Showing posts with label Statistics. Show all posts
Showing posts with label Statistics. Show all posts

Saturday, August 2, 2025

17-0 Turn-of-Year S&P 500 Setup with 7.1% Average Gain | Wayne Whaley

After the 20% pullback in the S&P 500 that occurred from February 19 to April 8, May, June, and July each posted positive returns of 6.2%, 5.0%, and 2.1%, respectively. In the 75 years following 1950, there have only been 17 instances in which the traditional "Sell in May and Go Away" period was marked by three consecutive positive months (May, June, and July): 

 From October 12 to October 27, the performance was 2 wins to 15 losses, with an average loss of 3.0%.
From October 27 to January 18, the record was 17-0, with an average gain of 7.1%.
 
Looking at the following 12 months, from August through July, the outcome was favorable, with a record of 14 wins and 3 losses in this setup. The average gain over this period was 12.6%, compared to a more typical yearly gain of 9.5%.

Interestingly, the only negative month during the following year was October. Specifically, from October 12 to October 27, the performance was 2 wins to 15 losses, with an average loss of 3.0%. However, from October 27 to January 18, the trend reversed dramatically, posting a perfect 17-0 record with an average gain of 7.1% over 11.7 weeks.

Tuesday, July 15, 2025

S&P 500 Rally Returns to Midpoint of Long-Term Channel | Deutsche Bank

The S&P 500 has rallied about 25% in 3 months to hit record highs, which seems impressive. But it is only 2% above the February peak; i.e., over the last 5 months, it is up 5% at an annualized rate. And year-to-date, it is up 6.5%, or 12.5% at an annualized rate. In historical context, these numbers do not stand out.

The S&P 500 has just caught back up to the middle of its post Global Financial Crisis channel, 
and price gain so far this year is in line with the long-run median outside of recessions.
 
The median annual gain for the S&P 500 over the last 100 years is about 11.5%. And if one were to look only at years without recessions, it is 13%; for those with positive returns, the median is a whopping 19.5%. Indeed, the S&P 500 trends upward over time with occasional selloffs, and over the last 15 years—i.e., since the Global Financial Crisis (2007–2009)—it has been in a strong but wide channel rising at an annual rate of 12.5%. The rally has just taken it back to the middle of this channel, where it was at the February peak. 
 
 
  » Volatility is the toll we pay to invest. «
 
Since 1980 the median annual drawdown of the S&P 500 is 11% for all years,
and it's the same for election years (red boxes). 
 
»
US stock market is among the three most overvalued in 100 years. « 
 
 Dow Industrials Four-Year Presidential Cycle 2024-2027, Ned Davis Research, 2024.

Sunday, July 6, 2025

The S&P 500 Jumps 26% in 86 Calendar Days: What's Next? | Wayne Whaley

The S&P finished the 4th of July week at 6,279.35 and is now up 6.76% for 2025 and 13.4% over the last 12 rolling months (July 4 - July 4), currently residing at an All Time High for at least the three day weekend. 
 
You may recall that the S&P experienced an 18.9% selloff from the February 19th Close of 6,144.15 to the April 8th Close of 4,982.77, exceeding 20% if measured vs the April 8th intraday Low of 4,910.42. From that 4,982.77 Closing Low on April 8th, the S&P has now advanced 26.0%, doing so in less than a Quarter, 86 calendar days (April 8 - July 3) to be precise.  

The S&P surged 26% in just 86 days, reaching another all-time high, and has now risen 6.76% in 2025. 
Historical data shows similar rallies led to gains of 19.2%+ over the next year.
 
Looking back through post 1950 history, I can only find five prior occasions in which the S&P has advanced 25% in less than a Quarter and none of those five occasions were anywhere near an impending top. 

Certainly, one would prefer to have more than five data points from which to draw conclusions upon which to base one's market exposure but the magnitude and uniformity of the advances across the following 12 months in those five cases appears worthy of our respect. All five cases were positive over the following 1 to 12 months, up at least 19.2% one year later, 31.7% on average. None of the five cases experienced a 4% drawdown as measured from the signal Date.
 
July 5, 2025
 

Saturday, June 28, 2025

What the S&P Historically Did After Similar V-Shaped Rallies | SubuTrade

@SubuTrade highlights a rare V-shaped recovery in the S&P 500, surging 18% from a low on April 7, 2025 to a new high by June 27, 2025, a pattern historically linked to strong gains, with data from 11 past instances showing an average 1-month gain of 2.0% and a 3-month gain of 6.9%, though outcomes vary widely (e.g., -8.1% to +17.7%).

