CSCO - 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	2.46%	2.10%	2.09%	1.90%	1.46%	1.52%	78.05	80.36	76.92	81.54
Weekly	5.31%	5.29%	5.22%	4.55%	3.21%	3.36%	76.70	81.78	74.27	84.45
Monthly	10.24%	10.98%	10.30%	10.09%	6.68%	6.98%	74.08	84.67	69.29	90.53
Quarterly	20.18%	22.82%	19.39%	16.65%	11.58%	12.10%	70.54	88.92	62.83	99.83
Annual	—	—	—	—	23.15%	24.20%	62.83	99.83	49.84	125.84
Option Time Horizon	—	—	—	—	8.91%	9.31%	72.45	86.58	66.28	94.64

Calculation Notes: Computed at 2026-02-22T14:17 UTC | Reference Contract: Call option expiring 2026-04-17 (54 days) | Spot Price (S): $79.20 | Strike (K): $80.00 (first OTM call ≥ spot) | Observed Mid-Price: $2.5400 (Bid $2.4800 / Ask $2.6000) | Risk-Free Rate (r): 3.72% (1-Month CMT, US Treasury) | Dividend Yield (q): 2.09% | Binomial IV (Annual): 23.15% (CRR binomial tree, American, n=20 steps) | BS IV: 23.30% (European Black-Scholes) | Yahoo IV (Annual): 24.20% → 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
2026-01-02	$0.4100
2025-10-03	$0.4100
2025-07-03	$0.4100
2025-04-03	$0.4100
2025-01-03	$0.4000
2024-10-02	$0.4000
2024-07-05	$0.4000
2024-04-03	$0.4000
2024-01-03	$0.3900
2023-10-03	$0.3900
2023-07-05	$0.3900
2023-04-04	$0.3900
2023-01-04	$0.3800
2022-10-04	$0.3800
2022-07-05	$0.3800
2022-04-05	$0.3800
2022-01-04	$0.3700
2021-10-04	$0.3700
2021-07-02	$0.3700
2021-04-05	$0.3700
2021-01-04	$0.3600
2020-10-01	$0.3600
2020-07-02	$0.3600
2020-04-02	$0.3600
2020-01-02	$0.3500
2019-10-03	$0.3500
2019-07-03	$0.3500
2019-04-04	$0.3500
2019-01-03	$0.3300
2018-10-04	$0.3300
2018-07-05	$0.3300
2018-04-04	$0.3300
2018-01-04	$0.2900
2017-10-04	$0.2900
2017-07-05	$0.2900
2017-04-04	$0.2900
2017-01-04	$0.2600
2016-10-03	$0.2600
2016-07-05	$0.2600
2016-04-04	$0.2600
2016-01-04	$0.2100
2015-10-01	$0.2100
2015-07-01	$0.2100
2015-03-31	$0.2100
2015-01-02	$0.1900
2014-09-30	$0.1900
2014-07-02	$0.1900
2014-04-01	$0.1900
2014-01-02	$0.1700
2013-10-01	$0.1700
2013-07-01	$0.1700
2013-04-04	$0.1700
2012-11-27	$0.1400
2012-10-02	$0.1400
2012-07-02	$0.0800
2012-04-03	$0.0800
2012-01-03	$0.0600
2011-10-04	$0.0600
2011-07-05	$0.0600
2011-03-29	$0.0600

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.24. Further, an Excess Kurtosis of 7.87 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.27%	79	0.87%	0.87%
-7.27% to -5.42%	95	1.05%	1.92%
-5.42% to -3.58%	293	3.23%	5.15%
-3.58% to -1.73%	948	10.46%	15.61%
-1.73% to 0.11%	3209	35.39%	51.00%
0.11% to 1.96%	3034	33.46%	84.46%
1.96% to 3.80%	927	10.22%	94.68%
3.80% to 5.64%	310	3.42%	98.10%
5.64% to 7.49%	93	1.03%	99.13%
Greater than 7.49%	79	0.87%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.35%	2.57%	78.60%	68.27%
±2σ	-4.81%	5.03%	94.84%	95.45%
±3σ	-7.27%	7.49%	98.26%	99.73%

Descriptive Statistics

Mean	0.111%
Standard Error	0.026%
Median	0.069%
Mode	0.000%
Standard Deviation	2.459%
Sample Variance	6.046%
Kurtosis	7.87
Skewness	0.24
Range	44.216%
Minimum	-19.828%
Maximum	24.388%
Count	9067

