开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)｜3.2.5(安卓)APP下载

返回

灰飞翔的猫 · 2025年01月26日

price weighted和equal weighted index

  1. CFA I
  2. Equity

NO.PZ2023040301000070

问题如下：

An analyst gathers the following information for an equal-weighted index comprised of assets Able, Baker, and Charlie:

The total return of the index is:

选项：

A.

5.0%

B.

7.9%

C.

11.4%

解释：

The total return of an index is calculated on the basis of the change in price of the underlying securities plus the sum of income received or the sum of the weighted total returns of each security. The total return of Able is 27.5 percent; of Baker is 0 percent; and of Charlie is 6.7 percent:

Able: (12 — 10 + 0.75)/10 = 27.5%

Baker: (19 — 20 + 1)/20 = 0%

Charlie: (30 — 30 + 2)/30 = 6.7%

An equal-weighted index applies the same weight (1/3) to each security's return; therefore, the total return = 1/3 X (27.5% + 0% + 6.7%) = 11.4%.

为什么这两种指数算return一个是期初期末价格相减除以期初直接求return，而另一个却要一个一个算然后求平均？老是搞不清楚。还有就是市值加权指数的return是和价格加权一样的对吧？

添加评论
2 个答案

王园圆_品职助教 · 2025年01月26日

“市值加权指数的return是和价格加权一样的对吧？”——不一样，market capitalization既然是用市值做为权重的，return肯定和price weighted不一样

market capitalization必须分别求出期初所有股票的市值之和，和期末所有股票的市值之和，然后用（期末总市值-期初总市值）/期初总市值 来求解return

王园圆_品职助教 · 2025年01月26日

同学你好， 每个指数求return的方式跟这个指数的权重构建方式是高度相关的，如果你记不住，可以把三个指数的定义记清楚，这样就不会搞混了

price weighted是以价格为权重，所以期初这个指数的value 就等于期初每个股票各买一股时所有股票价格之和，期末value就等于所有股票期末价格之和，然后price weighted index的price return = （期末value - 期初value）/期初value

equal weighted 是指每个股票买相同的金额，所以期初的指数value很好求，就是假设每个股票都买100，那期初value= 100*股票数，问题是期末指数value怎么求，那就需要知道期初每个股票买了多少股。也就是100/期初该股票的股价。然后用这个股数*期末的股价，才能得到期末的这个股票在指数中的价值。。。具体以下截图是equal weighted指数为什么要一个一个股票算return然后求平均return的原理推导，你可以看下就会更清楚了


  • 2

    回答

  • 0

    关注

  • 5

    浏览
相关问题

NO.PZ2023040301000070 问题如下 analyst gathers the following information for equal-weighteinx compriseof assets Able, Baker, anCharlie:The totreturn of the inx is: A.5.0% B.7.9% C.11.4% The totreturn of inx is calculateon the basis of the change in priof the unrlying securities plus the sum of income receiveor the sum of the weightetotreturns of easecurity. The totreturn of Able is 27.5 percent; of Baker is 0 percent; anof Charlie is 6.7 percent:Able: (12 — 10 + 0.75)/10 = 27.5%Baker: (19 — 20 + 1)/20 = 0%Charlie: (30 — 30 + 2)/30 = 6.7%equal-weighteinx applies the same weight (1/3) to easecurity's return; therefore, the totreturn = 1/3 X (27.5% + 0% + 6.7%) = 11.4%. 印象中不同inx计算方法，有的要区分totreturn和和剔除vinreturn。请问哪些加权方法要考虑vin哪些不用？

2025-01-10 15:35 2 · 回答

NO.PZ2023040301000070问题如下 analyst gathers the following information for equal-weighteinx compriseof assets Able, Baker, anCharlie:The totreturn of the inx is: A.5.0%B.7.9%C.11.4% The totreturn of inx is calculateon the basis of the change in priof the unrlying securities plus the sum of income receiveor the sum of the weightetotreturns of easecurity. The totreturn of Able is 27.5 percent; of Baker is 0 percent; anof Charlie is 6.7 percent:Able: (12 — 10 + 0.75)/10 = 27.5%Baker: (19 — 20 + 1)/20 = 0%Charlie: (30 — 30 + 2)/30 = 6.7%equal-weighteinx applies the same weight (1/3) to easecurity's return; therefore, the totreturn = 1/3 X (27.5% + 0% + 6.7%) = 11.4%. price- weigh可以每个公司的return分别计算出来除以3吗

2024-08-10 23:38 1 · 回答

NO.PZ2023040301000070问题如下 analyst gathers the following information for equal-weighteinx compriseof assets Able, Baker, anCharlie:The totreturn of the inx is: A.5.0%B.7.9%C.11.4% The totreturn of inx is calculateon the basis of the change in priof the unrlying securities plus the sum of income receiveor the sum of the weightetotreturns of easecurity. The totreturn of Able is 27.5 percent; of Baker is 0 percent; anof Charlie is 6.7 percent:Able: (12 — 10 + 0.75)/10 = 27.5%Baker: (19 — 20 + 1)/20 = 0%Charlie: (30 — 30 + 2)/30 = 6.7%equal-weighteinx applies the same weight (1/3) to easecurity's return; therefore, the totreturn = 1/3 X (27.5% + 0% + 6.7%) = 11.4%. 什么样的指数计算权重时可以先加总再计算return？

2024-08-08 17:18 1 · 回答

NO.PZ2023040301000070 问题如下 analyst gathers the following information for equal-weighteinx compriseof assets Able, Baker, anCharlie:The totreturn of the inx is: A.5.0% B.7.9% C.11.4% The totreturn of inx is calculateon the basis of the change in priof the unrlying securities plus the sum of income receiveor the sum of the weightetotreturns of easecurity. The totreturn of Able is 27.5 percent; of Baker is 0 percent; anof Charlie is 6.7 percent:Able: (12 — 10 + 0.75)/10 = 27.5%Baker: (19 — 20 + 1)/20 = 0%Charlie: (30 — 30 + 2)/30 = 6.7%equal-weighteinx applies the same weight (1/3) to easecurity's return; therefore, the totreturn = 1/3 X (27.5% + 0% + 6.7%) = 11.4%. 一点都没搞懂，所以算totreturn不可以全部加总，得先一个一个算完了再加总相除？

2023-10-05 06:05 1 · 回答