Showing posts with label Christopher Grafton. Show all posts
Showing posts with label Christopher Grafton. Show all posts

Monday, November 3, 2025

November Post-Election Year Seasonality: Best Month of the Year | Jeff Hirsch

November is typically a bullish month, with twelve bullish days based on the S&P 500. This includes a streak of six consecutive bullish days starting on the first trading day (Nov 3 (Mon)). Although historically a bullish month, November does have its weak points.

November Performance of US Stock Indices: Recent 21-Year (2004-2024) and Post-Election Years (1950-2021).
November Performance of US Stock Indices: Last 21-Years (2004-2024) and Post-Election Years (1950-2021).

The DJIA and Russell 2000 tend to exhibit the greatest strength at the beginning and end of the month. The Russell 2000, in particular, is notably bearish on its 12th trading day (Nov 18 (Tue)); the small-cap benchmark has risen just eleven times in the past 41 years (since 1984). On this day, the Russell 2000's average decline is 0.41%.

Recent weakness around Thanksgiving (Nov 27 (Thu)) has shifted the strength of the DJIA and S&P 500 to align more closely with that of the NASDAQ and Russell 2000, with the majority of bullish days occurring at the start and end of the month. The best way to trade around Thanksgiving is to go long on any weakness before the holiday and exit into strength just before or after.
 
Reference: 
 
S&P 500 Seasonailty First and Last Half of each Month (1928-2024). 
 
 
  

Wednesday, September 3, 2025

Hurst Cycles Notes on the S&P 500 and Bitcoin | Christopher Grafton

General outlook: Gold, EURUSD both in 40 day cycle peak zone. US Dollar, Oil, Copper, USDJPY forming pro-trend 20 day cycle troughs. SPX E-Minis, 10 Year Treasuries at 80 day cycle peaks. Nikkei to 40 day cycle trough zone. Bitcoin 80 day cycle trough forming. 

S&P 500 E– Minis (ES, daily chart) - 80 day peak zone. Down.

 Bitcoin (daily chart) - 80 day cycle trough zone. Up.

J.M. Hurst's Valid Trendlines (VTLs) | Christopher Grafton

Valid Trendlines (VTLs) are unique to Hurst cycle analysis. They pertain to specific cycles and indicate where and when the next longer cycle in the nominal model has formed either a peak or a trough in the past. By extension, they can also be used to estimate future peak and trough locations.

For an up-sloping VTL, we simply plot a straight line joining two adjacent troughs of a particular cycle and project it forward in time. For a down-sloping VTL, it is a straight line joining two adjacent peaks of a particular cycle, again projected forward in time.
 
EURUSD (daily candles - September to October 2022). 

The up-sloping 10-day VTL was crossed down by price on 20 September X(1), indicating that the last peak on 12 September was that of the 20-day cycle. Looking at this cycle's representative semicircle, you can see that the peak is strongly pulled to the left of the semicircle. This is called peak left translation, which tells us that the underlying trend is down—this will be covered in a later section.

The down-sloping 10-day VTL was crossed up by price on 3 October X(2), indicating that the last trough on 28 September was that of the 20-day cycle. (Note: the labels next to the VTLs (8.6 day) refer to the average wavelength of the nominal 10-day cycle. This value is also shown in the bottom left corner of the chart in the 10-day cycle diamonds row.)

 Gold (weekly bars – March 2021 to February 2023).

In the longer-range weekly Gold chart above, both the 18-month cycle and the 20-week cycle VTLs have been plotted. In the week of 16 May 2022 X(1), price crossed down through the 18-month VTL. This means that the last peak was that of not only the 18-month cycle but also the 54-month cycle. One could argue that the signal is rather late, but VTLs are not the only way we place peaks and troughs and establish their magnitude—more on other methods later. Additionally, it is valuable to know the size of that big peak because it tells us a lot about the underlying trend.

The gently up-sloping 20-week VTL was crossed down by price in the week of 11 July X(2). This tells us that the 20 June peak was that of the 40-week cycle. Notice how strongly pulled to the left this peak is, another example of peak left translation and an indication that the underlying trend is strongly down at this point.

Finally, in the week of 10 October, near the right edge of the chart, we can see that price rose up to the down-sloping 20-week VTL but failed to penetrate X(3). Thus, we still cannot say for certain that the most recent price low is that of the 40-week cycle by just using VTLs.
 
Summary: VTLs are trendlines associated with specific cycles. If price crosses down through an up-sloping VTL, we can say that the peak of the next longer cycle is in. If price crosses up through a down-sloping VTL, we can say that the trough of the next longer cycle is in.

J.M. Hurst's Future Lines of Demarcation (FLDs) | Christopher Grafton

A Future Line of Demarcation (FLD) is a replica cycle plotted half a wavelength forward in time from the original cycle. If you can picture a semicircle representing a cycle, the FLD is a copy of that semicircle overlaid on the original, but offset forward. In effect, there are now two overlapping semicircles. 
 
