Frequency Analysis of PLL

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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 20 trading sessions.

Frequency Analysis based on Monthly Comb

Frequency Analysis based on Monthly Comb of Pall 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 Pall Corporation:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 33.00
Sawtooth = 50.65
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High17.0332.0034.0011.22 %
Low17.5428.0021.0012.05 %
Recent HighPriceRecent LowPrice Cycle
Wednesday, October 13, 201044.2251
Tuesday, August 31, 201034.0641
Monday, August 02, 201038.6233
Friday, July 02, 201033.2818
Tuesday, June 15, 201037.2835
Tuesday, June 08, 201031.9858
Monday, April 26, 201040.3414
Tuesday, March 16, 201037.7525


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
200.41
230.35
270.34
380.18
340.17
440.16
320.13
530.13
410.13
510.12
590.12



Frequency Analysis based on Quarterly Comb

PLL:  Frequency Analysis based on Quarterly Comb

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 82.00
Sawtooth = 51.99
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High48.2769.0044.0018.32 %
Low47.1882.0074.0013.30 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 201034.0659
Friday, March 05, 201040.82113
Tuesday, June 08, 201031.9883
Tuesday, September 22, 200933.48181
Monday, February 08, 201033.1040
Friday, January 02, 200927.8496
Wednesday, December 09, 200930.87189
Friday, August 15, 200840.4143


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
200.23
230.20
270.16
400.14
800.14
1460.14
380.14
510.13
1780.13
470.13
580.12



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Pall Corporation

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 52.59
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Friday, March 05, 201040.82433
Thursday, March 12, 200918.23282
Monday, June 16, 200840.84233
Tuesday, January 29, 200833.02369
Friday, July 13, 200746.07297
Wednesday, August 09, 200623.67196
Monday, May 08, 200630.10221
Thursday, October 27, 200523.22368


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
6832.95
5852.50
8192.31
5121.82
4101.62
2731.10
4551.03
2930.89
1410.85
1860.84
2560.82




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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PLL




Pall Corporation












Average Sawtooth based on Monthly Combo

PLL:  Average Sawtooth based on Monthly Combo

PLL




Pall Corporation









Average Sawtooth based on Bi-weekly Combo

Average Sawtooth based on Bi-weeklyly Combo of Pall Corporation



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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