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.713%	4671	51.52%	0.882%
Negative	-1.665%	4200	46.32%	-0.771%
Zero	0.000%	196	2.16%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.52%
20	1 Month	3.27%
60	1 Quarter	2.21%
250	1 Year	2.11%
750	3 Years	1.77%
1,250	5 Years	1.90%
2,500	10 Years	1.95%
5,000	20 Years	2.21%
12,500	50 Years	3.08%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.61. Further, an Excess Kurtosis of 14.16 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -3.36%	0	0.00%	0.00%
-3.36% to -1.79%	0	0.00%	0.00%
-1.79% to -0.22%	0	0.00%	0.00%
-0.22% to 1.35%	1647	18.16%	18.16%
1.35% to 2.92%	4112	45.35%	63.51%
2.92% to 4.49%	1820	20.07%	83.58%
4.49% to 6.07%	810	8.93%	92.51%
6.07% to 7.64%	344	3.79%	96.31%
7.64% to 9.21%	180	1.99%	98.29%
Greater than 9.21%	155	1.71%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	0.83%	5.02%	84.94%	68.27%
±2σ	-1.27%	7.11%	95.47%	95.45%
±3σ	-3.36%	9.21%	98.29%	99.73%

Descriptive Statistics

Mean	2.922%
Standard Error	0.022%
Median	2.311%
Mode	2.020%
Standard Deviation	2.095%
Sample Variance	4.389%
Kurtosis	14.16
Skewness	2.61
Range	30.683%
Minimum	0.041%
Maximum	30.724%
Count	9068

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.922%	9068	100.00%	2.922%
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 0.32. Further, an Excess Kurtosis of 8.10 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -6.27%	60	0.66%	0.66%
-6.27% to -4.70%	97	1.07%	1.73%
-4.70% to -3.13%	301	3.32%	5.05%
-3.13% to -1.56%	983	10.84%	15.89%
-1.56% to 0.01%	3336	36.79%	52.68%
0.01% to 1.58%	2876	31.72%	84.40%
1.58% to 3.15%	897	9.89%	94.29%
3.15% to 4.72%	319	3.52%	97.81%
4.72% to 6.29%	103	1.14%	98.94%
Greater than 6.29%	96	1.06%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.08%	2.10%	78.31%	68.27%
±2σ	-4.17%	4.19%	94.66%	95.45%
±3σ	-6.27%	6.29%	98.28%	99.73%

Descriptive Statistics

Mean	0.009%
Standard Error	0.022%
Median	-0.032%
Mode	0.000%
Standard Deviation	2.092%
Sample Variance	4.376%
Kurtosis	8.10
Skewness	0.32
Range	45.231%
Minimum	-21.180%
Maximum	24.051%
Count	9068

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.515%	4291	47.32%	0.717%
Negative	-1.408%	4556	50.24%	-0.707%
Zero	0.000%	221	2.44%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.33. Further, an Excess Kurtosis of 3.95 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.39%	8	0.43%	0.43%
-15.39% to -11.41%	27	1.44%	1.86%
-11.41% to -7.43%	70	3.73%	5.59%
-7.43% to -3.45%	220	11.71%	17.30%
-3.45% to 0.53%	643	34.22%	51.52%
0.53% to 4.51%	596	31.72%	83.24%
4.51% to 8.50%	197	10.48%	93.72%
8.50% to 12.48%	76	4.04%	97.76%
12.48% to 16.46%	26	1.38%	99.15%
Greater than 16.46%	16	0.85%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-4.78%	5.84%	76.74%	68.27%
±2σ	-10.09%	11.15%	93.88%	95.45%
±3σ	-15.39%	16.46%	98.72%	99.73%

Descriptive Statistics

Mean	0.533%
Standard Error	0.122%
Median	0.389%
Mode	0.000%
Standard Deviation	5.309%
Sample Variance	28.189%
Kurtosis	3.95
Skewness	0.33
Range	64.647%
Minimum	-27.075%
Maximum	37.572%
Count	1879

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.988%	1014	53.97%	2.152%
Negative	-3.571%	852	45.34%	-1.619%
Zero	0.000%	13	0.69%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	8.56%
12	1 Quarter	5.39%
52	1 Year	4.98%
156	3 Years	4.25%
260	5 Years	4.55%
520	10 Years	4.60%
1,040	20 Years	5.11%
2,600	50 Years	7.19%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.04. Further, an Excess Kurtosis of 6.44 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.36%	0	0.00%	0.00%
-8.36% to -4.39%	0	0.00%	0.00%
-4.39% to -0.42%	0	0.00%	0.00%
-0.42% to 3.54%	381	20.27%	20.27%
3.54% to 7.51%	809	43.03%	63.30%
7.51% to 11.48%	360	19.15%	82.45%
11.48% to 15.45%	184	9.79%	92.23%
15.45% to 19.42%	84	4.47%	96.70%
19.42% to 23.39%	27	1.44%	98.14%
Greater than 23.39%	35	1.86%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	2.22%	12.81%	82.71%	68.27%
±2σ	-3.07%	18.10%	95.43%	95.45%
±3σ	-8.36%	23.39%	98.14%	99.73%

