Periodic Frequencies for TER

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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 10 trading sessions.

Frequency Analysis based on Monthly Comb

TER:  Frequency Analysis based on Monthly Comb

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, the fluctuations seen in financial data are almost never exactly periodic, complicating most attempts to take advantage of these cycles.

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 Teradyne, Inc.:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 38.00
Sawtooth = 47.57
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.9033.0029.0027.79 %
Low16.5731.0018.0023.21 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, September 28, 201011.4040
Tuesday, August 31, 20108.9841
Monday, August 02, 201011.2530
Friday, July 02, 20109.4817
Friday, June 18, 201011.8038
Wednesday, June 09, 20109.8842
Monday, April 26, 201013.1072
Friday, April 09, 201011.0844


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
120.52
140.51
170.44
190.37
240.27
320.20
280.19
350.17
370.16
490.12
550.12



Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Teradyne, Inc.

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 95.00
Sawtooth = 43.60
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High49.3695.0095.0025.00 %
Low47.4388.0038.0031.98 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 20108.9841
Monday, April 26, 201013.1072
Friday, July 02, 20109.48103
Monday, January 11, 201011.5260
Thursday, February 04, 20109.0762
Wednesday, October 14, 200910.5195
Wednesday, November 04, 20098.1784
Monday, June 01, 20097.4998


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
100.38
120.30
140.29
180.19
2280.17
1710.17
240.15
410.14
280.14
770.13
2930.13



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Teradyne, Inc.

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 51.15
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Monday, April 26, 201013.10489
Thursday, November 20, 20082.97218
Thursday, May 15, 200814.10227
Friday, January 11, 20088.94372
Thursday, June 21, 200718.30351
Thursday, July 20, 200611.90309
Friday, January 27, 200617.90510
Thursday, April 28, 200510.95162


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
8195.01
5124.78
5854.21
93.40
6833.07
4103.04
2932.81
142.58
2562.54
2412.47
4552.28




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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TER




Teradyne, Inc.












Average Sawtooth based on Monthly Combo

Average Sawtooth based on Monthly Combo of Teradyne, Inc.

TER




Teradyne, Inc.









Average Sawtooth based on Bi-weekly Combo

Average Sawtooth based on Bi-weeklyly Combo of Teradyne, Inc.



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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