Answer:
A) The expected return for the market is 13.5 and stock is 11.6.
B) The standard deviation of the market is 3.85 and stock is 6.22.
Explanation:
![\\B. \text{The formula for variance.}\\\sigma ^2 = Var(X) \\= \sum x^2 P(x)- \mu^2 \\Standard \ deviation, \sigma = \sqrt{\sigma ^2} \\\text{Vraince from market.} \\\sigma _m ^2 = \left [ (15)^2 (0.3) + (9)^2 (0.4) + (18)^2 (0.3) \right ] - (13.5)^2 \\= 167.1 - 182.25 \\= 14.85 \\](https://tex.z-dn.net/?f=%5C%5CB.%20%5Ctext%7BThe%20formula%20for%20variance.%7D%5C%5C%5Csigma%20%5E2%20%3D%20Var%28X%29%20%5C%5C%3D%20%5Csum%20x%5E2%20P%28x%29-%20%5Cmu%5E2%20%5C%5CStandard%20%5C%20deviation%2C%20%5Csigma%20%3D%20%5Csqrt%7B%5Csigma%20%5E2%7D%20%5C%5C%5Ctext%7BVraince%20from%20market.%7D%20%5C%5C%5Csigma%20_m%20%5E2%20%3D%20%5Cleft%20%5B%20%2815%29%5E2%20%280.3%29%20%2B%20%289%29%5E2%20%280.4%29%20%2B%20%2818%29%5E2%20%280.3%29%20%5Cright%20%5D%20-%20%2813.5%29%5E2%20%5C%5C%3D%20167.1%20-%20182.25%20%5C%5C%3D%2014.85%20%5C%5C)
![Standard \ deviation = \sqrt{14.85} \\= 3.85357 \\\text{Variance of stock J.} \\\sigma _j ^2 = \left [ (20)^2 (0.3) + (5)^2 (0.4) + (12)^2 (0.3) \right ] - (11.6)^2 \\= 173.2 - 134.56 \\= 38.64 \\Standard \ deviation \ of \ stock \ J = \sqrt{38.64} \\= 6.216108 \\= 6.22](https://tex.z-dn.net/?f=Standard%20%5C%20deviation%20%3D%20%5Csqrt%7B14.85%7D%20%5C%5C%3D%203.85357%20%5C%5C%5Ctext%7BVariance%20of%20stock%20J.%7D%20%5C%5C%5Csigma%20_j%20%5E2%20%3D%20%5Cleft%20%5B%20%2820%29%5E2%20%280.3%29%20%2B%20%285%29%5E2%20%280.4%29%20%2B%20%2812%29%5E2%20%280.3%29%20%5Cright%20%5D%20-%20%2811.6%29%5E2%20%5C%5C%3D%20173.2%20-%20134.56%20%5C%5C%3D%2038.64%20%5C%5CStandard%20%5C%20deviation%20%5C%20of%20%5C%20stock%20%5C%20J%20%3D%20%5Csqrt%7B38.64%7D%20%5C%5C%3D%206.216108%20%5C%5C%3D%206.22)
Answer:
$ 1,781.53
Explanation:
The future value of the 5-year CD can be determined by using the future value formula stated below:
FV=PV*(1+r)^n
FV is the future value which is expected future amount after 5 years
PV is the initial amount used in purchasing the CD i.e $1500
r is the rate of return on the CD on an annual basis which is 3.5%
n is the number of years the investment would last which is 5 years
FV=$1500*(1+3.5%)^5
FV=$1500*1.187686306
FV=$ 1,781.53
Answer:
The optimal order quantity is 6
Explanation:
Please see attachment
Answer:
d. ongoing set of competitive actions and competitive responses between competitors as they maneuver for advantageous market position.
Explanation:
Competitive dynamics refers to the ongoing set of competitive actions and competitive responses between competitors as they maneuver for advantageous market position.
This ultimately implies that, competitive dynamics comprises of various competitive actions or activities that a particular company or business firm engages so as to have a competitive advantage over its competitors in the same industry or market. Thus, it avails a business the opportunity to have a better market-share over rival firms.
Answer:
20m/s due east
Explanation:
Given parameters:
Displacement = 180m due east
Time taken = 9s
Unknown:
Average velocity of the truck = ?
Solution:
The average velocity is the displacement divided by the time taken;
Average velocity = 
Insert the parameters and solve;
Average velocity = 
= 20m/s due east