Descriptive Statistics

Mean	7.515%
Standard Error	0.122%
Median	5.953%
Mode	10.000%
Standard Deviation	5.293%
Sample Variance	28.013%
Kurtosis	6.44
Skewness	2.04
Range	45.933%
Minimum	1.006%
Maximum	46.939%
Count	1880

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	7.515%	1880	100.00%	7.515%
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 0.79. Further, an Excess Kurtosis of 5.32 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%	7	0.37%	0.37%
-15.79% to -11.87%	23	1.22%	1.60%
-11.87% to -7.95%	68	3.62%	5.21%
-7.95% to -4.03%	216	11.49%	16.70%
-4.03% to -0.12%	668	35.53%	52.23%
-0.12% to 3.80%	593	31.54%	83.78%
3.80% to 7.72%	191	10.16%	93.94%
7.72% to 11.64%	69	3.67%	97.61%
11.64% to 15.56%	27	1.44%	99.04%
Greater than 15.56%	18	0.96%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-5.34%	5.11%	76.33%	68.27%
±2σ	-10.56%	10.33%	94.84%	95.45%
±3σ	-15.79%	15.56%	98.67%	99.73%

Descriptive Statistics

Mean	-0.115%
Standard Error	0.120%
Median	-0.300%
Mode	0.000%
Standard Deviation	5.224%
Sample Variance	27.292%
Kurtosis	5.32
Skewness	0.79
Range	63.244%
Minimum	-25.210%
Maximum	38.034%
Count	1880

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.843%	868	46.17%	1.774%
Negative	-3.558%	998	53.09%	-1.889%
Zero	0.000%	14	0.74%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.16. Further, an Excess Kurtosis of 1.43 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -28.49%	2	0.46%	0.46%
-28.49% to -20.81%	4	0.93%	1.39%
-20.81% to -13.13%	16	3.70%	5.09%
-13.13% to -5.45%	65	15.05%	20.14%
-5.45% to 2.23%	135	31.25%	51.39%
2.23% to 9.90%	131	30.32%	81.71%
9.90% to 17.59%	47	10.88%	92.59%
17.59% to 25.26%	22	5.09%	97.69%
25.26% to 32.94%	6	1.39%	99.07%
Greater than 32.94%	4	0.93%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-8.01%	12.46%	73.38%	68.27%
±2σ	-18.25%	22.70%	94.44%	95.45%
±3σ	-28.49%	32.94%	98.61%	99.73%

Descriptive Statistics

Mean	2.226%
Standard Error	0.493%
Median	1.963%
Mode	-2.395%
Standard Deviation	10.239%
Sample Variance	104.835%
Kurtosis	1.43
Skewness	0.16
Range	75.644%
Minimum	-36.728%
Maximum	38.916%
Count	432

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.292%	262	60.65%	5.029%
Negative	-7.121%	170	39.35%	-2.802%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	11.45%
12	1 Year	10.44%
36	3 Years	9.21%
60	5 Years	10.09%
120	10 Years	10.21%
240	20 Years	11.18%
600	50 Years	15.51%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.68. Further, an Excess Kurtosis of 3.64 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -15.86%	0	0.00%	0.00%
-15.86% to -7.63%	0	0.00%	0.00%
-7.63% to 0.61%	0	0.00%	0.00%
0.61% to 8.84%	99	22.86%	22.86%
8.84% to 17.07%	172	39.72%	62.59%
17.07% to 25.31%	84	19.40%	81.99%
25.31% to 33.54%	49	11.32%	93.30%
33.54% to 41.77%	14	3.23%	96.54%
41.77% to 50.01%	5	1.15%	97.69%
Greater than 50.01%	10	2.31%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	6.10%	28.05%	79.45%	68.27%
±2σ	-4.88%	39.03%	94.69%	95.45%
±3σ	-15.86%	50.01%	97.69%	99.73%

Descriptive Statistics

Mean	17.074%
Standard Error	0.528%
Median	14.183%
Mode	7.059%
Standard Deviation	10.978%
Sample Variance	120.506%
Kurtosis	3.64
Skewness	1.68
Range	63.635%
Minimum	2.615%
Maximum	66.250%
Count	433

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	17.074%	433	100.00%	17.074%
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 0.96. Further, an Excess Kurtosis of 3.85 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -31.92%	0	0.00%	0.00%
-31.92% to -24.19%	4	0.92%	0.92%
-24.19% to -16.46%	14	3.23%	4.16%
-16.46% to -8.73%	68	15.70%	19.86%
-8.73% to -1.00%	149	34.41%	54.27%
-1.00% to 6.73%	117	27.02%	81.29%
6.73% to 14.46%	53	12.24%	93.53%
14.46% to 22.18%	16	3.70%	97.23%
22.18% to 29.91%	8	1.85%	99.08%
Greater than 29.91%	4	0.92%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-11.31%	9.30%	75.29%	68.27%
±2σ	-21.61%	19.61%	94.92%	95.45%
±3σ	-31.92%	29.91%	99.08%	99.73%

