Markets Data Volatility Heatmap Portfolio Calculator

AON Deep Analytical Report

Aon plc | Category: Equity Mega Cap | Ann. Div Yield: 0.90% ($2.91) | Last Updated: 2026-02-22 | Data Range: 1980-06-01 → 2026-02-01 (549 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 1.73% 1.49% 1.51% 1.96% 1.52% 1.68% 320.17 330.04 315.35 335.09
Weekly 3.87% 4.01% 3.91% 4.56% 3.34% 3.70% 314.38 336.12 304.05 347.54
Monthly 7.39% 8.64% 7.53% 10.19% 6.96% 7.70% 303.22 348.49 282.84 373.60
Quarterly 11.57% 12.96% 11.55% 17.33% 12.05% 13.33% 288.16 366.70 255.45 413.67
Annual — — — — 24.10% 26.67% 255.45 413.67 200.74 526.41
Option Time Horizon — — — — 9.27% 10.26% 296.29 356.65 270.06 391.29
Calculation Notes: Computed at 2026-02-22T14:19 UTC  |  Reference Contract: Call option expiring 2026-04-17 (54 days)  |  Spot Price (S): $325.07  |  Strike (K): $330.00 (first OTM call ≥ spot)  |  Observed Mid-Price: $10.5000 (Bid $9.8000 / Ask $11.2000)  |  Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury)  |  Dividend Yield (q): 0.90%  |  Binomial IV (Annual): 24.10% (CRR binomial tree, American, n=20 steps)  |  BS IV: 24.35% (European Black-Scholes)  |  Yahoo IV (Annual): 26.67% → 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
2025-08-01 $0.7450
2025-05-01 $0.7450
2025-02-03 $0.6750
2024-11-01 $0.6750
2024-08-01 $0.6750
2024-04-30 $0.6750
2024-01-31 $0.6150
2023-10-31 $0.6150
2023-07-31 $0.6150
2023-04-28 $0.6150
2023-01-31 $0.5600
2022-10-31 $0.5600
2022-07-29 $0.5600
2022-04-29 $0.5600
2022-01-31 $0.5100
2021-10-29 $0.5100
2021-07-30 $0.5100
2021-04-30 $0.5100
2021-01-29 $0.4600
2020-10-30 $0.4600
2020-07-31 $0.4400
2020-04-30 $0.4400
2020-01-31 $0.4400
2019-10-31 $0.4400
2019-07-31 $0.4400
2019-04-30 $0.4400
2019-01-31 $0.4000
2018-10-31 $0.4000
2018-08-09 $0.4000
2018-07-31 $0.4000
2018-04-30 $0.4000
2018-01-31 $0.3600
2017-10-31 $0.3600
2017-07-28 $0.3600
2017-04-27 $0.3600
2017-01-30 $0.3300
2016-10-28 $0.3300
2016-07-28 $0.3300
2016-04-28 $0.3300
2016-01-28 $0.3000
2015-10-29 $0.3000
2015-07-30 $0.3000
2015-04-29 $0.3000
2015-01-29 $0.2500
2014-10-30 $0.2500
2014-07-30 $0.2500
2014-04-29 $0.2500
2014-01-30 $0.1750
2013-10-30 $0.1750
2013-07-30 $0.1750
2013-04-29 $0.1750
2013-01-30 $0.1580
2012-10-31 $0.1580
2012-07-30 $0.1580
2012-04-27 $0.1580
2012-01-30 $0.1500
2011-10-28 $0.1500
2011-07-28 $0.1500
2011-04-28 $0.1500
2011-01-28 $0.1500
2010-10-28 $0.1500
2010-07-29 $0.1500
2010-04-29 $0.1500
2010-01-28 $0.1500
2009-10-29 $0.1500
2009-07-30 $0.1500
2009-04-29 $0.1500
2009-01-29 $0.1500
2008-10-30 $0.1500
2008-07-30 $0.1500
2008-04-29 $0.1500
2008-01-30 $0.1500
2007-10-30 $0.1500
2007-07-30 $0.1500
2007-04-27 $0.1500
2007-01-30 $0.1500
2006-10-30 $0.1500
2006-07-28 $0.1500
2006-04-28 $0.1500
2006-01-30 $0.1500
2005-10-28 $0.1500
2005-07-29 $0.1500
2005-04-29 $0.1500
2005-02-01 $0.1500
2004-10-29 $0.1500
2004-07-30 $0.1500
2004-04-30 $0.1500
2004-02-06 $0.1500
2003-10-31 $0.1500
2003-08-01 $0.1500
2003-04-29 $0.1500
2003-02-10 $0.1500
2002-11-06 $0.1500
2002-07-30 $0.2250
2002-04-30 $0.2250
2002-02-08 $0.2250
2001-10-30 $0.2250
2001-07-31 $0.2250
2001-05-01 $0.2250
2001-02-06 $0.2200
2000-10-31 $0.2200
2000-07-28 $0.2200
2000-04-28 $0.2200
2000-02-04 $0.2100
1999-10-29 $0.2100
1999-07-30 $0.2100
