The question is incomplete. Here is the complete question:
The following annual returns for Stock E are projected over the next year for three possible states of the economy. What is the stock’s expected return and standard deviation of returns? E(R) = 8.5% ; σ = 22.70%; mean = $7.50; standard deviation = $2.50
State Prob E(R)
Boom 10% 40%
Normal 60% 20%
Recession
30% - 25%
Answer:
The expected return of the stock E(R) is 8.5%.
The standard deviation of the returns is 22.7%
Explanation:
<u>Expected return</u>
The expected return of the stock can be calculated by multiplying the stock's expected return E(R) in each state of economy by the probability of that state.
The expected return E(R) = (0.4 * 0.1) + (0.2 * 0.6) + (-0.25 * 0.3)
The expected return E(R) = 0.04 + 0.12 -0.075 = 0.085 or 8.5%
<u>Standard Deviation of returns</u>
The standard deviation is a measure of total risk. It measures the volatility of the stock's expected return. The standard deviation (SD) of a stock's return can be calculated by using the following formula:
SD = √(rA - E(R))² * (pA) + (rB - E(R))² * (pB) + ... + (rN - E(R))² * (pN)
Where,
- rA, rB to rN is the return under event A, B to N.
- pA, pB to pN is the probability of these events to occur
- E(R) is the expected return of the stock
Here, the events are the state of economy.
So, SD = √(0.4 - 0.085)² * (0.1) + (0.2 - 0.085)² * (0.6) + (-0.25 - 0.085)² * (0.3)
SD = 0.22699 or 22.699% rounded off to 22.70%
Answer:
Following are the four ways for improving the productivity of the labour is given below
Explanation:
- If we give the proper resource assignment to each worker at the proper time we will increase the productivity of the labor .
- Increasing the skills by guiding the labor to the latest technology so they know the latest or the current technology they will increase the productivity .
- If we enhancing the physical capital it means if we dependent on the machinery they will increase the productivity .
- Giving the incentive to labor at the particular interval of time we will increase the productivity.
Answer:
Intrinsic value: $ 45.19290274
The stock is undervalued as is selling for less.
Explanation:
We use the gordon model to solve for the intrinsic value of the share.
we must solve for the grow rate like it was an interest rate:
<u>grow rate: </u>
![2.00 \times (1+g)^{10} = 3.16\\\sqrt[10]{\frac{3.16}{2.00}} -1 = g](https://tex.z-dn.net/?f=2.00%20%5Ctimes%20%281%2Bg%29%5E%7B10%7D%20%3D%203.16%5C%5C%5Csqrt%5B10%5D%7B%5Cfrac%7B3.16%7D%7B2.00%7D%7D%20-1%20%3D%20g)
g = 0.046804808
<u>dividends one year from now:</u>
3.16 x (1 + 0.046804808) = 3.307903193
Now we calculate the instrinsic value:
Value: $ 45.19290274
The stock is undervalued as is selling for less.
