ADBE - 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	3.02%	2.59%	2.59%	2.84%	2.31%	2.39%	242.21	253.65	236.68	259.57
Weekly	6.68%	6.88%	6.74%	6.87%	5.08%	5.27%	235.59	260.78	223.92	274.37
Monthly	13.36%	16.96%	13.39%	15.46%	10.58%	10.96%	222.99	275.52	200.61	306.25
Quarterly	27.66%	31.82%	23.13%	27.12%	18.32%	18.99%	206.38	297.69	171.83	357.54
Annual	—	—	—	—	36.64%	37.97%	171.83	357.54	119.12	515.74
Option Time Horizon	—	—	—	—	13.83%	14.33%	215.85	284.62	187.98	326.83

Calculation Notes: Computed at 2026-03-23T16:32 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $247.87 | Strike (K): $250.00 (first OTM call ≥ spot) | Observed Mid-Price: $13.2750 (Bid $13.1000 / Ask $13.4500) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.00% | Binomial IV (Annual): 36.64% (CRR binomial tree, American, n=20 steps) | BS IV: 36.61% (European Black-Scholes) | Yahoo IV (Annual): 37.97% → 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
2005-03-24	$0.0065
2004-12-23	$0.0065
2004-09-24	$0.0065
2004-06-25	$0.0065
2004-03-26	$0.0065
2004-01-07	$0.0065
2003-09-19	$0.0065
2003-06-19	$0.0065
2003-03-20	$0.0065
2003-01-07	$0.0065
2002-09-20	$0.0065
2002-06-21	$0.0065
2002-03-21	$0.0065
2001-12-31	$0.0065
2001-09-21	$0.0065
2001-06-22	$0.0065
2001-03-22	$0.0065
2001-01-02	$0.0065
2000-09-28	$0.0063
2000-06-30	$0.0063
2000-03-23	$0.0063
1999-12-23	$0.0063
1999-09-24	$0.0063
1999-06-29	$0.0063
1999-03-29	$0.0063
1998-12-23	$0.0063
1998-09-21	$0.0063
1998-07-01	$0.0022
1998-04-01	$0.0022
1997-12-30	$0.0022
1997-09-29	$0.0063
1997-07-29	$0.0063
1997-07-02	$0.0063
1997-03-27	$0.0063
1997-01-14	$0.0063
1996-09-30	$0.0063
1996-07-03	$0.0063
1996-04-02	$0.0063
1996-01-17	$0.0063
1995-10-04	$0.0063
1995-07-05	$0.0063
1995-03-31	$0.0063
1995-01-12	$0.0063
1994-09-29	$0.0063
1994-06-30	$0.0063
1994-03-28	$0.0063
1994-01-21	$0.0063
1993-10-01	$0.0063
1993-06-23	$0.0063
1993-03-26	$0.0063
1993-01-19	$0.0050
1992-09-24	$0.0050
1992-06-23	$0.0050
1992-03-23	$0.0050
1992-01-09	$0.0050
1991-09-25	$0.0050
1991-06-26	$0.0050
1991-03-22	$0.0050
1991-01-09	$0.0003
1990-09-14	$0.0003
1990-07-02	$0.0037
1990-03-26	$0.0037
1990-01-08	$0.0031

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.13. Further, an Excess Kurtosis of 9.97 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -8.95%	70	0.70%	0.70%
-8.95% to -6.68%	89	0.89%	1.59%
-6.68% to -4.41%	290	2.91%	4.50%
-4.41% to -2.15%	1127	11.30%	15.80%
-2.15% to 0.12%	3611	36.19%	51.99%
0.12% to 2.38%	3289	32.97%	84.96%
2.38% to 4.65%	964	9.66%	94.62%
4.65% to 6.91%	318	3.19%	97.80%
6.91% to 9.18%	120	1.20%	99.01%
Greater than 9.18%	99	0.99%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.90%	3.14%	79.15%	68.27%
±2σ	-5.92%	6.16%	95.05%	95.45%
±3σ	-8.95%	9.18%	98.31%	99.73%

Descriptive Statistics

Mean	0.117%
Standard Error	0.030%
Median	0.000%
Mode	0.000%
Standard Deviation	3.021%
Sample Variance	9.128%
Kurtosis	9.97
Skewness	0.13
Range	62.401%
Minimum	-30.198%
Maximum	32.203%
Count	9977

