KSS - 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	2.84%	2.32%	2.37%	5.12%	4.64%	4.59%	17.93	19.67	17.12	20.60
Weekly	6.11%	6.09%	6.12%	12.06%	10.21%	10.10%	16.96	20.80	15.31	23.03
Monthly	11.45%	16.42%	13.58%	27.07%	21.25%	21.03%	15.19	23.23	12.28	28.72
Quarterly	20.42%	37.47%	22.61%	48.96%	36.80%	36.43%	13.00	27.13	9.00	39.20
Annual	—	—	—	—	73.60%	72.85%	9.00	39.20	4.31	81.84
Option Time Horizon	—	—	—	—	28.31%	28.02%	14.15	24.93	10.66	33.08

Calculation Notes: Computed at 2026-02-22T14:19 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $18.78 | Strike (K): $19.00 (first OTM call ≥ spot) | Observed Mid-Price: $2.0150 (Bid $1.9200 / Ask $2.1100) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 2.60% | Binomial IV (Annual): 73.60% (CRR binomial tree, American, n=20 steps) | BS IV: 73.29% (European Black-Scholes) | Yahoo IV (Annual): 72.85% → 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
2025-12-10	$0.1250
2025-09-10	$0.1250
2025-06-11	$0.1250
2025-03-21	$0.1250
2024-12-11	$0.5000
2024-09-11	$0.5000
2024-06-12	$0.5000
2024-03-19	$0.5000
2023-12-05	$0.5000
2023-09-05	$0.5000
2023-06-06	$0.5000
2023-03-14	$0.5000
2022-12-06	$0.5000
2022-09-06	$0.5000
2022-06-07	$0.5000
2022-03-15	$0.5000
2021-12-07	$0.2500
2021-09-07	$0.2500
2021-06-08	$0.2500
2021-03-16	$0.2500
2020-03-17	$0.7040
2019-12-10	$0.6700
2019-09-10	$0.6700
2019-06-11	$0.6700
2019-03-19	$0.6700
2018-12-11	$0.6100
2018-09-11	$0.6100
2018-06-12	$0.6100
2018-03-13	$0.6100
2017-12-05	$0.5500
2017-09-01	$0.5500
2017-06-05	$0.5500
2017-03-06	$0.5500
2016-12-05	$0.5000
2016-09-02	$0.5000
2016-06-06	$0.5000
2016-03-07	$0.5000
2015-12-07	$0.4500
2015-09-04	$0.4500
2015-06-08	$0.4500
2015-03-09	$0.4500
2014-12-08	$0.3900
2014-09-08	$0.3900
2014-06-09	$0.3900
2014-03-10	$0.3900
2013-12-09	$0.3500
2013-09-09	$0.3500
2013-06-10	$0.3500
2013-03-11	$0.3500
2012-12-03	$0.3200
2012-08-31	$0.3200
2012-06-04	$0.3200
2012-03-05	$0.3200
2011-12-05	$0.2500
2011-09-02	$0.2500
2011-06-06	$0.2500
2011-03-07	$0.2500

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.99. Further, an Excess Kurtosis of 21.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.44%	55	0.65%	0.65%
-8.44% to -6.31%	65	0.77%	1.41%
-6.31% to -4.18%	233	2.74%	4.15%
-4.18% to -2.05%	947	11.15%	15.30%
-2.05% to 0.07%	3086	36.32%	51.62%
0.07% to 2.20%	2815	33.13%	84.76%
2.20% to 4.33%	893	10.51%	95.27%
4.33% to 6.46%	251	2.95%	98.22%
6.46% to 8.59%	84	0.99%	99.21%
Greater than 8.59%	67	0.79%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.76%	2.91%	79.92%	68.27%
±2σ	-5.60%	5.75%	95.54%	95.45%
±3σ	-8.44%	8.59%	98.56%	99.73%

Descriptive Statistics

Mean	0.075%
Standard Error	0.031%
Median	0.000%
Mode	0.000%
Standard Deviation	2.839%
Sample Variance	8.060%
Kurtosis	21.11
Skewness	0.99
Range	66.596%
Minimum	-24.066%
Maximum	42.530%
Count	8496

