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bill007 · 2022年03月15日

老师好,我用这种方法解答的话是错在哪里?

NO.PZ2018062016000093

问题如下:

The stocks of AAA company have a changing closing price over the last 3 month:

From May to July, the continuously compounded return of AAA company's stocks is:

选项:

A.

18.61%

B.

17.34%

C.

16.89%

解释:

A is correct. Based on definition, for a certain period, the continuously compounded return = the natural log of the period’s change. So we can calculate that: ln(159/132) = 18.61%

我用期初132及期末159,计算出r为20.4545%,然后用e^r-1来计算连续复利的利率,最终得不到选项答案,我是把哪个定义搞错了吗?

1 个答案

星星_品职助教 · 2022年03月16日

同学你好,

1)“用期初132及期末159,计算出r为20.4545%”这里算出的r是持有期收益率(HPR)。并不是本题要求的“continuously compounded return”。

2)e^r-1 是将stated annual rate(即r)转化为EAR的方法,本题也不涉及EAR。

3)这道题考察的是公式:continuously compounded return = LN(End price / beginning price),直接代入期初132和期末159即可得到答案。

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NO.PZ2018062016000093问题如下 The stocks of Acompany have a changing closing priover the last 3 month:From Mto July, the continuously compounreturn of Acompany's stocks is:A.18.61%B.17.34%C.16.89%A is correct. Baseon finition, for a certain perio the continuously compounreturn = the naturlog of the perios change. So we ccalculate that: ln(159/132) = 18.61%1.ppt上的s1/s0=eʳ,但是这里是只有三个月而不是一年,为什么eʳ不用总体再1/4次方(即三个月),r是年名义利率(投资率)2.题目所求的continuously compounng rate翻译成中文是求什么?

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