Markets Data Volatility Heatmap Portfolio Calculator

AFL Deep Analytical Report

Aflac Incorporated | Category: Equity Mega Cap | Ann. Div Yield: 2.06% ($2.32) | Last Updated: 2026-02-22 | Data Range: 1980-03-01 → 2026-02-01 (552 months)
Quick Overview
Timeframe C-C DoR σ
(Historical)		 H-L DoR σ
(Historical)		 O-C DoR σ
(Historical)		 5Y ATRP
(Avg)		 Binomial IV
(Period)		 Yahoo IV
(Period)		 1σ Lower
(68.27%)		 1σ Upper 2σ Lower
(95.45%)		 2σ Upper
Daily 2.25% 2.02% 1.91% 1.88% 1.41% 1.55% 112.44 115.65 110.86 117.29
Weekly 4.65% 5.35% 4.81% 4.37% 3.10% 3.42% 110.55 117.62 107.18 121.32
Monthly 8.54% 12.51% 9.16% 9.43% 6.45% 7.12% 106.91 121.63 100.23 129.73
Quarterly 13.24% 22.19% 13.59% 14.43% 11.17% 12.33% 101.98 127.51 91.20 142.58
Annual — — — — 22.34% 24.66% 91.20 142.58 72.94 178.28
Option Time Horizon — — — — 10.59% 11.69% 102.57 126.77 92.26 140.93
Calculation Notes: Computed at 2026-02-22T14:19 UTC  |  Reference Contract: Call option expiring 2026-05-15 (82 days)  |  Spot Price (S): $114.03  |  Strike (K): $115.00 (first OTM call ≥ spot)  |  Observed Mid-Price: $4.5500 (Bid $4.2000 / Ask $4.9000)  |  Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 2.06%  |  Binomial IV (Annual): 22.34% (CRR binomial tree, American, n=20 steps)  |  BS IV: 22.39% (European Black-Scholes)  |  Yahoo IV (Annual): 24.66% → period-scaled as σperiod = σannual·√h  |  Price bands: Upper = S·e+σ√h, Lower = S·e−σ√h
Historical Dividend Payouts
Ex-Dividend Date Amount
2026-02-18 $0.6100
2025-11-19 $0.5800
2025-08-20 $0.5800
2025-05-21 $0.5800
2025-02-19 $0.5800
2024-11-20 $0.5000
2024-08-21 $0.5000
2024-05-21 $0.5000
2024-02-20 $0.5000
2023-11-14 $0.4200
2023-08-22 $0.4200
2023-05-16 $0.4200
2023-02-14 $0.4200
2022-11-15 $0.4000
2022-08-23 $0.4000
2022-05-17 $0.4000
2022-02-15 $0.4000
2021-11-16 $0.3300
2021-08-17 $0.3300
2021-05-18 $0.3300
2021-02-16 $0.3300
2020-11-17 $0.2800
2020-08-18 $0.2800
2020-05-19 $0.2800
2020-02-18 $0.2800
2019-11-19 $0.2700
2019-08-20 $0.2700
2019-05-21 $0.2700
2019-02-19 $0.2700
2018-11-20 $0.2600
2018-08-21 $0.2600
2018-05-22 $0.2600
2018-02-20 $0.2600
2017-11-14 $0.2250
2017-08-21 $0.2150
2017-05-22 $0.2150
2017-02-13 $0.2150
2016-11-14 $0.2150
2016-08-22 $0.2050
2016-05-16 $0.2050
2016-02-11 $0.2050
2015-11-16 $0.2050
2015-08-17 $0.1950
2015-05-18 $0.1950
2015-02-12 $0.1950
2014-11-17 $0.1950
2014-08-18 $0.1850
2014-05-19 $0.1850
2014-02-12 $0.1850
2013-11-18 $0.1850
2013-08-19 $0.1750
2013-05-20 $0.1750
2013-02-13 $0.1750
2012-11-09 $0.1750
2012-08-13 $0.1650
2012-05-14 $0.1650
2012-02-13 $0.1650
2011-11-14 $0.1650
2011-08-15 $0.1500
2011-05-16 $0.1500
2011-02-11 $0.1500
2010-11-15 $0.1500
2010-08-16 $0.1400
2010-05-17 $0.1400
2010-02-11 $0.1400
2009-11-16 $0.1400
2009-08-17 $0.1400
2009-05-18 $0.1400
2009-02-13 $0.1400
2008-11-17 $0.1200
2008-08-18 $0.1200
2008-05-19 $0.1200
2008-02-15 $0.1200
2007-11-14 $0.1025
2007-08-15 $0.1025
2007-05-16 $0.1025
2007-02-14 $0.0925
2006-11-15 $0.0800
2006-08-16 $0.0650
2006-05-17 $0.0650
2006-02-15 $0.0650
2005-11-16 $0.0550
2005-08-17 $0.0550
2005-05-18 $0.0550
2005-02-16 $0.0550
2004-11-09 $0.0475
2004-08-11 $0.0475
2004-05-12 $0.0475
2004-02-11 $0.0475
2003-11-10 $0.0400
2003-08-12 $0.0400
2003-05-13 $0.0350
2003-02-12 $0.0350
2002-11-12 $0.0300
2002-08-13 $0.0300
