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	2.38%	1.86%	1.89%	3.66%	3.62%	3.62%	48.66	52.31	46.93	54.23
Weekly	5.09%	5.22%	5.29%	8.73%	7.96%	7.96%	46.59	54.63	43.03	59.16
Monthly	10.14%	11.03%	10.94%	19.89%	16.57%	16.58%	42.75	59.54	36.22	70.27
Quarterly	18.82%	20.23%	20.23%	37.00%	28.70%	28.71%	37.86	67.22	28.42	89.56
Annual	—	—	—	—	57.40%	57.42%	28.42	89.56	16.01	159.00
Option Time Horizon	—	—	—	—	21.66%	21.67%	40.62	62.65	32.71	77.81

Calculation Notes: Computed at 2026-03-23T16:38 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $50.45 | Strike (K): $52.50 (first OTM call ≥ spot) | Observed Mid-Price: $3.5750 (Bid $3.5000 / Ask $3.6500) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 2.13% | Binomial IV (Annual): 57.40% (CRR binomial tree, American, n=20 steps) | BS IV: 58.05% (European Black-Scholes) | Yahoo IV (Annual): 57.42% → 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 1.64. Further, an Excess Kurtosis of 69.49 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.08%	36	0.59%	0.59%
-7.08% to -5.30%	43	0.70%	1.29%
-5.30% to -3.51%	154	2.52%	3.81%
-3.51% to -1.73%	621	10.16%	13.97%
-1.73% to 0.05%	2260	36.96%	50.92%
0.05% to 1.83%	2140	35.00%	85.92%
1.83% to 3.62%	621	10.16%	96.08%
3.62% to 5.40%	154	2.52%	98.59%
5.40% to 7.18%	43	0.70%	99.30%
Greater than 7.18%	43	0.70%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.32%	2.43%	82.09%	68.27%
±2σ	-4.70%	4.81%	96.17%	95.45%
±3σ	-7.08%	7.18%	98.71%	99.73%

Descriptive Statistics

Mean	0.052%
Standard Error	0.030%
Median	0.027%
Mode	0.000%
Standard Deviation	2.377%
Sample Variance	5.652%
Kurtosis	69.49
Skewness	1.64
Range	92.078%
Minimum	-35.036%
Maximum	57.042%
Count	6115

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.520%	3094	50.60%	0.769%
Negative	-1.467%	2988	48.86%	-0.717%
Zero	0.000%	33	0.54%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	5.87%
20	1 Month	4.93%
60	1 Quarter	5.24%
250	1 Year	5.11%
750	3 Years	4.31%
1,250	5 Years	3.66%
2,500	10 Years	3.25%
5,000	20 Years	2.94%
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 3.77. Further, an Excess Kurtosis of 29.65 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 -1.45%	0	0.00%	0.00%
-1.45% to -0.06%	0	0.00%	0.00%
-0.06% to 1.33%	826	13.51%	13.51%
1.33% to 2.73%	3103	50.74%	64.24%
2.73% to 4.12%	1324	21.65%	85.89%
4.12% to 5.51%	489	8.00%	93.88%
5.51% to 6.90%	176	2.88%	96.76%
6.90% to 8.30%	98	1.60%	98.36%
Greater than 8.30%	100	1.64%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.87%	4.58%	87.39%	68.27%
±2σ	-0.99%	6.44%	96.11%	95.45%
±3σ	-2.85%	8.30%	98.36%	99.73%

Descriptive Statistics

Mean	2.725%
Standard Error	0.024%
Median	2.248%
Mode	1.972%
Standard Deviation	1.857%
Sample Variance	3.448%
Kurtosis	29.65
Skewness	3.77
Range	33.976%
Minimum	0.225%
Maximum	34.201%
Count	6116

