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Feeling · 2023年08月23日

TWR的算法

NO.PZ2022010501000004

问题如下:

Use the information in the following table to answer this question (amounts in €):


Calculate the rate of return for this portfolio for January, February, March, and the first quarter of 2019 using revaluing for large cash flows methodology (assume “large” is defined as greater than 5%).

选项:

解释:

January:

RJan= (208,000 − 200,000)/200,000 = 4.00%

February:

RFeb1- 15 = (217,000 − 208,000)/208,000 = 4.33%

RFeb16- 28= (263,000 − 257,000)/257,000 = 2.33%

RFeb1-28 = [(1 + 0.0433) × (1 + 0.0233)] − 1 = 6.76%

March:

RMar1- 21 == (270,000 − 263,000)/263,000 = 2.66%

RMar22- 31= (245,000 − 240,000)/240,000 = 2.08%

RMar1- 31= [(1 + 0.0266) × (1 + 0.0208)] − 1 = 4.80%

Quarter 1:

RQT1 = [(1 + 0.0400) × (1 + 0.0676) × (1 + 0.0480)] − 1 = 16.36%

请问老师,Feb 16-28 0f return = (263000-40000-217000)/217000-1=2.76%,这样算为什么不对?书上的例题也是这样算的呀



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已采纳答案

伯恩_品职助教 · 2023年08月24日

嗨,爱思考的PZer你好:


请问这样的总结是否正确: 一般都用TWR来算,除非manager能控制cashflow,那么就用MRR。 TWR是每月至少算一次,是将本月ME做Vt、上月ME做V0。如果有large cashflow,还需要算sub-period,是将large cashflow之前的fair value作为Vt去除以上个月ME(或者上次large cashflow之后的fair value)。——对的

如果有小幅cash flow,可以用modified dietz。不需要算sub-period,分子是Vt-cashflow-V0,分母考虑cashflow的时间加权。——对的

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努力的时光都是限量版,加油!

伯恩_品职助教 · 2023年08月23日

嗨,从没放弃的小努力你好:


同学你好,你的分子是对的,分母,你看下例题是 V0,也就是8月31日的净值,100,000。

所以课后题,Feb 16-28 0f return 的分母也要是FEB 16日的净值,而且一定要是流入资金后的净值。因为2月16日到2月28日之间的期初就是2月16日的净值,一定是最终的净值(即所有的改变后的净值,比如流入流出后的)。因为2月16日到2月28日实际就是257,000增长到263000,而不是217000增长到263000

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Feeling · 2023年08月24日

如果有小幅cash flow,可以用modified dietz。不需要算sub-period,分子是Vt-cashflow-V0,分母考虑cashflow的时间加权。

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