问一道题：NO.PZ2017092702000006 [ CFA I ]

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为什么换算成天数倒算不对？ 解释：

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菲菲_品职助教 · 2018年09月01日

同学你好，按照你的选项处理，你是把一个月当成30天来看，这样的话在你右边的式子中，就不应该是3%/365而应该是3%/360，这样的话代入进去A是最接近的。

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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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