0.95 is lower than 1 /1.05. For this reason a 5% increase followed by a 5% decrease (or vice versa) results in a net decrease. *

In researching volatility drag, with respect to daily vs monthly ETF's (and levered vs unlevered ETF's) I am drawing near to the conclusion that the famous drag phenomenon might be due to a flaw in design rather than in execution. If you design a product to match *percentage* moves, you will induce drag.

The discussions I've read of this phenomenon all go too deep (AM-GM inequality, Jensen's inequality, geometric averaging, lognormal returns, ….) into maths to pick up what I think might be the root flaw of some of these 3rd-gen / 4th-gen ETP's.

* .95 and 1.05 aren't the best numbers to see the mismatch. 1 / 0.5 = 2, not 1.5.


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