MU - 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	3.80%	3.07%	3.35%	4.07%	4.28%	4.30%	387.35	421.97	371.12	440.43
Weekly	8.55%	7.97%	8.57%	10.01%	9.42%	9.47%	367.93	444.24	334.85	488.14
Monthly	17.22%	20.27%	17.93%	22.11%	19.62%	19.71%	332.28	491.91	273.09	598.51
Quarterly	34.44%	39.89%	34.26%	42.66%	33.98%	34.13%	287.83	567.87	204.92	797.62
Annual	—	—	—	—	67.95%	68.27%	204.92	797.62	103.87	1573.64
Option Time Horizon	—	—	—	—	25.65%	25.77%	312.83	522.49	242.06	675.25

Calculation Notes: Computed at 2026-03-23T16:33 UTC | Reference Contract: Call option expiring 2026-05-15 (52 days) | Spot Price (S): $404.29 | Strike (K): $410.00 (first OTM call ≥ spot) | Observed Mid-Price: $39.5750 (Bid $39.1500 / Ask $40.0000) | Risk-Free Rate (r): 3.73% (1-Month CMT, US Treasury) | Dividend Yield (q): 0.12% | Binomial IV (Annual): 67.95% (CRR binomial tree, American, n=20 steps) | BS IV: 67.82% (European Black-Scholes) | Yahoo IV (Annual): 68.27% → 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
2025-12-29	$0.1150
2025-10-03	$0.1150
2025-07-07	$0.1150
2025-03-31	$0.1150
2024-12-30	$0.1150
2024-10-07	$0.1150
2024-07-08	$0.1150
2024-03-28	$0.1150
2023-12-29	$0.1150
2023-10-06	$0.1150
2023-07-07	$0.1150
2023-04-06	$0.1150
2022-12-30	$0.1150
2022-10-07	$0.1150
2022-07-08	$0.1150
2022-04-08	$0.1000
2021-12-31	$0.1000
2021-09-30	$0.1000
1996-05-07	$0.0250
1995-12-26	$0.0250
1995-11-08	$0.0250
1995-08-09	$0.0250
1995-05-30	$0.0250
1995-03-30	$0.0250
1994-12-29	$0.0125
1994-09-26	$0.0125
1994-07-19	$0.0125
1994-04-26	$0.0125
1993-11-26	$0.0050
1992-11-27	$0.0050
1991-11-22	$0.0050

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.13. Further, an Excess Kurtosis of 3.48 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -11.27%	66	0.63%	0.63%
-11.27% to -8.42%	96	0.91%	1.54%
-8.42% to -5.57%	359	3.41%	4.95%
-5.57% to -2.72%	1415	13.44%	18.38%
-2.72% to 0.13%	3606	34.24%	52.63%
0.13% to 2.98%	3102	29.46%	82.08%
2.98% to 5.83%	1265	12.01%	94.09%
5.83% to 8.68%	397	3.77%	97.86%
8.68% to 11.53%	140	1.33%	99.19%
Greater than 11.53%	85	0.81%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.67%	3.93%	75.56%	68.27%
±2σ	-7.47%	7.73%	94.63%	95.45%
±3σ	-11.27%	11.53%	98.57%	99.73%

Descriptive Statistics

Mean	0.126%
Standard Error	0.037%
Median	0.000%
Mode	0.000%
Standard Deviation	3.800%
Sample Variance	14.438%
Kurtosis	3.48
Skewness	0.13
Range	48.972%
Minimum	-25.243%
Maximum	23.729%
Count	10531

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.956%	5099	48.42%	1.431%
Negative	-2.717%	5057	48.02%	-1.305%
Zero	0.000%	375	3.56%	0.000%

Average True Range Percentage (ATRP)

