MA - Detail Report

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	2.04%	1.86%	1.71%	2.08%	1.49%	1.64%	518.65	534.29	511.00	542.28
Weekly	4.35%	4.74%	4.32%	4.85%	3.27%	3.61%	509.47	543.91	493.08	561.99
Monthly	8.18%	9.08%	7.86%	10.24%	6.81%	7.52%	491.77	563.49	459.41	603.19
Quarterly	14.38%	16.27%	13.00%	16.11%	11.79%	13.02%	467.86	592.28	415.83	666.40
Annual	—	—	—	—	23.58%	26.04%	415.83	666.40	328.47	843.62
Option Time Horizon	—	—	—	—	9.07%	10.02%	480.76	576.39	439.08	631.11

Calculation Notes: Computed at 2026-02-22T14:25 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $526.41 | Strike (K): $530.00 (first OTM call ≥ spot) | Observed Mid-Price: $18.5000 (Bid $17.4500 / Ask $19.5500) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.61% | Binomial IV (Annual): 23.58% (CRR binomial tree, American, n=20 steps) | BS IV: 23.61% (European Black-Scholes) | Yahoo IV (Annual): 26.04% → period-scaled as σ_period = σ_annual·√h | Price bands: Upper = S·e^+σ√h, Lower = S·e^−σ√h

Historical Dividend Payouts

Ex-Dividend Date	Amount
2026-01-09	$0.8700
2025-10-09	$0.7600
2025-07-09	$0.7600
2025-04-09	$0.7600
2025-01-10	$0.7600
2024-10-09	$0.6600
2024-07-09	$0.6600
2024-04-08	$0.6600
2024-01-08	$0.6600
2023-10-05	$0.5700
2023-07-06	$0.5700
2023-04-05	$0.5700
2023-01-06	$0.5700
2022-10-06	$0.4900
2022-07-07	$0.4900
2022-04-07	$0.4900
2022-01-06	$0.4900
2021-10-07	$0.4400
2021-07-08	$0.4400
2021-04-08	$0.4400
2021-01-07	$0.4400
2020-10-08	$0.4000
2020-07-08	$0.4000
2020-04-08	$0.4000
2020-01-08	$0.4000
2019-10-08	$0.3300
2019-07-08	$0.3300
2019-04-08	$0.3300
2019-01-08	$0.3300
2018-10-05	$0.2500
2018-07-06	$0.2500
2018-04-06	$0.2500
2018-01-08	$0.2500
2017-10-05	$0.2200
2017-07-05	$0.2200
2017-04-05	$0.2200
2017-01-05	$0.2200
2016-10-05	$0.1900
2016-07-06	$0.1900
2016-04-06	$0.1900
2016-01-06	$0.1900
2015-10-07	$0.1600
2015-07-07	$0.1600
2015-04-07	$0.1600
2015-01-07	$0.1600
2014-10-07	$0.1100
2014-07-07	$0.1100
2014-04-07	$0.1100
2014-01-07	$0.1100
2013-10-07	$0.0600
2013-07-05	$0.0600
2013-04-05	$0.0600
2013-01-07	$0.0300
2012-10-05	$0.0300
2012-07-05	$0.0300
2012-04-04	$0.0300
2012-01-05	$0.0150
2011-10-05	$0.0150
2011-07-06	$0.0150
2011-04-06	$0.0150
2011-01-06	$0.0150
2010-10-07	$0.0150
2010-07-01	$0.0150
2010-04-07	$0.0150
2010-01-06	$0.0150
2009-10-07	$0.0150
2009-07-08	$0.0150
2009-04-08	$0.0150
2009-01-07	$0.0150
2008-10-08	$0.0150
2008-07-09	$0.0150
2008-04-07	$0.0150
2008-01-09	$0.0150
2007-10-17	$0.0150
2007-06-29	$0.0150
2007-04-04	$0.0150
2007-01-10	$0.0090
2006-10-05	$0.0090

