Sunday, April 21, 2019

variance - What is the difference between overlapping and non overlapping returns




My prof asked me to make an Variance-Ratio test for overlapping as well as for non-overlapping returns.


What is the difference between overlapping and non-overlapping?



Answer



An example of non-overlapping one month returns: the return in January, the return in February, the return in March, etc.


An example of overlapping 30 day returns: the return from January 1 to January 30, the return from January 2 to January 31, the return from January 3 to February 1, the return from January 4 to February 2, and so on.


There are far fewer non-overlapping returns than overlapping returns. The non-overlapping returns are statistically independent of each other, the overlapping are not. If you are going to use overlapping returns you must use specific statistical procedures that are designed to take the dependencies into account.


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