Trading Days	Horizon	Average Daily True Range %
5	1 Week	6.87%
20	1 Month	6.51%
60	1 Quarter	6.19%
250	1 Year	5.27%
750	3 Years	4.27%
1,250	5 Years	4.07%
2,500	10 Years	3.99%
5,000	20 Years	4.33%
12,500	50 Years	4.99%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.62. Further, an Excess Kurtosis of 12.74 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -4.43%	0	0.00%	0.00%
-4.43% to -2.13%	0	0.00%	0.00%
-2.13% to 0.18%	0	0.00%	0.00%
0.18% to 2.48%	1845	17.52%	17.52%
2.48% to 4.79%	4780	45.39%	62.90%
4.79% to 7.09%	2220	21.08%	83.98%
7.09% to 9.40%	963	9.14%	93.13%
9.40% to 11.71%	375	3.56%	96.69%
11.71% to 14.01%	155	1.47%	98.16%
Greater than 14.01%	194	1.84%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	1.72%	7.86%	83.20%	68.27%
±2σ	-1.36%	10.94%	95.85%	95.45%
±3σ	-4.43%	14.01%	98.16%	99.73%

Descriptive Statistics

Mean	4.790%
Standard Error	0.030%
Median	3.970%
Mode	4.348%
Standard Deviation	3.074%
Sample Variance	9.451%
Kurtosis	12.74
Skewness	2.62
Range	42.121%
Minimum	0.472%
Maximum	42.593%
Count	10532

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	4.790%	10532	100.00%	4.790%
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 0.44. 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 -9.92%	61	0.58%	0.58%
-9.92% to -7.40%	121	1.15%	1.73%
-7.40% to -4.89%	405	3.85%	5.57%
-4.89% to -2.38%	1259	11.95%	17.53%
-2.38% to 0.14%	3579	33.98%	51.51%
0.14% to 2.65%	3271	31.06%	82.57%
2.65% to 5.17%	1250	11.87%	94.44%
5.17% to 7.68%	396	3.76%	98.20%
7.68% to 10.19%	115	1.09%	99.29%
Greater than 10.19%	75	0.71%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-3.21%	3.49%	76.50%	68.27%
±2σ	-6.57%	6.84%	94.64%	95.45%
±3σ	-9.92%	10.19%	98.71%	99.73%

Descriptive Statistics

Mean	0.138%
Standard Error	0.033%
Median	0.000%
Mode	0.000%
Standard Deviation	3.352%
Sample Variance	11.233%
Kurtosis	5.64
Skewness	0.44
Range	51.607%
Minimum	-19.139%
Maximum	32.468%
Count	10532

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	2.529%	5252	49.87%	1.261%
Negative	-2.437%	4854	46.09%	-1.123%
Zero	0.000%	426	4.04%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Fairly Symmetrical with a Skewness factor of 0.25. Further, an Excess Kurtosis of 2.66 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -25.03%	7	0.32%	0.32%
-25.03% to -18.61%	30	1.38%	1.70%
-18.61% to -12.20%	85	3.90%	5.59%
-12.20% to -5.79%	279	12.79%	18.39%
-5.79% to 0.63%	716	32.83%	51.22%
0.63% to 7.04%	648	29.71%	80.93%
7.04% to 13.46%	277	12.70%	93.63%
13.46% to 19.87%	103	4.72%	98.35%
19.87% to 26.28%	22	1.01%	99.36%
Greater than 26.28%	14	0.64%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-7.92%	9.18%	74.97%	68.27%
±2σ	-16.48%	17.73%	94.86%	95.45%
±3σ	-25.03%	26.28%	99.04%	99.73%

Descriptive Statistics

Mean	0.627%
Standard Error	0.183%
Median	0.289%
Mode	0.000%
Standard Deviation	8.552%
Sample Variance	73.143%
Kurtosis	2.66
Skewness	0.25
Range	92.153%
Minimum	-38.961%
Maximum	53.192%
Count	2181

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.840%	1108	50.80%	3.475%
Negative	-5.990%	1037	47.55%	-2.848%
Zero	0.000%	36	1.65%	0.000%

