V - 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	1.79%	1.63%	1.53%	1.94%	1.48%	1.63%	316.23	325.74	311.57	330.61
Weekly	3.67%	3.85%	3.60%	4.55%	3.26%	3.60%	310.64	331.60	300.67	342.60
Monthly	6.40%	7.22%	6.32%	9.48%	6.80%	7.49%	299.87	343.52	280.17	367.67
Quarterly	9.55%	11.67%	9.87%	14.64%	11.77%	12.97%	285.31	361.04	253.63	406.13
Annual	—	—	—	—	23.54%	25.95%	253.63	406.13	200.44	513.92
Option Time Horizon	—	—	—	—	9.05%	9.98%	293.17	351.36	267.79	384.66

Calculation Notes: Computed at 2026-02-22T14:25 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $320.95 | Strike (K): $325.00 (first OTM call ≥ spot) | Observed Mid-Price: $10.4500 (Bid $9.8500 / Ask $11.0500) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.79% | Binomial IV (Annual): 23.54% (CRR binomial tree, American, n=20 steps) | BS IV: 23.74% (European Black-Scholes) | Yahoo IV (Annual): 25.95% → 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
2026-02-10	$0.6700
2025-11-12	$0.6700
2025-08-12	$0.5900
2025-05-13	$0.5900
2025-02-11	$0.5900
2024-11-12	$0.5900
2024-08-09	$0.5200
2024-05-16	$0.5200
2024-02-08	$0.5200
2023-11-08	$0.5200
2023-08-10	$0.4500
2023-05-11	$0.4500
2023-02-09	$0.4500
2022-11-09	$0.4500
2022-08-11	$0.3750
2022-05-12	$0.3750
2022-02-10	$0.3750
2021-11-10	$0.3750
2021-08-12	$0.3200
2021-05-13	$0.3200
2021-02-11	$0.3200
2020-11-12	$0.3200
2020-08-13	$0.3000
2020-05-13	$0.3000
2020-02-13	$0.3000
2019-11-14	$0.3000
2019-08-15	$0.2500
2019-05-16	$0.2500
2019-02-14	$0.2500
2018-11-15	$0.2500
2018-08-16	$0.2100
2018-05-17	$0.2100
2018-02-15	$0.2100
2017-11-16	$0.1950
2017-08-16	$0.1650
2017-05-17	$0.1650
2017-02-15	$0.1650
2016-11-16	$0.1650
2016-08-17	$0.1400
2016-05-11	$0.1400
2016-02-17	$0.1400
2015-11-10	$0.1400
2015-08-12	$0.1200
2015-05-13	$0.1200
2015-02-11	$0.1200
2014-11-12	$0.1200
2014-08-13	$0.1000
2014-05-14	$0.1000
2014-02-12	$0.1000
2013-11-13	$0.1000
2013-08-14	$0.0825
2013-05-15	$0.0825
2013-02-13	$0.0825
2012-11-14	$0.0825
2012-08-15	$0.0550
2012-05-16	$0.0550
2012-02-15	$0.0550
2011-11-16	$0.0550
2011-08-17	$0.0375
2011-05-18	$0.0375
2011-02-09	$0.0375
2010-11-17	$0.0375
2010-08-11	$0.0312
2010-05-12	$0.0312
2010-02-10	$0.0312
2009-11-12	$0.0312
2009-08-12	$0.0262
2009-05-13	$0.0262
2009-02-11	$0.0262
2008-11-12	$0.0262
2008-08-13	$0.0262

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.29. Further, an Excess Kurtosis of 9.39 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -5.30%	30	0.67%	0.67%
-5.30% to -3.95%	56	1.24%	1.91%
-3.95% to -2.60%	139	3.08%	4.99%
-2.60% to -1.26%	464	10.29%	15.28%
-1.26% to 0.09%	1521	33.73%	49.01%
0.09% to 1.43%	1639	36.35%	85.36%
1.43% to 2.78%	460	10.20%	95.56%
2.78% to 4.13%	108	2.40%	97.96%
4.13% to 5.47%	49	1.09%	99.05%
Greater than 5.47%	43	0.95%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.71%	1.88%	80.44%	68.27%
±2σ	-3.50%	3.68%	94.74%	95.45%
±3σ	-5.30%	5.47%	98.38%	99.73%

Descriptive Statistics

Mean	0.088%
Standard Error	0.027%
Median	0.122%
Mode	0.000%
Standard Deviation	1.795%
Sample Variance	3.221%
Kurtosis	9.39
Skewness	0.29
Range	28.640%
Minimum	-13.643%
Maximum	14.997%
Count	4509

