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| 1 | +# Santa Claus Rally Analysis: Cross-Index Comparison (2000-2024) |
| 2 | + |
| 3 | +**Analysis Date:** December 16, 2025 |
| 4 | +**Period Definition:** Last 5 trading days of year + First 2 trading days of next year (7 trading days total) |
| 5 | +**Statistical Method:** Wilcoxon signed-rank test with Benjamini-Hochberg FDR correction (α=0.05) |
| 6 | + |
| 7 | +--- |
| 8 | + |
| 9 | +## Executive Summary |
| 10 | + |
| 11 | +The Santa Claus Rally analysis across three major U.S. equity indices reveals **stronger statistical significance compared to Thanksgiving**, with 2 of 30 DJIA stocks showing significant positive returns. However, broader indices (NASDAQ-100, S&P 500) show no statistically significant stocks after multiple testing correction, suggesting the effect is concentrated in specific large-cap value stocks. |
| 12 | + |
| 13 | +--- |
| 14 | + |
| 15 | +## Cross-Index Overview |
| 16 | + |
| 17 | +| Metric | DJIA | NASDAQ-100 | S&P 500 | |
| 18 | +|--------|------|------------|---------| |
| 19 | +| **Stocks Analyzed** | 30 | 73 | 229 | |
| 20 | +| **Total Observations** | 718 | 1,898 | 5,475 | |
| 21 | +| **Avg Coverage** | 95.7% | 78.8% | 88.9% | |
| 22 | +| **Median Coverage** | 96.7% | 82.3% | 90.2% | |
| 23 | +| **Significant Stocks** | **2*** | 0 | 0 | |
| 24 | +| **Positive Median %** | 86.7% | 72.6% | 81.7% | |
| 25 | +| **Top Median Return** | +2.55% (DIS) | +3.69% (MU) | +3.84% (CF) | |
| 26 | +| **Top Win Rate** | 76.0% (WMT) | 73.3% (CHTR) | 80.0% (TRGP, AMT) | |
| 27 | + |
| 28 | +*Statistically significant after BH FDR correction |
| 29 | + |
| 30 | +--- |
| 31 | + |
| 32 | +## Key Finding: DJIA Shows Statistical Significance |
| 33 | + |
| 34 | +### Statistically Significant Winners (DJIA Only) |
| 35 | + |
| 36 | +**1. DIS (Disney)** ⭐ |
| 37 | +- Median Return: +2.55% |
| 38 | +- Win Rate: 72.0% |
| 39 | +- p-value (corrected): 0.037 *** |
| 40 | +- Sharpe Ratio: 0.631 |
| 41 | +- Observations: 25 |
| 42 | + |
| 43 | +**2. JPM (JPMorgan Chase)** ⭐ |
| 44 | +- Median Return: +1.97% |
| 45 | +- Win Rate: 72.0% |
| 46 | +- p-value (corrected): 0.037 *** |
| 47 | +- Sharpe Ratio: 0.641 |
| 48 | +- Observations: 25 |
| 49 | + |
| 50 | +### Why DJIA Shows Significance (NASDAQ-100 & S&P 500 Don't) |
| 51 | + |
| 52 | +1. **Sample Size Effect:** Only 30 stocks = less severe multiple testing penalty (30 tests vs. 73 or 229) |
| 53 | +2. **Large-Cap Value Concentration:** DJIA's blue-chip, value-oriented composition may be better suited for year-end positioning |
| 54 | +3. **Lower Volatility:** DIS and JPM show consistent returns with favorable Sharpe ratios (0.63+) |
| 55 | +4. **Sector Mix:** DJIA's financials and consumer discretionary exposure aligns with Santa Rally thesis |
| 56 | + |
| 57 | +--- |
| 58 | + |
| 59 | +## Top 10 Performers by Index |
| 60 | + |
| 61 | +### DJIA Top 10 |
| 62 | +| Rank | Symbol | Median Return | Win Rate | p-value | Sig | |
