A cycle is an event, such as a price high or low, which repeats itself on a regular basis. Cycles exist in the economy, nature and the financial markets. The basic business cycle encompasses an economic downturn, bottom, economic upturn, and top. Cycles in nature include the four seasons and solar activity 11 years. Cycles are also part of technical analysis of the financial markets. Cycle theory asserts that cyclical forces, both long and short, drive price movements in the financial markets.

Price and time cycles are used to anticipate turning points. Lows are normally used to define cycle length and then project future cycle lows. Even though there is evidence that cycles do indeed exist, cycles change over time and even disappear at times. While this may sound discouraging, trend is the same way. There is indeed evidence that markets trend , but not all the time. Trend disappears when markets move into a trading range and reverses when prices change direction.

Cycles can also disappear and even invert. Do not expect cycle analysis to pinpoint reaction highs or lows. Instead, cycle analysis should be used in conjunction with other aspects of technical analysis to anticipate turning points. The image below shows a perfect cycle with a length of days. Not all cycles are this well-defined. This is just a blueprint for the ideal cycle. The first cycle low is at 75 days and the second cycle low is at days also days later.

Notice that the cycle crosses the X-axis at 50, and , which is every 50 points or half a cycle. Lows are usually used to define the length of a cycle and project the cycle into the future. A cycle high can be expected somewhere between the cycle lows. Cycles almost never peak at the exact midpoint nor trough at the expected cycle low. Most often, peaks occur before or after the midpoint of the cycle.

Right translation is the tendency of prices to peak in the latter part of the cycle during bull markets. Conversely, left translation is the tendency of prices to peak in the front half of the cycle during bear markets. Prices tend to peak later in bull markets and earlier in bear markets. Larger cycles can be broken down into smaller, and equal, cycles. A week cycle divides into two week cycles. Sometimes a larger cycle can divide into three or more parts.

The inverse is also true. Small cycles can multiply into larger cycles. A week cycle can be part of a larger week cycle and an even larger week cycle.

A cycle low is reinforced when several cycles signal a trough at the same time. The week, week, and week cycles are nesting when they all trough at the same time. Sometimes a cycle high occurs when there should be a cycle low and vice versa. This can happen when a cycle high or low is skipped or is minimal. A cycle low may be short or almost non-existent in a strong uptrend. Similarly, markets can fall fast and skip a cycle high during sharp declines.

Inversions are more prominent with shorter cycles and less common with longer cycles. For instance, one could expect more inversions with a week cycle than a week cycle. The data points on a price chart can be split into three categories: Trending data points are part of a sustained directional move, usually up or down.

Cyclical data points are recurring diversions from the mean. Diversions occur when prices move above or below the mean. Random data points are noise, usually caused by intraday or daily volatility.

Cycles can be found by removing trend and random noise from the price data. Random data points can be removed by smoothing the data with a moving average. The trend can be isolated by de-trending the data.

This can be done by focusing on movements above and below a moving average. Alternatively, the Detrended Price Oscillator can be used see below. Set chart to log scale. When looking for cycles, it is important to view price changes in percentage terms instead of absolute terms. On an arithmetic scale, an advance from to will look the same as an advance from to Even though both advances are points, they are much different in percentage terms.

On a log scale, the move from to will appear much larger than the move from to This is because the percentage change from to is three times larger. A log scale chart is needed to properly compare price action over a long time period with larger price changes. Smooth the price series with a short simple moving average. This is to eliminate the random noise and focus on the general movements.

A short 5-day SMA is often adequate. Smoothing also helps to define reaction lows when volatility is high, such as October-November in the chart below. Visually analyze the charts for possible cycle lows. This is perhaps the easiest way to find cycles.

Find a few lows that appear to have the same cycle length and extend that cycle into the future. Detrend the price series to focus on cycle lows. DPO would then be the closing price less the value of the displaced moving average.

The resulting oscillator reflects price movements above and below this displaced moving average. We can then use oscillator dips to identify a cycle. Notice that the DPO ends before the last price. This is because the moving average is displaced and the DPO aligns with the displaced moving average.

It often helps to set the DPO in line with the cycle length. The chart is shown in log scale to view the movements as percentages. This puts the plot in the middle of the moving average period. Visual analysis suggests that there is a three-month cycle at work. Therefore, the Detrended Price Oscillator is set at 65 days to confirm the suspected cycle. The Detrended Price Oscillator turns negative every few months to confirm a recurring cycle at work. The blue arrows show the initial estimates for the day cycle.

The Cycle Lines Tool is then applied to evenly spread the cycles and project into the future. As its name suggests, the Presidential Cycle is based on the first and second half of the Presidential term. This cycle is not infallible, but it has produced good results over the last 50 years. It starts with Reagan's first two years and ends with Obama's first year Yale Hirsch, founder of the Stock Trader's Almanac , discovered the six-month cycle in This cycle is one of the more popular on Wall Street.

The bullish period extends from November to April and the bearish period extends from May to October. Basically, buy when both cycles are bullish and MACD turns positive. Sell when both cycles are bearish and MACD turns negative. This is a great example of using other indicators in conjunction with cycles to improve performance. Once identified and understood, cycles can add significant value to the technical analysis toolbox. Cycles are not perfect though.

Some will miss, some will disappear and some will provide a direct hit. This is why it is important to use cycles in conjunction with other aspects of technical analysis. Trend establishes direction, oscillators define momentum and cycles anticipate turning points. Look for confirmation with support or resistance on the price chart or a turn in a key momentum oscillator.

It can also help to combine cycles. For example, the stock market is known to have week, week, and week cycles. Signals are enhanced when multiple cycles nest at a cycle low.

Below, you'll find an example of a chart annotated with Cycle Lines. When adding cycle annotations, it is sometimes helpful to measure the first two cycle lows with vertical lines.

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