1999-04-30 $0.2067
1999-02-05 $0.1867
1998-10-30 $0.1867
1998-08-03 $0.1867
1998-05-01 $0.1867
1998-02-06 $0.1733
1997-10-31 $0.1733
1997-08-01 $0.1733
1997-04-29 $0.1733
1997-02-07 $0.1600
1996-10-15 $0.1600
1996-07-30 $0.1600
1996-04-30 $0.1600
1996-02-06 $0.1511
1995-10-31 $0.1511
1995-07-28 $0.1511
1995-04-26 $0.1511
1995-02-03 $0.1422
1994-10-26 $0.1422
1994-07-27 $0.1422
1994-04-28 $0.1422
1994-02-02 $0.1333
1993-10-27 $0.1333
1993-07-28 $0.1333
1993-04-28 $0.1333
1993-01-28 $0.1244
1992-10-28 $0.1244
1992-07-29 $0.1244
1992-04-29 $0.1244
1992-01-30 $0.1185
1991-10-30 $0.1185
1991-07-31 $0.1185
1991-05-01 $0.1185
1991-01-31 $0.1126
1990-10-31 $0.1126
1990-08-01 $0.1126
1990-05-02 $0.1126
1990-02-01 $0.1037
1989-11-01 $0.1037
1989-08-02 $0.1037
1989-05-03 $0.1037
1989-02-02 $0.0948
1988-11-02 $0.0948
1988-08-03 $0.0948
1988-04-27 $0.0948
1988-01-27 $0.0889
1984-07-26 $0.0770
1984-04-26 $0.0770
1984-02-03 $0.0741
1983-10-27 $0.0741
1983-07-28 $0.0741
1983-05-03 $0.0741
1983-01-28 $0.0741
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Left Skewed (Negative Asymmetry) with a Skewness factor of -0.71. Further, an Excess Kurtosis of 26.83 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -5.12%820.71%0.71%
-5.12% to -3.83%950.82%1.54%
-3.83% to -2.53%3182.76%4.30%
-2.53% to -1.23%126610.99%15.28%
-1.23% to 0.07%420536.50%51.78%
0.07% to 1.36%380833.05%84.83%
1.36% to 2.66%120710.48%95.30%
2.66% to 3.96%3553.08%98.39%
3.96% to 5.25%1151.00%99.38%
Greater than 5.25%710.62%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -1.67%1.79% 79.90%68.27%
±2σ -3.40%3.52% 95.82%95.45%
±3σ -5.12%5.25% 98.67%99.73%
Descriptive Statistics
Mean0.065%
Standard Error0.016%
Median0.000%
Mode0.000%
Standard Deviation1.730%
Sample Variance2.994%
Kurtosis26.83
Skewness-0.71
Range52.419%
Minimum-30.330%
Maximum22.089%
Count11522
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.211% 5707 49.53% 0.600%
Negative -1.184% 5207 45.19% -0.535%
Zero 0.000% 608 5.28% 0.000%
Average True Range Percentage (ATRP)
Trading Days Horizon Average Daily True Range %
5 1 Week 1.96%
20 1 Month 2.93%
60 1 Quarter 2.09%
250 1 Year 2.05%
750 3 Years 1.81%
1,250 5 Years 1.96%
2,500 10 Years 1.88%
5,000 20 Years 1.96%
12,500 50 Years 2.12%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.32. Further, an Excess Kurtosis of 40.03 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -2.46%00.00%0.00%
-2.46% to -1.33%00.00%0.00%
-1.33% to -0.21%00.00%0.00%
-0.21% to 0.91%136511.85%11.85%
0.91% to 2.03%603552.37%64.22%
2.03% to 3.15%258022.39%86.61%
3.15% to 4.27%8627.48%94.09%
4.27% to 5.39%3493.03%97.12%
5.39% to 6.51%1361.18%98.30%
Greater than 6.51%1961.70%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 0.53%3.52% 88.25%68.27%
±2σ -0.96%5.02% 96.40%95.45%
±3σ -2.46%6.51% 98.30%99.73%
Descriptive Statistics
Mean2.027%
Standard Error0.014%
Median1.658%
Mode1.370%
Standard Deviation1.494%
Sample Variance2.231%
Kurtosis40.03
Skewness4.32
Range31.148%
Minimum0.220%
Maximum31.368%
Count11523
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.027% 11523 100.00% 2.027%
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 Fairly Symmetrical with a Skewness factor of 0.41. Further, an Excess Kurtosis of 10.95 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -4.59%720.62%0.62%
