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, 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. The paradoxical condition of variable length periods forces the adoptation of some new forms of analysis. |
| 
Subscribe More than 70 Hi-Rez charts daily for PetroCanada: |
Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 29.00
Sawtooth = 48.88
| Peak Type | Avg. Cycle | Median Cycle | Cycle Mode | Cycle Amplitude | | High | 17.05 | 31.00 | 25.00 | 16.82 % | | Low | 17.08 | 29.00 | 18.00 | 13.11 % |
| Recent High | Price | Recent Low | Price | Cycle | | | Wednesday, July 08, 2009 | 33.10 | 88 | | Monday, June 01, 2009 | 45.64 | | | 35 | | Thursday, April 09, 2009 | 32.21 | | | 13 | | | Tuesday, March 03, 2009 | 19.38 | 27 | | Monday, March 23, 2009 | 29.17 | | | 29 | | | Thursday, January 22, 2009 | 21.11 | 19 | | Monday, February 09, 2009 | 24.18 | | | 23 | | | Tuesday, December 23, 2008 | 20.60 | 22 |
Fourier Transform after Digital Filter M | Cycle Length | Fourier Amplitude | | 7 | 0.77 | | 13 | 0.32 | | 20 | 0.32 | | 16 | 0.32 | | 39 | 0.28 | | 18 | 0.22 | | 28 | 0.20 | | 37 | 0.19 | | 24 | 0.17 | | 26 | 0.16 | | 50 | 0.15 |
|
Frequency Analysis based on Quarterly Comb
Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 79.00
Sawtooth = 47.24
| Peak Type | Avg. Cycle | Median Cycle | Cycle Mode | Cycle Amplitude | | High | 43.40 | 79.00 | 79.00 | 24.62 % | | Low | 48.25 | 82.00 | 56.00 | 17.58 % |
| Recent High | Price | Recent Low | Price | Cycle | | Monday, June 01, 2009 | 45.64 | | | 100 | | | Tuesday, March 03, 2009 | 19.38 | 68 | | Tuesday, January 06, 2009 | 25.67 | | | 157 | | | Thursday, November 20, 2008 | 16.14 | 171 | | Thursday, May 22, 2008 | 59.56 | | | 97 | | | Thursday, March 20, 2008 | 40.94 | 73 | | Thursday, January 03, 2008 | 54.50 | | | 38 | | | Tuesday, December 04, 2007 | 46.75 | 76 |
Fourier Transform after Digital Filter Q | Cycle Length | Fourier Amplitude | | 7 | 0.40 | | 108 | 0.24 | | 73 | 0.20 | | 186 | 0.19 | | 16 | 0.18 | | 228 | 0.18 | | 39 | 0.17 | | 137 | 0.17 | | 114 | 0.16 | | 71 | 0.15 | | 28 | 0.15 |
|
|
|
Frequency Analysis based on Yearly Comb
Representative Cycle (Trading Sessions) = 0.00
Sawtooth = 0.00
| Peak Type | Avg. Cycle | Median Cycle | Cycle Mode | Cycle Amplitude | | High | 0.00 | 0.00 | 0.00 | 0.00 % | | Low | 0.00 | 0.00 | 0.00 | 0.00 % |
| Recent High | Price | Recent Low | Price | Cycle | | | Thursday, November 20, 2008 | 16.14 | 426 | | Thursday, May 22, 2008 | 59.56 | | | 135 | | Wednesday, November 07, 2007 | 58.12 | | | 390 | | | Friday, March 16, 2007 | 33.73 | 696 | | Friday, April 21, 2006 | 49.03 | | | 566 | | | Wednesday, June 09, 2004 | 19.69 | 587 | | Thursday, January 22, 2004 | 24.75 | | | 652 | | | Friday, February 08, 2002 | 9.80 | 856 |
Fourier Transform on Raw Closing Prices | Cycle Length | Fourier Amplitude | | 228 | 3.15 | | 683 | 2.75 | | 256 | 2.73 | | 410 | 2.62 | | 512 | 2.51 | | 205 | 2.02 | | 7 | 2.01 | | 293 | 1.91 | | 186 | 1.86 | | 10 | 1.50 | | 137 | 1.45 |
|
|
|
| PCZ
PetroCanada
|
Average Sawtooth based on Monthly Combo
| PCZ
PetroCanada
|
Average Sawtooth based on Bi-weekly 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.
| . | | | Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25 | Signaled Appreciation minus non-signaled Appreciation | Annualized % | | Buy Signals - 0 instances | | | | Sell Signals - 0 instances | | . | | | Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle Crossing | Signaled Appreciation minus non-signaled Appreciation | Annualized % | | Buy Signals - 14 instances | | | | Future30SesAvgClose | 3.75 % minus 1.44 % = 2.31 % | 19.53 % | | Future5SesAvgClose | 0.83 % minus 0.29 % = 0.54 % | 27.48 % | | Future2SesAvgClose | 0.70 % minus 0.15 % = 0.55 % | 69.71 % | | Sell Signals - 17 instances | | Future30SesAvgClose | 0.09 % minus 1.44 % = -1.35 % | -11.43 % | | Future5SesAvgClose | -1.28 % minus 0.29 % = -1.58 % | -80.13 % | | Future2SesAvgClose | -1.42 % minus 0.15 % = -1.56 % | -198.54 % | | . | | | Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30 | Signaled Appreciation minus non-signaled Appreciation | Annualized % | | Buy Signals - 4 instances | | | | Future30SesAvgClose | -1.34 % minus 1.44 % = -2.78 % | -23.54 % | | Future5SesAvgClose | 2.95 % minus 0.29 % = 2.65 % | 134.83 % | | Future2SesAvgClose | 1.48 % minus 0.15 % = 1.34 % | 169.85 % | | Sell Signals - 4 instances | | Future30SesAvgClose | 0.31 % minus 1.44 % = -1.13 % | -9.60 % | | Future5SesAvgClose | -0.01 % minus 0.29 % = -0.30 % | -15.30 % | | Future2SesAvgClose | -0.09 % minus 0.15 % = -0.23 % | -29.68 % | | . | | | Projection of Representative Monthly Cycle | Signaled Appreciation minus non-signaled Appreciation | Annualized % | | Buy Signals - 63 instances | | | | Future30SesAvgClose | 1.16 % minus 1.44 % = -0.28 % | -2.38 % | | Future5SesAvgClose | 0.11 % minus 0.29 % = -0.18 % | -9.12 % | | Future2SesAvgClose | -0.03 % minus 0.15 % = -0.17 % | -21.99 % | | Sell Signals - 62 instances | | Future30SesAvgClose | 1.33 % minus 1.44 % = -0.11 % | -0.97 % | | Future5SesAvgClose | -0.05 % minus 0.29 % = -0.34 % | -17.27 % | | Future2SesAvgClose | -0.12 % minus 0.15 % = -0.27 % | -33.68 % | | . | | | Projection of BiWeekly Modal Cycles | Signaled Appreciation minus non-signaled Appreciation | Annualized % | | Buy Signals - 141 instances | | | | Future30SesAvgClose | 1.75 % minus 1.44 % = 0.31 % | 2.59 % | | Future5SesAvgClose | 0.55 % minus 0.29 % = 0.25 % | 12.89 % | | Future2SesAvgClose | 0.26 % minus 0.15 % = 0.11 % | 14.53 % | | Sell Signals - 124 instances | | Future30SesAvgClose | 1.44 % minus 1.44 % = 0.00 % | 0.02 % | | Future5SesAvgClose | 0.29 % minus 0.29 % = 0.00 % | 0.01 % | | Future2SesAvgClose | 0.03 % minus 0.15 % = -0.12 % | -14.66 % | | . | | | | |
| The best buy signal for 30 future sessions was 2.31 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle Crossing,and the best sell signal for was -1.44 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 75 and 25. | | For 5 future sessions the best buy signal was 2.65 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal was -1.58 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle Crossing. | | The best buy signal for 2 future sessions was 1.34 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals at 70 and 30,and the best sell signal was -1.56 % from the Semi-Annual Avg. of Bi-weekly Sawtooth Signals middle Crossing. |
Today's Free Reports | Meet the Analysts | Member Sign In | Stock-Predictions dot Com Home Page
For Subscribers: Advanced Analysis of the Price Behavior Surface for PetroCanada
Contents of non-member pages are delayed. New information may have voided the predictions shown here. Associates of Stock-Predictions.Com or Hybrid Technical may hold positions in issues covered here.
Our Pledge of Independence: We do not utilize any reporting or analysis that comes directly or indirectly from brokerage or banking firms.
Note: Free pages are for entertainment and academic purposes only. We do not advise anyone to buy or sell stocks or funds. We do not recommend the purchase or sale of this or any other issue. Research shows that most people who trade securities will lose money.
These reports are not to be used for stock-picking or investment decision support. Any such use is strictly prohibited. Charts are provided by permission from Hybrid Technical. All Rights Reserved. All Content is Copyright 2010 by Stock-Predictions.ComThis site and Hybrid Technical shall not be liable for any errors in the content, or for any actions taken in reliance thereon.
| |