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.67. Further, an Excess Kurtosis of 10.49 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -6.01%	36	0.73%	0.73%
-6.01% to -4.48%	57	1.15%	1.87%
-4.48% to -2.95%	162	3.26%	5.14%
-2.95% to -1.41%	479	9.65%	14.78%
-1.41% to 0.12%	1740	35.05%	49.83%
0.12% to 1.65%	1781	35.87%	85.70%
1.65% to 3.18%	493	9.93%	95.63%
3.18% to 4.71%	119	2.40%	98.03%
4.71% to 6.25%	51	1.03%	99.05%
Greater than 6.25%	47	0.95%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.93%	2.16%	80.42%	68.27%
±2σ	-3.97%	4.20%	94.84%	95.45%
±3σ	-6.01%	6.25%	98.33%	99.73%

Descriptive Statistics

Mean	0.118%
Standard Error	0.029%
Median	0.122%
Mode	-0.083%
Standard Deviation	2.043%
Sample Variance	4.172%
Kurtosis	10.49
Skewness	0.67
Range	33.571%
Minimum	-12.725%
Maximum	20.846%
Count	4965

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.355%	2672	53.82%	0.729%
Negative	-1.329%	2284	46.00%	-0.611%
Zero	0.000%	9	0.18%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.33%
20	1 Month	2.36%
60	1 Quarter	2.02%
250	1 Year	2.02%
750	3 Years	1.70%
1,250	5 Years	2.08%
2,500	10 Years	2.09%
5,000	20 Years	2.54%
12,500	50 Years	2.54%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.13. Further, an Excess Kurtosis of 15.59 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -3.17%	0	0.00%	0.00%
-3.17% to -1.78%	0	0.00%	0.00%
-1.78% to -0.38%	0	0.00%	0.00%
-0.38% to 1.01%	581	11.70%	11.70%
1.01% to 2.40%	2700	54.37%	66.07%
2.40% to 3.80%	990	19.94%	86.00%
3.80% to 5.19%	362	7.29%	93.29%
5.19% to 6.58%	152	3.06%	96.36%
6.58% to 7.98%	86	1.73%	98.09%
Greater than 7.98%	95	1.91%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.55%	4.26%	89.09%	68.27%
±2σ	-1.31%	6.12%	95.61%	95.45%
±3σ	-3.17%	7.98%	98.09%	99.73%

Descriptive Statistics

Mean	2.404%
Standard Error	0.026%
Median	1.856%
Mode	1.351%
Standard Deviation	1.858%
Sample Variance	3.451%
Kurtosis	15.59
Skewness	3.13
Range	20.954%
Minimum	0.410%
Maximum	21.364%
Count	4966

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.404%	4966	100.00%	2.404%
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 0.24. Further, an Excess Kurtosis of 6.93 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -5.17%	49	0.99%	0.99%
-5.17% to -3.89%	42	0.85%	1.83%
-3.89% to -2.60%	129	2.60%	4.43%
-2.60% to -1.32%	524	10.55%	14.98%
-1.32% to -0.03%	1828	36.81%	51.79%
-0.03% to 1.25%	1626	32.74%	84.53%
1.25% to 2.54%	512	10.31%	94.84%
2.54% to 3.83%	145	2.92%	97.76%
3.83% to 5.11%	64	1.29%	99.05%
Greater than 5.11%	47	0.95%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.74%	1.68%	79.48%	68.27%
±2σ	-3.46%	3.40%	94.68%	95.45%
±3σ	-5.17%	5.11%	98.07%	99.73%

Descriptive Statistics

Mean	-0.031%
Standard Error	0.024%
Median	-0.080%
Mode	0.000%
Standard Deviation	1.714%
Sample Variance	2.937%
Kurtosis	6.93
Skewness	0.24
Range	26.320%
Minimum	-12.391%
Maximum	13.929%
Count	4966