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.201%	2423	53.74%	0.645%
Negative	-1.213%	2072	45.95%	-0.557%
Zero	0.000%	14	0.31%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.23%
20	1 Month	2.23%
60	1 Quarter	1.91%
250	1 Year	2.00%
750	3 Years	1.66%
1,250	5 Years	1.94%
2,500	10 Years	1.91%
5,000	20 Years	2.21%
12,500	50 Years	2.21%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.94. Further, an Excess Kurtosis of 26.57 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -2.82%	0	0.00%	0.00%
-2.82% to -1.60%	0	0.00%	0.00%
-1.60% to -0.37%	0	0.00%	0.00%
-0.37% to 0.85%	366	8.12%	8.12%
0.85% to 2.08%	2654	58.85%	66.96%
2.08% to 3.31%	938	20.80%	87.76%
3.31% to 4.53%	272	6.03%	93.79%
4.53% to 5.76%	132	2.93%	96.72%
5.76% to 6.98%	58	1.29%	98.00%
Greater than 6.98%	90	2.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.45%	3.71%	90.60%	68.27%
±2σ	-1.19%	5.35%	96.10%	95.45%
±3σ	-2.82%	6.98%	98.00%	99.73%

Descriptive Statistics

Mean	2.080%
Standard Error	0.024%
Median	1.627%
Mode	0.886%
Standard Deviation	1.634%
Sample Variance	2.672%
Kurtosis	26.57
Skewness	3.94
Range	25.117%
Minimum	0.338%
Maximum	25.455%
Count	4510

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.080%	4510	100.00%	2.080%
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 0.29. Further, an Excess Kurtosis of 9.52 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.62%	39	0.86%	0.86%
-4.62% to -3.47%	37	0.82%	1.69%
-3.47% to -2.32%	109	2.42%	4.10%
-2.32% to -1.17%	502	11.13%	15.23%
-1.17% to -0.02%	1639	36.34%	51.57%
-0.02% to 1.12%	1487	32.97%	84.55%
1.12% to 2.27%	463	10.27%	94.81%
2.27% to 3.42%	143	3.17%	97.98%
3.42% to 4.57%	53	1.18%	99.16%
Greater than 4.57%	38	0.84%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.55%	1.51%	80.18%	68.27%
±2σ	-3.08%	3.04%	95.17%	95.45%
±3σ	-4.62%	4.57%	98.29%	99.73%

Descriptive Statistics

Mean	-0.023%
Standard Error	0.023%
Median	-0.068%
Mode	0.000%
Standard Deviation	1.531%
Sample Variance	2.344%
Kurtosis	9.52
Skewness	0.29
Range	27.170%
Minimum	-12.302%
Maximum	14.868%
Count	4510

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.057%	2134	47.32%	0.500%
Negative	-1.001%	2359	52.31%	-0.524%
Zero	0.000%	17	0.38%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.31. Further, an Excess Kurtosis of 4.67 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.59%	9	0.96%	0.96%
-10.59% to -7.84%	13	1.39%	2.35%
-7.84% to -5.09%	28	2.99%	5.35%
-5.09% to -2.34%	111	11.87%	17.22%
-2.34% to 0.41%	283	30.27%	47.49%
0.41% to 3.16%	345	36.90%	84.39%
3.16% to 5.91%	104	11.12%	95.51%
5.91% to 8.66%	27	2.89%	98.40%
8.66% to 11.41%	4	0.43%	98.82%
Greater than 11.41%	11	1.18%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.26%	4.08%	78.29%	68.27%
±2σ	-6.92%	7.74%	94.44%	95.45%
±3σ	-10.59%	11.41%	97.86%	99.73%

Descriptive Statistics

Mean	0.409%
Standard Error	0.120%
Median	0.592%
Mode	0.011%
Standard Deviation	3.666%
Sample Variance	13.436%
Kurtosis	4.67
Skewness	0.31
Range	37.924%
Minimum	-15.948%
Maximum	21.976%
Count	935

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.516%	555	59.36%	1.493%
Negative	-2.683%	378	40.43%	-1.085%
Zero	0.000%	2	0.21%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	4.20%
12	1 Quarter	4.21%
52	1 Year	4.55%
156	3 Years	3.80%
260	5 Years	4.55%
520	10 Years	4.41%
1,040	20 Years	5.09%
2,600	50 Years	5.09%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.62. Further, an Excess Kurtosis of 8.96 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -6.30%	0	0.00%	0.00%
-6.30% to -3.41%	0	0.00%	0.00%
-3.41% to -0.52%	0	0.00%	0.00%
-0.52% to 2.37%	126	13.46%	13.46%
2.37% to 5.26%	493	52.67%	66.13%
5.26% to 8.15%	186	19.87%	86.00%
8.15% to 11.04%	67	7.16%	93.16%
11.04% to 13.93%	30	3.21%	96.37%
13.93% to 16.82%	7	0.75%	97.12%
Greater than 16.82%	27	2.88%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.41%	9.12%	88.78%	68.27%
±2σ	-2.44%	12.97%	95.62%	95.45%
±3σ	-6.30%	16.82%	97.12%	99.73%