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.144%	4974	49.85%	1.069%
Negative	-2.002%	4741	47.52%	-0.951%
Zero	0.000%	262	2.63%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	2.84%
20	1 Month	3.73%
60	1 Quarter	3.33%
250	1 Year	2.77%
750	3 Years	2.66%
1,250	5 Years	2.84%
2,500	10 Years	2.63%
5,000	20 Years	2.70%
12,500	50 Years	3.77%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.07. Further, an Excess Kurtosis of 20.75 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.17%	0	0.00%	0.00%
-4.17% to -2.23%	0	0.00%	0.00%
-2.23% to -0.28%	0	0.00%	0.00%
-0.28% to 1.66%	1725	17.29%	17.29%
1.66% to 3.61%	4626	46.36%	63.65%
3.61% to 5.56%	2062	20.67%	84.32%
5.56% to 7.50%	878	8.80%	93.11%
7.50% to 9.45%	347	3.48%	96.59%
9.45% to 11.39%	171	1.71%	98.31%
Greater than 11.39%	169	1.69%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.02%	6.20%	84.98%	68.27%
±2σ	-1.58%	8.80%	95.63%	95.45%
±3σ	-4.17%	11.39%	98.34%	99.73%

Descriptive Statistics

Mean	3.610%
Standard Error	0.026%
Median	2.911%
Mode	3.571%
Standard Deviation	2.594%
Sample Variance	6.730%
Kurtosis	20.75
Skewness	3.07
Range	40.923%
Minimum	0.456%
Maximum	41.379%
Count	9978

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	3.610%	9978	100.00%	3.610%
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 7.40 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -7.77%	78	0.78%	0.78%
-7.77% to -5.83%	111	1.11%	1.89%
-5.83% to -3.89%	348	3.49%	5.38%
-3.89% to -1.95%	1096	10.98%	16.37%
-1.95% to -0.01%	3289	32.96%	49.33%
-0.01% to 1.94%	3410	34.18%	83.50%
1.94% to 3.88%	1101	11.03%	94.54%
3.88% to 5.82%	340	3.41%	97.95%
5.82% to 7.76%	123	1.23%	99.18%
Greater than 7.76%	82	0.82%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-2.59%	2.58%	77.59%	68.27%
±2σ	-5.18%	5.17%	94.69%	95.45%
±3σ	-7.77%	7.76%	98.40%	99.73%

Descriptive Statistics

Mean	-0.005%
Standard Error	0.026%
Median	0.000%
Mode	0.000%
Standard Deviation	2.587%
Sample Variance	6.694%
Kurtosis	7.40
Skewness	0.34
Range	49.267%
Minimum	-24.359%
Maximum	24.908%
Count	9978

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	1.887%	4669	46.79%	0.883%
Negative	-1.800%	4925	49.36%	-0.888%
Zero	0.000%	384	3.85%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.30. Further, an Excess Kurtosis of 5.64 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -19.48%	10	0.48%	0.48%
-19.48% to -14.47%	27	1.31%	1.79%
-14.47% to -9.45%	63	3.05%	4.84%
-9.45% to -4.44%	268	12.97%	17.81%
-4.44% to 0.57%	676	32.72%	50.53%
0.57% to 5.58%	688	33.30%	83.83%
5.58% to 10.59%	226	10.94%	94.77%
10.59% to 15.60%	64	3.10%	97.87%
15.60% to 20.61%	25	1.21%	99.08%
Greater than 20.61%	19	0.92%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.11%	7.25%	77.01%	68.27%
±2σ	-12.80%	13.93%	94.39%	95.45%
±3σ	-19.48%	20.61%	98.60%	99.73%

Descriptive Statistics

Mean	0.569%
Standard Error	0.147%
Median	0.486%
Mode	0.000%
Standard Deviation	6.682%
Sample Variance	44.655%
Kurtosis	5.64
Skewness	0.30
Range	96.515%
Minimum	-45.000%
Maximum	51.515%
Count	2066

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.843%	1117	54.07%	2.618%
Negative	-4.573%	926	44.82%	-2.050%
Zero	0.000%	23	1.11%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	9.59%
12	1 Quarter	8.54%
52	1 Year	6.67%
156	3 Years	6.40%
260	5 Years	6.87%
520	10 Years	6.19%
1,040	20 Years	6.32%
2,600	50 Years	8.86%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 3.55. Further, an Excess Kurtosis of 27.46 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -11.28%	0	0.00%	0.00%
-11.28% to -6.12%	0	0.00%	0.00%
-6.12% to -0.96%	0	0.00%	0.00%
-0.96% to 4.20%	354	17.13%	17.13%
4.20% to 9.36%	952	46.06%	63.18%
9.36% to 14.52%	440	21.29%	84.47%
14.52% to 19.68%	186	9.00%	93.47%
19.68% to 24.84%	68	3.29%	96.76%
24.84% to 30.00%	40	1.94%	98.69%
Greater than 30.00%	27	1.31%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	2.48%	16.24%	85.20%	68.27%
±2σ	-4.40%	23.12%	96.18%	95.45%
±3σ	-11.28%	30.00%	98.69%	99.73%

