Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, workmen's compens
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Answer:
And we can find this probability using the normal standard distribution table or excel and we got:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the expected return, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution table or excel and we got:
Answer:
Share price : $ 56.23
Explanation:
CAPM
risk free = 0.05
market rate = 0.11
premium market = (market rate - risk free) 0.06
beta(non diversifiable risk) = 1.64
Ke 0.14840
Now, we solve for the present value of the future dividends:
year dividend* present value**
1 2.91 2.53
2 3.31 2.51
3 3.78 2.49
4 4.31 2.48
4 80.38 46.22
TOTAL 56.23
*Dividends will be calculate as the previous year dividends tiems the grow rate
during the first four year is 14%
then, we calcualte the present value of all the future dividends growing at 9% using the dividend grow model:
(4.31 x 1.09) / (0.1484 - 0.09) = 80.38
Then we discount eahc using the present value of a lump sum:
We discount using the CAPM COst of Capital of 14.84%
last we add them all to get the share price: $ 56.23