A. Calculate the mean and standard deviation of the following securities returns
ID: 3258341 • Letter: A
Question
A. Calculate the mean and standard deviation of the following securities returns: Year Computroids Inc. Blazers Inc. 1) 10% vs 5%) 2) 5% vs 6% 3) 3% vs 7% 4) 12% vs 8% 5) 10% vs 9% B. Assuming these observations are drawn from a normally distributed probability space, we know that about 68% of values drawn from a normal distribution are within one standard deviation away from the mean or expected return; about 95% of the values are within two standard deviations; and about 99.7% lie within three standard deviations. Using your calculations from part A, calculate the 68%, 95%, and 99% confidence intervals for the two stocks. To calculate the 68%, you would calculate the top of the confidence interval range by adding one standard deviation to the expected return, and calculate the bottom of the confidence interval by subtracting one standard deviation from the expected return. For 95%, use two standard deviations, and for 99%, use three. Your answer should show three ranges from the bottom of the confidence interval to the top of the confidence interval. C. For each security, would a return of 14% fall into the 68% confidence interval range? If not, what confidence interval range would it fall into, or would it be outside all three confidence intervals? [This is the same as asking whether a return of 14% has less than a 68% probability of occuring by chance for that security. If its not inside the 68% confidence interval, its unlikely to occur, since it will only occur by chance 32% of the time. Of course, the 99% confidence interval is much more likely to include the observed return, simply by chance. Only 1% of the time will it fall outside the 99% CI. Pretty rare.]
Explanation / Answer
a)
company C
68% confidence interval is [ 8-3.81 ,8+3.81 ] = [4.19 , 11.81]
95% confidence interval is [8 - 2*3.81 , 8+2*3.81] = [0.38,15.62]
99% confidence interval is [8 -3*3.81 , 8+3*3.81] = [-3.43 , 19.43 ]
company B
68% confidence interval is [ 7-1.58 ,7+1.58 ] = [5.43 , 8.58]
95% confidence interval is [7-2*1.58 ,7+2*1.58 ] = [3.84,10.16]
99% confidence interval is [7-3*1.58 ,7+3*1.58 ] = [2.26 , 11.74 ]
c)
no, it doesnot fall into 68% percent range for the both stocks
for company C it will fall into 95% confidence interval
for company C it will into outside 99% confidence interval
company C company B 10 5 5 6 3 7 12 8 10 9 mean 8 7 standard deviation 3.807886553 1.58113883Related Questions
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