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:
The question is missing the below options:
$1,333.33
$1,401.49
$1,108.91
$1,282.16
$1,487.06
Monthly payment is $1,401.49 as shown below
Explanation:
In calculating the amount of each monthly payment, PMT formula in excel comes very handy.The formula is stated below:
PMT(rate,nper,pv,-fv)
The rate is the percentage of interest payable on the loan considering that repayment is made monthly, hence the rate in this case 9.2% divided by number of repayments in a year,12
rate=9.2%/12=0.007666667
nper is the number of times repayment would be made, which is calculated as five years multiplied by the number of repayments in a year i.e 5*12=60
pv is the actual amount borrowed , 80%*$84000=$67200
The fv future value is nil
PMT(0.007666667
,60,67200,0)
PMT=$1,401.49
Find attached as well.
When one group controls an industry or market by being the only provider, this is called MONOPOLY.
Mono - Greek monos means one or single
Poly - Greek polein means to sell.
Monopoly is a market where only one sells a certain good or service. In this type of market there is no competition thus the monopolist is not driven to improve his commodity because consumers have no other choice but to buy his product.
The four types of pricing methods.