Descriptive Statistics

Mean	9.359%
Standard Error	0.151%
Median	7.622%
Mode	10.000%
Standard Deviation	6.881%
Sample Variance	47.343%
Kurtosis	27.46
Skewness	3.55
Range	93.106%
Minimum	1.125%
Maximum	94.231%
Count	2067

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	9.359%	2067	100.00%	9.359%
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 1.60. Further, an Excess Kurtosis of 15.46 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -20.24%	8	0.39%	0.39%
-20.24% to -15.18%	20	0.97%	1.35%
-15.18% to -10.13%	67	3.24%	4.60%
-10.13% to -5.07%	231	11.18%	15.77%
-5.07% to -0.02%	784	37.93%	53.70%
-0.02% to 5.04%	625	30.24%	83.94%
5.04% to 10.09%	228	11.03%	94.97%
10.09% to 15.15%	55	2.66%	97.63%
15.15% to 20.20%	31	1.50%	99.13%
Greater than 20.20%	18	0.87%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-6.76%	6.72%	78.57%	68.27%
±2σ	-13.50%	13.46%	95.21%	95.45%
±3σ	-20.24%	20.20%	98.74%	99.73%

Descriptive Statistics

Mean	-0.019%
Standard Error	0.148%
Median	-0.502%
Mode	0.000%
Standard Deviation	6.740%
Sample Variance	45.433%
Kurtosis	15.46
Skewness	1.60
Range	115.818%
Minimum	-34.000%
Maximum	81.818%
Count	2067

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	5.016%	932	45.09%	2.262%
Negative	-4.247%	1110	53.70%	-2.281%
Zero	0.000%	25	1.21%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.63. Further, an Excess Kurtosis of 3.78 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -37.70%	2	0.42%	0.42%
-37.70% to -27.68%	5	1.05%	1.47%
-27.68% to -17.66%	14	2.95%	4.42%
-17.66% to -7.64%	74	15.58%	20.00%
-7.64% to 2.38%	139	29.26%	49.26%
2.38% to 12.40%	161	33.89%	83.16%
12.40% to 22.41%	48	10.11%	93.26%
22.41% to 32.43%	20	4.21%	97.47%
32.43% to 42.45%	10	2.11%	99.58%
Greater than 42.45%	2	0.42%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-10.98%	15.74%	76.42%	68.27%
±2σ	-24.34%	29.09%	94.32%	95.45%
±3σ	-37.70%	42.45%	99.16%	99.73%

Descriptive Statistics

Mean	2.378%
Standard Error	0.613%
Median	2.428%
Mode	-9.308%
Standard Deviation	13.358%
Sample Variance	178.446%
Kurtosis	3.78
Skewness	0.63
Range	130.330%
Minimum	-45.086%
Maximum	85.244%
Count	475

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	10.598%	277	58.32%	6.180%
Negative	-9.122%	198	41.68%	-3.802%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	18.25%
12	1 Year	13.26%
36	3 Years	14.38%
60	5 Years	15.46%
120	10 Years	13.67%
240	20 Years	13.75%
600	50 Years	19.22%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 6.01. Further, an Excess Kurtosis of 69.88 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -29.08%	0	0.00%	0.00%
-29.08% to -16.36%	0	0.00%	0.00%
-16.36% to -3.64%	0	0.00%	0.00%
-3.64% to 9.07%	56	11.76%	11.76%
9.07% to 21.79%	241	50.63%	62.39%
21.79% to 34.51%	125	26.26%	88.66%
34.51% to 47.23%	28	5.88%	94.54%
47.23% to 59.95%	17	3.57%	98.11%
59.95% to 72.66%	3	0.63%	98.74%
Greater than 72.66%	6	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.84%	38.75%	90.34%	68.27%
±2σ	-12.12%	55.71%	97.06%	95.45%
±3σ	-29.08%	72.66%	98.74%	99.73%

Descriptive Statistics

Mean	21.792%
Standard Error	0.777%
Median	17.773%
Mode	9.656%
Standard Deviation	16.957%
Sample Variance	287.538%
Kurtosis	69.88
Skewness	6.01
Range	246.199%
Minimum	3.801%
Maximum	250.000%
Count	476

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	21.792%	476	100.00%	21.792%
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 1.27. Further, an Excess Kurtosis of 5.48 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -40.73%	1	0.21%	0.21%
-40.73% to -30.68%	1	0.21%	0.42%
-30.68% to -20.64%	19	3.99%	4.41%
-20.64% to -10.60%	65	13.66%	18.07%
-10.60% to -0.56%	179	37.61%	55.67%
-0.56% to 9.48%	127	26.68%	82.35%
9.48% to 19.52%	58	12.18%	94.54%
19.52% to 29.57%	13	2.73%	97.27%
29.57% to 39.61%	7	1.47%	98.74%
Greater than 39.61%	6	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-13.95%	12.83%	77.10%	68.27%
±2σ	-27.34%	26.22%	95.59%	95.45%
±3σ	-40.73%	39.61%	98.53%	99.73%