2002-05-14 $0.0300
2002-02-12 $0.0250
2001-11-13 $0.0250
2001-08-14 $0.0250
2001-05-15 $0.0250
2001-02-13 $0.0213
2000-11-14 $0.0213
2000-08-15 $0.0213
2000-05-16 $0.0213
2000-02-15 $0.0187
1999-11-16 $0.0187
1999-08-17 $0.0187
1999-05-18 $0.0187
1999-02-16 $0.0163
1998-11-17 $0.0163
1998-08-18 $0.0163
1998-05-19 $0.0163
1998-02-17 $0.0144
1997-11-18 $0.0144
1997-08-19 $0.0144
1997-05-20 $0.0144
1997-02-18 $0.0125
1996-11-13 $0.0125
1996-08-14 $0.0125
1996-05-15 $0.0125
1996-02-14 $0.0108
1995-11-15 $0.0108
1995-08-16 $0.0108
1995-05-15 $0.0108
1995-02-13 $0.0096
1994-11-14 $0.0096
1994-08-15 $0.0096
1994-05-16 $0.0096
1994-02-14 $0.0083
1993-11-05 $0.0083
1993-08-09 $0.0083
1993-05-10 $0.0083
1993-02-08 $0.0073
1992-11-06 $0.0073
1992-08-10 $0.0073
1992-05-11 $0.0073
1992-02-10 $0.0067
1991-11-08 $0.0067
1991-08-12 $0.0060
1991-05-13 $0.0060
1991-02-11 $0.0060
1990-11-09 $0.0060
1990-08-13 $0.0053
1990-05-14 $0.0053
1990-02-12 $0.0053
1989-11-13 $0.0053
1989-08-14 $0.0047
1989-05-15 $0.0047
1989-02-13 $0.0047
1988-11-14 $0.0047
1988-08-08 $0.0040
1988-05-09 $0.0040
1988-02-08 $0.0040
1987-11-09 $0.0040
1987-08-10 $0.0037
1987-05-11 $0.0037
1987-02-09 $0.0037
1986-11-10 $0.0037
1986-08-11 $0.0033
1986-05-09 $0.0033
1986-02-04 $0.0025
1985-11-08 $0.0030
1985-08-09 $0.0030
1985-05-09 $0.0020
1985-02-08 $0.0027
1984-10-22 $0.0027
1984-08-09 $0.0023
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.48. Further, an Excess Kurtosis of 33.94 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -6.66%720.62%0.62%
-6.66% to -4.97%760.66%1.28%
-4.97% to -3.29%2982.58%3.86%
-3.29% to -1.60%116110.05%13.91%
-1.60% to 0.09%454839.38%53.29%
0.09% to 1.78%383433.20%86.49%
1.78% to 3.47%10539.12%95.61%
3.47% to 5.16%2982.58%98.19%
5.16% to 6.84%1221.06%99.25%
Greater than 6.84%870.75%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -2.16%2.34% 82.00%68.27%
±2σ -4.41%4.59% 95.63%95.45%
±3σ -6.66%6.84% 98.62%99.73%
Descriptive Statistics
Mean0.091%
Standard Error0.021%
Median0.000%
Mode0.000%
Standard Deviation2.251%
Sample Variance5.065%
Kurtosis33.94
Skewness0.48
Range79.911%
Minimum-36.862%
Maximum43.049%
Count11549
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.541% 5607 48.55% 0.748%
Negative -1.462% 5190 44.94% -0.657%
Zero 0.000% 752 6.51% 0.000%
Average True Range Percentage (ATRP)
Trading Days Horizon Average Daily True Range %
5 1 Week 1.67%
20 1 Month 2.35%
60 1 Quarter 1.77%
250 1 Year 1.88%
750 3 Years 1.76%
1,250 5 Years 1.88%
2,500 10 Years 1.89%
5,000 20 Years 2.33%
12,500 50 Years 2.56%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.58. Further, an Excess Kurtosis of 67.70 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -3.64%00.00%0.00%
-3.64% to -2.12%00.00%0.00%
-2.12% to -0.61%00.00%0.00%
-0.61% to 0.91%9898.56%8.56%
0.91% to 2.42%653856.61%65.17%
2.42% to 3.94%258622.39%87.56%
3.94% to 5.45%8617.45%95.01%
5.45% to 6.97%2732.36%97.38%
6.97% to 8.48%1201.04%98.42%
Greater than 8.48%1831.58%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 0.40%4.44% 90.79%68.27%
±2σ -1.62%6.46% 96.74%95.45%
±3σ -3.64%8.48% 98.42%99.73%
Descriptive Statistics
Mean2.424%
Standard Error0.019%
Median1.883%
Mode1.613%
Standard Deviation2.020%
Sample Variance4.081%
Kurtosis67.70
Skewness5.58
Range51.449%