Descriptive Statistics

Mean	-1.001%
Standard Error	0.495%
Median	-1.664%
Mode	-5.251%
Standard Deviation	10.305%
Sample Variance	106.200%
Kurtosis	3.85
Skewness	0.96
Range	87.094%
Minimum	-28.783%
Maximum	58.311%
Count	433

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	8.404%	170	39.26%	3.299%
Negative	-7.108%	262	60.51%	-4.301%
Zero	0.000%	1	0.23%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.94. Further, an Excess Kurtosis of 3.42 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.50%	1	0.69%	0.69%
-53.50% to -38.37%	0	0.00%	0.69%
-38.37% to -23.23%	5	3.47%	4.17%
-23.23% to -8.10%	21	14.58%	18.75%
-8.10% to 7.03%	46	31.94%	50.69%
7.03% to 22.16%	47	32.64%	83.33%
22.16% to 37.29%	13	9.03%	92.36%
37.29% to 52.42%	7	4.86%	97.22%
52.42% to 67.56%	2	1.39%	98.61%
Greater than 67.56%	2	1.39%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.15%	27.20%	75.00%	68.27%
±2σ	-33.32%	47.38%	95.14%	95.45%
±3σ	-53.50%	67.56%	97.92%	99.73%

Descriptive Statistics

Mean	7.029%
Standard Error	1.681%
Median	6.408%
Mode	-5.612%
Standard Deviation	20.176%
Sample Variance	407.059%
Kurtosis	3.42
Skewness	0.94
Range	152.948%
Minimum	-54.644%
Maximum	98.304%
Count	144

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	17.184%	93	64.58%	11.098%
Negative	-11.488%	51	35.42%	-4.069%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	16.27%
12	3 Years	16.04%
20	5 Years	16.65%
40	10 Years	17.82%
80	20 Years	20.02%
200	50 Years	27.74%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.09. Further, an Excess Kurtosis of 16.67 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -35.76%	0	0.00%	0.00%
-35.76% to -18.65%	0	0.00%	0.00%
-18.65% to -1.54%	0	0.00%	0.00%
-1.54% to 15.57%	25	17.24%	17.24%
15.57% to 32.68%	72	49.66%	66.90%
32.68% to 49.80%	25	17.24%	84.14%
49.80% to 66.91%	15	10.34%	94.48%
66.91% to 84.02%	4	2.76%	97.24%
84.02% to 101.13%	2	1.38%	98.62%
Greater than 101.13%	2	1.38%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	9.87%	55.50%	86.21%	68.27%
±2σ	-12.95%	78.31%	95.17%	95.45%
±3σ	-35.76%	101.13%	98.62%	99.73%

Descriptive Statistics

Mean	32.684%
Standard Error	1.895%
Median	27.332%
Mode	6.999%
Standard Deviation	22.815%
Sample Variance	520.544%
Kurtosis	16.67
Skewness	3.09
Range	185.892%
Minimum	6.999%
Maximum	192.891%
Count	145

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	32.684%	145	100.00%	32.684%
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 1.93. Further, an Excess Kurtosis of 10.82 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -61.04%	0	0.00%	0.00%
-61.04% to -46.49%	1	0.69%	0.69%
-46.49% to -31.95%	4	2.76%	3.45%
-31.95% to -17.40%	20	13.79%	17.24%
-17.40% to -2.85%	54	37.24%	54.48%
-2.85% to 11.69%	43	29.66%	84.14%
11.69% to 26.24%	16	11.03%	95.17%
26.24% to 40.78%	4	2.76%	97.93%
40.78% to 55.33%	2	1.38%	99.31%
Greater than 55.33%	1	0.69%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-22.25%	16.54%	75.17%	68.27%
±2σ	-41.64%	35.94%	95.86%	95.45%
±3σ	-61.04%	55.33%	99.31%	99.73%

Descriptive Statistics

Mean	-2.855%
Standard Error	1.611%
Median	-5.106%
Mode	-50.428%
Standard Deviation	19.395%
Sample Variance	376.184%
Kurtosis	10.82
Skewness	1.93
Range	171.276%
Minimum	-50.428%
Maximum	120.848%
Count	145

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	14.170%	56	38.62%	5.473%
Negative	-13.568%	89	61.38%	-8.328%
Zero	0.000%	0	0.00%	0.000%

CSCO Deep Analytical Report