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%
Accrued Net Income will be calculated as below:
Sales $72800
Less Expenses $20400
Cash Income $52400
Less: Depreciation $4900
Add: Accounts Receivable Inc $4500
Less: Reduction in Prepaid Exp $1900
Add: Reduction in Acc Liab $1700
Accrued Income $51800
Depreciation will be reduced as its an expense and all expenses will be reduced.
Increase in Accounts Recievables indicate there have been sales which have not been paid for yet, thus sales will increase and this needs to be added
Reduction in Prepaid Expenses refer to expenses being paid off earlier but now need to be recognised, thus these need to be added to expenses
Reduction in accrued liabilitites indicate that expenses of previous period have been paid off now thus those need to be reduced from cash expenses.
Answer:
True
Explanation:
Microeconomics is a branch of economics that studies the decisions individuals and firms make in response to changes in economic factors. These factors include price, resources etc. it studies how firms and individuals allocate and make decisions about resources
The question is looking at the effect of price on an industry. This is what microeconomics study
Macroeconomics is a branch of economics that studies the economy as a whole. Macroeconomics studies economic aggregates such as inflation, unemployment, GDP and growth rate.
Answer:
$227,500
Explanation:
The computation of the total amount of cash paid is shown below:
Cash paid for insurance premium = Prepaid Insurance at end of the year + Prepaid Insurance recognized - Prepaid Insurance at the beginning of the year
= $61,250 + $218,750 - $52,500
= $227,500
We simply applied the above formula so that the correct amount of cash paid could come with respect to the insurance premium
