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 test statistic t of the sample is -0.804.
There is sufficient evidence to ascertain that the average number of years of work experience of MBA applicants is less than 3 years.
Explanation:
Null hypothesis: The average number of years of work experience of MBA applicants is 3 years.
Alternate hypothesis: The average number of yet of work experience of MBA applicants is less than 3 years.
Test statistic (t) = (sample mean - population mean) ÷ sd/√n
sample mean = 2.57
population mean = 3
sd = 3.67
n = 47
t = (2.57 - 3) ÷ 3.67/√47 = -0.43 ÷ 0.535 = -0.804
Assuming a 5% significance level
degree of freedom = n - 1 = 47 - 1 = 46
The critical value corresponding to 46 degrees of freedom and 5% significance level is 2.013.
Conclusion:
Reject the null hypothesis because the test statistic -0.804 is less than the critical value 2.013.
The years of work experience of MBA applicants is less than 3.
The correct answers are four and four (4,4).
Why? Since Nettie was able to produce 8 cupcakes and 4 hamburgers within an hour, which gives her 8 cupcakes and 4 hamburgers available for trading while Becky was able to produce 4 cupcakes and 8 hamburgers in an hour. When they traded each other for a certain food its value will be equal to the opposite food, like 1 hamburger is equivalent to 1 cupcake, Nettie consumed 4 hamburgers, while Becky consumed 4 cupcakes, which is why they both consumed 4 pieces of food each after their trade.
Answer: Deferred income which must be a liability accounts.
Explanation:
Revenue earned on a service is recognised when the service has been performed, it's probable that economic benefits of the services will be enjoyed by the client, the price of the services can be measured reasonably, cost Incurred on the performance of the services can be measured reasonably.
On the above scenario the services has not been perform, the cost of performance cannot be measured, these and more shows that Jaguar cannot recognize the sum as an income but rather as a deferred income(liabilities) which will later be transferred to income accounts as the necessary conditions for recognition as income are met.
