Markets Data Volatility Heatmap Portfolio Calculator

AFL Deep Analytical Report

Aflac Incorporated | Category: Equity Mega Cap | Ann. Div Yield: 2.18% ($2.32) | Last Updated: 2026-03-24 | Data Range: 1980-03-01 → 2026-03-01 (553 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% 1.62% 1.80% 104.80 108.25 103.12 110.02
Weekly 4.64% 5.34% 4.80% 4.34% 3.56% 3.96% 102.78 110.37 99.18 114.38
Monthly 8.54% 12.50% 9.16% 9.38% 7.42% 8.25% 98.89 114.71 91.82 123.55
Quarterly 13.26% 22.17% 13.60% 14.62% 12.85% 14.28% 93.67 121.11 82.37 137.72
Annual — — — — 25.70% 28.57% 82.37 137.72 63.70 178.08
Option Time Horizon — — — — 9.70% 10.78% 96.66 117.36 87.73 129.31
Calculation Notes: Computed at 2026-03-23T16:34 UTC  |  Reference Contract: Call option expiring 2026-05-15 (52 days)  |  Spot Price (S): $106.51  |  Strike (K): $110.00 (first OTM call ≥ spot)  |  Observed Mid-Price: $2.7750 (Bid $2.3500 / Ask $3.2000)  |  Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 2.18%  |  Binomial IV (Annual): 25.70% (CRR binomial tree, American, n=20 steps)  |  BS IV: 25.87% (European Black-Scholes)  |  Yahoo IV (Annual): 28.57% → 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 33.99 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%770.67%1.29%
-4.97% to -3.28%2982.58%3.86%
-3.28% to -1.60%116010.03%13.89%
-1.60% to 0.09%455839.39%53.28%
0.09% to 1.78%384233.21%86.49%
1.78% to 3.46%10569.13%95.62%
3.46% to 5.15%2972.57%98.18%
5.15% to 6.84%1231.06%99.25%
Greater than 6.84%870.75%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -2.16%2.34% 82.03%68.27%
±2σ -4.41%4.59% 95.64%95.45%
±3σ -6.66%6.84% 98.63%99.73%
Descriptive Statistics
Mean0.090%
Standard Error0.021%
Median0.000%
Mode0.000%
Standard Deviation2.249%
Sample Variance5.058%
Kurtosis33.99
Skewness0.48
Range79.911%
Minimum-36.862%
Maximum43.049%
Count11570
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.539% 5617 48.55% 0.747%
Negative -1.460% 5201 44.95% -0.656%
Zero 0.000% 752 6.50% 0.000%
Average True Range Percentage (ATRP)
Trading Days Horizon Average Daily True Range %
5 1 Week 1.86%
20 1 Month 1.85%
60 1 Quarter 1.91%
250 1 Year 1.87%
750 3 Years 1.74%
1,250 5 Years 1.88%
2,500 10 Years 1.89%
5,000 20 Years 2.33%
12,500 50 Years 2.55%
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 67.81 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -3.63%00.00%0.00%
-3.63% to -2.12%00.00%0.00%
-2.12% to -0.61%00.00%0.00%
-0.61% to 0.91%9868.52%8.52%
0.91% to 2.42%655956.68%65.21%
2.42% to 3.94%258322.32%87.53%
3.94% to 5.45%8677.49%95.02%
5.45% to 6.96%2732.36%97.38%
6.96% to 8.48%1181.02%98.40%
Greater than 8.48%1851.60%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 0.40%4.44% 90.77%68.27%
±2σ -1.62%6.46% 96.73%95.45%
±3σ -3.64%8.48% 98.41%99.73%
Descriptive Statistics
Mean2.422%
Standard Error0.019%
Median1.883%
Mode1.613%
Standard Deviation2.019%
Sample Variance4.074%
Kurtosis67.81
Skewness5.58
Range51.449%
Minimum0.272%
Maximum51.721%
Count11571
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.422% 11571 100.00% 2.422%