Minimum0.272%
Maximum51.721%
Count11550
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.424% 11550 100.00% 2.424%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.17. Further, an Excess Kurtosis of 33.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -5.78%740.64%0.64%
-5.78% to -4.35%1381.19%1.84%
-4.35% to -2.91%3392.94%4.77%
-2.91% to -1.48%117310.16%14.93%
-1.48% to -0.04%372032.21%47.13%
-0.04% to 1.39%435737.72%84.86%
1.39% to 2.83%121010.48%95.33%
2.83% to 4.26%3683.19%98.52%
4.26% to 5.70%940.81%99.33%
Greater than 5.70%770.67%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -1.95%1.87% 80.95%68.27%
±2σ -3.87%3.79% 95.50%95.45%
±3σ -5.78%5.70% 98.69%99.73%
Descriptive Statistics
Mean-0.041%
Standard Error0.018%
Median0.000%
Mode0.000%
Standard Deviation1.914%
Sample Variance3.664%
Kurtosis33.15
Skewness1.17
Range64.134%
Minimum-23.479%
Maximum40.655%
Count11550
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.337% 5132 44.43% 0.594%
Negative -1.324% 5541 47.97% -0.635%
Zero 0.000% 877 7.59% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.22. Further, an Excess Kurtosis of 15.93 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -13.51%160.67%0.67%
-13.51% to -10.03%150.63%1.29%
-10.03% to -6.54%702.92%4.21%
-6.54% to -3.06%25310.55%14.77%
-3.06% to 0.43%90337.67%52.44%
0.43% to 3.91%77932.50%84.94%
3.91% to 7.40%24510.22%95.16%
7.40% to 10.88%723.00%98.16%
10.88% to 14.37%220.92%99.08%
Greater than 14.37%220.92%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -4.22%5.07% 80.35%68.27%
±2σ -8.87%9.72% 95.95%95.45%
±3σ -13.51%14.36% 98.41%99.73%
Descriptive Statistics
Mean0.427%
Standard Error0.095%
Median0.226%
Mode0.000%
Standard Deviation4.646%
Sample Variance21.587%
Kurtosis15.93
Skewness0.22
Range95.497%
Minimum-50.704%
Maximum44.793%
Count2397
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 3.330% 1249 52.11% 1.735%
Negative -2.950% 1063 44.35% -1.308%
Zero 0.000% 85 3.55% 0.000%
Average True Range Percentage (ATRP)
Weeks Horizon Average Weekly True Range %
4 1 Month 5.32%
12 1 Quarter 3.90%
52 1 Year 4.19%
156 3 Years 4.04%
260 5 Years 4.37%
520 10 Years 4.35%
1,040 20 Years 5.33%
2,600 50 Years 5.97%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.78. Further, an Excess Kurtosis of 65.56 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -9.87%00.00%0.00%
-9.87% to -5.86%00.00%0.00%
-5.86% to -1.85%00.00%0.00%
-1.85% to 2.16%1877.80%7.80%
2.16% to 6.17%136857.05%64.85%
6.17% to 10.18%57223.85%88.70%
10.18% to 14.20%1707.09%95.79%
14.20% to 18.20%441.83%97.62%
18.20% to 22.21%140.58%98.21%
Greater than 22.21%431.79%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 0.83%11.52% 91.45%68.27%
±2σ -4.52%16.87% 97.12%95.45%
±3σ -9.87%22.21% 98.21%99.73%
Descriptive Statistics
Mean6.174%
Standard Error0.109%
Median4.918%
Mode5.882%
Standard Deviation5.347%
Sample Variance28.585%
Kurtosis65.56
Skewness5.78
Range103.077%
Minimum0.799%
Maximum103.876%
Count2398
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.174% 2398 100.00% 6.174%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.48. Further, an Excess Kurtosis of 85.94 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -14.56%100.42%0.42%
-14.56% to -10.96%180.75%1.17%
-10.96% to -7.35%582.42%3.59%
