MHS Periodic Wave Oscillators

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From the Update 11/11/2010: The strongest frequency, according to classical frequency analysis, is an oscillation with a length of 6 trading sessions.

Frequency Analysis based on Monthly Comb

MHS:  Frequency Analysis based on Monthly Comb

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, 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.

New methods had to be invented to deal with the seeming mathematical absurdity in the notion of non-periodic cycles.




General Market Conditions

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More than 70 Hi-Rez charts daily for Medco Health Solutions Inc.:

Frequency from Monthly Comb Filter
Representative Cycle (Trading Sessions) = 31.00
Sawtooth = 45.39
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High16.0030.0022.0010.28 %
Low16.7131.0031.009.61 %
Recent HighPriceRecent LowPrice Cycle
Thursday, October 21, 201050.6836
Thursday, July 15, 201057.7619
Tuesday, August 31, 201043.4871
Thursday, June 17, 201061.5140
Thursday, May 20, 201055.0772
Wednesday, April 21, 201064.7921
Monday, March 22, 201066.1720
Friday, February 05, 201060.0134


Fourier Transform after Digital Filter M

Cycle LengthFourier Amplitude
120.38
180.30
240.20
260.19
730.18
680.18
200.18
370.15
280.15
790.14
430.13



Frequency Analysis based on Quarterly Comb

Frequency Analysis based on Quarterly Comb of Medco Health Solutions Inc.

Frequency from Quarterly Comb Filter
Representative Cycle (Trading Sessions) = 76.00
Sawtooth = 43.31
Peak TypeAvg. CycleMedian CycleCycle ModeCycle Amplitude
High44.8377.0096.0021.15 %
Low62.0076.0076.008.63 %
Recent HighPriceRecent LowPrice Cycle
Tuesday, August 31, 201043.48143
Thursday, June 17, 201061.5161
Monday, March 22, 201066.1745
Friday, February 05, 201060.0186
Thursday, January 14, 201066.5298
Friday, October 02, 200953.6876
Tuesday, August 25, 200956.54139
Tuesday, June 16, 200943.6867


Fourier Transform after Digital Filter Q

Cycle LengthFourier Amplitude
60.42
790.22
680.22
730.20
120.20
1710.17
1460.16
1020.15
180.15
2560.15
850.14



Frequency Analysis based on Yearly Comb

MHS:  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
Thursday, January 14, 201066.52510
Monday, October 27, 200831.18165
Tuesday, March 04, 200841.54320
Monday, January 07, 200853.97353
Tuesday, November 21, 200623.91583
Thursday, August 10, 200632.00750
Monday, August 02, 200415.00239
Monday, January 01, 00010.000


Fourier Transform on Raw Closing Prices

Cycle LengthFourier Amplitude
51210.09
3412.26
1462.13
1711.86
1021.54
791.49
1141.47
731.36
121.35
101.31
851.31




Breaking News:

Friday, November 12, 2010: We have news on Cree, Inc., ticker symbol CREE. Signs of an over-bought condition have become noticable. Also, there are breaking events concerning Intel and PetSmart, Inc.

From the News Archive: (11/11/2010 ) Favorable events happened at Exxon Mobil, Ingersoll-Rand Company Limited, and Concur Technologies, Inc.. Meanwhile, bad news came from International Game Technology.



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MHS




Medco Health Solutions Inc.












Average Sawtooth based on Monthly Combo

MHS:  Average Sawtooth based on Monthly Combo

MHS




Medco Health Solutions Inc.









Average Sawtooth based on Bi-weekly Combo

Average Sawtooth based on Bi-weeklyly Combo of Medco Health Solutions Inc.



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.

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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Detailed Oscillator Level Analysis for MHS :




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