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一朵红花 · 2017年10月16日

问一道题:NO.PZ2017092702000017

问题如下图:

    

选项:

A.

B.

C.

解释:


我用计算器计算,
N=40,
I/Y
=6,f'v=25000,pmt=0,求pv,为什么结果不对?

1 个答案

源_品职助教 · 2017年10月16日

I/Y不是6,是6除以4=1.5,因为是按季度计息。

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NO.PZ2017092702000017问题如下Given a stateannuinterest rate of 6% compounquarterly, the level amount that, positequarterly, will grow to £25,000 the enof 10 years is closest to:A.£461.B.£474.C.£836. A is correct. To solve for annuity (payment, when the future value (FV), interest rate, annumber of perio is known, use the following equation:lFV=A[(1+rsm)mN−1rm]25,000=A[(1+0.064)4×10−10.064]{l}FV=A{\lbrack\frac{{(1+\frac{r_s}m)}^{mN}-1}{\frrm}\rbrack}\\25,000=A{\lbrack\frac{{(1+\frac{0.06}4)}^{4\times10}-1}{\frac{0.06}4}\rbrack}lFV=A[mr​(1+mrs​​)mN−1​]25,000=A[40.06​(1+40.06​)4×10−1​]A=460.68计算器按法6%/4=1.5%。所以I/Y=1.5,N=10*4=40,FV=25000,PV=0,CPT PMT=-460.6775. 为什么I/Y用的不是EAR/4?

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