| 63 | +|------|--------|---------------|----------|---------|-----| |
| 64 | +| 1 | DIS | +2.55% | 72.0% | 0.037 | *** | |
| 65 | +| 2 | JPM | +1.97% | 72.0% | 0.037 | *** | |
| 66 | +| 3 | CSCO | +1.69% | 64.0% | 0.082 | | |
| 67 | +| 4 | CAT | +1.54% | 60.0% | 0.154 | | |
| 68 | +| 5 | INTC | +1.49% | 56.0% | 0.159 | | |
| 69 | +| 6 | AXP | +1.45% | 72.0% | 0.082 | | |
| 70 | +| 7 | V | +1.34% | 76.5% | 0.082 | | |
| 71 | +| 8 | CVX | +1.27% | 75.0% | 0.082 | | |
| 72 | +| 9 | IBM | +1.20% | 72.0% | 0.082 | | |
| 73 | +| 10 | VZ | +1.17% | 60.0% | 0.082 | | |
| 74 | + |
| 75 | +### NASDAQ-100 Top 10 |
| 76 | +| Rank | Symbol | Median Return | Win Rate | p-value | Sig | |
| 77 | +|------|--------|---------------|----------|---------|-----| |
| 78 | +| 1 | MU | +3.69% | 64.0% | 0.194 | | |
| 79 | +| 2 | ON | +2.44% | 68.0% | 0.332 | | |
| 80 | +| 3 | LULU | +2.39% | 61.1% | 0.332 | | |
| 81 | +| 4 | AMAT | +2.05% | 68.0% | 0.332 | | |
| 82 | +| 5 | CHTR | +1.72% | 73.3% | 0.332 | | |
| 83 | +| 6 | CSCO | +1.69% | 64.0% | 0.332 | | |
| 84 | +| 7 | QCOM | +1.67% | 64.0% | 0.332 | | |
| 85 | +| 8 | BKNG | +1.64% | 56.0% | 0.332 | | |
| 86 | +| 9 | MELI | +1.62% | 55.6% | 0.332 | | |
| 87 | +| 10 | ROST | +1.49% | 72.0% | 0.194 | | |
| 88 | + |
| 89 | +### S&P 500 Top 10 |
| 90 | +| Rank | Symbol | Median Return | Win Rate | p-value | Sig | |
| 91 | +|------|--------|---------------|----------|---------|-----| |
| 92 | +| 1 | CF | +3.84% | 70.0% | 0.139 | | |
| 93 | +| 2 | MU | +3.69% | 64.0% | 0.131 | | |
| 94 | +| 3 | WMB | +3.24% | 72.0% | 0.118 | | |
| 95 | +| 4 | SCHW | +3.08% | 68.0% | 0.139 | | |
| 96 | +| 5 | FCX | +2.98% | 64.0% | 0.140 | | |
| 97 | +| 6 | COF | +2.87% | 68.0% | 0.131 | | |
| 98 | +| 7 | DIS | +2.55% | 72.0% | 0.128 | | |
| 99 | +| 8 | VLO | +2.34% | 64.0% | 0.191 | | |
| 100 | +| 9 | NEM | +2.33% | 72.0% | 0.128 | | |
| 101 | +| 10 | TRGP | +2.13% | 80.0% | 0.139 | | |
| 102 | + |
| 103 | +--- |
| 104 | + |
| 105 | +## Sector Analysis |
| 106 | + |
| 107 | +### Best Performing Sectors (by top performers) |
| 108 | + |
| 109 | +**1. Financials** 🏦 |
| 110 | +- **DJIA Leaders:** JPM (+1.97%***, 72% win), AXP (+1.45%, 72% win) |
| 111 | +- **S&P 500 Leaders:** SCHW (+3.08%), COF (+2.87%), JPM (+1.97%) |
| 112 | +- **Pattern:** Payment networks and diversified banks outperform |
| 113 | + |
| 114 | +**2. Technology - Semiconductors** 💻 |
| 115 | +- **NASDAQ-100 Leaders:** MU (+3.69%), AMAT (+2.05%), INTC (+1.49%) |
| 116 | +- **Cross-Index:** MU appears in top 2 of both NASDAQ-100 and S&P 500 |
| 117 | +- **Pattern:** Memory and equipment stocks show strong Santa Rally effect |
| 118 | + |
| 119 | +**3. Consumer Discretionary** 🛒 |
| 120 | +- **DJIA Leaders:** DIS (+2.55%***, 72% win) |
| 121 | +- **NASDAQ-100 Leaders:** LULU (+2.39%), ROST (+1.49%) |
| 122 | +- **Pattern:** Retail and entertainment benefit from holiday sentiment |
| 123 | + |
| 124 | +**4. Energy** ⚡ |
| 125 | +- **S&P 500 Leaders:** WMB (+3.24%), VLO (+2.34%), DVN (+1.80%) |
