What kind of energy like solar panels and windmills.
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
D. 4,800 Espresso Machines and 0 Food Processors
The answer and procedures of the exercise are attached in a microsoft excel document.
Explanation
Please consider the data provided by the exercise. If you have any question please write me back. All the exercises are solved in a single sheet with the formulas indications.
The media mix is the combination of media used and the frequency of advertising in each medium.