Descriptive Statistics

Mean	5.263%
Standard Error	0.126%
Median	4.142%
Mode	2.177%
Standard Deviation	3.853%
Sample Variance	14.848%
Kurtosis	8.96
Skewness	2.62
Range	28.136%
Minimum	1.152%
Maximum	29.288%
Count	936

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.263%	936	100.00%	5.263%
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 0.69. Further, an Excess Kurtosis of 4.69 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.97%	9	0.96%	0.96%
-10.97% to -8.28%	4	0.43%	1.39%
-8.28% to -5.58%	26	2.78%	4.17%
-5.58% to -2.88%	105	11.22%	15.38%
-2.88% to -0.19%	379	40.49%	55.88%
-0.19% to 2.51%	263	28.10%	83.97%
2.51% to 5.21%	94	10.04%	94.02%
5.21% to 7.90%	27	2.88%	96.90%
7.90% to 10.60%	17	1.82%	98.72%
Greater than 10.60%	12	1.28%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.78%	3.41%	79.38%	68.27%
±2σ	-7.38%	7.00%	94.66%	95.45%
±3σ	-10.97%	10.60%	97.76%	99.73%

Descriptive Statistics

Mean	-0.186%
Standard Error	0.118%
Median	-0.544%
Mode	-0.825%
Standard Deviation	3.595%
Sample Variance	12.924%
Kurtosis	4.69
Skewness	0.69
Range	34.770%
Minimum	-15.562%
Maximum	19.208%
Count	936

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.793%	389	41.56%	1.161%
Negative	-2.305%	547	58.44%	-1.347%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.34. Further, an Excess Kurtosis of 2.95 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -17.51%	2	0.93%	0.93%
-17.51% to -12.71%	0	0.00%	0.93%
-12.71% to -7.92%	11	5.12%	6.05%
-7.92% to -3.12%	33	15.35%	21.40%
-3.12% to 1.68%	58	26.98%	48.37%
1.68% to 6.47%	71	33.02%	81.40%
6.47% to 11.27%	29	13.49%	94.88%
11.27% to 16.07%	8	3.72%	98.60%
16.07% to 20.86%	2	0.93%	99.53%
Greater than 20.86%	1	0.47%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.72%	8.07%	72.09%	68.27%
±2σ	-11.12%	14.47%	95.35%	95.45%
±3σ	-17.51%	20.86%	98.60%	99.73%

Descriptive Statistics

Mean	1.676%
Standard Error	0.436%
Median	2.026%
Mode	2.915%
Standard Deviation	6.396%
Sample Variance	40.913%
Kurtosis	2.95
Skewness	0.34
Range	53.395%
Minimum	-19.575%
Maximum	33.820%
Count	215

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.519%	132	61.40%	3.388%
Negative	-4.436%	83	38.60%	-1.713%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	9.32%
12	1 Year	8.68%
36	3 Years	7.86%
60	5 Years	9.48%
120	10 Years	9.38%
240	20 Years	10.56%
600	50 Years	10.56%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.25. Further, an Excess Kurtosis of 6.25 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -10.25%	0	0.00%	0.00%
-10.25% to -4.84%	0	0.00%	0.00%
-4.84% to 0.57%	0	0.00%	0.00%
0.57% to 5.99%	39	18.06%	18.06%
5.99% to 11.40%	100	46.30%	64.35%
11.40% to 16.82%	43	19.91%	84.26%
16.82% to 22.23%	19	8.80%	93.06%
22.23% to 27.65%	8	3.70%	96.76%
27.65% to 33.06%	0	0.00%	96.76%
Greater than 33.06%	7	3.24%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.18%	18.62%	86.57%	68.27%
±2σ	-3.03%	25.84%	95.83%	95.45%
±3σ	-10.25%	33.06%	96.76%	99.73%

Descriptive Statistics

Mean	11.404%
Standard Error	0.491%
Median	8.956%
Mode	7.770%
Standard Deviation	7.219%
Sample Variance	52.113%
Kurtosis	6.25
Skewness	2.25
Range	42.025%
Minimum	3.193%
Maximum	45.218%
Count	216