-4.59% to -3.45%1211.05%1.67%
-3.45% to -2.32%3753.25%4.93%
-2.32% to -1.19%133011.54%16.47%
-1.19% to -0.05%360831.31%47.78%
-0.05% to 1.08%414936.01%83.79%
1.08% to 2.21%132011.46%95.24%
2.21% to 3.35%3493.03%98.27%
3.35% to 4.48%1060.92%99.19%
Greater than 4.48%930.81%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -1.56%1.46% 78.30%68.27%
±2σ -3.08%2.97% 95.30%95.45%
±3σ -4.59%4.48% 98.57%99.73%
Descriptive Statistics
Mean-0.054%
Standard Error0.014%
Median0.000%
Mode0.000%
Standard Deviation1.511%
Sample Variance2.283%
Kurtosis10.95
Skewness0.41
Range36.645%
Minimum-17.577%
Maximum19.068%
Count11523
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 1.090% 5169 44.86% 0.489%
Negative -1.107% 5650 49.03% -0.543%
Zero 0.000% 704 6.11% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.12. Further, an Excess Kurtosis of 6.86 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -11.28%170.71%0.71%
-11.28% to -8.38%251.05%1.76%
-8.38% to -5.48%763.19%4.95%
-5.48% to -2.58%27711.61%16.55%
-2.58% to 0.32%78933.07%49.62%
0.32% to 3.21%82034.37%83.99%
3.21% to 6.11%25510.69%94.68%
6.11% to 9.01%833.48%98.16%
9.01% to 11.91%251.05%99.20%
Greater than 11.91%190.80%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -3.55%4.18% 79.00%68.27%
±2σ -7.42%8.05% 95.18%95.45%
±3σ -11.28%11.91% 98.49%99.73%
Descriptive Statistics
Mean0.315%
Standard Error0.079%
Median0.335%
Mode0.000%
Standard Deviation3.866%
Sample Variance14.949%
Kurtosis6.86
Skewness-0.12
Range51.656%
Minimum-27.638%
Maximum24.018%
Count2386
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.772% 1283 53.77% 1.491%
Negative -2.645% 1061 44.47% -1.176%
Zero 0.000% 42 1.76% 0.000%
Average True Range Percentage (ATRP)
Weeks Horizon Average Weekly True Range %
4 1 Month 7.91%
12 1 Quarter 4.98%
52 1 Year 4.80%
156 3 Years 4.24%
260 5 Years 4.56%
520 10 Years 4.33%
1,040 20 Years 4.44%
2,600 50 Years 5.05%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.92. Further, an Excess Kurtosis of 44.59 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -6.84%00.00%0.00%
-6.84% to -3.83%00.00%0.00%
-3.83% to -0.82%00.00%0.00%
-0.82% to 2.19%2068.63%8.63%
2.19% to 5.20%134956.51%65.14%
5.20% to 8.21%53722.50%87.64%
8.21% to 11.22%1727.21%94.85%
11.22% to 14.23%612.56%97.40%
14.23% to 17.24%220.92%98.32%
Greater than 17.24%401.68%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 1.19%9.21% 90.83%68.27%
±2σ -2.83%13.22% 96.82%95.45%
±3σ -6.84%17.24% 98.32%99.73%
Descriptive Statistics
Mean5.199%
Standard Error0.082%
Median4.192%
Mode5.000%
Standard Deviation4.013%
Sample Variance16.100%
Kurtosis44.59
Skewness4.92
Range63.896%
Minimum0.690%
Maximum64.586%
Count2387
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 5.199% 2387 100.00% 5.199%
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 1.35. Further, an Excess Kurtosis of 12.80 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -11.87%140.59%0.59%
-11.87% to -8.94%140.59%1.17%
-8.94% to -6.00%783.27%4.44%
-6.00% to -3.07%28611.98%16.42%
-3.07% to -0.14%84535.40%51.82%
-0.14% to 2.80%79633.35%85.17%
2.80% to 5.73%2329.72%94.89%
5.73% to 8.66%773.23%98.11%
8.66% to 11.60%210.88%98.99%
