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啵啵啵啵啵啵儿儿 · 2020年05月30日

问一道题:NO.PZ2017092702000017

问题如下:

Given a stated annual interest rate of 6% compounded quarterly, the level amount that, deposited quarterly, will grow to £25,000 at the end of 10 years is closest to:

选项:

A.

£461.

B.

£474.

C.

£836.

解释:

A is correct.

To solve for an annuity (A) payment, when the future value (FV), interest rate, and number of periods is known, use the following equation:

lFV=A[(1+rsm)mN1rm]25,000=A[(1+0.064)4×1010.064]{l}FV=A{\lbrack\frac{{(1+\frac{r_s}m)}^{mN}-1}{\frac rm}\rbrack}\\25,000=A{\lbrack\frac{{(1+\frac{0.06}4)}^{4\times10}-1}{\frac{0.06}4}\rbrack}

A=460.68

老师,好:

这道题目说的是deposit quarterly,没说是季度出存,还是季度末存。答案里只有用后付年金算出的,没有先付年金的答案,所以可以选到对的答案。假如别的题目包含两个答案,就没法判断了,求解,谢谢。

3 个答案
已采纳答案

星星_品职助教 · 2020年05月30日

同学你好,

只要题干中没有明确提示用先付年金算,就都默认为后付年金。

星星_品职助教 · 2020年07月17日

回复:@_@

计算器步骤如下:

I/Y=6/4=1.5,N=10×4=40,PV=0,FV=25,000,CPT PMT=-460.67

@_@ · 2020年07月16日

老师,能把计算过程写出来看一看吗,答案没看懂

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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?

2023-07-20 19:25 1 · 回答

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2023-06-08 19:32 1 · 回答

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. 首先我理解的题目意思是6%年化,1年4次复利,得到EAR,然后在这个EAR水平下也进行每年复利4次,10年后得到25000刀,问每年存入多少钱

2022-08-22 16:02 1 · 回答

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2022-05-08 17:48 1 · 回答

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2021-11-16 20:38 1 · 回答