Frequency Analysis of FLS

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From the Update 11/9/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 17 trading sessions.

Frequency Analysis based on Monthly Comb

Frequency Analysis based on Monthly Comb of Flowserve Corporation

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.

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




General Market Conditions

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

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 32.00
Sawtooth = 51.40
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.6831.0024.0017.45 %
Low16.5232.0013.0016.65 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 201089.1443
Wednesday, August 04, 2010103.5735
Wednesday, June 30, 201084.5716
Tuesday, June 15, 201095.0132
Tuesday, June 08, 201082.5255
Thursday, April 29, 2010118.2175
Friday, March 19, 2010103.6634
Monday, January 11, 2010107.4737


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
110.61
140.47
160.45
190.38
240.31
220.31
260.29
370.21
410.21
290.19
330.15



Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Flowserve Corporation

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 80.00
Sawtooth = 47.51
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High50.9480.0057.0020.73 %
Low46.0080.0066.0025.75 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 201089.1459
Thursday, April 29, 2010118.2175
Tuesday, June 08, 201082.5289
Monday, January 11, 2010107.4737
Friday, January 29, 201089.3933
Monday, November 16, 2009105.81109
Thursday, December 10, 200993.58110
Friday, June 12, 200982.92109


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
170.24
200.20
1460.16
240.16
410.16
370.15
1240.14
1520.14
340.14
1950.13
260.13



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Flowserve Corporation

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 52.51
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Thursday, April 29, 2010118.21447
Thursday, November 20, 200836.89545
Monday, July 21, 2008137.17552
Friday, September 22, 200645.84995
Wednesday, May 10, 200658.21662
Thursday, October 10, 20027.57264
Tuesday, September 23, 200321.68351
Friday, September 21, 200118.52382


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
51210.32
5858.13
76.63
4556.56
6836.48
8194.40
2564.37
2933.94
2733.78
4103.71
1952.74




Breaking News:

Monday, November 15, 2010: We have news on PG&E Corporation, ticker symbol PCG. A significant moving average event has happened. Also, there are breaking events concerning Cree, Inc. and Abbott Laboratories.

From the News Archive: (11/12/2010 ) A favorable event happened at PetSmart, Inc. Meanwhile, bad news came from Intel, Chesapeake Energy Corporation, and JP Morgan Chase.



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FLS




Flowserve Corporation












Average Sawtooth based on Monthly Combo

Average Sawtooth based on Monthly Combo of Flowserve Corporation

FLS




Flowserve Corporation









Average Sawtooth based on Bi-weekly Combo

FLS:  Average Sawtooth based on Bi-weeklyly Combo



The Sawtooth statistic measures the time from each periodic high to the next periodic low, in comparison to the time from that low to the next high point . 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.

This is supposed to indicate the degree of fear or greed. 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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