-7.35% to -3.75%25310.55%14.14%
-3.75% to -0.14%89037.11%51.25%
-0.14% to 3.46%86936.24%87.49%
3.46% to 7.07%1998.30%95.79%
7.07% to 10.67%682.84%98.62%
10.67% to 14.28%140.58%99.21%
Greater than 14.28%190.79%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -4.95%4.66% 82.15%68.27%
±2σ -9.76%9.47% 96.79%95.45%
±3σ -14.56%14.28% 98.79%99.73%
Descriptive Statistics
Mean-0.143%
Standard Error0.098%
Median-0.236%
Mode0.000%
Standard Deviation4.807%
Sample Variance23.105%
Kurtosis85.94
Skewness4.48
Range129.009%
Minimum-28.907%
Maximum100.102%
Count2398
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 3.188% 1053 43.91% 1.400%
Negative -2.937% 1260 52.54% -1.543%
Zero 0.000% 85 3.54% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.11. Further, an Excess Kurtosis of 5.34 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.85%61.09%1.09%
-23.85% to -17.45%30.54%1.63%
-17.45% to -11.04%132.36%3.99%
-11.04% to -4.63%7213.07%17.06%
-4.63% to 1.77%18733.94%51.00%
1.77% to 8.18%17732.12%83.12%
8.18% to 14.59%6511.80%94.92%
14.59% to 20.99%142.54%97.46%
20.99% to 27.40%81.45%98.91%
Greater than 27.40%61.09%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -6.77%10.31% 78.22%68.27%
±2σ -15.31%18.86% 94.37%95.45%
±3σ -23.85%27.40% 97.82%99.73%
Descriptive Statistics
Mean1.772%
Standard Error0.364%
Median1.597%
Mode0.000%
Standard Deviation8.542%
Sample Variance72.964%
Kurtosis5.34
Skewness0.11
Range98.592%
Minimum-49.367%
Maximum49.225%
Count551
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.749% 322 58.44% 3.944%
Negative -5.416% 221 40.11% -2.172%
Zero 0.000% 8 1.45% 0.000%
Average True Range Percentage (ATRP)
Months Horizon Average Monthly True Range %
3 1 Quarter 6.21%
12 1 Year 8.07%
36 3 Years 8.77%
60 5 Years 9.43%
120 10 Years 9.37%
240 20 Years 11.33%
600 50 Years 12.68%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.97. Further, an Excess Kurtosis of 35.62 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.49%00.00%0.00%
-23.49% to -14.11%00.00%0.00%
-14.11% to -4.73%00.00%0.00%
-4.73% to 4.65%244.35%4.35%
4.65% to 14.03%34261.96%66.30%
14.03% to 23.41%13123.73%90.04%
23.41% to 32.79%346.16%96.20%
32.79% to 42.17%91.63%97.83%
42.17% to 51.55%20.36%98.19%
Greater than 51.55%101.81%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 1.53%26.54% 92.03%68.27%
±2σ -10.98%39.05% 97.83%95.45%
±3σ -23.49%51.55% 98.19%99.73%
Descriptive Statistics
Mean14.032%
Standard Error0.532%
Median11.197%
Mode8.333%
Standard Deviation12.507%
Sample Variance156.435%
Kurtosis35.62
Skewness4.97
Range140.232%
Minimum2.455%
Maximum142.687%
Count552
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 14.032% 552 100.00% 14.032%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.88. Further, an Excess Kurtosis of 28.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -28.25%10.18%0.18%
-28.25% to -21.38%40.72%0.91%
-21.38% to -14.51%142.54%3.44%
-14.51% to -7.63%6912.50%15.94%
-7.63% to -0.76%20336.78%52.72%
-0.76% to 6.11%18433.33%86.05%
6.11% to 12.98%5810.51%96.56%
12.98% to 19.85%71.27%97.83%
19.85% to 26.73%50.91%98.73%
Greater than 26.73%71.27%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -9.93%8.40% 82.07%68.27%
±2σ -19.09%17.56% 96.01%95.45%
±3σ -28.25%26.73% 98.55%99.73%
Descriptive Statistics
Mean-0.763%
