Answer: The standard deviation of the stock is 3.23 percentage
Explanation:
First we shall calculate the epected weighted average return of the stock.
We shall multiply the probability of the scenario with its expected return and then take the sum of the expected returns of different scenarios,
E(x) = (0.2 x 14%) + (0.7 x 8%) + (0.1 x 2%)
E(x) = 8.6%
We shall use the follwing formula to calculate the Variance of the stock,
σ²(x) = ∑ P(
) × [ - E(r)]²
σ²(x) = (0.2) (0.14 - 0.086)² + (0.7) (0.08 - 0.086)² + (0.1) (0.02 - 0.086)²
σ²(x) = 0.001044
To find the standar deviation,
σ(x) = 
σ(x) = 0.0323109
in percentage it would be 3.23%
Answer:
Cp= 1.33
Explanation:
Giving the following information:
Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 1,800 hours and sigma = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively.
Cp= (upper specification - lower specification)/6*sigma
Cp= (2400 - 1600)/6*100= 1.33
Answer:
Explanation:
Assume the initial invest at the beginning is $100.
The investment at end of year 4 is:
100 x 1.16 x 1.11 x 1.1 x 1.1 = 155.80
a) CAGR over the 4 years = (155.8 / 100 ) ^ (1/4) = 11.72%
b) Average annual return over 4 years = (16% +11% + 10% +10%) /4 = 11.75%
c) Since the returns over the 4 year period are not much volatile, average annual return is a better measure.
If the investment's returns are independent and identically distributed, Average annual return will be the better measure because there is no correlation between returns over the years and thus there is no point to take into consideration the compounding effect by using CAGR.
Answer:
Detailed step wise solution is given below:
