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%
<h3>answer:</h3>
not a.
not b.
not c.
it's d.
<h3>explanation:</h3>
Lower tax rates enable firms to invest more – this leads to higher growth and therefore, higher tax revenues
Answer:
$1,300,000
Explanation:
Given:
Number of workstation = 60
Cost of each workstation = $100,000
Additional Cost = 20,000,000
Computation of total cost:
= Total work station cost + Additional cost
= ($100,000 x 60) + $20,000,000
= $6,000,000 + $20,000,000
= $26,000,000
Assume Depreciation rate = 5%
Deprecation = Total Cost x Depreciation rate
= $26,000,000 x 5%
= $1,300,000
Answer:
$173,205
Explanation:
According to the scenario, computation of the given data are as follows:
Given data:
Earning (X1) = $500,000
Chances of X1 (Y1) = 25%
Earning (X2) = $100,000
Chances of X2 (Y2) = 75%
Expected Profit (Z) = $200,000
Formula for solving the problem are as follows:
Standard deviation = [ (X1 - Z)^2 × Y1 + (X2 - Z)^2 × Y2 ]^1/2
By putting the value in the formula, we get
Standard deviation = [ ($500,000 - $200000)^2 × 0.25 + ($100,000 - $200,000)^2 × 0.75 ]^1/2
= [ $22,500,000,000 + $7,500,000,000 ]^1/2
= ($30,000,000,000)^1/2
= $173,205.08 or $173,205
Hence, $173,205 is the correct answer.