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.196%	2333	46.98%	0.562%
Negative	-1.120%	2626	52.88%	-0.592%
Zero	0.000%	7	0.14%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.67. Further, an Excess Kurtosis of 6.53 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -12.48%	10	0.97%	0.97%
-12.48% to -9.22%	8	0.78%	1.75%
-9.22% to -5.96%	36	3.50%	5.24%
-5.96% to -2.69%	114	11.07%	16.31%
-2.69% to 0.57%	333	32.33%	48.64%
0.57% to 3.83%	384	37.28%	85.92%
3.83% to 7.09%	95	9.22%	95.15%
7.09% to 10.35%	29	2.82%	97.96%
10.35% to 13.61%	8	0.78%	98.74%
Greater than 13.61%	13	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.78%	4.91%	77.77%	68.27%
±2σ	-8.13%	9.26%	94.47%	95.45%
±3σ	-12.48%	13.61%	97.77%	99.73%

Descriptive Statistics

Mean	0.566%
Standard Error	0.135%
Median	0.640%
Mode	-1.888%
Standard Deviation	4.348%
Sample Variance	18.903%
Kurtosis	6.53
Skewness	0.67
Range	49.727%
Minimum	-16.973%
Maximum	32.754%
Count	1030

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.959%	617	59.90%	1.773%
Negative	-3.010%	413	40.10%	-1.207%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	5.30%
12	1 Quarter	4.59%
52	1 Year	4.64%
156	3 Years	3.87%
260	5 Years	4.85%
520	10 Years	4.86%
1,040	20 Years	5.94%
2,600	50 Years	5.94%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.70. Further, an Excess Kurtosis of 10.07 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.08%	0	0.00%	0.00%
-8.08% to -4.52%	0	0.00%	0.00%
-4.52% to -0.96%	0	0.00%	0.00%
-0.96% to 2.60%	132	12.80%	12.80%
2.60% to 6.15%	559	54.22%	67.02%
6.15% to 9.71%	195	18.91%	85.94%
9.71% to 13.27%	74	7.18%	93.11%
13.27% to 16.83%	30	2.91%	96.02%
16.83% to 20.39%	15	1.45%	97.48%
Greater than 20.39%	26	2.52%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.41%	10.90%	88.17%	68.27%
±2σ	-3.33%	15.64%	95.05%	95.45%
±3σ	-8.08%	20.39%	97.48%	99.73%

Descriptive Statistics

Mean	6.154%
Standard Error	0.148%
Median	4.697%
Mode	3.376%
Standard Deviation	4.744%
Sample Variance	22.510%
Kurtosis	10.07
Skewness	2.70
Range	37.042%
Minimum	1.076%
Maximum	38.118%
Count	1031

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.154%	1031	100.00%	6.154%
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 Right Skewed (Positive Asymmetry) with a Skewness factor of 0.59. Further, an Excess Kurtosis of 5.35 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -13.21%	9	0.87%	0.87%
-13.21% to -9.97%	10	0.97%	1.84%
-9.97% to -6.73%	27	2.62%	4.46%
-6.73% to -3.49%	106	10.28%	14.74%
-3.49% to -0.25%	410	39.77%	54.51%
-0.25% to 2.99%	308	29.87%	84.38%
2.99% to 6.23%	104	10.09%	94.47%
6.23% to 9.47%	32	3.10%	97.58%
9.47% to 12.71%	11	1.07%	98.64%
Greater than 12.71%	14	1.36%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.57%	4.07%	79.24%	68.27%
±2σ	-8.89%	8.39%	94.28%	95.45%
±3σ	-13.21%	12.71%	97.77%	99.73%

Descriptive Statistics

Mean	-0.250%
Standard Error	0.135%
Median	-0.512%
Mode	-2.117%
Standard Deviation	4.319%
Sample Variance	18.657%
Kurtosis	5.35
Skewness	0.59
Range	46.993%
Minimum	-24.507%
Maximum	22.486%
Count	1031