Standard Error0.390%
Median-1.260%
Mode0.000%
Standard Deviation9.163%
Sample Variance83.960%
Kurtosis28.15
Skewness2.88
Range135.247%
Minimum-35.549%
Maximum99.698%
Count552
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.466% 221 40.04% 2.589%
Negative -5.782% 320 57.97% -3.352%
Zero 0.000% 11 1.99% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.02. Further, an Excess Kurtosis of 1.52 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -34.55%10.54%0.54%
-34.55% to -24.62%21.09%1.63%
-24.62% to -14.69%105.43%7.07%
-14.69% to -4.76%189.78%16.85%
-4.76% to 5.17%5932.07%48.91%
5.17% to 15.10%6032.61%81.52%
15.10% to 25.03%2211.96%93.48%
25.03% to 34.96%84.35%97.83%
34.96% to 44.89%31.63%99.46%
Greater than 44.89%10.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -8.07%18.41% 73.91%68.27%
±2σ -21.31%31.65% 94.57%95.45%
±3σ -34.55%44.89% 98.91%99.73%
Descriptive Statistics
Mean5.169%
Standard Error0.976%
Median5.371%
Mode-47.281%
Standard Deviation13.240%
Sample Variance175.302%
Kurtosis1.52
Skewness-0.02
Range92.648%
Minimum-47.281%
Maximum45.367%
Count184
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 11.928% 123 66.85% 7.974%
Negative -8.459% 61 33.15% -2.804%
Zero 0.000% 0 0.00% 0.000%
Average True Range Percentage (ATRP)
Quarters Horizon Average Quarterly True Range %
4 1 Year 11.23%
12 3 Years 13.73%
20 5 Years 14.43%
40 10 Years 15.44%
80 20 Years 18.84%
200 50 Years 21.76%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.13. Further, an Excess Kurtosis of 21.97 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -40.89%00.00%0.00%
-40.89% to -24.25%00.00%0.00%
-24.25% to -7.61%00.00%0.00%
-7.61% to 9.04%94.86%4.86%
9.04% to 25.68%11662.70%67.57%
25.68% to 42.32%4122.16%89.73%
42.32% to 58.96%137.03%96.76%
58.96% to 75.60%00.00%96.76%
75.60% to 92.24%21.08%97.84%
Greater than 92.24%42.16%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 3.49%47.86% 92.97%68.27%
±2σ -18.70%70.05% 96.76%95.45%
±3σ -40.89%92.24% 97.84%99.73%
Descriptive Statistics
Mean25.676%
Standard Error1.631%
Median20.355%
Mode23.913%
Standard Deviation22.188%
Sample Variance492.301%
Kurtosis21.97
Skewness4.13
Range174.263%
Minimum6.900%
Maximum181.163%
Count185
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 25.676% 185 100.00% 25.676%
Negative 0.000% 0 0.00% 0.000%
Zero 0.000% 0 0.00% 0.000%
Open-to-Close Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.03. Further, an Excess Kurtosis of 11.18 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -43.51%00.00%0.00%
-43.51% to -33.31%00.00%0.00%
-33.31% to -23.11%73.78%3.78%
-23.11% to -12.92%2714.59%18.38%
-12.92% to -2.73%6736.22%54.59%
-2.73% to 7.47%5730.81%85.41%
7.47% to 17.66%158.11%93.51%
17.66% to 27.86%84.32%97.84%
27.86% to 38.05%21.08%98.92%
Greater than 38.05%21.08%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -16.32%10.87% 78.38%68.27%
±2σ -29.91%24.46% 96.76%95.45%
±3σ -43.50%38.05% 98.92%99.73%
Descriptive Statistics
Mean-2.726%
Standard Error0.999%
Median-4.046%
Mode-5.714%
Standard Deviation13.593%
Sample Variance184.771%
Kurtosis11.18
Skewness2.03
Range120.259%
Minimum-30.556%
Maximum89.703%
Count185
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 10.491% 64 34.59% 3.629%
Negative -9.716% 121 65.41% -6.355%
Zero 0.000% 0 0.00% 0.000%