Periodic Frequencies for BRKR

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From the Update 11/5/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 9 trading sessions.

Frequency Analysis based on Monthly Comb

BRKR:  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

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More than 70 Hi-Rez charts daily for Bruker Corporation:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 30.00
Sawtooth = 51.72
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.4430.0040.0026.77 %
Low17.0725.0019.0028.27 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 201011.8931
Wednesday, August 04, 201013.7632
Monday, July 19, 201010.8828
Friday, June 18, 201013.7642
Tuesday, June 08, 201011.9741
Tuesday, April 20, 201015.5668
Friday, April 09, 201014.4814
Monday, January 11, 201013.8730


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
120.44
170.44
140.41
200.27
270.23
240.21
320.18
370.16
340.14
440.14
1200.13



Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Bruker Corporation

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 56.62
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High49.67113.000.0050.84 %
Low48.2067.000.0057.54 %
Recent HighPriceRecent LowPrice Cycle
Monday, July 19, 201010.88204
Tuesday, April 20, 201015.5668
Monday, January 11, 201013.87341
Thursday, September 24, 20099.39144
Monday, March 02, 20093.5832
Wednesday, September 03, 200816.91113
Tuesday, January 13, 20093.3535
Tuesday, March 25, 200816.3357


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
90.34
1860.26
110.24
170.23
1200.22
640.16
590.15
240.14
200.14
1370.13
710.13



Frequency Analysis based on Yearly Comb

BRKR:  Frequency Analysis based on Yearly Comb

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 0.00
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, April 20, 201015.56409
Tuesday, January 13, 20093.35360
Wednesday, September 03, 200816.91340
Thursday, August 09, 20076.44690
Monday, April 30, 200711.51824
Wednesday, November 10, 20043.05421
Tuesday, January 20, 20046.68135
Wednesday, March 12, 20032.60145


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
5122.02
6831.81
4101.22
2930.86
3410.57
1200.55
2560.55
1860.54
1280.52
1710.49
110.43




Breaking News:

Friday, November 12, 2010: We have news on Cree, Inc., ticker symbol CREE. Signs of an over-bought condition have become noticable. Also, there are breaking events concerning Intel and PetSmart, Inc.

From the News Archive: (11/11/2010 ) Favorable events happened at Exxon Mobil, Ingersoll-Rand Company Limited, and Concur Technologies, Inc.. Meanwhile, bad news came from International Game Technology.



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BRKR




Bruker Corporation












Average Sawtooth based on Monthly Combo

BRKR:  Average Sawtooth based on Monthly Combo

BRKR




Bruker Corporation









Average Sawtooth based on Bi-weekly Combo

Average Sawtooth based on Bi-weeklyly Combo of Bruker Corporation



Comparing the length of time from high points to successive lowpoints, against the corresponding time span from the lows to the following periodic highs, gives us the Sawtooth Indicator. 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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