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.961%	4196	49.39%	0.968%
Negative	-1.838%	4128	48.59%	-0.893%
Zero	0.000%	172	2.02%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	6.68%
20	1 Month	5.55%
60	1 Quarter	5.77%
250	1 Year	6.79%
750	3 Years	5.34%
1,250	5 Years	5.12%
2,500	10 Years	4.62%
5,000	20 Years	3.74%
12,500	50 Years	3.42%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 5.68. Further, an Excess Kurtosis of 108.54 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -3.71%	0	0.00%	0.00%
-3.71% to -1.96%	0	0.00%	0.00%
-1.96% to -0.22%	0	0.00%	0.00%
-0.22% to 1.52%	1257	14.79%	14.79%
1.52% to 3.26%	4067	47.86%	62.66%
3.26% to 5.00%	1954	23.00%	85.65%
5.00% to 6.74%	705	8.30%	93.95%
6.74% to 8.48%	266	3.13%	97.08%
8.48% to 10.22%	131	1.54%	98.62%
Greater than 10.22%	117	1.38%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.94%	5.58%	86.85%	68.27%
±2σ	-1.38%	7.90%	96.50%	95.45%
±3σ	-3.71%	10.22%	98.62%	99.73%

Descriptive Statistics

Mean	3.258%
Standard Error	0.025%
Median	2.715%
Mode	2.564%
Standard Deviation	2.321%
Sample Variance	5.386%
Kurtosis	108.54
Skewness	5.68
Range	72.674%
Minimum	0.244%
Maximum	72.918%
Count	8497

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.258%	8497	100.00%	3.258%
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 0.80. Further, an Excess Kurtosis of 14.43 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%	53	0.62%	0.62%
-7.08% to -5.30%	74	0.87%	1.49%
-5.30% to -3.52%	303	3.57%	5.06%
-3.52% to -1.74%	988	11.63%	16.69%
-1.74% to 0.04%	2936	34.55%	51.24%
0.04% to 1.82%	2737	32.21%	83.45%
1.82% to 3.60%	969	11.40%	94.86%
3.60% to 5.38%	285	3.35%	98.21%
5.38% to 7.16%	90	1.06%	99.27%
Greater than 7.16%	62	0.73%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.33%	2.41%	77.64%	68.27%
±2σ	-4.71%	4.78%	95.22%	95.45%
±3σ	-7.08%	7.15%	98.65%	99.73%

Descriptive Statistics

Mean	0.039%
Standard Error	0.026%
Median	0.000%
Mode	0.000%
Standard Deviation	2.372%
Sample Variance	5.627%
Kurtosis	14.43
Skewness	0.80
Range	58.732%
Minimum	-21.005%
Maximum	37.727%
Count	8497

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.707%	4178	49.17%	0.839%
Negative	-1.646%	4132	48.63%	-0.800%
Zero	0.000%	187	2.20%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.58. Further, an Excess Kurtosis of 7.82 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -17.97%	8	0.45%	0.45%
-17.97% to -13.39%	20	1.14%	1.59%
-13.39% to -8.81%	65	3.69%	5.28%
-8.81% to -4.23%	207	11.75%	17.04%
-4.23% to 0.35%	594	33.73%	50.77%
0.35% to 4.93%	589	33.45%	84.21%
4.93% to 9.51%	188	10.68%	94.89%
9.51% to 14.09%	55	3.12%	98.01%
14.09% to 18.67%	19	1.08%	99.09%
Greater than 18.67%	16	0.91%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.75%	6.46%	78.19%	68.27%
±2σ	-11.86%	12.56%	95.34%	95.45%
±3σ	-17.97%	18.67%	98.64%	99.73%

Descriptive Statistics

Mean	0.352%
Standard Error	0.146%
Median	0.296%
Mode	0.000%
Standard Deviation	6.106%
Sample Variance	37.288%
Kurtosis	7.82
Skewness	0.58
Range	92.755%
Minimum	-39.354%
Maximum	53.401%
Count	1761

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.409%	916	52.02%	2.293%
Negative	-4.080%	838	47.59%	-1.942%
Zero	0.000%	7	0.40%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	11.44%
12	1 Quarter	10.26%
52	1 Year	16.28%
156	3 Years	12.72%
260	5 Years	12.06%
520	10 Years	10.94%
1,040	20 Years	8.69%
2,600	50 Years	8.14%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.64. Further, an Excess Kurtosis of 25.45 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -9.79%	0	0.00%	0.00%
-9.79% to -5.22%	0	0.00%	0.00%
-5.22% to -0.65%	0	0.00%	0.00%
-0.65% to 3.92%	236	13.39%	13.39%
3.92% to 8.49%	888	50.40%	63.79%
8.49% to 13.06%	378	21.45%	85.24%
13.06% to 17.63%	152	8.63%	93.87%
17.63% to 22.20%	53	3.01%	96.88%
22.20% to 26.77%	24	1.36%	98.24%
Greater than 26.77%	31	1.76%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	2.39%	14.58%	87.57%	68.27%
±2σ	-3.70%	20.68%	96.14%	95.45%
±3σ	-9.79%	26.77%	98.24%	99.73%

