Forum Discussion
Time Weighted Rate of Return using dates
- Jul 29, 2021
Just to clarify.... I was not suggesting any change in your format or frequency of data. It was not clear to me what problem you wanted to solve. So my intention was only to demonstrate the TWRR calculation. I should have made that clear the first time. Sorry.
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Re: ``I'm aiming to find a way to calculate it basically the same way my bank does``
To that end, it would be helpful to see what the "bank" calculates, and how it is reported.
Re: ``nor is my first language English, so there may have been some lost in translation``
I understand. And to make matters worse, IMHO, the financial community uses terminology that is misleading or confusing, even to a native English speaker.
That is why a concrete example of the actual calculations that you want to accomplish would be helpful.
I will try to keep my English as simple as possible. But my English is not so good either, being a born American (wink). So feel free to ask for clarification, as needed.
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Re: ``Correct me if I'm wrong, but if I want to use your provided formula - I need to extract the dates for deposits?``
Yes. The purpose of the TWRR is to reflect the true market rate of return, excluding "external factors" like deposits and withdrawals.
For example, if the ending balance was 100,000 yesterday, and the ending balance is 110,000 today because the market rate of return was 1% (1000) and we deposited 9000, we want the TWRR to be 1% (101000/100000 - 1), not 10% (110000/100000 - 1).
Suppose 6 days later, the ending balance is 120,000 because the market rate of return over that period was again 1% (1100) and we deposited 8900 on the last day. Again, we want the TWRR for that period to be 1% (111100/110000 - 1), not 9.09% (120000/110000 - 1).
And the cumulative market rate of return and TWRR for the total of 7 days is (1+1%)*(1+1%) - 1 = 2.01%, not 120000/100000 - 1 = 20%.
With that in mind, see the attached Excel file.
The TWRR in column E is the __cumulative__ market rate of return.As a proof of concept, see the periodic market rate of return and the cumulative market rate of return that are calculated in columns G and H.
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If the cumulative period is a year or less, investment firms report the cumulative TWRR.
But if the cumulative period is more than a year, investment firms report the average compounded annual TWRR, which might be calculated by (1+cumTWRR)^(days/365) - 1.
I myself have limited or no idea about the subject.
I can still add up my capital in my head ... is no more than my trouser pocket can carry :))).
Whatever the case, here is a link with very good information and possibilities with examples.
Time Weighted vs. Money Weighted Returns
Capital-weighted return, also: money-weighted return, internal rate of return (IZF), internal rate of return (IRR)
Time-weighted rate of return, also: time-weighted rate of return (TWROR) or true time-weighted rate of return (TTWROR)
Additional formula:
The formula for calculating the absolute interest income (in euros) for every deposit / withdrawal:
Interest income = B13 * POWER ((1 + $ G $ 3), E13) -B13
In which:
B13 = capital inflow / withdrawn on day X in €
$ G $ 3 = assumed (accumulated) annual interest rate in%
E13 = years since capital was used / withdrawn
I would be happy to know if I could help.
Nikolino
I know I don't know anything (Socrates)
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- QWeelonJul 29, 2021Brass Contributor
Thank you for your time and input. I had already looked at similiar sites but without success. The issue for me is that my time periods are not set and more arbitrary. Deposits are not necessarily at set dates and some months there may be no deposits, or even two.
My thought is that I should incorporate the lapsed time each time and work in increments, but I'm not sure how to do it. My tries were unsuccessfull.
/Q