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 33.19 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -5.78%750.65%0.65%
-5.78% to -4.34%1401.21%1.86%
-4.34% to -2.91%3362.90%4.76%
-2.91% to -1.48%117410.15%14.91%
-1.48% to -0.04%373032.24%47.14%
-0.04% to 1.40%436537.72%84.87%
1.40% to 2.83%121210.47%95.34%
2.83% to 4.26%3683.18%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% 80.97%68.27%
±2σ -3.87%3.79% 95.51%95.45%
±3σ -5.78%5.70% 98.69%99.73%
Descriptive Statistics
Mean-0.040%
Standard Error0.018%
Median0.000%
Mode0.000%
Standard Deviation1.913%
Sample Variance3.658%
Kurtosis33.19
Skewness1.17
Range64.134%
Minimum-23.479%
Maximum40.655%
Count11571
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.336% 5144 44.46% 0.594%
Negative -1.322% 5550 47.97% -0.634%
Zero 0.000% 877 7.58% 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 15.95 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 -10.02%150.62%1.29%
-10.02% to -6.54%702.92%4.21%
-6.54% to -3.06%25310.54%14.74%
-3.06% to 0.42%90537.69%52.44%
0.42% to 3.90%78132.53%84.96%
3.90% to 7.39%24310.12%95.09%
7.39% to 10.87%743.08%98.17%
10.87% to 14.35%220.92%99.08%
Greater than 14.35%220.92%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -4.22%5.07% 80.38%68.27%
±2σ -8.86%9.71% 95.96%95.45%
±3σ -13.51%14.35% 98.42%99.73%
Descriptive Statistics
Mean0.423%
Standard Error0.095%
Median0.226%
Mode0.000%
Standard Deviation4.643%
Sample Variance21.562%
Kurtosis15.95
Skewness0.22
Range95.497%
Minimum-50.704%
Maximum44.793%
Count2401
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 3.328% 1250 52.06% 1.733%
Negative -2.949% 1066 44.40% -1.309%
Zero 0.000% 85 3.54% 0.000%
Average True Range Percentage (ATRP)
Weeks Horizon Average Weekly True Range %
4 1 Month 3.78%
12 1 Quarter 4.25%
52 1 Year 4.15%
156 3 Years 3.98%
260 5 Years 4.34%
520 10 Years 4.35%
1,040 20 Years 5.33%
2,600 50 Years 5.96%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.79. Further, an Excess Kurtosis of 65.64 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -9.86%00.00%0.00%
-9.86% to -5.85%00.00%0.00%
-5.85% to -1.84%00.00%0.00%
-1.84% to 2.16%1877.79%7.79%
2.16% to 6.17%137257.12%64.90%
6.17% to 10.18%57223.81%88.72%
10.18% to 14.19%1707.08%95.80%
14.19% to 18.19%441.83%97.63%
18.19% to 22.20%140.58%98.21%
Greater than 22.20%431.79%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 0.83%11.51% 91.47%68.27%
±2σ -4.51%16.86% 97.13%95.45%
±3σ -9.86%22.20% 98.21%99.73%
Descriptive Statistics
Mean6.171%
Standard Error0.109%
Median4.918%
Mode5.882%
Standard Deviation5.343%
Sample Variance28.547%
Kurtosis65.64
Skewness5.79
Range103.077%
Minimum0.799%
Maximum103.876%
Count2402
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.171% 2402 100.00% 6.171%
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 86.00 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -14.55%100.42%0.42%
-14.55% to -10.95%180.75%1.17%
-10.95% to -7.35%592.46%3.62%
-7.35% to -3.74%25210.49%14.11%
-3.74% to -0.14%89137.09%51.21%
-0.14% to 3.46%87236.30%87.51%
3.46% to 7.07%1998.28%95.80%
7.07% to 10.67%682.83%98.63%
10.67% to 14.27%140.58%99.21%