Greater than 11.60%241.01%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -4.05%3.77% 80.02%68.27%
±2σ -7.96%7.69% 95.35%95.45%
±3σ -11.87%11.60% 98.41%99.73%
Descriptive Statistics
Mean-0.137%
Standard Error0.080%
Median-0.284%
Mode0.000%
Standard Deviation3.912%
Sample Variance15.304%
Kurtosis12.80
Skewness1.35
Range58.271%
Minimum-20.797%
Maximum37.474%
Count2387
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 2.764% 1074 44.99% 1.244%
Negative -2.614% 1261 52.83% -1.381%
Zero 0.000% 52 2.18% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.23. Further, an Excess Kurtosis of 6.06 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -20.86%30.55%0.55%
-20.86% to -15.32%71.28%1.82%
-15.32% to -9.78%213.83%5.66%
-9.78% to -4.23%7313.32%18.98%
-4.23% to 1.31%16329.74%48.72%
1.31% to 6.85%18433.58%82.30%
6.85% to 12.39%7213.14%95.44%
12.39% to 17.94%183.28%98.72%
17.94% to 23.48%50.91%99.64%
Greater than 23.48%20.36%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -6.08%8.70% 77.01%68.27%
±2σ -13.47%16.09% 95.44%95.45%
±3σ -20.86%23.48% 99.09%99.73%
Descriptive Statistics
Mean1.309%
Standard Error0.316%
Median1.503%
Mode0.000%
Standard Deviation7.390%
Sample Variance54.611%
Kurtosis6.06
Skewness0.23
Range88.429%
Minimum-35.313%
Maximum53.116%
Count548
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 5.712% 326 59.49% 3.398%
Negative -5.276% 217 39.60% -2.089%
Zero 0.000% 5 0.91% 0.000%
Average True Range Percentage (ATRP)
Months Horizon Average Monthly True Range %
3 1 Quarter 9.94%
12 1 Year 9.74%
36 3 Years 9.81%
60 5 Years 10.19%
120 10 Years 9.61%
240 20 Years 9.49%
600 50 Years 11.05%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.07. Further, an Excess Kurtosis of 25.22 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -13.96%00.00%0.00%
-13.96% to -7.47%00.00%0.00%
-7.47% to -0.99%00.00%0.00%
-0.99% to 5.49%549.84%9.84%
5.49% to 11.97%30856.10%65.94%
11.97% to 18.46%12122.04%87.98%
18.46% to 24.94%376.74%94.72%
24.94% to 31.42%152.73%97.45%
31.42% to 37.90%50.91%98.36%
Greater than 37.90%91.64%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 3.33%20.62% 91.07%68.27%
±2σ -5.31%29.26% 96.54%95.45%
±3σ -13.96%37.90% 98.36%99.73%
Descriptive Statistics
Mean11.974%
Standard Error0.369%
Median9.976%
Mode12.500%
Standard Deviation8.643%
Sample Variance74.698%
Kurtosis25.22
Skewness4.07
Range85.747%
Minimum2.165%
Maximum87.912%
Count549
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 11.974% 549 100.00% 11.974%
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 1.31. Further, an Excess Kurtosis of 7.51 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -23.15%10.18%0.18%
-23.15% to -17.50%20.36%0.55%
-17.50% to -11.86%162.91%3.46%
-11.86% to -6.21%8014.57%18.03%
-6.21% to -0.57%20336.98%55.01%
-0.57% to 5.07%15628.42%83.42%
5.07% to 10.72%5910.75%94.17%
10.72% to 16.36%203.64%97.81%
16.36% to 22.00%40.73%98.54%
Greater than 22.00%81.46%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -8.10%6.95% 78.87%68.27%
±2σ -15.62%14.48% 96.17%95.45%
±3σ -23.15%22.00% 98.36%99.73%
Descriptive Statistics
Mean-0.571%
Standard Error0.321%
Median-1.109%
Mode0.000%
Standard Deviation7.525%
Sample Variance56.618%
Kurtosis7.51
Skewness1.31
Range87.058%
Minimum-34.884%
Maximum52.174%
Count549
