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Ineshee · 2018年08月26日

问一道题：NO.PZ2017092702000006 [ CFA I ]

  1. CFA I
  2. Quantitative

问题如下图：

    

选项：

A.

B.

C.

解释：


请问这题，为什么不能直接用，每天的利率是3/365， pv，fv，这样算出来的N是tian shu天数，再除以30，得出来的结果是B呢？

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1 个答案

菲菲_品职助教 · 2018年08月27日

同学你好，产生这个差异的原因在于，你是把一个月当成30天来算的话，一年就是360天，而你之前算日利率的时候是除以365，所以会导致算出来的结果不对。如果按照你的计算思路的话，每天的利率就应该是3/360，然后按照计算器的步骤算出天数后，除以30，也可以得到A选项的答案。

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NO.PZ2017092702000006 问题如下 For a lump sum investment of ¥250,000 investea stateannurate of 3% compounily, the number of months neeto grow the sum to ¥1,000,000 is closest to: A.555. B.563. C.576. A is correct. The effective annurate (EAR) is calculatefollows: E= (1 + Perioc interest rate)m – 1   E= (1 + 0.03/365)365 – 1   EAR= (1.03045) – 1 = 0.030453 ≈ 3.0453%. Solving for N on a financicalculator results in (where FV is future value anPV is present value): (1 + 0,030453）N = FVN/PV = (¥1,000,000/¥250,000）So,N = 46.21 years, whimultiplie12 to convert to months results in 554.5, or ≈ 555 months. 这题我EAR已经算出来是3.045，带入计算器知四求一不知道为什么算出来是46.21.

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