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:
The expected price of the stock is $122.03
Explanation:
To calculate the expected price of the stock at the end of the year or at Year 1, we first need to determine the required rate of return on the stock. We will use the CAPM equation to calculate the required rate of return.
The required rate of return is calculated as,
r = rRF + Beta * (rM - rRF)
Where,
- rRF is the risk free rate
- rM is the return on market
r = 0.05 + 1 * (0.14 - 0.05)
r = 0.14
We already have the price of the stock today, the D1 and the required rate of return. Using the constant dividend growth model of DDM, we calculate the growth rate in dividends to be,
P0 = D1 / (r - g)
115 = 9 / (0.14 - g)
115 * (0.14 - g) = 9
16.1 - 115g = 9
16.1 - 9 = 115g
7.1 / 115 = g
g = 0.0617 or 6.17%
Using the same formula and replacing D1 with D2, we can calculate the price of the stock at the end of the year or at start of Year 1.
P1 = 9 * (1+0.0617) / (0.14 - 0.0617)
P1 = $122.03
Political, economic, social and technological
Answer:
Buy the stock because it is underpriced and investor will make money in the near future.
Explanation:
Required rate of return is defined as the estimated return am investor wants to gain for taking on a certain amount of risk when investing in securities.
The higher the risk the higher the required rate of return.
If the expected rate of return exceeds the required rate of return then the investor will consider the share underpriced and experiencing supernormal growth.
For example if a stock has required rate of return as 10% and expected rate of return as 15%, it means that the stock will perform above its peer stock in the market and the price will rise in the future.
