you can see at a glance that the Vortex Method is a Ratio Trading System
and the Buying and the Selling have the general mathematical form of
Buying: . . . y=Ab*x Selling:. . . y=As*x
Considering that for Case 1 the PC is being Updated by each Buy" and for Case 2 it is not, then you need to consider that in Vortex AIM the Ratio System retains the same Trading Ratio based on an equity price change, so that raising the PC to the new equity value V(new) after a trade, in Case 1, does not change the trading Rates, which are defined by the Constants Ab and As. After each trade the PC(new)= V(new).
For this reason the accumulation of Step-wise Buys in Case 1 results in the same Total Buy Amount for a single large Buy in Case 2, as long as the price changes remain identical for both cases
For Vortex Case 1 and Case 2 of my Ocroft Method Options are Identical.
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