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.725%	6116	100.00%	2.725%
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 7.54 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	0.70%	0.70%
-5.63% to -4.22%	67	1.10%	1.80%
-4.22% to -2.81%	183	2.99%	4.79%
-2.81% to -1.39%	762	12.46%	17.25%
-1.39% to 0.02%	2021	33.04%	50.29%
0.02% to 1.43%	2011	32.88%	83.18%
1.43% to 2.85%	730	11.94%	95.11%
2.85% to 4.26%	187	3.06%	98.17%
4.26% to 5.67%	68	1.11%	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%	1.91%	77.31%	68.27%
±2σ	-3.75%	3.79%	95.00%	95.45%
±3σ	-5.64%	5.67%	98.58%	99.73%

Descriptive Statistics

Mean	0.020%
Standard Error	0.024%
Median	0.009%
Mode	0.000%
Standard Deviation	1.885%
Sample Variance	3.555%
Kurtosis	7.54
Skewness	0.34
Range	30.141%
Minimum	-12.790%
Maximum	17.351%
Count	6116

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.336%	3060	50.03%	0.668%
Negative	-1.316%	3014	49.28%	-0.649%
Zero	0.000%	42	0.69%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of -0.18. Further, an Excess Kurtosis of 9.37 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	1.10%	1.10%
-15.03% to -11.21%	9	0.71%	1.81%
-11.21% to -7.39%	32	2.52%	4.34%
-7.39% to -3.57%	141	11.12%	15.46%
-3.57% to 0.25%	436	34.38%	49.84%
0.25% to 4.07%	436	34.38%	84.23%
4.07% to 7.89%	142	11.20%	95.43%
7.89% to 11.71%	37	2.92%	98.34%
11.71% to 15.53%	12	0.95%	99.29%
Greater than 15.53%	9	0.71%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.85%	5.34%	79.57%	68.27%
±2σ	-9.94%	10.44%	94.56%	95.45%
±3σ	-15.03%	15.53%	98.19%	99.73%

Descriptive Statistics

Mean	0.249%
Standard Error	0.143%
Median	0.254%
Mode	0.000%
Standard Deviation	5.094%
Sample Variance	25.945%
Kurtosis	9.37
Skewness	-0.18
Range	83.081%
Minimum	-41.516%
Maximum	41.565%
Count	1268

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.503%	675	53.23%	1.865%
Negative	-3.473%	590	46.53%	-1.616%
Zero	0.000%	3	0.24%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	10.76%
12	1 Quarter	12.36%
52	1 Year	12.45%
156	3 Years	10.34%
260	5 Years	8.73%
520	10 Years	7.69%
1,040	20 Years	6.88%
2,600	50 Years	6.74%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.36. Further, an Excess Kurtosis of 34.63 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.65%	0	0.00%	0.00%
-8.65% to -4.74%	0	0.00%	0.00%
-4.74% to -0.82%	0	0.00%	0.00%
-0.82% to 3.09%	137	10.80%	10.80%
3.09% to 7.00%	689	54.29%	65.09%
7.00% to 10.92%	286	22.54%	87.63%
10.92% to 14.83%	86	6.78%	94.41%
14.83% to 18.75%	35	2.76%	97.16%
18.75% to 22.66%	11	0.87%	98.03%
Greater than 22.66%	25	1.97%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.79%	12.22%	89.83%	68.27%
±2σ	-3.43%	17.44%	96.45%	95.45%
±3σ	-8.65%	22.66%	98.03%	99.73%

Descriptive Statistics

Mean	7.005%
Standard Error	0.146%
Median	5.702%
Mode	4.707%
Standard Deviation	5.218%
Sample Variance	27.227%
Kurtosis	34.63
Skewness	4.36
Range	70.307%
Minimum	1.398%
Maximum	71.705%
Count	1269

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.005%	1269	100.00%	7.005%
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 30.81 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.78%	2	0.16%	0.16%
-15.78% to -11.81%	10	0.79%	0.95%
-11.81% to -7.84%	34	2.68%	3.62%
-7.84% to -3.87%	144	11.35%	14.97%
-3.87% to 0.10%	491	38.69%	53.66%
0.10% to 4.07%	401	31.60%	85.26%
4.07% to 8.04%	133	10.48%	95.74%
8.04% to 12.01%	31	2.44%	98.19%
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	-5.19%	5.39%	80.77%	68.27%
±2σ	-10.49%	10.69%	96.06%	95.45%
±3σ	-15.78%	15.98%	98.58%	99.73%