Average True Range Percentage (ATRP)

Weeks	Horizon	Average Weekly True Range %
4	1 Month	13.84%
12	1 Quarter	14.03%
52	1 Year	13.01%
156	3 Years	10.69%
260	5 Years	10.01%
520	10 Years	9.67%
1,040	20 Years	10.29%
2,600	50 Years	11.98%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 2.46. Further, an Excess Kurtosis of 10.55 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -11.13%	0	0.00%	0.00%
-11.13% to -5.15%	0	0.00%	0.00%
-5.15% to 0.83%	0	0.00%	0.00%
0.83% to 6.81%	414	18.97%	18.97%
6.81% to 12.79%	925	42.39%	61.37%
12.79% to 18.77%	515	23.60%	84.97%
18.77% to 24.75%	169	7.75%	92.71%
24.75% to 30.74%	81	3.71%	96.43%
30.74% to 36.72%	38	1.74%	98.17%
Greater than 36.72%	40	1.83%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	4.82%	20.77%	82.95%	68.27%
±2σ	-3.15%	28.74%	95.51%	95.45%
±3σ	-11.13%	36.72%	98.17%	99.73%

Descriptive Statistics

Mean	12.794%
Standard Error	0.171%
Median	10.786%
Mode	12.500%
Standard Deviation	7.974%
Sample Variance	63.584%
Kurtosis	10.55
Skewness	2.46
Range	79.760%
Minimum	0.885%
Maximum	80.645%
Count	2182

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	12.794%	2182	100.00%	12.794%
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 1.00. Further, an Excess Kurtosis of 5.16 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -25.45%	7	0.32%	0.32%
-25.45% to -19.03%	13	0.60%	0.92%
-19.03% to -12.60%	87	3.99%	4.90%
-12.60% to -6.17%	312	14.30%	19.20%
-6.17% to 0.26%	745	34.14%	53.35%
0.26% to 6.69%	653	29.93%	83.27%
6.69% to 13.12%	233	10.68%	93.95%
13.12% to 19.55%	79	3.62%	97.57%
19.55% to 25.98%	26	1.19%	98.76%
Greater than 25.98%	27	1.24%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-8.31%	8.83%	75.85%	68.27%
±2σ	-16.88%	17.40%	95.10%	95.45%
±3σ	-25.45%	25.98%	98.44%	99.73%

Descriptive Statistics

Mean	0.261%
Standard Error	0.184%
Median	-0.098%
Mode	0.000%
Standard Deviation	8.572%
Sample Variance	73.480%
Kurtosis	5.16
Skewness	1.00
Range	98.552%
Minimum	-34.722%
Maximum	63.830%
Count	2182

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	6.703%	1044	47.85%	3.207%
Negative	-5.824%	1104	50.60%	-2.947%
Zero	0.000%	34	1.56%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Right Skewed (Positive Asymmetry) with a Skewness factor of 0.61. Further, an Excess Kurtosis of 2.61 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -49.19%	2	0.40%	0.40%
-49.19% to -36.28%	3	0.60%	1.00%
-36.28% to -23.37%	21	4.19%	5.19%
-23.37% to -10.45%	79	15.77%	20.96%
-10.45% to 2.46%	157	31.34%	52.30%
2.46% to 15.37%	145	28.94%	81.24%
15.37% to 28.29%	62	12.38%	93.61%
28.29% to 41.20%	24	4.79%	98.40%
41.20% to 54.11%	3	0.60%	99.00%
Greater than 54.11%	5	1.00%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-14.76%	19.68%	72.26%	68.27%
±2σ	-31.98%	36.90%	95.81%	95.45%
±3σ	-49.19%	54.11%	98.60%	99.73%

Descriptive Statistics

Mean	2.460%
Standard Error	0.769%
Median	1.202%
Mode	0.000%
Standard Deviation	17.218%
Sample Variance	296.444%
Kurtosis	2.61
Skewness	0.61
Range	148.785%
Minimum	-51.563%
Maximum	97.222%
Count	501

