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:
Discount on bonds issuance = $15750
Explanation:
A bond is issued at a discount when the issue price of the bond is less than the face value of the bond. This usually happens when the coupon rate paid by the bond is less than the market interest rate. To calculate the amount of discount on bonds issuance, we simply deduct the issue price from the face value of the bond. Thus,
Discount on Bonds = Face value - Issue price
As we know the face value of the bonds is $700000 and the issue price is $684250, we can calculate the discount on issuance to be,
Discount on bonds issuance = 700000 - 684250
Discount on bonds issuance = $15750
Answer:
D) The demand for cheap pizza will decrease because demand for cheap pizza is negative related to income.
As students finds high paying job, they are now able to buy more expensive pizza, which means that a number of customers for cheap pizza will be decreased
Answer:
D. Serve as the fiscal agent for the Federal government
Explanation:
The Federal Reserve System (FRS) is the central bank of the United States. FRS regulates the U.S. monetary and financial system.
The functions of Federal Reserve System includes;
1. conducting the nation's monetary policy
2. regulating banking institutions
3. monitoring and protecting the credit rights of consumers
4. maintaining the stability of the financial system
5. providing financial services to the U.S. government.