Descriptive Statistics

Mean	0.100%
Standard Error	0.149%
Median	-0.204%
Mode	0.000%
Standard Deviation	5.293%
Sample Variance	28.017%
Kurtosis	30.81
Skewness	2.71
Range	100.678%
Minimum	-29.402%
Maximum	71.276%
Count	1269

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.701%	603	47.52%	1.759%
Negative	-3.176%	663	52.25%	-1.659%
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 2.56 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -29.41%	2	0.68%	0.68%
-29.41% to -21.80%	5	1.71%	2.40%
-21.80% to -14.20%	11	3.77%	6.16%
-14.20% to -6.59%	24	8.22%	14.38%
-6.59% to 1.02%	104	35.62%	50.00%
1.02% to 8.62%	90	30.82%	80.82%
8.62% to 16.23%	39	13.36%	94.18%
16.23% to 23.83%	13	4.45%	98.63%
23.83% to 31.44%	3	1.03%	99.66%
Greater than 31.44%	1	0.34%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-9.12%	11.16%	77.05%	68.27%
±2σ	-19.27%	21.30%	94.18%	95.45%
±3σ	-29.41%	31.44%	98.97%	99.73%

Descriptive Statistics

Mean	1.017%
Standard Error	0.593%
Median	0.980%
Mode	3.818%
Standard Deviation	10.141%
Sample Variance	102.830%
Kurtosis	2.56
Skewness	-0.05
Range	88.419%
Minimum	-41.934%
Maximum	46.485%
Count	292

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.695%	160	54.80%	4.216%
Negative	-7.078%	132	45.20%	-3.200%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	28.07%
12	1 Year	29.68%
36	3 Years	23.54%
60	5 Years	19.89%
120	10 Years	17.41%
240	20 Years	14.91%
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 3.12. Further, an Excess Kurtosis of 14.12 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -16.79%	0	0.00%	0.00%
-16.79% to -8.52%	0	0.00%	0.00%
-8.52% to -0.25%	0	0.00%	0.00%
-0.25% to 8.02%	37	12.63%	12.63%
8.02% to 16.29%	154	52.56%	65.19%
16.29% to 24.56%	63	21.50%	86.69%
24.56% to 32.83%	20	6.83%	93.52%
32.83% to 41.09%	12	4.10%	97.61%
41.09% to 49.36%	1	0.34%	97.95%
Greater than 49.36%	6	2.05%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	5.26%	27.31%	89.42%	68.27%
±2σ	-5.77%	38.34%	96.25%	95.45%
±3σ	-16.79%	49.36%	97.95%	99.73%

Descriptive Statistics

Mean	16.286%
Standard Error	0.644%
Median	12.892%
Mode	11.030%
Standard Deviation	11.026%
Sample Variance	121.568%
Kurtosis	14.12
Skewness	3.12
Range	88.693%
Minimum	3.863%
Maximum	92.556%
Count	293

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	16.286%	293	100.00%	16.286%
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 7.72 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -32.61%	0	0.00%	0.00%
-32.61% to -24.41%	2	0.68%	0.68%
-24.41% to -16.21%	10	3.41%	4.10%
-16.21% to -8.01%	43	14.68%	18.77%
-8.01% to 0.19%	105	35.84%	54.61%
0.19% to 8.39%	99	33.79%	88.40%
8.39% to 16.60%	15	5.12%	93.52%
16.60% to 24.80%	9	3.07%	96.59%
24.80% to 33.00%	7	2.39%	98.98%
Greater than 33.00%	3	1.02%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.74%	11.13%	78.16%	68.27%
±2σ	-21.68%	22.06%	94.88%	95.45%
±3σ	-32.61%	33.00%	98.98%	99.73%

