AAP - 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	2.37%	1.86%	1.88%	3.62%	3.66%	3.64%	53.86	57.95	51.93	60.11
Weekly	5.09%	5.22%	5.30%	8.67%	8.05%	8.02%	51.55	60.55	47.56	65.63
Monthly	10.18%	11.04%	10.97%	19.92%	16.75%	16.70%	47.25	66.06	39.96	78.11
Quarterly	18.86%	20.22%	20.28%	36.87%	29.02%	28.92%	41.80	74.68	31.27	99.82
Annual	—	—	—	—	58.03%	57.84%	31.27	99.82	17.50	178.33
Option Time Horizon	—	—	—	—	18.97%	18.91%	46.22	67.54	38.23	81.65

Calculation Notes: Computed at 2026-02-22T14:22 UTC | Reference Contract: Call option expiring 2026-04-02 (39 days) | Spot Price (S): $55.87 | Strike (K): $60.00 (first OTM call ≥ spot) | Observed Mid-Price: $2.6550 (Bid $2.2600 / Ask $3.0500) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 1.79% | Binomial IV (Annual): 58.03% (CRR binomial tree, American, n=20 steps) | BS IV: 58.07% (European Black-Scholes) | Yahoo IV (Annual): 57.84% → 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	$0.2500
2025-10-10	$0.2500
2025-07-11	$0.2500
2025-04-11	$0.2500
2025-01-10	$0.2500
2024-10-11	$0.2500
2024-07-12	$0.2500
2024-04-11	$0.2500
2024-01-11	$0.2500
2023-10-12	$0.2500
2023-07-13	$0.2500
2023-04-13	$1.5000
2022-12-15	$1.5000
2022-09-15	$1.5000
2022-06-16	$1.5000
2022-03-17	$1.5000
2021-12-16	$1.0000
2021-09-16	$1.0000
2021-06-17	$1.0000
2021-03-18	$0.2500
2020-12-17	$0.2500
2020-09-17	$0.2500
2020-06-18	$0.2500
2020-03-19	$0.2500
2019-12-19	$0.0600
2019-09-19	$0.0600
2019-06-20	$0.0600
2019-03-21	$0.0600
2018-12-20	$0.0600
2018-09-20	$0.0600
2018-06-21	$0.0600
2018-03-22	$0.0600
2017-12-21	$0.0600
2017-09-21	$0.0600
2017-06-21	$0.0600
2017-03-22	$0.0600
2016-12-21	$0.0600
2016-09-21	$0.0600
2016-06-15	$0.0600
2016-03-16	$0.0600
2015-12-22	$0.0600
2015-09-16	$0.0600
2015-06-17	$0.0600
2015-03-18	$0.0600
2014-12-23	$0.0600
2014-09-17	$0.0600
2014-06-16	$0.0600
2014-03-19	$0.0600
2013-12-18	$0.0600
2013-09-18	$0.0600
2013-06-19	$0.0600
2013-03-20	$0.0600
2012-12-19	$0.0600
2012-09-19	$0.0600
2012-06-20	$0.0600
2012-03-21	$0.0600
2011-12-21	$0.0600
2011-09-21	$0.0600
2011-06-22	$0.0600
2011-03-23	$0.0600
2010-12-21	$0.0600
2010-09-22	$0.0600
2010-06-23	$0.0600
2010-03-24	$0.0600
2009-12-22	$0.0600
2009-09-23	$0.0600
2009-06-24	$0.0600
2009-03-25	$0.0600
2008-12-23	$0.0600
2008-09-17	$0.0600
2008-06-18	$0.0600
2008-03-18	$0.0600
2007-12-19	$0.0600
2007-09-19	$0.0600
2007-06-20	$0.0600
2007-03-21	$0.0600
2006-12-20	$0.0600
2006-09-20	$0.0600
2006-06-21	$0.0600
2006-03-22	$0.0600