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	14.541%	266	53.09%	7.720%
Negative	-11.460%	230	45.91%	-5.261%
Zero	0.000%	5	1.00%	0.000%

Average True Range Percentage (ATRP)

Months	Horizon	Average Monthly True Range %
3	1 Quarter	35.00%
12	1 Year	32.83%
36	3 Years	24.67%
60	5 Years	22.11%
120	10 Years	21.31%
240	20 Years	22.03%
600	50 Years	25.77%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 4.08. Further, an Excess Kurtosis of 29.02 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -30.25%	0	0.00%	0.00%
-30.25% to -15.05%	0	0.00%	0.00%
-15.05% to 0.15%	0	0.00%	0.00%
0.15% to 15.36%	76	15.14%	15.14%
15.36% to 30.56%	228	45.42%	60.56%
30.56% to 45.76%	133	26.49%	87.05%
45.76% to 60.97%	38	7.57%	94.62%
60.97% to 76.17%	16	3.19%	97.81%
76.17% to 91.37%	4	0.80%	98.61%
Greater than 91.37%	7	1.39%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	10.29%	50.83%	88.84%	68.27%
±2σ	-9.98%	71.10%	96.61%	95.45%
±3σ	-30.25%	91.37%	98.61%	99.73%

Descriptive Statistics

Mean	30.559%
Standard Error	0.905%
Median	25.494%
Mode	33.333%
Standard Deviation	20.271%
Sample Variance	410.896%
Kurtosis	29.02
Skewness	4.08
Range	217.097%
Minimum	8.060%
Maximum	225.157%
Count	502

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	30.559%	502	100.00%	30.559%
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 1.32. Further, an Excess Kurtosis of 5.01 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -53.10%	0	0.00%	0.00%
-53.10% to -39.65%	3	0.60%	0.60%
-39.65% to -26.21%	12	2.39%	2.99%
-26.21% to -12.77%	85	16.93%	19.92%
-12.77% to 0.68%	174	34.66%	54.58%
0.68% to 14.12%	139	27.69%	82.27%
14.12% to 27.57%	55	10.96%	93.23%
27.57% to 41.01%	24	4.78%	98.01%
41.01% to 54.45%	3	0.60%	98.61%
Greater than 54.45%	7	1.39%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-17.25%	18.60%	75.30%	68.27%
±2σ	-35.17%	36.53%	95.82%	95.45%
±3σ	-53.10%	54.45%	98.61%	99.73%

Descriptive Statistics

Mean	0.679%
Standard Error	0.800%
Median	-1.213%
Mode	0.000%
Standard Deviation	17.925%
Sample Variance	321.308%
Kurtosis	5.01
Skewness	1.32
Range	155.748%
Minimum	-49.296%
Maximum	106.452%
Count	502

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	14.748%	233	46.41%	6.845%
Negative	-11.726%	264	52.59%	-6.167%
Zero	0.000%	5	1.00%	0.000%

Close-to-Close Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.13. Further, an Excess Kurtosis of 2.74 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -95.00%	0	0.00%	0.00%
-95.00% to -69.17%	0	0.00%	0.00%
-69.17% to -43.34%	10	5.99%	5.99%
-43.34% to -17.51%	20	11.98%	17.96%
-17.51% to 8.31%	64	38.32%	56.29%
8.31% to 34.14%	46	27.54%	83.83%
34.14% to 59.97%	16	9.58%	93.41%
59.97% to 85.80%	5	2.99%	96.41%
85.80% to 111.62%	4	2.40%	98.80%
Greater than 111.62%	2	1.20%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-26.12%	42.75%	76.65%	68.27%
±2σ	-60.56%	77.19%	95.21%	95.45%
±3σ	-95.00%	111.62%	98.80%	99.73%