The job of Hurst cycle analysis is to back-engineer the composite cycle (i.e., the price action we observe over time on the chart) and resolve it into its constituent cycles. The goal is to find their troughs and peaks, then determine our position within the cyclic scheme at the lower right edge of the Bitcoin chart below. An FLD can be generated for any cycle in the nominal model. Among other things, the interaction between price and FLDs allows us to estimate the future time and price of peaks and troughs, and to gauge future trend direction. The following examples should clarify this.
 
In the Bitcoin chart, a 20-week FLD has been generated by offsetting a line to the right of price at each date by half the wavelength of the 20-week cycle (the wavelength is 22.7 weeks, as shown at the bottom right of the chart, so the offset is 11.3 weeks). The FLD is an exact duplicate of the original price line. 
 
Bitcoin's 20-Week Cycle and FLD (from June 2021 to January 2022).

The horizontal arrows stacked down the left-hand side of the chart show the offset in action. You might notice a slight difference between the FLD inflections and the original price; this is because FLDs use the median price (high + low)/2. Notice also that as the FLD falls in future time, for example in August, the price is rising at that time; and as the FLD rises in future time, for example in December, the price is falling.

The primary use of the FLD in the Hurst Cycle notes service will be as a target measurement tool and to confirm the magnitudes of recent peaks or troughs. Let's start at the 22 June diamond stack marking the time location of the 40-week cycle trough. The 40-week cycle is represented by a light green diamond, and our cycle of interest, the 20-week cycle, is the dark green diamond just below it in the stack. The arc of the entire cycle has been plotted, and the next trough is estimated to occur in the last week of January 2022.

The origin price is the 22 June low of 23,894. Price rallies with the new 20-week cycle and meets the falling 20-week FLD on 7 August at 43,546 X(1). With these two pieces of information, we can now estimate an initial target for the 20-week cycle peak. We do this by subtracting the origin price from the FLD cross price and then adding the difference to the cross price. This generates an upside target of 63,198, which turns out to be 92% of the actual peak price, which came in at 68,789 on 10 November. The reason the FLD projection fell a bit short is covered in the next section.

Now, let's consider the downside target. Using the 10 November peak as the new origin price (68,789), price falls and meets the rising 20-week FLD on 24 December at 50,918 X(2). Subtracting the FLD cross price from the origin price and then subtracting the difference from the cross price generates a downside target of 33,047 (the actual low was 33,184, i.e., a little lower).
 
Next, we are looking at the 20-day cycle and 20-day FLD in the E-minis chart below. The start of the 20-day cycle is the low of 20 May (3,807.5).  
 
E-minis 20-Day Cycles and FLD (from 20 May to 21 June 2022).

Price rises to meet the FLD on 26 May at 4,012.8 X(1), generating an upside target estimate of 4,218.2 (as a reminder, we subtract the origin price from the cross price and add the difference to the cross price). The actual peak came in somewhat lower at 4,202.2. Why it undershot should become clearer when we examine the downside leg, but basically, it's because the 20-day cycle was under downward pressure from longer, falling cycles. When FLDs either exceed or miss their targets, it tells us something about the bigger picture.

It gets interesting on the downside leg now because price is actually falling into a major low, that of the 40-week cycle trough. In real time, this would have appeared on the chart as a nest of lows shown by circles and whiskers. We would have known the magnitude of the upcoming trough and been prepared for a sharp sell-off into it.

The origin price for the downside leg is the 4,202.2 top, and prices fall to meet the rising 20-day FLD at 4,053.95 X(2). However, this only generates a downside target estimate of 4,053.9, which is clearly too short. In real time, you would have expected a price overshoot to the downside because of the looming big trough and not just randomly closed out at X(2). You would have needed to step up to the next longer cycle, the 40-day FLD. So, let's look at that now.
 
For the downside leg, the origin remains the same as for the 20-day cycle at 4,202.2, and price declines to meet the rising 40-day FLD at 3,913.0 X(2), providing a downside target estimate of 3,623.7. The actual 40-week cycle trough came in at 3,661.5.
 
The origin price of the 40-day cycle is the same as that of the first 20-day cycle at 3,807.5. Price rallies and crosses the falling 40-day FLD at 4,031.5 X(1), generating an upside target estimate of 4,254.7. This is undershot by 52 points, again because longer cycles are pressing price down into an upcoming 40-week cycle trough.

Summary: FLDs are replica cycles that help the analyst estimate targets and work out the magnitude of recent peaks and troughs. Theoretically, when prices cross up through a falling FLD, we are halfway to the peak. When prices cross down through a rising FLD, we are halfway to the trough. The influence of longer cycles on a cycle of interest can cause price to either undershoot or overshoot the theoretical target, providing us with useful information about underlying trend strength and direction.