Hello,
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I am using the quickbooks online. Thanks.

I have an index and it is only published quarterly. I want to change it to monthly data.  I did the to the power 1/3 so each month in the quarter has the same return and it produces the same return as the quarter. This causes correlation problems with other indices which has monthly data.

Index 1 (Quarterly Data)
Index 2 (Monthly Data)

Index 1
Quarterly Return 0.48%

Index 2
June -6.71%
July 1.29%
August 2.65%
Which bring this quarterly return to -3.00%.

When I am converting Index 1 to monthly data , i would like to use Index 2 as a guidance.  So, it needs to weighted using the Index 2 data when making Index 1 monthly.

I tried the following.

For June Index 2 x1 = (1+ -6.71%)/(1+ 3%) - 1
For July Index 2 x2 =(1+ 1.29%)/(1+ 3%) - 1
For August Index 3 x3 = (1+ 2.65%)/(1+ 3%) - 1

For June Index 1  y1= (x1/(x1+x2+x3)) * 0.48%        (0.48% is the quarterly return for Index 1)
For July Index 1 y2= (x2/(x1+x2+x3)) * 0.48%        (0.48% is the quarterly return for Index 1)
For August Index 1  y3= (x3/(x1+x2+x3)) * 0.48%        (0.48% is the quarterly return for Index 1)

Then when I compound (1+y1)(1*y2)(1*y3) - 1 = 0.48% So it worked for this quarter.

It works great for some quarters but it doesn't work for some quarters. In some quarters, when I compound y1 y2 y3, i get a number very different from the actual quarterly data for Index 1.  Please see the attached file for the excel file. It has the calculations.
example-data.xlsx

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