Historical Price	MRK
10/19/2022	93.26
10/20/2022	92.94
10/21/2022	95.67
10/24/2022	97.37
10/25/2022	97.71
10/26/2022	98.41
10/27/2022	99.74
10/28/2022	100.77
10/31/2022	101.2
11/1/2022	99.76
11/2/2022	99.4
11/3/2022	98.75
11/4/2022	99.2
11/7/2022	100.07
11/8/2022	101.5
11/9/2022	101.59
11/10/2022	101.89
11/11/2022	97.96
11/14/2022	100.35
11/15/2022	99.6
11/16/2022	99.93
11/17/2022	102.31
11/18/2022	104.23
11/21/2022	105.61
11/22/2022	106.9
11/23/2022	106.82
11/25/2022	107.5
11/28/2022	108.45
11/29/2022	108.84
11/30/2022	110.12

Find the daily log return for the stock

Find the stock volatility?

Assume the last price collected is S0, simulate the stock price in 30 days., u is the annual return (normally distributed on [0.01, 0.025] and E is a random variable (normally distributed with mean 0 and standard deviation1)

What us the mean price on day 30?

What is the probability S30 will be at least 10% higher than S0?

What is the probability S30 will be less that S0?

Find a 95% confidence interval for the mean price on day 30

Find the 75-th percentile for S30