Mapping industrial-average swings with Fibonacci growth and retracements

Editorial framing

Editorial framing: TradersWeek reads this multi-decade industrial-average history as a classroom lab. The archive records the historical workflow only. First, successive advances are locked to Fibonacci growth multiples. Next, Elliott-wave time equality and Fibonacci retracements at 38.2 percent and 61.8 percent are tested against the same numbered support-and-resistance map so later swings can be scored as hits or misses.

Ratio identities

The Fibonacci sequence is additive, and the ratio of successive terms approaches approximately 1.618. Each term is the sum of the two preceding terms, and successive-term ratios converge toward that limit. The analysis uses 0.618 as the inverse of 1.618, 0.382 as the alternate-number relationship, and the identities 0.382 + 0.618 = 1 and 0.618 × 0.618 = 0.382.

The 1932-1937 base

From the July 1932 low to the March 1937 high, both a theoretical extreme and a closing figure are kept. The theoretical low is 40.56 and the close is 41.22. The theoretical high is 195.59 and the close is 194.40. A theoretical extreme reconstructs a high or low by summing each component stock's own extreme. The index almost never prints that figure because the components do not peak or trough together. Theoretical and closing percentage gains of 382 percent and 372 percent were averaged to about 377 percent, matching a Fibonacci term.

A later growth-stage multiple

After a decline of more than 50 percent into April 1942, the advance into February 1966 was labeled near 987 percent. That label is an alternate Fibonacci step described as 2.618 times the 1932-1937 stage, a growth-stage multiple. A closing-basis 2.618 projection of 996.8 compared with the February 1966 close of 995.15.

Projections from the 1974 low

After a 45 percent decline from January 1973 to December 1974, a 1,597 percent growth factor from the December 1974 theoretical low of 570.01 projected a theoretical high of 9673, with hourly and closing companions of 9710 and 9842. Those figures were framed as support and resistance near 9600-9800, a testable ceiling because a growth projection lands there, against a late-April 1998 print extreme of 9213.

Multiplying the 371.6 percent 1932-1937 closing advance by 4.236 produced a 1,574 percent factor that, applied to the 6 December 1974 close of 577.60, projected a closing high of 9669.

Elliott-wave time equality

Elliott-wave time comparison treated the 1942-1966 advance of 23 years, 9 months, and 12 days as a duration that, added to late-1974 lows, projected 1998 timing windows around 16 July and 21 September. In this price-and-time framework, two of three advancing waves can have similar duration.

The 1987 Fibonacci retracement

The 20 October 1987 print extreme of 1706.9 retraced 38.2024 percent of the 1932-1987 advance from the 41.22 close, or 38.1931 percent from the 40.56 theoretical low, versus the alternate Fibonacci ratio 0.381966. A print extreme is the index level actually reached at a moment during the session.

The 1987 decline removed about 37 percent of value from the 25 August print extreme of 2736.6. The 1987 low was then treated as long-term support, with 38.2 percent and 61.8 percent Fibonacci retracements of the post-1987 advance marked if price later reached the 9600-9800 zone.