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%
Lisa changes her filing status on last years tax return, and her standard deduction went up. Which of these could have been the change she made? "Single" to "head of household". Due to Lisa becoming head of household, she is able to claim her family as a deduction.
Answer: This scenario demonstrates the PERISHABILITY quality of services.
Explanation: A Service Organisation can be defined as an organisation that practice the provision of such a service as economic activity.
Some of the qualities of Services include; variability; perishability; heterogeneity etc.
The perishability quality of service refers to the fact that services cannot be stored, warehoused, or inventoried and, therefore, are perishable.
Answer: Limited liabilities and partnerships
Explanation:
Limited liabilities mean that the partners within the firm are only liable to pay off their debts with the amount they had invested as capital in the company. Partnership is an agreement between certain number of partners to share the profit and loss of the company. In this case since there is a 50/50 allocation of profits and there are only 2 partners therefore, this is a limited liability partnership.
Answer:
c. 1.14
Explanation:
Year Cash Flow PV Factor 10% PV of Cash flows
($) ($)
Year 1 180,000 0.909 163,620
Year 2 120,000 0.826 99,120
Year 3 100,000 0.751 75,100
Year 4 90,000 0.683 61,470
Year 5 90,000 0.621 55,890
Total = 455,200
Initial cash outflow = $400,000
Cash inflow = $455,200
So, we can calculate the present value index by using following formula,
Present value index = Cash inflow ÷ Cash outflow
= $455,200 ÷ $400,000
= 1.14