Frequency Analysis of JNPR

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From the Update 11/10/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 8 trading sessions.

Frequency Analysis based on Monthly Comb

Frequency Analysis based on Monthly Comb of Juniper Networks, Inc.

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, 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 Juniper Networks, Inc.:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 18.00
Sawtooth = 52.20
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.3526.0016.0020.83 %
Low16.8031.0018.0024.40 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, October 19, 201030.5446
Tuesday, October 05, 201032.5950
Friday, August 13, 201025.6331
Monday, July 26, 201028.8570
Wednesday, June 30, 201022.82106
Thursday, April 15, 201031.9870
Thursday, January 28, 201024.4927
Monday, January 04, 201027.1818


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
120.38
140.36
180.33
200.30
260.19
230.18
280.16
370.15
550.15
310.15
510.14



Frequency Analysis based on Quarterly Comb

JNPR:  Frequency Analysis based on Quarterly Comb

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 51.00
Sawtooth = 52.28
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High51.2999.0057.0037.70 %
Low53.5782.0051.0026.55 %
Recent HighPriceRecent LowPrice Cycle
Wednesday, June 30, 201022.82106
Thursday, April 15, 201031.98119
Thursday, January 28, 201024.4951
Thursday, October 22, 200928.2263
Thursday, November 12, 200924.7051
Friday, July 24, 200926.8638
Tuesday, September 01, 200922.69124
Monday, June 01, 200925.34100


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
80.33
120.24
790.18
510.17
200.17
160.17
180.16
1200.16
820.14
1710.14
550.14



Frequency Analysis based on Yearly Comb

JNPR:  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
Friday, March 06, 200912.67645
Tuesday, October 09, 200737.65713
Friday, August 11, 200612.20334
Wednesday, December 08, 200429.08224
Friday, April 15, 200519.75635
Tuesday, January 20, 200430.39816
Monday, October 07, 20024.43256
Monday, October 16, 2000243.00333


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
6835.70
5123.87
2281.78
1861.64
2561.33
4101.10
1201.08
3411.00
1370.85
160.84
1020.83




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In the news, Monday, November 15, 2010: A favorable condition has developed with Sprint Nextel Corporation, ticker symbol S. Also, there are breaking events concerning Abbott Laboratories (ABT) and Cree, Inc. (CREE)


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JNPR




Juniper Networks, Inc.












Average Sawtooth based on Monthly Combo

Average Sawtooth based on Monthly Combo of Juniper Networks, Inc.

JNPR




Juniper Networks, Inc.









Average Sawtooth based on Bi-weekly Combo

JNPR:  Average Sawtooth based on Bi-weeklyly Combo



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.

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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