Encyclopedia of Chart Patterns. Thomas N. Bulkowski

Figure 11.4 Price in this broadening top moved horizontally for 6 months before staging an upward breakout. This horizontal movement is a common occurrence with broadening tops.

Table 11.2 General Statistics

Description	Bull Market, Up Breakout	Bear Market, Up Breakout	Bull Market, Down Breakout	Bear Market, Down Breakout
Number found	1,215	200	804	205
Reversal (R), continuation (C) occurrence	100% C	100% C	100% R	100% R
Average rise or decline	42%	25%	–13%	–22%
Standard & Poor's 500 change	12%	–1%	–2%	–11%
Days to ultimate high or low	253	91	56	37
How many change trend?	52%	41%	23%	45%

Statistics

Table 11.2 shows general statistics for this chart pattern.

      Number found. I uncovered 2,424 broadening tops in data from July 1991 to November 2019 in 873 stocks. Not all stocks covered the entire time, and some of them no longer trade.

Reversal (R), continuation (C) occurrence. By definition, since we are dealing with a top, an upward breakout is a continuation and a downward breakout means a reversal of the prevailing upward trend.

      Average rise or decline. I compared the average rise or decline with the average for all chart pattern types and found that the broadening top underperforms in all market conditions (bull/bear) and breakout directions, despite what you see in the table.

      Standard & Poor's 500 change. Notice how the general market helped or hindered price. The numbers, when compared to the average rise or decline, suggest trading with the market trend (bull market, upward breakouts and bear market, downward breakouts) for the best performance. This makes intuitive sense.

      Days to ultimate high or low. The time it takes price to rise to the ultimate high or sink to the ultimate low varies from 253 days (about 8.5 months) to 37 (5 weeks).

      I compared the average speed of price for upward versus downward breakouts in bull markets. The decline should have taken 79 days, but the average is 56 as shown in the table. Thus, price drops faster than it rises. In this case, it's not quite twice as fast (which is what I've seen in other chart pattern types).

      Comparing the two bear market columns, we see price rise 25% in 91 days and drop 22% in 37 days. If price dropped as fast as it climbed, it should have taken 80 days to drop 22%. In this case, price drops more than twice as fast in bear markets as it rises.

      How many change trend? This is a measure of how many broadening tops see price move more than 20% away from the breakout price. I like to see values above 50%, but only one of the columns qualifies.

      Table 11.3 shows failure rates for broadening tops. I found that 18% of broadening tops in bull markets after upward breakouts fail to see price rise more than 5%. That's how you read the table.

      Here's another example. Just over half (52%) of patterns in bull markets with downward breakouts fail to see price drop more than 10%. Notice how quickly failure rates increase.

      Bear markets with downward breakouts have the lowest failure rate initially, 9%, but the edge over bull markets with up breakouts does not last long. For moves of 15% and higher, bull markets with upward breakouts maintain a lower failure rate.

      How is this information useful? Imagine that the measure rule predicts price will climb from 40 to 50, a 10‐point rise. That's a move of 25%. How many broadening tops in bull markets, on average, will see price rise more than 25%? Answer: 46%. To put it another way, 54% of them will fail to see price rise more than 25%.

      Table 11.4 shows breakout‐related statistics for broadening tops.

      Breakout direction. In bull markets, price breaks out upward most often. In bear markets, the breakout direction is random.

Table 11.3 Cumulative Failure Rates

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Maximum Price Rise or Decline (%)	Bull Market, Up Breakout	Bear Market, Up Breakout	Bull Market, Down Breakout	Bear Market, Down Breakout
5 (breakeven)	219 or 18%	35 or 18%	219 or 27%	19 or 9%
10	160 or 31%	31 or 33%	196 or 52%	30 or 24%
15	119 or 41%	24 or 45%	125 or 67%	39 or 43%
20	81 or 48%	28 or 59%	83 or 77%	25 or 55%
25	78 or 54%	22 or 70%	60 or 85%	27 or 68%
30	62 or 59%	10 or 75%	40 or 90%	16 or 76%
35	62 or 64%	9 or 80%	26 or 93%	13 or 82%
50	121 or 74%	19 or 89%	45 or 99%	28 or 96%
75	122 or 84%	10 or 94%	9 or 100%	5 or 99%
Over 75	191 or 100%	12 or 100%	1 or 100%	3 or 100%