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	11.404%	216	100.00%	11.404%
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 Right Skewed (Positive Asymmetry) with a Skewness factor of 0.55. Further, an Excess Kurtosis of 2.53 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -20.01%	1	0.46%	0.46%
-20.01% to -15.27%	1	0.46%	0.93%
-15.27% to -10.53%	7	3.24%	4.17%
-10.53% to -5.80%	33	15.28%	19.44%
-5.80% to -1.06%	77	35.65%	55.09%
-1.06% to 3.68%	55	25.46%	80.56%
3.68% to 8.42%	28	12.96%	93.52%
8.42% to 13.15%	10	4.63%	98.15%
13.15% to 17.89%	2	0.93%	99.07%
Greater than 17.89%	2	0.93%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.38%	5.26%	73.61%	68.27%
±2σ	-13.69%	11.58%	96.30%	95.45%
±3σ	-20.01%	17.89%	98.61%	99.73%

Descriptive Statistics

Mean	-1.058%
Standard Error	0.430%
Median	-1.880%
Mode	-4.995%
Standard Deviation	6.317%
Sample Variance	39.908%
Kurtosis	2.53
Skewness	0.55
Range	49.585%
Minimum	-24.434%
Maximum	25.151%
Count	216

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.053%	83	38.43%	1.942%
Negative	-4.872%	133	61.57%	-3.000%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.24. Further, an Excess Kurtosis of 1.13 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -24.16%	0	0.00%	0.00%
-24.16% to -16.99%	2	2.78%	2.78%
-16.99% to -9.83%	5	6.94%	9.72%
-9.83% to -2.67%	5	6.94%	16.67%
-2.67% to 4.50%	22	30.56%	47.22%
4.50% to 11.66%	26	36.11%	83.33%
11.66% to 18.82%	8	11.11%	94.44%
18.82% to 25.99%	3	4.17%	98.61%
25.99% to 33.15%	1	1.39%	100.00%
Greater than 33.15%	0	0.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.05%	14.05%	72.22%	68.27%
±2σ	-14.61%	23.60%	95.83%	95.45%
±3σ	-24.16%	33.15%	100.00%	99.73%

Descriptive Statistics

Mean	4.496%
Standard Error	1.126%
Median	5.457%
Mode	-24.131%
Standard Deviation	9.551%
Sample Variance	91.227%
Kurtosis	1.13
Skewness	-0.24
Range	56.019%
Minimum	-24.131%
Maximum	31.888%
Count	72

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.806%	52	72.22%	6.360%
Negative	-6.710%	20	27.78%	-1.864%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	9.73%
12	3 Years	13.09%
20	5 Years	14.64%
40	10 Years	15.71%
80	20 Years	17.96%
200	50 Years	17.96%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.65. Further, an Excess Kurtosis of 9.04 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -14.54%	0	0.00%	0.00%
-14.54% to -5.78%	0	0.00%	0.00%
-5.78% to 2.97%	0	0.00%	0.00%
2.97% to 11.72%	10	13.70%	13.70%
11.72% to 20.47%	38	52.05%	65.75%
20.47% to 29.23%	17	23.29%	89.04%
29.23% to 37.98%	3	4.11%	93.15%
37.98% to 46.73%	2	2.74%	95.89%
46.73% to 55.48%	1	1.37%	97.26%
Greater than 55.48%	2	2.74%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	8.80%	32.14%	84.93%	68.27%
±2σ	-2.87%	43.81%	94.52%	95.45%
±3σ	-14.54%	55.48%	97.26%	99.73%

Descriptive Statistics

Mean	20.474%
Standard Error	1.366%
Median	18.665%
Mode	7.796%
Standard Deviation	11.670%
Sample Variance	136.183%
Kurtosis	9.04
Skewness	2.65
Range	69.387%
Minimum	7.796%
Maximum	77.183%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	20.474%	73	100.00%	20.474%
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 0.82. Further, an Excess Kurtosis of 2.54 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -33.13%	0	0.00%	0.00%
-33.13% to -25.73%	1	1.37%	1.37%
-25.73% to -18.33%	1	1.37%	2.74%
-18.33% to -10.93%	9	12.33%	15.07%
-10.93% to -3.53%	29	39.73%	54.79%
-3.53% to 3.88%	22	30.14%	84.93%
3.88% to 11.28%	4	5.48%	90.41%
11.28% to 18.68%	5	6.85%	97.26%
18.68% to 26.08%	1	1.37%	98.63%
Greater than 26.08%	1	1.37%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.39%	6.34%	76.71%	68.27%
±2σ	-23.26%	16.21%	93.15%	95.45%
±3σ	-33.13%	26.08%	98.63%	99.73%

Descriptive Statistics

Mean	-3.526%
Standard Error	1.155%
Median	-5.008%
Mode	-28.700%
Standard Deviation	9.868%
Sample Variance	97.368%
Kurtosis	2.54
Skewness	0.82
Range	61.130%
Minimum	-28.700%
Maximum	32.430%
Count	73

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.652%	21	28.77%	2.201%
Negative	-8.040%	52	71.23%	-5.727%
Zero	0.000%	0	0.00%	0.000%

V Deep Analytical Report