Descriptive Statistics

Mean	0.194%
Standard Error	0.639%
Median	-0.886%
Mode	-31.337%
Standard Deviation	10.935%
Sample Variance	119.572%
Kurtosis	7.72
Skewness	1.64
Range	103.638%
Minimum	-31.337%
Maximum	72.301%
Count	293

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.304%	135	46.08%	3.826%
Negative	-6.735%	158	53.92%	-3.632%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.07. Further, an Excess Kurtosis of 0.35 proves the distribution possesses Normal Tails (Mesokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.29%	0	0.00%	0.00%
-53.29% to -39.18%	2	2.06%	2.06%
-39.18% to -25.06%	3	3.09%	5.15%
-25.06% to -10.95%	19	19.59%	24.74%
-10.95% to 3.16%	22	22.68%	47.42%
3.16% to 17.28%	29	29.90%	77.32%
17.28% to 31.39%	16	16.49%	93.81%
31.39% to 45.50%	5	5.15%	98.97%
45.50% to 59.62%	0	0.00%	98.97%
Greater than 59.62%	1	1.03%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-15.66%	21.98%	69.07%	68.27%
±2σ	-34.47%	40.80%	95.88%	95.45%
±3σ	-53.29%	59.62%	98.97%	99.73%

Descriptive Statistics

Mean	3.163%
Standard Error	1.911%
Median	5.031%
Mode	2.472%
Standard Deviation	18.818%
Sample Variance	354.113%
Kurtosis	0.35
Skewness	0.07
Range	106.143%
Minimum	-43.265%
Maximum	62.878%
Count	97

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	15.530%	57	58.76%	9.126%
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	57.56%
12	3 Years	46.43%
20	5 Years	37.00%
40	10 Years	32.59%
80	20 Years	27.98%
200	50 Years	27.56%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.37. Further, an Excess Kurtosis of 7.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -27.58%	0	0.00%	0.00%
-27.58% to -12.40%	0	0.00%	0.00%
-12.40% to 2.77%	0	0.00%	0.00%
2.77% to 17.94%	17	17.35%	17.35%
17.94% to 33.11%	45	45.92%	63.27%
33.11% to 48.28%	24	24.49%	87.76%
48.28% to 63.45%	6	6.12%	93.88%
63.45% to 78.62%	1	1.02%	94.90%
78.62% to 93.80%	2	2.04%	96.94%
Greater than 93.80%	3	3.06%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	12.88%	53.34%	89.80%	68.27%
±2σ	-7.35%	73.57%	93.88%	95.45%
±3σ	-27.58%	93.80%	96.94%	99.73%

Descriptive Statistics

Mean	33.110%
Standard Error	2.043%
Median	29.643%
Mode	11.665%
Standard Deviation	20.229%
Sample Variance	409.225%
Kurtosis	7.11
Skewness	2.37
Range	115.313%
Minimum	11.665%
Maximum	126.978%
Count	98

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	33.110%	98	100.00%	33.110%
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 2.18 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -60.12%	0	0.00%	0.00%
-60.12% to -44.95%	0	0.00%	0.00%
-44.95% to -29.77%	1	1.02%	1.02%
-29.77% to -14.60%	21	21.43%	22.45%
-14.60% to 0.58%	37	37.76%	60.20%
0.58% to 15.76%	17	17.35%	77.55%
15.76% to 30.93%	14	14.29%	91.84%
30.93% to 46.11%	6	6.12%	97.96%
46.11% to 61.28%	0	0.00%	97.96%
Greater than 61.28%	2	2.04%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-19.66%	20.81%	73.47%	68.27%
±2σ	-39.89%	41.05%	95.92%	95.45%
±3σ	-60.12%	61.28%	97.96%	99.73%

Descriptive Statistics

Mean	0.580%
Standard Error	2.044%
Median	-3.945%
Mode	-37.988%
Standard Deviation	20.235%
Sample Variance	409.442%
Kurtosis	2.18
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	-12.608%	57	58.16%	-7.333%
Zero	0.000%	0	0.00%	0.000%

AAP Deep Analytical Report