Descriptive Statistics

Mean	8.314%
Standard Error	2.665%
Median	5.850%
Mode	-57.362%
Standard Deviation	34.437%
Sample Variance	1185.912%
Kurtosis	2.74
Skewness	1.13
Range	218.473%
Minimum	-57.362%
Maximum	161.111%
Count	167

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	29.674%	94	56.29%	16.703%
Negative	-19.191%	73	43.71%	-8.389%
Zero	0.000%	0	0.00%	0.000%

Average True Range Percentage (ATRP)

Quarters	Horizon	Average Quarterly True Range %
4	1 Year	82.23%
12	3 Years	51.97%
20	5 Years	42.66%
40	10 Years	40.62%
80	20 Years	39.77%
200	50 Years	47.32%

High-to-Low Returns

Gram-Charlier Analysis: Data reveals Highly Right Skewed (Extreme Positive Tail Risk) with a Skewness factor of 1.66. Further, an Excess Kurtosis of 3.43 proves the distribution possesses Extreme Fat Tails (Frequent Outliers, Leptokurtic).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -56.58%	0	0.00%	0.00%
-56.58% to -26.67%	0	0.00%	0.00%
-26.67% to 3.25%	0	0.00%	0.00%
3.25% to 33.16%	42	25.00%	25.00%
33.16% to 63.08%	61	36.31%	61.31%
63.08% to 93.00%	35	20.83%	82.14%
93.00% to 122.91%	12	7.14%	89.29%
122.91% to 152.83%	13	7.74%	97.02%
152.83% to 182.74%	2	1.19%	98.21%
Greater than 182.74%	3	1.79%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	23.19%	102.97%	81.55%	68.27%
±2σ	-16.70%	142.86%	95.83%	95.45%
±3σ	-56.58%	182.74%	98.21%	99.73%

Descriptive Statistics

Mean	63.080%
Standard Error	3.077%
Median	51.560%
Mode	16.966%
Standard Deviation	39.888%
Sample Variance	1591.065%
Kurtosis	3.43
Skewness	1.66
Range	216.739%
Minimum	16.966%
Maximum	233.705%
Count	168

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	63.080%	168	100.00%	63.080%
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 1.39. Further, an Excess Kurtosis of 2.63 proves the distribution possesses Fat Tails (Higher Outlier Risk).

Bin Distribution Over Raw Range

Bin / Range	Frequency	Prob	Cum. Prob
Less than -100.79%	0	0.00%	0.00%
-100.79% to -75.09%	0	0.00%	0.00%
-75.09% to -49.40%	4	2.38%	2.38%
-49.40% to -23.71%	29	17.26%	19.64%
-23.71% to 1.99%	67	39.88%	59.52%
1.99% to 27.68%	42	25.00%	84.52%
27.68% to 53.37%	12	7.14%	91.67%
53.37% to 79.06%	5	2.98%	94.64%
79.06% to 104.76%	5	2.98%	97.62%
Greater than 104.76%	4	2.38%	100.00%

Standard Deviation Interval Analysis

SD	Lower Bnd	Upper Bnd	Actual %	Normal %
±1σ	-32.27%	36.24%	77.38%	68.27%
±2σ	-66.53%	70.50%	94.05%	95.45%
±3σ	-100.79%	104.76%	97.62%	99.73%

Descriptive Statistics

Mean	1.985%
Standard Error	2.643%
Median	-5.409%
Mode	-61.702%
Standard Deviation	34.257%
Sample Variance	1173.538%
Kurtosis	2.63
Skewness	1.39
Range	196.234%
Minimum	-61.702%
Maximum	134.532%
Count	168

Frequency Breakdown

Category	Avg Return	Count	Probability	Freq Adj Return
Positive	29.691%	74	44.05%	13.078%
Negative	-19.826%	94	55.95%	-11.093%
Zero	0.000%	0	0.00%	0.000%

MU Deep Analytical Report