Periodic Frequencies for MKTAY

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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 13 trading sessions.

Frequency Analysis based on Monthly Comb

MKTAY:  Frequency Analysis based on Monthly Comb

Even a casual examination of historical price lines seems to reveal cycles or regular short term fluctuations that continue repeating. 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.

New methods had to be invented to deal with the seeming mathematical absurdity in the notion of non-periodic cycles.

General Market Conditions


More than 70 Hi-Rez charts daily for Makita Corp.:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 21.00
Sawtooth = 51.61
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.6130.0021.0014.28 %
Low17.2329.0018.0014.37 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 24, 201028.4617
Monday, July 26, 201031.3127
Friday, July 30, 201028.1621
Wednesday, June 16, 201029.7452
Wednesday, June 30, 201026.6624
Thursday, April 01, 201034.6814
Wednesday, May 26, 201026.5158
Friday, March 12, 201033.9537

Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude

Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Makita Corp.

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 61.00
Sawtooth = 51.68
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High48.9483.0061.0023.10 %
Low51.8678.0053.0024.01 %
Recent HighPriceRecent LowPrice Cycle
Monday, July 26, 201031.3179
Wednesday, May 26, 201026.5175
Thursday, April 01, 201034.6872
Monday, February 08, 201031.56145
Wednesday, December 16, 200937.5341
Monday, July 13, 200921.45116
Monday, October 19, 200935.7292
Monday, January 26, 200918.0061

Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude

Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Makita Corp.

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 58.36
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0. %
Low0. %
Recent HighPriceRecent LowPrice Cycle
Wednesday, December 16, 200937.53534
Monday, October 27, 200812.721523
Friday, November 02, 200750.60373
Wednesday, October 09, 20025.06167
Thursday, May 11, 200633.711023
Monday, February 11, 20024.51748
Friday, April 19, 20026.49672
Thursday, February 18, 19997.94290

Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude

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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Makita Corp.

Average Sawtooth based on Monthly Combo

MKTAY:  Average Sawtooth based on Monthly Combo


Makita Corp.

Average Sawtooth based on Bi-weekly Combo

MKTAY:  Average Sawtooth based on Bi-weeklyly Combo

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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Detailed Oscillator Level Analysis for MKTAY :

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