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.65. Further, an Excess Kurtosis of 70.07 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.07%	36	0.59%	0.59%
-7.07% to -5.29%	42	0.69%	1.28%
-5.29% to -3.51%	154	2.53%	3.81%
-3.51% to -1.73%	618	10.14%	13.95%
-1.73% to 0.05%	2257	37.04%	50.98%
0.05% to 1.83%	2130	34.95%	85.94%
1.83% to 3.62%	619	10.16%	96.09%
3.62% to 5.40%	153	2.51%	98.61%
5.40% to 7.18%	43	0.71%	99.31%
Greater than 7.18%	42	0.69%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.32%	2.43%	82.15%	68.27%
±2σ	-4.69%	4.80%	96.21%	95.45%
±3σ	-7.07%	7.18%	98.72%	99.73%

Descriptive Statistics

Mean	0.054%
Standard Error	0.030%
Median	0.027%
Mode	0.000%
Standard Deviation	2.374%
Sample Variance	5.638%
Kurtosis	70.07
Skewness	1.65
Range	92.078%
Minimum	-35.036%
Maximum	57.042%
Count	6094

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.517%	3086	50.64%	0.768%
Negative	-1.463%	2975	48.82%	-0.714%
Zero	0.000%	33	0.54%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	7.02%
20	1 Month	5.94%
60	1 Quarter	5.05%
250	1 Year	5.17%
750	3 Years	4.26%
1,250	5 Years	3.62%
2,500	10 Years	3.23%
5,000	20 Years	2.93%
12,500	50 Years	2.85%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.79. Further, an Excess Kurtosis of 29.84 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -2.85%	0	0.00%	0.00%
-2.85% to -1.46%	0	0.00%	0.00%
-1.46% to -0.07%	0	0.00%	0.00%
-0.07% to 1.33%	815	13.37%	13.37%
1.33% to 2.72%	3104	50.93%	64.30%
2.72% to 4.11%	1324	21.72%	86.02%
4.11% to 5.50%	475	7.79%	93.81%
5.50% to 6.89%	178	2.92%	96.74%
6.89% to 8.29%	99	1.62%	98.36%
Greater than 8.29%	100	1.64%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.86%	4.57%	87.56%	68.27%
±2σ	-0.99%	6.43%	96.10%	95.45%
±3σ	-2.85%	8.29%	98.36%	99.73%

Descriptive Statistics

Mean	2.718%
Standard Error	0.024%
Median	2.247%
Mode	1.972%
Standard Deviation	1.856%
Sample Variance	3.446%
Kurtosis	29.84
Skewness	3.79
Range	33.976%
Minimum	0.225%
Maximum	34.201%
Count	6095

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.718%	6095	100.00%	2.718%
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 0.34. Further, an Excess Kurtosis of 7.59 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -5.63%	43	0.71%	0.71%
-5.63% to -4.22%	67	1.10%	1.80%
-4.22% to -2.81%	181	2.97%	4.77%
-2.81% to -1.39%	758	12.44%	17.21%
-1.39% to 0.02%	2016	33.08%	50.29%
0.02% to 1.43%	2007	32.93%	83.22%
1.43% to 2.85%	727	11.93%	95.14%
2.85% to 4.26%	185	3.04%	98.18%
4.26% to 5.67%	67	1.10%	99.28%
Greater than 5.67%	44	0.72%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-1.86%	1.90%	77.36%	68.27%
±2σ	-3.75%	3.79%	95.00%	95.45%
±3σ	-5.63%	5.67%	98.57%	99.73%

Descriptive Statistics

Mean	0.020%
Standard Error	0.024%
Median	0.010%
Mode	0.000%
Standard Deviation	1.884%
Sample Variance	3.548%
Kurtosis	7.59
Skewness	0.34
Range	30.141%
Minimum	-12.790%
Maximum	17.351%
Count	6095