S&P 500 after it rallies 18% to a 1 year high within 3 months (1927-present).

This rebound aligns with unexpected US-China trade talks resuming in May 2025, reducing tariffs from 145% to 30% and lifting export restrictions on rare earth minerals, a move that boosted market confidence despite initial fears of a recession, as reported by Reuters on June 27, 2025.

Historical analysis of similar recoveries suggests caution, as a 2020 study in the Journal of Financial Economics found V-shaped rallies often precede volatility, with a 30% chance of a correction within 6 months, challenging the bullish optimism.

 

See also: 

Saturday, May 17, 2025

"Three Day Whaley" Predicting 20% Average Annual Return | Wayne Whaley

When the S&P 500 experiences a one-day upside move of three standard deviations or more, there is often a tendency for the index to undergo some level of profit-taking (consolidation) over the next couple of days. However, if the index defies this tendency and follows the initial surge with two consecutive positive days, it signals strength. This pattern, known as the "Three Day Whaley," is a notable market move deserving of attention.

 The "Three Day Whaley" signal has a perfect 30-0 record since 1950
for predicting positive annual returns averaging 20.2%.

Volatility has increased over the past 75 years. The setup for this pattern requires the S&P to post a move on Day 1 that reflects the volatility during that specific period, followed by two consecutive positive days. The threshold for that initial move has evolved from around 2.25% in 1950 to 3.25% in 2025.

On May 12-14, the S&P met the criteria for this setup with a three-day sequence of 3.25%, 0.76%, and 0.10%—its first occurrence since March 26, 2020, which was followed by a 50.55% annual gain.

Since 1950, the S&P has gone 30-0 in the year following this setup, with an average annual gain of 20.2%. All 30 instances have seen at least a 7.5% gain, and only four of the 30 cases experienced a double-digit drawdown. The first-day threshold requirement can be found in column 3 (DAY1 THHLD) in the table above.

Sunday, March 24, 2024

S&P 500 March-April 2024 Seasonality │ Jeff Hirsch & Wayne Whaley

After 5 months of solid gains, are markets ready for a pause? Bullish Presidential Cycle Sitting President Pattern flattens out the mid-February to late-March seasonal retreat considerably without 2020 in the average.

 'Best Six Months' ends in April.

April is the final month of the “Best Six Months” for DJIA and the S&P 500. From our Seasonal MACD Buy Signal on October 9, 2023, through (March 21, 2024), DJIA is up 18.4% and S&P 500 is up 20.9%. Fueled by interest rate cut expectations and AI speculation, these gains are approximately double the historical average already and could continue to increase before the “Best Months” come to an end.


This AI-fueled bull market has enjoyed solid gains since last October and will likely continue to push higher in the near-term, but momentum does appear to be waning with the pace of gains slowing. With April and the end of DJIA’s and S&P 500’s “Best Six Months” quickly approaching we are going to begin shifting to a more cautious stance. We maintain our bullish stance for 2024, but that does not preclude the possibility of some weakness during spring and summer.
 
 
 
THE CORRELATION MODEL SEES A NEGATIVE LAST WEEK OF MARCH FOR THE S&P. Provided a time frame of interest, my correlation model calculates the Correlation Coefficients (-1 to +1) for the past performance of 4165 different time frames over the prior 3 months vs the performance for the time frame of interest in search of the period which has demonstrated the most barometric acumen in predicting the performance of the upcoming time frame of interest. 
 
This week I ask the model for it’s prognosis for the S&P in the last week of March. It responded that the prior ten calendar days (Mar10-24) had a very uncanny track record of forecasting the last week of March with those 2 time frames having a very strong NEGATIVE correlation which doesn’t bode well for next week given that March 10-24 was up 1.63% this year.  
 
Note the 3-10, March 24-31 performance in the far right category below in those 13 prior years where March 10-24 was greater than 1.2% for an avg wkly loss of 0.74% with 1% moves 1-7 to the downside.  This contrasts dramatically to the 11-2 performance when March 10-24 was less than -0.5%.  Fingers crossed that it is wrong this year. 
 
The outlook for April is much brighter. 
 
  
Reference: 
 
[ oftentimes true: ]
 
In Bull Markets, New Moons are Bottoms, and Full Moons are Tops. 
In Bear Markets, New Moons are Tops, and Full Moons are Bottoms.
 
The SoLunar Rhythm in March 2024.