Frequency Analysis of CL

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From the Update 11/8/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 15 trading sessions.

Frequency Analysis based on Monthly Comb

Frequency Analysis based on Monthly Comb of Colgate-Palmolive Company

Short term fluctuations that seem to repeat with a regular frequency are often (even generally) seen in stock price charts. Through the years, technicians have expended much effort to measure and exploit these cycles. It would appear simple enough to do a frequency analysis on the time series. But the cycles or periods that seem so easy to see in the price data, have proven to be surprisingly difficult to measure by classical methods. The classical methods apply to stationary cycles of exactly regular period. We can easily remove the trends from historical price data to make the series stationary. However, attempts to exploit the market cycles are foiled by the deviation from strictly periodic behavior required by ordinary analysis.

One factor in the behaviour of market fluctuations is "Anticipation". When speculators detect a cycle in prices, they will buy earlier before the peak, and sell earlier before the dip. This phenomena causes an increase in frequency, and eventually a breakup of the established cycle. Traditional frequency analysis methods such as the Fourier Transform, break down badly attempting to deal with these irregularities.

Wilder estimated that there was an important period of about 28 trading sessions. The half cycle of this period (14 sessions) is a default factor in many of the technical indicators. We have found this to be a reasonable figure, even in today's markets, but there is significant variation between issues. Some companies just seem to have faster or slower cycles for one reason or another, and the indicators may be more accurate when fitted to the situation.

The paradoxical condition of variable length periods forces the adoptation of some new forms of analysis.




General Market Conditions

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Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 28.00
Sawtooth = 45.62
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.6729.0028.0011.90 %
Low16.5828.0027.007.61 %
Recent HighPriceRecent LowPrice Cycle
Thursday, October 28, 201074.9215
Monday, September 27, 201078.3943
Thursday, October 07, 201073.2426
Tuesday, July 27, 201084.0125
Tuesday, August 31, 201073.3344
Monday, June 21, 201080.0937
Tuesday, June 29, 201076.9720
Wednesday, April 28, 201083.8818


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
90.88
140.50
180.39
200.37
250.33
230.30
290.25
330.21
390.18
410.13
470.13



Frequency Analysis based on Quarterly Comb

CL:  Frequency Analysis based on Quarterly Comb

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 82.00
Sawtooth = 43.64
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High49.6481.0054.0019.70 %
Low46.3886.0063.0016.93 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, July 27, 201084.0180
Tuesday, June 01, 201075.9191
Thursday, April 01, 201084.1582
Wednesday, January 20, 201077.24219
Wednesday, December 02, 200984.1888
Monday, March 09, 200952.6858
Wednesday, July 29, 200973.55143
Thursday, December 11, 200855.6932


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
150.28
130.28
200.23
180.19
1020.17
250.17
230.17
470.16
290.15
530.13
950.13



Frequency Analysis based on Yearly Comb

CL:  Frequency Analysis based on Yearly Comb

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 50.89
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Wednesday, December 02, 200984.18308
Monday, October 27, 200852.081013
Friday, September 12, 200875.58171
Tuesday, October 19, 200437.38207
Wednesday, January 09, 200875.31735
Monday, December 22, 200342.08200
Monday, February 07, 200548.41193
Monday, March 10, 200341.53160


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
8195.59
5124.70
6834.41
5854.18
4553.00
142.06
4101.90
3721.65
2561.60
2161.56
2281.48




Breaking News:

In the news, Monday, November 15, 2010: A favorable condition has developed with Sprint Nextel Corporation, ticker symbol S. Also, there are breaking events concerning Abbott Laboratories (ABT) and Cree, Inc. (CREE)


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CL




Colgate-Palmolive Company












Average Sawtooth based on Monthly Combo

CL:  Average Sawtooth based on Monthly Combo

CL




Colgate-Palmolive Company









Average Sawtooth based on Bi-weekly Combo

Average Sawtooth based on Bi-weeklyly Combo of Colgate-Palmolive Company



A comparison of the average distance (in time) from each periodic high to to next periodic low, against the distance to the following high point, yields the Sawtooth Statistic. The mid-point, corresponding to a perfect sine wave, is 50 percent. Values less than this indicate the sell slope is steeper than the buy slope, while values over 50 percent show the opposite.

The Sawtooth Statistic gives a clue to the general mood of the markets, functioning as a sort of sentiment indicator. The chart represents the sawtooth percentage of (approximately) monthly cycles over the past year, and of the (approximately) bi-weekly cycles, averaged over the past six months.




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