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: to prevent improper use or causing an issue with the thing they have to get a license for
Answer:
The company paid $278,031
Explanation:
Giving the following information:
A company bought a parcel of land twenty years ago. The land is currently worth $575,000. The yearly appreciation rate has been 3.7%.
<u>To calculate the past value of the land, we need to use the following formula:</u>
PV= FV/(1+i)^n
PV= present value (20 years ago)
n= 20
FV= 575,000
i= 0.037
PV= 575,000 / (1.037^20)
PV= $278,031
Answer: c. fixed-position layout.
Explanation:
This is a system that addresses the layout requirements of stationary projects.
Here, project remains in one place and workers and equipment come to that one work area.
Examples are plane, ship, highway, a bridge, a house, and an operating table in a hospital, etc.
