WINWIN8 · 2019年09月04日
问题如下图：
选项：
A. 
B. 
C. 
解释：
老师，这题我有个疑问，按理twrr求的是几何平均，那两年的权重是一样的，然后mwrr是看现金流，那第二年的现金流入更多，权重更大，那么应该是mwrr比twrr大，但这题是twrr更大。 然后我做了计算，发现当第一年的return大于等于10%的时候，twrr就会比mwrr大，还有假设当第一年只投入5m，第二年就算投入100m，算出来也才8.29%， 所以说不能够只凭哪一年投入更多来判断他们哪个大，除非第一年收益为0，或者第一年收益比之后年份收益小很多，才能断定mwrr是比twrr大。 我这么理解对吧？
星星_品职助教 · 2019年09月04日
同学你好，
看了一下你的问题，已经思考的很深入了。MWRR的“现金流做权重”建议这么理解：
MWRR的现金流第一期为10，第二期为100，所以以现金流来衡量的权重是第二期大，而第二期对应的回报率是8%，所以“第二期权重大”的意思是MWRR的最终回报率跟14%和8%相比，是会向偏向于第二期的8%的，另一个角度理解就是一定小于8%和14%的中间值11%。（本题算出来是8.53%）。
因为TWR是几何平均算出来的，所以结果更接近14%和8%的中间值11%（本题中为10.96%）。
这是本题TWR大于MWRR的原因。
所以MWRR和TWR的比较，就要看MWRR的现金流权重偏向哪一期，最终MWRR（如果计算）的结果一定是贴近于权重大的那一期的回报率的。而TWR一定是近似于中间值的，就可以进行快速比较。
这种用现金流做权重的思维方式建议掌握，考试的时候如果遇到会很快的判断，加油啦
WINWIN8 · 2019年09月05日
好嘞 谢谢老师
姿姿不倦 · 2020年03月18日
MWRR 一定是偏向于现金流权重大的那一期的回报率的 ！
NO.PZ2017092702000030问题如下the beginning of Ye1, a funh$10 million unr management; it earns a return of 14% for the year. The funattracts another $100 million the start of Ye2 anearns a return of 8% for thyear. The money-weighterate of return is most likely:A.less ththe time-weighterate of return. B.the same the time-weighterate of return. C.greater ththe time-weighterate of return.A is correct. The money-weighterate of return is founsetting the present value (PV) of investments into the funequto the PV of the funs terminvalue. Because most of the investment came ring Ye2, the measure will biasetowarthe performanof Ye2. Set the PV of investments equto the PV of the funs terminvalue: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}10+1+r100=(1+r)210×1.14×1.08+100×1.08 Solving for r results in r = 8.53%. The time-weightereturn of the funis =(1.14)(1.08)2−1=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.962(1.14)(1.08)−1=10.96CF0 -10CF1 1.4-100CF2 100*0.08+10*0.08
NO.PZ2017092702000030 问题如下 the beginning of Ye1, a funh$10 million unr management; it earns a return of 14% for the year. The funattracts another $100 million the start of Ye2 anearns a return of 8% for thyear. The money-weighterate of return is most likely: A.less ththe time-weighterate of return. B.the same the time-weighterate of return. C.greater ththe time-weighterate of return. A is correct. The money-weighterate of return is founsetting the present value (PV) of investments into the funequto the PV of the funs terminvalue. Because most of the investment came ring Ye2, the measure will biasetowarthe performanof Ye2. Set the PV of investments equto the PV of the funs terminvalue: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}10+1+r100=(1+r)210×1.14×1.08+100×1.08 Solving for r results in r = 8.53%. The time-weightereturn of the funis =(1.14)(1.08)2−1=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.962(1.14)(1.08)−1=10.96
NO.PZ2017092702000030问题如下the beginning of Ye1, a funh$10 million unr management; it earns a return of 14% for the year. The funattracts another $100 million the start of Ye2 anearns a return of 8% for thyear. The money-weighterate of return is most likely:A.less ththe time-weighterate of return. B.the same the time-weighterate of return. C.greater ththe time-weighterate of return.A is correct. The money-weighterate of return is founsetting the present value (PV) of investments into the funequto the PV of the funs terminvalue. Because most of the investment came ring Ye2, the measure will biasetowarthe performanof Ye2. Set the PV of investments equto the PV of the funs terminvalue: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}10+1+r100=(1+r)210×1.14×1.08+100×1.08 Solving for r results in r = 8.53%. The time-weightereturn of the funis =(1.14)(1.08)2−1=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.962(1.14)(1.08)−1=10.96何老师讲到说，如果有aition, MWRR大于TWRR。我不太理解什么时候能用，也不明白为什么这道题不能用。
NO.PZ2017092702000030 问题如下 the beginning of Ye1, a funh$10 million unr management; it earns a return of 14% for the year. The funattracts another $100 million the start of Ye2 anearns a return of 8% for thyear. The money-weighterate of return is most likely: A.less ththe time-weighterate of return. B.the same the time-weighterate of return. C.greater ththe time-weighterate of return. A is correct. The money-weighterate of return is founsetting the present value (PV) of investments into the funequto the PV of the funs terminvalue. Because most of the investment came ring Ye2, the measure will biasetowarthe performanof Ye2. Set the PV of investments equto the PV of the funs terminvalue: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}10+1+r100=(1+r)210×1.14×1.08+100×1.08 Solving for r results in r = 8.53%. The time-weightereturn of the funis =(1.14)(1.08)2−1=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.962(1.14)(1.08)−1=10.96 一定要全部算出来吗
NO.PZ2017092702000030 问题如下 the beginning of Ye1, a funh$10 million unr management; it earns a return of 14% for the year. The funattracts another $100 million the start of Ye2 anearns a return of 8% for thyear. The money-weighterate of return is most likely: A.less ththe time-weighterate of return. B.the same the time-weighterate of return. C.greater ththe time-weighterate of return. A is correct. The money-weighterate of return is founsetting the present value (PV) of investments into the funequto the PV of the funs terminvalue. Because most of the investment came ring Ye2, the measure will biasetowarthe performanof Ye2. Set the PV of investments equto the PV of the funs terminvalue: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}10+1+r100=(1+r)210×1.14×1.08+100×1.08 Solving for r results in r = 8.53%. The time-weightereturn of the funis =(1.14)(1.08)2−1=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.962(1.14)(1.08)−1=10.96 不太理解mwrr 算法，可否详细一下？以及mwrr可否用计算器的第二行CF算，如果可以，如何输入呢？
