Derive TRIN from two ratios
Fidelity and TD describe the Arms Index as an issue ratio divided by a volume ratio. Let A and D be issue counts, with AV and DV their aggregate volumes. For strictly positive inputs, the same formula can be rearranged as (DV / D) / (AV / A). This shows why the reading compares average volume per declining issue with average volume per advancing issue.
- Record how the provider defines an advance or decline, including its reference price. Unchanged issues do not belong in either side of this formula.
- Keep volume units consistent. Millions of shares divided by millions of shares is valid; shares divided by dollars measures something else.
- The average-volume interpretation is an algebraic consequence of the formula. It does not mean that every advancing or declining issue traded the same volume.
| Input or calculation | Definition | Required match |
|---|---|---|
| A | Number of advancing issues | Same eligible universe as AV |
| D | Number of declining issues | Same eligible universe as DV |
| AV | Total volume of advancing issues | Same units and interval as DV |
| DV | Total volume of declining issues | Same units and interval as AV |
| Issue ratio | A / D | Both counts from one observation |
| Volume ratio | AV / DV | Both totals from that observation |
| TRIN | (A / D) / (AV / DV) | Dimensionless ratio |