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.334%	3050	50.04%	0.668%
Negative	-1.314%	3003	49.27%	-0.647%
Zero	0.000%	42	0.69%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.19. 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 -15.03%	14	1.11%	1.11%
-15.03% to -11.21%	9	0.71%	1.82%
-11.21% to -7.39%	32	2.53%	4.35%
-7.39% to -3.56%	138	10.92%	15.27%
-3.56% to 0.26%	439	34.73%	50.00%
0.26% to 4.08%	433	34.26%	84.26%
4.08% to 7.90%	141	11.16%	95.41%
7.90% to 11.72%	37	2.93%	98.34%
11.72% to 15.54%	12	0.95%	99.29%
Greater than 15.54%	9	0.71%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.84%	5.35%	79.51%	68.27%
±2σ	-9.93%	10.45%	94.54%	95.45%
±3σ	-15.03%	15.54%	98.18%	99.73%

Descriptive Statistics

Mean	0.257%
Standard Error	0.143%
Median	0.257%
Mode	0.000%
Standard Deviation	5.095%
Sample Variance	25.957%
Kurtosis	9.39
Skewness	-0.19
Range	83.081%
Minimum	-41.516%
Maximum	41.565%
Count	1264

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.502%	674	53.32%	1.867%
Negative	-3.467%	587	46.44%	-1.610%
Zero	0.000%	3	0.24%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	13.86%
12	1 Quarter	11.97%
52	1 Year	12.66%
156	3 Years	10.28%
260	5 Years	8.67%
520	10 Years	7.65%
1,040	20 Years	6.85%
2,600	50 Years	6.73%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.38. Further, an Excess Kurtosis of 34.82 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.66%	0	0.00%	0.00%
-8.66% to -4.75%	0	0.00%	0.00%
-4.75% to -0.83%	0	0.00%	0.00%
-0.83% to 3.08%	132	10.43%	10.43%
3.08% to 6.99%	693	54.78%	65.22%
6.99% to 10.90%	283	22.37%	87.59%
10.90% to 14.82%	87	6.88%	94.47%
14.82% to 18.73%	34	2.69%	97.15%
18.73% to 22.64%	11	0.87%	98.02%
Greater than 22.64%	25	1.98%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.77%	12.21%	89.80%	68.27%
±2σ	-3.44%	17.42%	96.44%	95.45%
±3σ	-8.66%	22.64%	98.02%	99.73%

Descriptive Statistics

Mean	6.991%
Standard Error	0.147%
Median	5.699%
Mode	4.707%
Standard Deviation	5.217%
Sample Variance	27.213%
Kurtosis	34.82
Skewness	4.38
Range	70.307%
Minimum	1.398%
Maximum	71.705%
Count	1265

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.991%	1265	100.00%	6.991%
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 2.71. Further, an Excess Kurtosis of 30.87 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.79%	2	0.16%	0.16%
-15.79% to -11.82%	10	0.79%	0.95%
-11.82% to -7.85%	34	2.69%	3.64%
-7.85% to -3.88%	143	11.30%	14.94%
-3.88% to 0.10%	491	38.81%	53.75%
0.10% to 4.07%	399	31.54%	85.30%
4.07% to 8.04%	132	10.43%	95.73%
8.04% to 12.01%	31	2.45%	98.18%
12.01% to 15.98%	7	0.55%	98.74%
Greater than 15.98%	16	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.20%	5.39%	80.87%	68.27%
±2σ	-10.50%	10.69%	96.05%	95.45%
±3σ	-15.79%	15.98%	98.58%	99.73%

Descriptive Statistics

Mean	0.095%
Standard Error	0.149%
Median	-0.208%
Mode	0.000%
Standard Deviation	5.296%
Sample Variance	28.043%
Kurtosis	30.87
Skewness	2.71
Range	100.678%
Minimum	-29.402%
Maximum	71.276%
Count	1265