Greater than 14.27%190.79%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -4.94%4.66% 81.97%68.27%
±2σ -9.75%9.47% 96.75%95.45%
±3σ -14.55%14.27% 98.79%99.73%
Descriptive Statistics
Mean-0.140%
Standard Error0.098%
Median-0.231%
Mode0.000%
Standard Deviation4.804%
Sample Variance23.076%
Kurtosis86.00
Skewness4.48
Range129.009%
Minimum-28.907%
Maximum100.102%
Count2402
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 3.186% 1056 43.96% 1.401%
Negative -2.935% 1261 52.50% -1.541%
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 5.33 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.86%61.09%1.09%
-23.86% to -17.46%30.54%1.63%
-17.46% to -11.05%122.17%3.80%
-11.05% to -4.65%7413.41%17.21%
-4.65% to 1.76%18733.88%51.09%
1.76% to 8.16%17732.07%83.15%
8.16% to 14.57%6511.78%94.93%
14.57% to 20.97%142.54%97.46%
20.97% to 27.38%81.45%98.91%
Greater than 27.38%61.09%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -6.78%10.30% 78.26%68.27%
±2σ -15.32%18.84% 94.38%95.45%
±3σ -23.86%27.38% 97.83%99.73%
Descriptive Statistics
Mean1.756%
Standard Error0.363%
Median1.584%
Mode0.000%
Standard Deviation8.540%
Sample Variance72.928%
Kurtosis5.33
Skewness0.11
Range98.592%
Minimum-49.367%
Maximum49.225%
Count552
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.746% 322 58.33% 3.935%
Negative -5.417% 222 40.22% -2.179%
Zero 0.000% 8 1.45% 0.000%
Average True Range Percentage (ATRP)
Months Horizon Average Monthly True Range %
3 1 Quarter 7.15%
12 1 Year 8.11%
36 3 Years 8.60%
60 5 Years 9.38%
120 10 Years 9.36%
240 20 Years 11.34%
600 50 Years 12.67%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.98. Further, an Excess Kurtosis of 35.68 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.48%00.00%0.00%
-23.48% to -14.10%00.00%0.00%
-14.10% to -4.73%00.00%0.00%
-4.73% to 4.65%244.34%4.34%
4.65% to 14.02%34362.03%66.37%
14.02% to 23.39%13123.69%90.05%
23.39% to 32.77%346.15%96.20%
32.77% to 42.14%91.63%97.83%
42.14% to 51.52%20.36%98.19%
Greater than 51.52%101.81%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 1.52%26.52% 92.04%68.27%
±2σ -10.98%39.02% 97.83%95.45%
±3σ -23.48%51.52% 98.19%99.73%
Descriptive Statistics
Mean14.020%
Standard Error0.532%
Median11.194%
Mode8.333%
Standard Deviation12.499%
Sample Variance156.222%
Kurtosis35.68
Skewness4.98
Range140.232%
Minimum2.455%
Maximum142.687%
Count553
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 14.020% 553 100.00% 14.020%
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 2.87. Further, an Excess Kurtosis of 28.14 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -28.22%10.18%0.18%
-28.22% to -21.36%40.72%0.90%
-21.36% to -14.49%142.53%3.44%
-14.49% to -7.62%6912.48%15.91%
-7.62% to -0.75%20436.89%52.80%
-0.75% to 6.12%18433.27%86.08%
6.12% to 12.99%5810.49%96.56%
12.99% to 19.86%71.27%97.83%
19.86% to 26.72%50.90%98.73%
Greater than 26.72%71.27%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -9.91%8.41% 81.92%68.27%
±2σ -19.07%17.57% 96.02%95.45%
±3σ -28.22%26.72% 98.55%99.73%
Descriptive Statistics
Mean-0.750%
Standard Error0.389%
Median-1.235%
Mode0.000%
Standard Deviation9.158%
Sample Variance83.877%
Kurtosis28.14
