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%
There are different kinds of market. The option that is not a reason perfect competition is a useful simplification, despite the diversity of market types we find in the world is that;
- There are many buyers and many sellers in all types of markets.
<h3>What leads to perfect competition?</h3>
Firms are known to be in perfect competition due to;
- When many firms produce identical products.
- When there are plenty buyers available to buy the product, and and also plenty sellers are available to sell the product, etc.
Firms are said to be in perfect competition when a lot of firms produce the same type of products and also these firms can do business in the market without any kind of restrictions.
Learn more about perfect competition from
brainly.com/question/1051446
Answer:
n = ㏒ P ÷ ㏒ (1.08)
Explanation:
Compound interest rate
A = P × 
where
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
A = amount of money accumulated after n years, including interest.
n = number of years
Since we want the principle amount to double i.e., A = 2P
put this in above equation
2P = P ×
divide both sides by P, we get
P =
put r = 0.08
P = 
P = 
Taking log on both sides
㏒ P =㏒
㏒ P = n ㏒ (1.08)
n = ㏒ P ÷ ㏒ (1.08)
Answer:
the break-even quantity is 18 students
Explanation:
Break Even point is when a firm neither makes a profit nor a loss
Break Even = Fixed Costs/Contribution per Unit
= $4800/($300-$30)
= 17.77777778
= 18 students
Please note that, the cost for the conference room, instructor compensation, lab assistants, and promotion is $4800 represents a fixed cost as this does not vary with the number of students taking the training seminars.
Answer:
d. It determines the critical path for the completion of a series of interrelated activities.
Explanation:
The Critical Path method is a method to lay out the different steps or interrelated activities of a project, in a graphical manner, that shows the interrelations, the time each activity takes to complete, the different alternatives or paths for project completion, and the total completion time for the project.
It also shows the amount of time a delay in one of the activities would delay the project as a whole.
