Periodic Frequencies for TLM

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From the Update 2/26/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 8 trading sessions.

Frequency Analysis based on Monthly Comb

TLM:  Frequency Analysis based on Monthly Comb

It is obvious from inspection of price lines, that many seem to contain cycles that may persist in repeating for a long time. 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 Talisman:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 31.00
Sawtooth = 52.18
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.8031.0031.0012.97 %
Low16.9531.0015.0015.95 %
Recent HighPriceRecent LowPrice Cycle
Friday, January 29, 201016.5734
Friday, January 08, 201019.9857
Wednesday, December 09, 200916.6524
Friday, October 16, 200919.2123
Wednesday, November 04, 200916.7823
Tuesday, September 15, 200918.1236
Friday, October 02, 200916.4021
Friday, July 24, 200915.9238


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
70.72
120.43
200.26
170.24
390.20
300.19
230.19
280.16
370.15
730.12
640.12



Frequency Analysis based on Quarterly Comb

TLM:  Frequency Analysis based on Quarterly Comb

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 89.00
Sawtooth = 49.03
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High54.6089.0089.0024.79 %
Low47.6782.0040.0029.42 %
Recent HighPriceRecent LowPrice Cycle
Friday, January 08, 201019.9857
Wednesday, December 09, 200916.65108
Friday, October 16, 200919.2197
Wednesday, July 08, 200912.5894
Monday, June 01, 200916.36100
Monday, February 23, 20097.8862
Tuesday, January 06, 200911.22159
Thursday, November 20, 20086.53200


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
80.36
120.27
930.22
730.20
890.19
2560.18
1370.16
200.16
760.15
160.15
660.13



Frequency Analysis based on Yearly Comb

Frequency Analysis based on Yearly Comb of Talisman

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
Thursday, November 20, 20086.53200
Tuesday, May 20, 200824.43585
Thursday, February 07, 200814.79338
Monday, January 23, 200620.46901
Tuesday, October 03, 200614.371003
Tuesday, June 25, 20024.49262
Wednesday, October 09, 20023.22265
Tuesday, June 05, 20014.16437


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
5122.13
3411.54
4101.53
2931.36
1860.84
1370.69
2050.68
100.61
6830.61
1710.59
130.57




Breaking News:

Thursday, March 11, 2010: We have news on Zimmer Holdings, Inc., ticker symbol ZMH. A favorable momentum event has happened. Also, there are breaking events concerning Zimmer Holdings, Inc. and NiSource Inc..

From the News Archive: (3/10/2010 ) Bad news came from Omnicom Group Inc., PNC Financial Services, American International Group, Inc., and Carnival Corporation.



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Average Sawtooth based on Monthly Combo

Average Sawtooth based on Monthly Combo of Talisman

Average Sawtooth based on Bi-weekly Combo

TLM:  Average Sawtooth based on Bi-weeklyly Combo



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.

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 - 0 instances
Sell Signals - 0 instances
.
Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle CrossingSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 9 instances
Future30SesAvgClose 1.14 % minus 1.30 % = -0.16 %-1.32 %
Future5SesAvgClose -0.51 % minus 0.27 % = -0.79 %-39.95 %
Future2SesAvgClose -0.13 % minus 0.13 % = -0.26 %-33.09 %
Sell Signals - 6 instances
Future30SesAvgClose 3.42 % minus 1.30 % = 2.12 %17.97 %
Future5SesAvgClose 0.72 % minus 0.27 % = 0.45 %22.66 %
Future2SesAvgClose 0.25 % minus 0.13 % = 0.12 %14.64 %
.
Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30Signaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 3 instances
Future30SesAvgClose 2.75 % minus 1.30 % = 1.45 %12.30 %
Future5SesAvgClose 2.33 % minus 0.27 % = 2.05 %104.32 %
Future2SesAvgClose 1.50 % minus 0.13 % = 1.37 %174.11 %
Sell Signals - 2 instances
Future30SesAvgClose -14.18 % minus 1.30 % = -15.48 %-131.07 %
Future5SesAvgClose -4.17 % minus 0.27 % = -4.44 %-225.63 %
Future2SesAvgClose -0.50 % minus 0.13 % = -0.63 %-80.51 %
.
Projection of Representative Monthly CycleSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 48 instances
Future30SesAvgClose 1.85 % minus 1.30 % = 0.55 %4.68 %
Future5SesAvgClose 0.65 % minus 0.27 % = 0.38 %19.41 %
Future2SesAvgClose 0.04 % minus 0.13 % = -0.09 %-11.34 %
Sell Signals - 48 instances
Future30SesAvgClose 1.01 % minus 1.30 % = -0.28 %-2.41 %
Future5SesAvgClose -0.27 % minus 0.27 % = -0.55 %-27.75 %
Future2SesAvgClose -0.37 % minus 0.13 % = -0.50 %-63.50 %
.
Projection of BiWeekly Modal CyclesSignaled Appreciation minus non-signaled AppreciationAnnualized %
Buy Signals - 97 instances
Future30SesAvgClose 0.80 % minus 1.30 % = -0.50 %-4.21 %
Future5SesAvgClose -0.39 % minus 0.27 % = -0.66 %-33.77 %
Future2SesAvgClose -0.32 % minus 0.13 % = -0.45 %-56.86 %
Sell Signals - 104 instances
Future30SesAvgClose 1.64 % minus 1.30 % = 0.35 %2.95 %
Future5SesAvgClose 0.55 % minus 0.27 % = 0.28 %14.31 %
Future2SesAvgClose 0.29 % minus 0.13 % = 0.16 %20.22 %
.
The best buy signal for 30 future sessions was 1.45 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal for was -15.48 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30.
For 5 future sessions the best buy signal was 2.05 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal was -4.44 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30.
The best buy signal for 2 future sessions was 1.37 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal was -0.63 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30.



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