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.182%	435	42.19%	1.343%
Negative	-2.754%	596	57.81%	-1.592%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.49. Further, an Excess Kurtosis of 2.77 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -22.15%	1	0.42%	0.42%
-22.15% to -16.01%	3	1.27%	1.69%
-16.01% to -9.88%	10	4.22%	5.91%
-9.88% to -3.74%	36	15.19%	21.10%
-3.74% to 2.39%	72	30.38%	51.48%
2.39% to 8.53%	76	32.07%	83.54%
8.53% to 14.67%	26	10.97%	94.51%
14.67% to 20.80%	7	2.95%	97.47%
20.80% to 26.94%	3	1.27%	98.73%
Greater than 26.94%	3	1.27%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.79%	10.57%	78.48%	68.27%
±2σ	-13.97%	18.76%	94.51%	95.45%
±3σ	-22.15%	26.94%	98.31%	99.73%

Descriptive Statistics

Mean	2.394%
Standard Error	0.531%
Median	2.239%
Mode	-6.177%
Standard Deviation	8.181%
Sample Variance	66.925%
Kurtosis	2.77
Skewness	0.49
Range	64.203%
Minimum	-26.889%
Maximum	37.314%
Count	237

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.956%	148	62.45%	4.344%
Negative	-5.192%	89	37.55%	-1.950%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	9.88%
12	1 Year	9.42%
36	3 Years	8.27%
60	5 Years	10.24%
120	10 Years	10.57%
240	20 Years	12.63%
600	50 Years	12.63%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.41. Further, an Excess Kurtosis of 8.23 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -13.59%	0	0.00%	0.00%
-13.59% to -6.78%	0	0.00%	0.00%
-6.78% to 0.03%	0	0.00%	0.00%
0.03% to 6.84%	40	16.81%	16.81%
6.84% to 13.66%	116	48.74%	65.55%
13.66% to 20.47%	46	19.33%	84.87%
20.47% to 27.28%	22	9.24%	94.12%
27.28% to 34.10%	6	2.52%	96.64%
34.10% to 40.91%	3	1.26%	97.90%
Greater than 40.91%	5	2.10%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.57%	22.74%	86.97%	68.27%
±2σ	-4.51%	31.83%	95.38%	95.45%
±3σ	-13.59%	40.91%	97.90%	99.73%

Descriptive Statistics

Mean	13.658%
Standard Error	0.589%
Median	10.562%
Mode	5.946%
Standard Deviation	9.084%
Sample Variance	82.524%
Kurtosis	8.23
Skewness	2.41
Range	61.730%
Minimum	2.945%
Maximum	64.675%
Count	238

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	13.658%	238	100.00%	13.658%
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 Right Skewed (Positive Asymmetry) with a Skewness factor of 0.77. Further, an Excess Kurtosis of 3.51 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -25.16%	1	0.42%	0.42%
-25.16% to -19.26%	3	1.26%	1.68%
-19.26% to -13.37%	7	2.94%	4.62%
-13.37% to -7.48%	30	12.61%	17.23%
-7.48% to -1.58%	83	34.87%	52.10%
-1.58% to 4.31%	70	29.41%	81.51%
4.31% to 10.20%	29	12.18%	93.70%
10.20% to 16.10%	9	3.78%	97.48%
16.10% to 21.99%	3	1.26%	98.74%
Greater than 21.99%	3	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-9.44%	6.27%	76.89%	68.27%
±2σ	-17.30%	14.13%	94.96%	95.45%
±3σ	-25.16%	21.99%	98.32%	99.73%

Descriptive Statistics

Mean	-1.583%
Standard Error	0.509%
Median	-1.979%
Mode	-0.913%
Standard Deviation	7.858%
Sample Variance	61.742%
Kurtosis	3.51
Skewness	0.77
Range	64.301%
Minimum	-25.644%
Maximum	38.657%
Count	238

