Periodic Frequencies for EAT

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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 12 trading sessions.

Frequency Analysis based on Monthly Comb

Frequency Analysis based on Monthly Comb of Brinker International

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, a fact that has played havoc with most schemes to exploit the market 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.

In order to determine the actual frequences in a particular case, we must conduct an new form of analysis that is better suited to deal with the oxymoronic condition of variable length cycles.




General Market Conditions

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More than 70 Hi-Rez charts daily for Brinker International:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 29.00
Sawtooth = 50.13
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.4129.0022.0012.93 %
Low17.6931.0021.0014.49 %
Recent HighPriceRecent LowPrice Cycle
Monday, September 20, 201017.6327
Tuesday, July 27, 201016.3071
Wednesday, August 11, 201014.7726
Thursday, April 15, 201020.3817
Tuesday, July 06, 201014.0166
Monday, March 22, 201020.1541
Wednesday, March 31, 201018.9738
Thursday, January 21, 201017.0420


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
120.57
170.49
200.45
240.29
270.25
310.23
340.19
490.17
590.15
450.15
470.14



Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Brinker International

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 52.00
Sawtooth = 50.53
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High44.0981.0053.0025.71 %
Low50.8091.0052.0025.05 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, July 06, 201014.01168
Thursday, April 15, 201020.38174
Monday, November 02, 200912.2352
Wednesday, August 05, 200917.6676
Wednesday, August 19, 200913.29185
Friday, April 17, 200918.51144
Friday, November 21, 20083.7192
Friday, September 19, 200819.3788


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
120.35
170.26
200.22
150.22
250.17
270.15
800.15
590.14
1640.13
1080.13
1320.13



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Brinker International

Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 45.09
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High0.000.000.000.00 %
Low0.000.000.000.00 %
Recent HighPriceRecent LowPrice Cycle
Thursday, April 15, 201020.38250
Monday, November 02, 200912.23237
Friday, April 17, 200918.51544
Friday, November 21, 20083.71213
Tuesday, January 22, 200813.98370
Tuesday, February 20, 200731.96232
Tuesday, August 01, 200618.93495
Friday, March 17, 200625.51189


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
6831.52
8191.45
2560.88
5850.86
4100.85
3150.64
2930.63
2050.57
2730.56
1860.53
200.50




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.



Other Companies
American International Group, Inc.
Martha Stewart
Office Depot, Inc.
Bank of America Corporation
Cisco Systems
Nordstrom, Inc.
McDonalds
Oracle
Walmart
Johnson and Johnson
AOL Time Warner



EAT




Brinker International












Average Sawtooth based on Monthly Combo

Average Sawtooth based on Monthly Combo of Brinker International

EAT




Brinker International









Average Sawtooth based on Bi-weekly Combo

EAT:  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.

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.

.
Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25Signaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 1 instances
Future30SesAvgClose 2.20 % minus 1.25 % = 0.95 %8.07 %
Future5SesAvgClose -1.47 % minus 0.24 % = -1.72 %-87.30 %
Future2SesAvgClose -0.77 % minus 0.12 % = -0.89 %-113.25 %
Sell Signals - 2 instances
Future30SesAvgClose -5.51 % minus 1.25 % = -6.76 %-57.25 %
Future5SesAvgClose -5.13 % minus 0.24 % = -5.37 %-272.82 %
Future2SesAvgClose -0.85 % minus 0.12 % = -0.97 %-123.36 %
.
Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle CrossingSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 35 instances
Future30SesAvgClose 0.23 % minus 1.25 % = -1.02 %-8.61 %
Future5SesAvgClose -0.33 % minus 0.24 % = -0.58 %-29.32 %
Future2SesAvgClose 0.10 % minus 0.12 % = -0.02 %-2.51 %
Sell Signals - 33 instances
Future30SesAvgClose 1.18 % minus 1.25 % = -0.07 %-0.56 %
Future5SesAvgClose 0.22 % minus 0.24 % = -0.03 %-1.31 %
Future2SesAvgClose 0.09 % minus 0.12 % = -0.03 %-3.65 %
.
Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30Signaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 4 instances
Future30SesAvgClose 7.30 % minus 1.25 % = 6.05 %51.23 %
Future5SesAvgClose 1.04 % minus 0.24 % = 0.80 %40.39 %
Future2SesAvgClose 0.29 % minus 0.12 % = 0.17 %21.11 %
Sell Signals - 4 instances
Future30SesAvgClose 3.31 % minus 1.25 % = 2.06 %17.48 %
Future5SesAvgClose 1.11 % minus 0.24 % = 0.87 %44.00 %
Future2SesAvgClose 0.65 % minus 0.12 % = 0.53 %67.19 %
.
Projection of Representative Monthly CycleSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 108 instances
Future30SesAvgClose 1.69 % minus 1.25 % = 0.44 %3.76 %
Future5SesAvgClose 1.02 % minus 0.24 % = 0.77 %39.34 %
Future2SesAvgClose 0.70 % minus 0.12 % = 0.58 %73.36 %
Sell Signals - 107 instances
Future30SesAvgClose 1.86 % minus 1.25 % = 0.61 %5.18 %
Future5SesAvgClose 0.74 % minus 0.24 % = 0.49 %25.10 %
Future2SesAvgClose 0.47 % minus 0.12 % = 0.35 %44.15 %
.
Projection of BiWeekly Modal CyclesSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 233 instances
Future30SesAvgClose 1.17 % minus 1.25 % = -0.08 %-0.68 %
Future5SesAvgClose 0.49 % minus 0.24 % = 0.25 %12.50 %
Future2SesAvgClose 0.31 % minus 0.12 % = 0.19 %24.65 %
Sell Signals - 211 instances
Future30SesAvgClose 0.66 % minus 1.25 % = -0.59 %-5.02 %
Future5SesAvgClose -0.15 % minus 0.24 % = -0.39 %-19.79 %
Future2SesAvgClose -0.18 % minus 0.12 % = -0.30 %-37.69 %
.
The best buy signal for 30 future sessions was 6.05 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal for was -6.76 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25.
For 5 future sessions the best buy signal was 0.80 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal was -5.37 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25.
The best buy signal for 2 future sessions was 0.58 % from the Projection of Representative Monthly Cycle,and the best sell signal was -0.97 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25.



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