Descriptive Statistics

Mean	8.487%
Standard Error	0.145%
Median	6.916%
Mode	6.667%
Standard Deviation	6.094%
Sample Variance	37.133%
Kurtosis	25.45
Skewness	3.64
Range	79.669%
Minimum	1.449%
Maximum	81.118%
Count	1762

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.487%	1762	100.00%	8.487%
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 1.85. Further, an Excess Kurtosis of 17.79 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -18.23%	6	0.34%	0.34%
-18.23% to -13.64%	14	0.79%	1.14%
-13.64% to -9.05%	54	3.06%	4.20%
-9.05% to -4.46%	207	11.75%	15.95%
-4.46% to 0.13%	652	37.00%	52.95%
0.13% to 4.71%	553	31.38%	84.34%
4.71% to 9.30%	182	10.33%	94.67%
9.30% to 13.89%	60	3.41%	98.07%
13.89% to 18.48%	18	1.02%	99.09%
Greater than 18.48%	16	0.91%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.99%	6.24%	78.77%	68.27%
±2σ	-12.11%	12.36%	95.35%	95.45%
±3σ	-18.23%	18.48%	98.75%	99.73%

Descriptive Statistics

Mean	0.126%
Standard Error	0.146%
Median	-0.279%
Mode	0.000%
Standard Deviation	6.118%
Sample Variance	37.434%
Kurtosis	17.79
Skewness	1.85
Range	99.485%
Minimum	-26.882%
Maximum	72.603%
Count	1762

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.505%	836	47.45%	2.137%
Negative	-3.882%	913	51.82%	-2.011%
Zero	0.000%	13	0.74%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.17. Further, an Excess Kurtosis of 3.52 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -32.96%	1	0.25%	0.25%
-32.96% to -24.38%	3	0.74%	0.99%
-24.38% to -15.79%	16	3.95%	4.94%
-15.79% to -7.20%	52	12.84%	17.78%
-7.20% to 1.39%	139	34.32%	52.10%
1.39% to 9.98%	117	28.89%	80.99%
9.98% to 18.57%	52	12.84%	93.83%
18.57% to 27.16%	18	4.44%	98.27%
27.16% to 35.75%	4	0.99%	99.26%
Greater than 35.75%	3	0.74%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.06%	12.84%	74.07%	68.27%
±2σ	-21.51%	24.30%	95.80%	95.45%
±3σ	-32.96%	35.75%	99.01%	99.73%

Descriptive Statistics

Mean	1.392%
Standard Error	0.569%
Median	0.787%
Mode	0.000%
Standard Deviation	11.452%
Sample Variance	131.147%
Kurtosis	3.52
Skewness	0.17
Range	112.598%
Minimum	-61.353%
Maximum	51.245%
Count	405

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.430%	213	52.59%	4.960%
Negative	-7.645%	189	46.67%	-3.568%
Zero	0.000%	3	0.74%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	21.76%
12	1 Year	44.26%
36	3 Years	29.22%
60	5 Years	27.07%
120	10 Years	24.58%
240	20 Years	18.77%
600	50 Years	17.60%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 6.18. Further, an Excess Kurtosis of 59.01 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -29.52%	0	0.00%	0.00%
-29.52% to -17.21%	0	0.00%	0.00%
-17.21% to -4.89%	0	0.00%	0.00%
-4.89% to 7.42%	21	5.17%	5.17%
7.42% to 19.73%	244	60.10%	65.27%
19.73% to 32.04%	98	24.14%	89.41%
32.04% to 44.36%	27	6.65%	96.06%
44.36% to 56.67%	7	1.72%	97.78%
56.67% to 68.98%	4	0.99%	98.77%
Greater than 68.98%	5	1.23%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	3.31%	36.15%	92.86%	68.27%
±2σ	-13.10%	52.57%	97.29%	95.45%
±3σ	-29.52%	68.98%	98.77%	99.73%

Descriptive Statistics

Mean	19.731%
Standard Error	0.815%
Median	16.050%
Mode	7.261%
Standard Deviation	16.417%
Sample Variance	269.514%
Kurtosis	59.01
Skewness	6.18
Range	206.478%
Minimum	5.584%
Maximum	212.062%
Count	406

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	19.731%	406	100.00%	19.731%
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 4.91. Further, an Excess Kurtosis of 58.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -40.53%	0	0.00%	0.00%
-40.53% to -30.34%	3	0.74%	0.74%
-30.34% to -20.16%	5	1.23%	1.97%
-20.16% to -9.97%	58	14.29%	16.26%
-9.97% to 0.22%	148	36.45%	52.71%
0.22% to 10.40%	141	34.73%	87.44%
10.40% to 20.59%	36	8.87%	96.31%
20.59% to 30.78%	11	2.71%	99.01%
30.78% to 40.96%	0	0.00%	99.01%
Greater than 40.96%	4	0.99%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.36%	13.80%	84.24%	68.27%
±2σ	-26.95%	27.38%	97.78%	95.45%
±3σ	-40.53%	40.96%	99.01%	99.73%

