There is a mathematical property of the forex market that most retail traders never consider.
When measured correctly, all 8 major currencies always sum to exactly zero.
This is not a philosophical statement. It is arithmetic.
If you calculate the daily pip change for each of the 8 major currencies
(EUR, GBP, AUD, NZD, USD, CAD, CHF, JPY)
using a geometric mean basket of their 7 counterpart pairs, the sum of all 8 values is always zero.
Every single day, without exception.
The implication is significant. Currency strength is not absolute — it is relative.
When a trader says "USD is strong today", the correct response is "strong relative to whom?"
The answer is visible in the other 7 baskets. USD gaining 250 pips means exactly 250 pips of weakness distributed across the other 7 currencies.
This transforms how you select pairs. Instead of analyzing 28 charts looking for setups, you analyze 8 basket values,
identify the strongest and weakest, and trade the pair that connects them.
The pair selection becomes mathematical rather than intuitive.
For developers interested in implementing this: the key insight is that the geometric mean of all 28 major pairs,
grouped by currency, creates a closed system. The proof is straightforward — each pair appears exactly once as a numerator (base currency basket)
and once as a denominator (quote currency basket), so the product of all 8 indices equals 1, and the log-sum equals 0.


