Answer:
a. 16.50%
Explanation:
Find the beta as of last year using CAPM;
CAPM ; r = risk free + beta(Market risk premium)
0.125 = 0.03 + beta(0.0475)
Subtract 0.03 from both sides;
0.125-0.03 = 0.0475beta
0.095 = 0.0475beta
Divide both sides by 0.0475;
0.095/0.0475 = beta
beta = 2
Next, use CAPM again to find the new required return with a market risk premium is 4.75%+ 2% = 6.75%
r = 0.03 + 2(0.0675)
r = 0.03 + 0.135
r = 0.165 or 16.5%
Therefore, the new required return is 16.5%
Answer:
max profit at MR = MC is 1,562.5 dollars
Explanation:
we need to solve for the point at which MR = MC
First we calculate marginal revenue, the revenue generate from an additional units which, is the slope of the revenue function
p = 70 - 0.1Q
total revenue = (70 - 0.1Q)Q = -0.1Q^2 + 70Q
dR/dq= -0.2q + 70
Then we do the same for marginal cost, the cost to produce another unit:
total cost: 1,500 + 35 Q
dC/dq = 35
Now we equalize and solve:
-0.2q + 70 = 35
70 - 35=0.2q
35/0.2 = q = 175
p = 70 - 0.1 (175) = 70 - 17.5 = 52.5
52.5Q - 1,500 - 35Q = profit
52.5 x 175 - 1500 - 35 x 175 = profit
profit = 1562.5
if we calcualte for one up or down:
Q = 174 then profit = 1562.4
Q = 176 then profit = 1562.4
This profit is lower than our maximize point, so we agree this is the max point.
Answer:
Production Possibilities Frontier
Explanation:
In a theoretical economy, the production possibilities frontier, is the curve that shows the combination of goods produced (barley and cars) by an economy given a limited resource. Furthermore the more goods (barley) is produced, the less cars are produced. Thus, for every additional barley's produced, there's an opportunity cost of cars.
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:
matrix organizational structure
Explanation:
When a company works under a matrix organizational structure, specialists from different parts of the organization are brought together on a temporary basis to work on specific projects. It is common for employees to report to both a functional manager (traditional manager) and a product manager (project manager).
