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%
Did you ever find the answer?
Expected return of the stock is greater than 12%.
Using formula, Risk free rate + beta (market risk rate - risk free rate)\
= 2% + 2.0 (7%-2%)
= 13.6 - 0.4* risk premium
Risk premium of a stock is greater than 12%.
A stock's total return takes into account both capital gains and losses as well as dividend income, as opposed to a stock's nominal return, which only displays its price movement. In addition to considering the actual rate of return, investors should consider their ability to withstand the risk involved with a given investment. An investment's return on investment (ROI) provides a general indication of its profitability. The return on investment (ROI) is calculated by subtracting the investment's initial cost from its final value, dividing the result by the cost of the investment, and finally multiplying the result by 100.
Note that the full question is:
If the market risk premium is 7%, the risk-free rate is 2% and the beta of a stock is 2.0, what is the expected return of the stock?
A. less than 12%.
B. 12%.
C. greater than 12%.
D. cannot be determined.
To learn more about returns: brainly.com/question/24301559
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Answer:
True
Explanation:
A reference group is that group in which the comparison is made between the individual person or the group as the case may be.
In this group, the evaluation of individual taken place with respect to nature, behaviors, and characteristics so that they can know about them i.e performance, aims, etc
Thus, it is a mix of comparison, evaluation, and personal attributes
