日

您说的是应该保证PMT和PV符号相反吧？ 因为PMT无论和FV还是PV都必须相反吧。

鱼飞斯瓦 · 2019年05月04日

同学，我用计算器计算成功了，分享给你。

题目问的，在同等利率、期数条件下，求PV。在BGN模式下，计算器按FV=0,N=10,I/Y=5,PMT=2000,即可计算得到PV=-16215.64

第一步是否计算出来PV其实与题目所问答案没有关联

菲菲_品职助教 · 2019年05月04日

很棒

姿姿不倦 · 2020年02月27日

是的同学 我明白了，感谢！

姿姿不倦 · 2018年12月03日

好的谢谢~

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NO.PZ2017092702000013 问题如下 a 5% interest rate per yecompounannually, the present value (PV) of a 10-yeornary annuity with annupayments of $2,000 is $15,443.47. The PV of a 10-yeannuity e with the same interest rate anpayments is closest to: A.$14,708. B.$16,216. C.$17,443. B is correct. The present value of a 10-yeannuity (e with payments of $2,000 a 5% scount rate is calculatefollows: PV = $16,215.64.PV=A[1−1(1+r)Nr]+2000PV=A{\lbrack\frac{1-\frac1{{(1+r)}^N}}r\rbrack}+2000PV=A[r1−(1+r)N1​​]+2000PV=2000[1−1(1+0.05)90.05]+2000PV=2000{\lbrack\frac{1-\frac1{{(1+0.05)}^9}}{0.05}\rbrack}+2000PV=2000[0.051−(1+0.05)91​​]+2000PV = $16,215.64. Alternatively, the PV of a 10-yeannuity e is simply the PV of the ornary annuity multiplie1.05: PV = $15,443.47 × 1.05 PV = $16,215.64.无论是求PV还是FV，Annuity e的值都相当于对应期数的Ornary Annuity的值再往后复利一期。即可以先求出Ornary Annuity的PV，在乘以1+r，就是对应的Annuity e的PV。对于本题而言，Ornary Annuity的PV直接给出，所以就用给出的15,443.47*（1+0.05）即可得到对应annuity e的PV。即答案 这道题不应该先用N=10,I/Y=5,PMT=2000,PV = 15443.47 求出FV再转换成先付年金用求出来的FV算PV不是这样吗

2023-09-20 15:28 1 · 回答

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2023-09-12 08:04 1 · 回答

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2023-09-09 16:39 1 · 回答

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2023-07-19 11:03 1 · 回答

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