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 6.011% 220 40.07% 2.409%
Negative -5.080% 322 58.65% -2.980%
Zero 0.000% 7 1.27% 0.000%
Close-to-Close Returns
Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.04. Further, an Excess Kurtosis of 0.83 proves the distribution possesses Normal Tails (Mesokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -30.94%10.55%0.55%
-30.94% to -22.26%31.64%2.19%
-22.26% to -13.58%84.37%6.56%
-13.58% to -4.90%2513.66%20.22%
-4.90% to 3.78%5228.42%48.63%
3.78% to 12.46%5831.69%80.33%
12.46% to 21.14%2513.66%93.99%
21.14% to 29.82%63.28%97.27%
29.82% to 38.49%52.73%100.00%
Greater than 38.49%00.00%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -7.80%15.35% 73.22%68.27%
±2σ -19.37%26.92% 94.54%95.45%
±3σ -30.94%38.50% 99.45%99.73%
Descriptive Statistics
Mean3.776%
Standard Error0.856%
Median4.068%
Mode6.479%
Standard Deviation11.573%
Sample Variance133.937%
Kurtosis0.83
Skewness0.04
Range69.232%
Minimum-32.890%
Maximum36.342%
Count183
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 9.661% 124 67.76% 6.546%
Negative -8.590% 59 32.24% -2.769%
Zero 0.000% 0 0.00% 0.000%
Average True Range Percentage (ATRP)
Quarters Horizon Average Quarterly True Range %
4 1 Year 12.51%
12 3 Years 16.12%
20 5 Years 17.33%
40 10 Years 16.47%
80 20 Years 16.25%
200 50 Years 19.46%
High-to-Low Returns
Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.58. Further, an Excess Kurtosis of 8.41 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -17.04%00.00%0.00%
-17.04% to -7.31%00.00%0.00%
-7.31% to 2.41%00.00%0.00%
2.41% to 12.13%2413.04%13.04%
12.13% to 21.86%9451.09%64.13%
21.86% to 31.58%4222.83%86.96%
31.58% to 41.30%105.43%92.39%
41.30% to 51.02%63.26%95.65%
51.02% to 60.75%31.63%97.28%
Greater than 60.75%52.72%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ 8.89%34.82% 85.87%68.27%
±2σ -4.07%47.78% 95.11%95.45%
±3σ -17.04%60.75% 97.28%99.73%
Descriptive Statistics
Mean21.856%
Standard Error0.956%
Median19.026%
Mode20.000%
Standard Deviation12.964%
Sample Variance168.058%
Kurtosis8.41
Skewness2.58
Range81.506%
Minimum6.406%
Maximum87.912%
Count184
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 21.856% 184 100.00% 21.856%
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 1.03. Further, an Excess Kurtosis of 2.70 proves the distribution possesses Fat Tails (Higher Outlier Risk).
Bin Distribution Over Raw Range
Bin / RangeFrequencyProbCum. Prob
Less than -36.59%00.00%0.00%
-36.59% to -27.93%00.00%0.00%
-27.93% to -19.27%73.80%3.80%
-19.27% to -10.61%3116.85%20.65%
-10.61% to -1.95%6535.33%55.98%
-1.95% to 6.72%5027.17%83.15%
6.72% to 15.38%1910.33%93.48%
15.38% to 24.04%73.80%97.28%
24.04% to 32.70%31.63%98.91%
Greater than 32.70%21.09%100.00%
Standard Deviation Interval Analysis
SDLower BndUpper Bnd Actual %Normal %
±1σ -13.49%9.60% 76.63%68.27%
±2σ -25.04%21.15% 94.57%95.45%
±3σ -36.59%32.70% 98.91%99.73%
Descriptive Statistics
Mean-1.945%
Standard Error0.851%
Median-3.306%
Mode-4.972%
Standard Deviation11.549%
Sample Variance133.384%
Kurtosis2.70
Skewness1.03
Range76.842%
Minimum-26.316%
Maximum50.526%
Count184
Frequency Breakdown
CategoryAvg ReturnCountProbabilityFreq Adj Return
Positive 10.387% 61 33.15% 3.443%
Negative -8.061% 123 66.85% -5.389%
Zero 0.000% 0 0.00% 0.000%