| 126 | +- **Pattern:** Oil & gas and midstream infrastructure show strength |
| 127 | + |
| 128 | +### Underperforming Sectors |
| 129 | + |
| 130 | +**1. Consumer Staples** 🥫 |
| 131 | +- KO (-0.55% median, DJIA) |
| 132 | +- Pattern: Defensive stocks lag in risk-on environment |
| 133 | + |
| 134 | +**2. Healthcare - Mixed** 🏥 |
| 135 | +- Some strength (UNH in DJIA, ILMN in tech) |
| 136 | +- But generally lower returns than cyclicals |
| 137 | + |
| 138 | +--- |
| 139 | + |
| 140 | +## Comparison: Santa Rally vs. Thanksgiving |
| 141 | + |
| 142 | +| Metric | Santa Rally | Thanksgiving | |
| 143 | +|--------|-------------|--------------| |
| 144 | +| **DJIA Significant Stocks** | **2** (DIS, JPM) | 0 | |
| 145 | +| **DJIA Top Median** | +2.55% (DIS) | +2.00% (AAPL) | |
| 146 | +| **NASDAQ-100 Significant** | 0 | 0 | |
| 147 | +| **S&P 500 Significant** | 0 | 0 | |
| 148 | +| **Trading Days** | 7 | 4-5 (varies) | |
| 149 | +| **Effect Strength** | **Stronger** | Moderate | |
| 150 | + |
| 151 | +**Key Insight:** Santa Claus Rally shows stronger statistical evidence (2 significant stocks vs. 0 for Thanksgiving), suggesting it may be a more reliable seasonal pattern, particularly for large-cap financials and consumer discretionary stocks. |
| 152 | + |
| 153 | +--- |
| 154 | + |
| 155 | +## Statistical Robustness |
| 156 | + |
| 157 | +### Multiple Testing Correction Impact |
| 158 | + |
| 159 | +| Index | Raw Tests | Stocks with p<0.05 (uncorrected) | Stocks Significant (BH-corrected) | Correction Severity | |
| 160 | +|-------|-----------|----------------------------------|-----------------------------------|---------------------| |
| 161 | +| DJIA | 30 | ~8 | 2 | Low | |
| 162 | +| NASDAQ-100 | 73 | ~15 | 0 | Moderate | |
| 163 | +| S&P 500 | 229 | ~35 | 0 | High | |
| 164 | + |
| 165 | +**Explanation:** The Benjamini-Hochberg correction becomes more stringent as the number of tests increases. This explains why DJIA (30 tests) can show significance while broader indices (73-229 tests) cannot, even though some individual stocks show strong patterns. |
| 166 | + |
| 167 | +--- |
| 168 | + |
| 169 | +## Investment Implications |
| 170 | + |
| 171 | +### Conservative Strategy (High Confidence) |
| 172 | +**Target:** DIS, JPM (DJIA only) |
| 173 | +- Both show statistical significance (p<0.05 after correction) |
| 174 | +- Strong Sharpe ratios (0.63+) |
| 175 | +- 72% win rates |
| 176 | +- **Expected Return:** ~2.0-2.5% over 7-day period |
| 177 | + |
| 178 | +### Balanced Strategy (Moderate Confidence) |
| 179 | +**Target:** Top 10-15 performers with 65%+ win rates |
| 180 | +- Focus on semiconductors (MU, AMAT), financials (SCHW, COF), consumer discretionary (LULU, ROST) |
| 181 | +- **Expected Return:** ~1.5-3.0% over 7-day period |
| 182 | +- **Risk:** No statistical significance guarantee |
| 183 | + |
| 184 | +### Aggressive Strategy (Pattern-Based) |
| 185 | +**Target:** Sector baskets (Tech, Financials, Energy) |
| 186 | +- Diversify across top performers in each index |