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.230%	83	34.87%	2.173%
Negative	-5.767%	155	65.13%	-3.756%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.85. Further, an Excess Kurtosis of 3.86 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -35.89%	1	1.27%	1.27%
-35.89% to -25.11%	0	0.00%	1.27%
-25.11% to -14.32%	1	1.27%	2.53%
-14.32% to -3.54%	9	11.39%	13.92%
-3.54% to 7.25%	31	39.24%	53.16%
7.25% to 18.03%	27	34.18%	87.34%
18.03% to 28.82%	5	6.33%	93.67%
28.82% to 39.60%	2	2.53%	96.20%
39.60% to 50.38%	1	1.27%	97.47%
Greater than 50.38%	2	2.53%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.13%	21.63%	83.54%	68.27%
±2σ	-21.51%	36.00%	94.94%	95.45%
±3σ	-35.89%	50.38%	96.20%	99.73%

Descriptive Statistics

Mean	7.247%
Standard Error	1.618%
Median	6.781%
Mode	-39.398%
Standard Deviation	14.379%
Sample Variance	206.762%
Kurtosis	3.86
Skewness	0.85
Range	101.151%
Minimum	-39.398%
Maximum	61.753%
Count	79

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	13.264%	55	69.62%	9.234%
Negative	-6.540%	24	30.38%	-1.987%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	11.06%
12	3 Years	14.12%
20	5 Years	16.11%
40	10 Years	18.08%
80	20 Years	22.37%
200	50 Years	22.37%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.52. Further, an Excess Kurtosis of 8.37 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -23.62%	0	0.00%	0.00%
-23.62% to -11.42%	0	0.00%	0.00%
-11.42% to 0.79%	0	0.00%	0.00%
0.79% to 12.99%	13	16.25%	16.25%
12.99% to 25.19%	41	51.25%	67.50%
25.19% to 37.40%	16	20.00%	87.50%
37.40% to 49.60%	3	3.75%	91.25%
49.60% to 61.80%	3	3.75%	95.00%
61.80% to 74.01%	3	3.75%	98.75%
Greater than 74.01%	1	1.25%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	8.92%	41.47%	88.75%	68.27%
±2σ	-7.35%	57.74%	95.00%	95.45%
±3σ	-23.62%	74.01%	98.75%	99.73%

Descriptive Statistics

Mean	25.193%
Standard Error	1.819%
Median	21.372%
Mode	8.860%
Standard Deviation	16.272%
Sample Variance	264.766%
Kurtosis	8.37
Skewness	2.52
Range	97.772%
Minimum	8.860%
Maximum	106.632%
Count	80

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	25.193%	80	100.00%	25.193%
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 1.58. Further, an Excess Kurtosis of 8.63 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -43.97%	0	0.00%	0.00%
-43.97% to -34.22%	1	1.25%	1.25%
-34.22% to -24.48%	3	3.75%	5.00%
-24.48% to -14.73%	7	8.75%	13.75%
-14.73% to -4.98%	33	41.25%	55.00%
-4.98% to 4.77%	26	32.50%	87.50%
4.77% to 14.52%	6	7.50%	95.00%
14.52% to 24.27%	3	3.75%	98.75%
24.27% to 34.02%	0	0.00%	98.75%
Greater than 34.02%	1	1.25%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-17.98%	8.02%	82.50%	68.27%
±2σ	-30.97%	21.02%	97.50%	95.45%
±3σ	-43.97%	34.02%	98.75%	99.73%

Descriptive Statistics

Mean	-4.978%
Standard Error	1.453%
Median	-6.606%
Mode	-38.030%
Standard Deviation	12.998%
Sample Variance	168.939%
Kurtosis	8.63
Skewness	1.58
Range	100.708%
Minimum	-38.030%
Maximum	62.678%
Count	80

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.591%	27	33.75%	2.562%
Negative	-11.380%	53	66.25%	-7.539%
Zero	0.000%	0	0.00%	0.000%

MA Deep Analytical Report