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.701%	600	47.43%	1.755%
Negative	-3.174%	662	52.33%	-1.661%
Zero	0.000%	3	0.24%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.05. Further, an Excess Kurtosis of 2.52 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -29.47%	2	0.69%	0.69%
-29.47% to -21.84%	5	1.72%	2.41%
-21.84% to -14.21%	11	3.78%	6.19%
-14.21% to -6.58%	24	8.25%	14.43%
-6.58% to 1.06%	105	36.08%	50.52%
1.06% to 8.69%	89	30.58%	81.10%
8.69% to 16.32%	38	13.06%	94.16%
16.32% to 23.95%	13	4.47%	98.63%
23.95% to 31.59%	3	1.03%	99.66%
Greater than 31.59%	1	0.34%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-9.12%	11.23%	76.63%	68.27%
±2σ	-19.30%	21.41%	94.16%	95.45%
±3σ	-29.47%	31.58%	98.97%	99.73%

Descriptive Statistics

Mean	1.057%
Standard Error	0.596%
Median	1.023%
Mode	3.818%
Standard Deviation	10.176%
Sample Variance	103.541%
Kurtosis	2.52
Skewness	-0.05
Range	88.419%
Minimum	-41.934%
Maximum	46.485%
Count	291

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.730%	160	54.98%	4.250%
Negative	-7.093%	131	45.02%	-3.193%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	33.09%
12	1 Year	30.33%
36	3 Years	23.81%
60	5 Years	19.92%
120	10 Years	17.38%
240	20 Years	14.88%
600	50 Years	14.68%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.11. Further, an Excess Kurtosis of 14.07 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -16.85%	0	0.00%	0.00%
-16.85% to -8.57%	0	0.00%	0.00%
-8.57% to -0.28%	0	0.00%	0.00%
-0.28% to 8.00%	36	12.33%	12.33%
8.00% to 16.28%	155	53.08%	65.41%
16.28% to 24.57%	62	21.23%	86.64%
24.57% to 32.85%	20	6.85%	93.49%
32.85% to 41.13%	12	4.11%	97.60%
41.13% to 49.42%	1	0.34%	97.95%
Greater than 49.42%	6	2.05%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	5.24%	27.33%	89.38%	68.27%
±2σ	-5.81%	38.37%	96.23%	95.45%
±3σ	-16.85%	49.42%	97.95%	99.73%

Descriptive Statistics

Mean	16.283%
Standard Error	0.646%
Median	12.892%
Mode	11.030%
Standard Deviation	11.045%
Sample Variance	121.983%
Kurtosis	14.07
Skewness	3.11
Range	88.693%
Minimum	3.863%
Maximum	92.556%
Count	292

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	16.283%	292	100.00%	16.283%
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 1.64. Further, an Excess Kurtosis of 7.65 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -32.73%	0	0.00%	0.00%
-32.73% to -24.51%	2	0.68%	0.68%
-24.51% to -16.28%	10	3.42%	4.11%
-16.28% to -8.06%	42	14.38%	18.49%
-8.06% to 0.17%	105	35.96%	54.45%
0.17% to 8.39%	99	33.90%	88.36%
8.39% to 16.62%	15	5.14%	93.49%
16.62% to 24.84%	9	3.08%	96.58%
24.84% to 33.07%	7	2.40%	98.97%
Greater than 33.07%	3	1.03%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.80%	11.13%	78.08%	68.27%
±2σ	-21.77%	22.10%	94.86%	95.45%
±3σ	-32.73%	33.07%	98.97%	99.73%

Descriptive Statistics

Mean	0.167%
Standard Error	0.642%
Median	-0.892%
Mode	-31.337%
Standard Deviation	10.967%
Sample Variance	120.282%
Kurtosis	7.65
Skewness	1.64
Range	103.638%
Minimum	-31.337%
Maximum	72.301%
Count	292