Skewness2.87
Range135.247%
Minimum-35.549%
Maximum99.698%
Count553
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.462% 222 40.15% 2.594%
Negative -5.779% 320 57.87% -3.344%
Zero 0.000% 11 1.99% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.01. Further, an Excess Kurtosis of 1.50 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -34.63%10.54%0.54%
-34.63% to -24.69%21.09%1.63%
-24.69% to -14.75%105.43%7.07%
-14.75% to -4.81%189.78%16.85%
-4.81% to 5.13%5932.07%48.91%
5.13% to 15.07%6032.61%81.52%
15.07% to 25.01%2211.96%93.48%
25.01% to 34.96%84.35%97.83%
34.96% to 44.90%31.63%99.46%
Greater than 44.90%10.54%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -8.12%18.39% 73.91%68.27%
±2σ -21.38%31.64% 94.57%95.45%
±3σ -34.63%44.90% 98.91%99.73%
Descriptive Statistics
Mean5.132%
Standard Error0.977%
Median5.371%
Mode-47.281%
Standard Deviation13.255%
Sample Variance175.689%
Kurtosis1.50
Skewness-0.01
Range92.648%
Minimum-47.281%
Maximum45.367%
Count184
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 11.998% 122 66.30% 7.955%
Negative -8.379% 62 33.70% -2.823%
Zero 0.000% 0 0.00% 0.000%
Average True Range Percentage (ATRP)
Quarters Horizon Average Quarterly True Range %
4 1 Year 12.18%
12 3 Years 14.05%
20 5 Years 14.62%
40 10 Years 15.53%
80 20 Years 18.89%
200 50 Years 21.78%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.14. Further, an Excess Kurtosis of 22.02 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -40.82%00.00%0.00%
-40.82% to -24.19%00.00%0.00%
-24.19% to -7.56%00.00%0.00%
-7.56% to 9.07%84.32%4.32%
9.07% to 25.70%11763.24%67.57%
25.70% to 42.33%4122.16%89.73%
42.33% to 58.96%137.03%96.76%
58.96% to 75.59%00.00%96.76%
75.59% to 92.22%21.08%97.84%
Greater than 92.22%42.16%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 3.53%47.87% 92.97%68.27%
±2σ -18.64%70.04% 96.76%95.45%
±3σ -40.82%92.22% 97.84%99.73%
Descriptive Statistics
Mean25.699%
Standard Error1.630%
Median20.355%
Mode23.913%
Standard Deviation22.172%
Sample Variance491.578%
Kurtosis22.02
Skewness4.14
Range174.263%
Minimum6.900%
Maximum181.163%
Count185
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 25.699% 185 100.00% 25.699%
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 2.02. Further, an Excess Kurtosis of 11.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -43.50%00.00%0.00%
-43.50% to -33.30%00.00%0.00%
-33.30% to -23.09%73.78%3.78%
-23.09% to -12.89%2915.68%19.46%
-12.89% to -2.69%6635.68%55.14%
-2.69% to 7.51%5630.27%85.41%
7.51% to 17.72%158.11%93.51%
17.72% to 27.92%84.32%97.84%
27.92% to 38.12%21.08%98.92%
Greater than 38.12%21.08%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -16.29%10.91% 78.38%68.27%
±2σ -29.90%24.52% 96.76%95.45%
±3σ -43.50%38.12% 98.92%99.73%
Descriptive Statistics
Mean-2.689%
Standard Error1.000%
Median-4.046%
Mode-5.714%
Standard Deviation13.604%
Sample Variance185.064%
Kurtosis11.11
Skewness2.02
Range120.259%
Minimum-30.556%
Maximum89.703%
Count185
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 10.401% 65 35.13% 3.654%
Negative -9.779% 120 64.86% -6.343%
Zero 0.000% 0 0.00% 0.000%