Frequency Analysis of SLGN

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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

Frequency Analysis based on Monthly Comb of Silgan Holdings, Inc.

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 Silgan Holdings, Inc.:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 38.00
Sawtooth = 52.99
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.3232.0028.0015.32 %
Low18.3533.0019.0016.45 %
Recent HighPriceRecent LowPrice Cycle
Thursday, September 23, 201030.7256
Monday, September 13, 201032.1234
Monday, July 26, 201030.0626
Tuesday, July 06, 201027.6620
Thursday, June 17, 201029.7738
Monday, June 07, 201027.4388
Friday, April 23, 201032.8680
Friday, January 29, 201025.6438


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
90.51
120.38
160.36
140.31
370.23
290.22
210.20
230.19
340.17
250.15
790.13



Frequency Analysis based on Quarterly Comb

SLGN:  Frequency Analysis based on Quarterly Comb

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 81.00
Sawtooth = 45.45
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High44.2781.0036.0043.09 %
Low53.3381.0067.0042.80 %
Recent HighPriceRecent LowPrice Cycle
Monday, June 07, 201027.4388
Friday, April 23, 201032.8680
Friday, January 29, 201025.6438
Monday, December 28, 200928.95107
Thursday, December 03, 200925.9865
Monday, July 27, 200925.2781
Tuesday, September 01, 200923.6867
Tuesday, March 31, 200925.6935


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
100.29
790.20
160.20
1370.17
1140.17
2930.17
370.16
230.16
340.15
1200.14
1020.13



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Silgan Holdings, Inc.

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
Wednesday, November 19, 200819.60173
Friday, September 19, 200827.91298
Monday, March 17, 200822.14389
Tuesday, July 17, 200729.16334
Monday, August 28, 200615.96961
Friday, March 17, 200619.21969
Friday, November 01, 20024.22466
Monday, May 13, 20029.811178


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
6833.89
5122.13
4102.09
2931.41
3411.39
2561.01
2280.94
1860.93
120.90
2050.90
1200.85




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SLGN




Silgan Holdings, Inc.












Average Sawtooth based on Monthly Combo

SLGN:  Average Sawtooth based on Monthly Combo

SLGN




Silgan Holdings, Inc.









Average Sawtooth based on Bi-weekly Combo

SLGN:  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.

Bullish or bearish moods may be reflected in the steepness of the buying and selling slopes, particularly as they change through time. 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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