Descriptive Statistics

Mean	0.218%
Standard Error	0.674%
Median	-0.556%
Mode	-3.343%
Standard Deviation	13.582%
Sample Variance	184.469%
Kurtosis	58.11
Skewness	4.91
Range	203.407%
Minimum	-34.730%
Maximum	168.677%
Count	406

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.247%	193	47.54%	4.396%
Negative	-7.962%	213	52.46%	-4.177%
Zero	0.000%	0	0.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.01. Further, an Excess Kurtosis of 5.11 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -57.28%	0	0.00%	0.00%
-57.28% to -41.96%	3	2.22%	2.22%
-41.96% to -26.65%	1	0.74%	2.96%
-26.65% to -11.34%	22	16.30%	19.26%
-11.34% to 3.98%	45	33.33%	52.59%
3.98% to 19.29%	42	31.11%	83.70%
19.29% to 34.60%	15	11.11%	94.81%
34.60% to 49.92%	3	2.22%	97.04%
49.92% to 65.23%	3	2.22%	99.26%
Greater than 65.23%	1	0.74%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-16.44%	24.39%	79.26%	68.27%
±2σ	-36.86%	44.81%	94.81%	95.45%
±3σ	-57.28%	65.23%	99.26%	99.73%

Descriptive Statistics

Mean	3.976%
Standard Error	1.757%
Median	2.959%
Mode	-55.219%
Standard Deviation	20.418%
Sample Variance	416.882%
Kurtosis	5.11
Skewness	1.01
Range	162.171%
Minimum	-55.219%
Maximum	106.952%
Count	135

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	16.088%	77	57.04%	9.176%
Negative	-12.103%	58	42.96%	-5.200%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	91.93%
12	3 Years	56.54%
20	5 Years	48.96%
40	10 Years	45.21%
80	20 Years	33.92%
200	50 Years	31.65%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.80. Further, an Excess Kurtosis of 30.14 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -73.01%	0	0.00%	0.00%
-73.01% to -44.91%	0	0.00%	0.00%
-44.91% to -16.81%	0	0.00%	0.00%
-16.81% to 11.29%	4	2.94%	2.94%
11.29% to 39.38%	90	66.18%	69.12%
39.38% to 67.48%	28	20.59%	89.71%
67.48% to 95.58%	8	5.88%	95.59%
95.58% to 123.68%	2	1.47%	97.06%
123.68% to 151.78%	2	1.47%	98.53%
Greater than 151.78%	2	1.47%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.92%	76.85%	94.12%	68.27%
±2σ	-35.55%	114.31%	95.59%	95.45%
±3σ	-73.01%	151.78%	98.53%	99.73%

Descriptive Statistics

Mean	39.384%
Standard Error	3.213%
Median	29.976%
Mode	9.836%
Standard Deviation	37.465%
Sample Variance	1403.605%
Kurtosis	30.14
Skewness	4.80
Range	316.886%
Minimum	9.836%
Maximum	326.722%
Count	136

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	39.384%	136	100.00%	39.384%
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 2.47. Further, an Excess Kurtosis of 11.60 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -67.37%	0	0.00%	0.00%
-67.37% to -50.41%	1	0.74%	0.74%
-50.41% to -33.46%	3	2.21%	2.94%
-33.46% to -16.50%	19	13.97%	16.91%
-16.50% to 0.46%	55	40.44%	57.35%
0.46% to 17.41%	43	31.62%	88.97%
17.41% to 34.37%	10	7.35%	96.32%
34.37% to 51.33%	2	1.47%	97.79%
51.33% to 68.28%	0	0.00%	97.79%
Greater than 68.28%	3	2.21%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-22.15%	23.07%	83.09%	68.27%
±2σ	-44.76%	45.67%	97.06%	95.45%
±3σ	-67.37%	68.28%	97.79%	99.73%

Descriptive Statistics

Mean	0.456%
Standard Error	1.939%
Median	-2.306%
Mode	-51.248%
Standard Deviation	22.609%
Sample Variance	511.154%
Kurtosis	11.60
Skewness	2.47
Range	183.480%
Minimum	-51.248%
Maximum	132.232%
Count	136

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	17.162%	59	43.38%	7.445%
Negative	-12.507%	76	55.88%	-6.989%
Zero	0.000%	1	0.73%	0.000%

KSS Deep Analytical Report