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:
Investment period = 24 years
Explanation:
The total amount that an investment made today would become if invested at a particular rate for certain number of years is known as the future value.
The $1,200,000 is the desired future value, the $296, 375 is the present value and the 6% is the interest rate.
FV = PV × (1+r)^n
1,200,000 = 296,375 × (1.06)^(n)
(1.06)^(n) = 1200000/96,375
(1.06)^(n) =4.048924504
find the log of both sides
n log 1.06= log 4.048924504
n= log 4.048924504/log 1.06
n = 24
It will take 24 years
Answer and Explanation:
The answer is attached below
Answer: more; lower
Explanation:
The yield to maturity is the annual rate of return for a bond which has been estimated as long as the bind is being held by the investor till it matures.
It should be noted that Bond prices are more sensitive to changes in yield when the bond is selling at a lower initial yield to maturity.