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.338%	134	45.89%	3.826%
Negative	-6.763%	158	54.11%	-3.659%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.06. Further, an Excess Kurtosis of 0.31 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.32%	0	0.00%	0.00%
-53.32% to -39.17%	2	2.06%	2.06%
-39.17% to -25.02%	3	3.09%	5.15%
-25.02% to -10.87%	19	19.59%	24.74%
-10.87% to 3.28%	22	22.68%	47.42%
3.28% to 17.43%	30	30.93%	78.35%
17.43% to 31.58%	15	15.46%	93.81%
31.58% to 45.73%	5	5.15%	98.97%
45.73% to 59.87%	0	0.00%	98.97%
Greater than 59.87%	1	1.03%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-15.59%	22.14%	69.07%	68.27%
±2σ	-34.45%	41.01%	95.88%	95.45%
±3σ	-53.32%	59.87%	98.97%	99.73%

Descriptive Statistics

Mean	3.279%
Standard Error	1.915%
Median	5.031%
Mode	2.472%
Standard Deviation	18.865%
Sample Variance	355.877%
Kurtosis	0.31
Skewness	0.06
Range	106.143%
Minimum	-43.265%
Maximum	62.878%
Count	97

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	15.728%	57	58.76%	9.242%
Negative	-14.461%	40	41.24%	-5.963%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	56.89%
12	3 Years	46.20%
20	5 Years	36.87%
40	10 Years	32.52%
80	20 Years	27.95%
200	50 Years	27.53%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.38. Further, an Excess Kurtosis of 7.15 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -27.59%	0	0.00%	0.00%
-27.59% to -12.42%	0	0.00%	0.00%
-12.42% to 2.74%	0	0.00%	0.00%
2.74% to 17.91%	17	17.35%	17.35%
17.91% to 33.07%	45	45.92%	63.27%
33.07% to 48.23%	24	24.49%	87.76%
48.23% to 63.40%	6	6.12%	93.88%
63.40% to 78.56%	1	1.02%	94.90%
78.56% to 93.73%	2	2.04%	96.94%
Greater than 93.73%	3	3.06%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	12.85%	53.29%	89.80%	68.27%
±2σ	-7.37%	73.51%	93.88%	95.45%
±3σ	-27.59%	93.73%	96.94%	99.73%

Descriptive Statistics

Mean	33.071%
Standard Error	2.042%
Median	29.643%
Mode	11.665%
Standard Deviation	20.219%
Sample Variance	408.823%
Kurtosis	7.15
Skewness	2.38
Range	115.313%
Minimum	11.665%
Maximum	126.978%
Count	98

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	33.071%	98	100.00%	33.071%
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 1.20. Further, an Excess Kurtosis of 2.16 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -60.35%	0	0.00%	0.00%
-60.35% to -45.14%	0	0.00%	0.00%
-45.14% to -29.93%	1	1.02%	1.02%
-29.93% to -14.72%	21	21.43%	22.45%
-14.72% to 0.48%	37	37.76%	60.20%
0.48% to 15.69%	17	17.35%	77.55%
15.69% to 30.90%	14	14.29%	91.84%
30.90% to 46.11%	6	6.12%	97.96%
46.11% to 61.32%	0	0.00%	97.96%
Greater than 61.32%	2	2.04%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-19.79%	20.76%	73.47%	68.27%
±2σ	-40.07%	41.04%	95.92%	95.45%
±3σ	-60.35%	61.32%	97.96%	99.73%

Descriptive Statistics

Mean	0.485%
Standard Error	2.048%
Median	-4.290%
Mode	-37.988%
Standard Deviation	20.278%
Sample Variance	411.195%
Kurtosis	2.16
Skewness	1.20
Range	116.273%
Minimum	-37.988%
Maximum	78.285%
Count	98

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	18.913%	41	41.84%	7.913%
Negative	-12.771%	57	58.16%	-7.428%
Zero	0.000%	0	0.00%	0.000%

AAP Deep Analytical Report