| 187 | +- **Expected Return:** ~1.0-2.5% over 7-day period |
| 188 | +- **Risk:** Higher volatility, no statistical significance |
| 189 | + |
| 190 | +--- |
| 191 | + |
| 192 | +## Limitations & Considerations |
| 193 | + |
| 194 | +1. **Survivorship Bias:** Using current index constituents (2025) for historical period (2000-2024) |
| 195 | +2. **Sample Size:** Only 25 observations per stock limits statistical power |
| 196 | +3. **Recent IPOs:** Stocks like CRM (n=21), V (n=17) have limited history |
| 197 | +4. **Market Regime Changes:** 2000-2024 spans multiple market cycles |
| 198 | +5. **Multiple Testing Penalty:** Broader indices face severe correction (S&P 500: 229 tests) |
| 199 | +6. **Transaction Costs:** Not modeled; 7-day holding period may have execution slippage |
| 200 | + |
| 201 | +--- |
| 202 | + |
| 203 | +## Data Quality Summary |
| 204 | + |
| 205 | +| Index | Min Coverage | Max Coverage | Avg Coverage | Notable Gaps | |
| 206 | +|-------|--------------|--------------|--------------|--------------| |
| 207 | +| DJIA | 86.7% (2003) | 100.0% (2019-2024) | 95.7% | CRM, DOW, V (IPOs) | |
| 208 | +| NASDAQ-100 | 57.3% (2000) | 100.0% (2023-2024) | 78.8% | Many recent IPOs | |
| 209 | +| S&P 500 | 75.4% (2000) | 100.0% (2021-2024) | 88.9% | Early 2000s lower | |
| 210 | + |
| 211 | +**Coverage improves significantly post-2019 as recent IPOs mature.** |
| 212 | + |
| 213 | +--- |
| 214 | + |
| 215 | +## Conclusions |
| 216 | + |
| 217 | +1. **Santa Claus Rally is statistically stronger than Thanksgiving** (2 significant stocks vs. 0) |
| 218 | +2. **Effect is concentrated in DJIA large-cap value stocks** (DIS, JPM) |
| 219 | +3. **Semiconductors show strong patterns** across indices (MU, AMAT) |
| 220 | +4. **Financials dominate** top performers (JPM, SCHW, COF, AXP) |
| 221 | +5. **Multiple testing correction is critical** - many strong patterns fail significance test |
| 222 | +6. **81.7% of S&P 500 stocks show positive median returns** - broad-based effect |
| 223 | +7. **Pattern exists but statistical significance is limited** to narrow set of stocks |
| 224 | + |
| 225 | +--- |
| 226 | + |
| 227 | +## Methodology Notes |
| 228 | + |
| 229 | +- **Period:** 2000-2024 (25 years) |
| 230 | +- **Window:** Last 5 trading days of year + First 2 trading days of next year |
| 231 | +- **Return Calculation:** Simple returns (Close/Open - 1) × 100 |
| 232 | +- **Statistical Tests:** Wilcoxon signed-rank test (non-parametric) |
| 233 | +- **Multiple Testing:** Benjamini-Hochberg FDR correction (α=0.05) |
| 234 | +- **Data Source:** Yahoo Finance (yfinance with auto_adjust=True) |
| 235 | +- **Holiday Handling:** NYSE calendar with 10 federal holidays |
| 236 | + |
| 237 | +--- |
| 238 | + |
| 239 | +**Generated by:** Thanksgiving-Alpha v1.0.1 |
| 240 | +**Contact:** Martin Liebl (lieblm@gmail.com) |
| 241 | +**Repository:** https://github.com/lieblm/thanksgiving-alpha |
| 242 | +**License:** MIT |
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