Descriptive Statistics

Mean	-0.560%
Standard Error	0.614%
Median	-2.364%
Mode	0.000%
Standard Deviation	13.389%
Sample Variance	179.255%
Kurtosis	5.48
Skewness	1.27
Range	127.574%
Minimum	-45.221%
Maximum	82.353%
Count	476

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	11.144%	195	40.97%	4.565%
Negative	-8.776%	278	58.40%	-5.125%
Zero	0.000%	3	0.63%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.31. Further, an Excess Kurtosis of 12.02 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -75.76%	0	0.00%	0.00%
-75.76% to -55.01%	0	0.00%	0.00%
-55.01% to -34.26%	5	3.16%	3.16%
-34.26% to -13.51%	25	15.82%	18.99%
-13.51% to 7.23%	57	36.08%	55.06%
7.23% to 27.98%	48	30.38%	85.44%
27.98% to 48.73%	17	10.76%	96.20%
48.73% to 69.47%	3	1.90%	98.10%
69.47% to 90.22%	0	0.00%	98.10%
Greater than 90.22%	3	1.90%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-20.43%	34.90%	79.11%	68.27%
±2σ	-48.09%	62.56%	96.84%	95.45%
±3σ	-75.76%	90.22%	98.10%	99.73%

Descriptive Statistics

Mean	7.233%
Standard Error	2.201%
Median	4.751%
Mode	-42.551%
Standard Deviation	27.663%
Sample Variance	765.223%
Kurtosis	12.02
Skewness	2.31
Range	227.845%
Minimum	-42.551%
Maximum	185.294%
Count	158

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	19.654%	104	65.82%	12.937%
Negative	-16.691%	54	34.18%	-5.704%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	18.24%
12	3 Years	25.69%
20	5 Years	27.12%
40	10 Years	24.25%
80	20 Years	23.93%
200	50 Years	34.77%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.90. Further, an Excess Kurtosis of 13.25 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -52.51%	0	0.00%	0.00%
-52.51% to -28.65%	0	0.00%	0.00%
-28.65% to -4.79%	0	0.00%	0.00%
-4.79% to 19.08%	27	16.98%	16.98%
19.08% to 42.94%	75	47.17%	64.15%
42.94% to 66.80%	34	21.38%	85.53%
66.80% to 90.67%	12	7.55%	93.08%
90.67% to 114.53%	7	4.40%	97.48%
114.53% to 138.40%	2	1.26%	98.74%
Greater than 138.40%	2	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	11.12%	74.76%	88.68%	68.27%
±2σ	-20.70%	106.58%	96.86%	95.45%
±3σ	-52.51%	138.40%	98.74%	99.73%

Descriptive Statistics

Mean	42.941%
Standard Error	2.523%
Median	34.221%
Mode	100.000%
Standard Deviation	31.818%
Sample Variance	1012.394%
Kurtosis	13.25
Skewness	2.90
Range	238.700%
Minimum	11.300%
Maximum	250.000%
Count	159

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	42.941%	159	100.00%	42.941%
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 0.76. Further, an Excess Kurtosis of 1.21 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -71.08%	0	0.00%	0.00%
-71.08% to -53.73%	2	1.26%	1.26%
-53.73% to -36.38%	4	2.52%	3.77%
-36.38% to -19.03%	25	15.72%	19.50%
-19.03% to -1.68%	62	38.99%	58.49%
-1.68% to 15.67%	36	22.64%	81.13%
15.67% to 33.02%	13	8.18%	89.31%
33.02% to 50.37%	12	7.55%	96.86%
50.37% to 67.72%	3	1.89%	98.74%
Greater than 67.72%	2	1.26%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-24.81%	21.45%	72.96%	68.27%
±2σ	-47.94%	44.59%	93.08%	95.45%
±3σ	-71.08%	67.72%	98.74%	99.73%

Descriptive Statistics

Mean	-1.679%
Standard Error	1.834%
Median	-4.964%
Mode	-64.433%
Standard Deviation	23.132%
Sample Variance	535.096%
Kurtosis	1.21
Skewness	0.76
Range	136.679%
Minimum	-64.433%
Maximum	72.246%
Count	159

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	22.574%	55	34.59%	7.809%
Negative	-14.506%	104	65.41%	-9.488%
Zero	0.000%	0	0.00%	0.000%

ADBE Deep Analytical Report