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Jine · 2019年11月19日

问一道题:NO.PZ2017092702000010

问题如下:

A saver deposits the following amounts in an account paying a stated annual rate of 4%, compounded semiannually:

At the end of Year 4, the value of the account is closest to:

选项:

A.

$30,432

B.

$30,447

C.

$31,677

解释:

B is correct.

To solve for the future value of unequal cash flows, compute the future value of each payment as of Year 4 at the semiannual rate of 2%, and then sum the individual future values, as follows:

Factor是指什么?能麻烦老师解答一下吗?谢谢

1 个答案

星星_品职助教 · 2019年11月19日

同学你好,

factor就是乘数,或者复利因子的意思。例如答案解析表格的year 1那行,factor是1.02^6。意思就是4000如果按2%复利6次,结果就是4000*1.02^6.

但一般的fator往往不会这么写,而是表格里会直接写成F(6)=1.1262。这样就可以知道4000复利6次后,不用管利率,也不用写复利的公式,可以直接代入 4000*F(6)。这样可以省去计算复利的过程。但这个点在一级里应用非常少,主要还是在二级的固收和衍生品里应用。

对于这道题,只需要知道factor就是底下对应的复利就可以了,加油

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