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 level of saving = $450 billion - $400 billion= $50 billion
Marginal propensity to save = 1- marginal propensity to consume (MPC)=0.5
Expected consumption
MPC= change in Consumption/ change in income 200 billion * 0.5 = $100billion
Therefore consumption = 100 billion + 400 billion = $500 billion
Saving = $650 billion - $500 billion= $ 150 billion
Explanation:
Answer:
Answer A = $9,000
Answer B = $6,400
Answer C = $7,632
Answer D = $54,000
Answer E = $71,063
Explanation:
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Answer: 12%
Explanation:
Stated interest rate is used in the calculation of the annual interest payment.
Interest payment = Face value of bonds * Stated interest rate
Annual Interest payment = Semi annual interest payment * 2
= 12,000 * 2
= $24,000
24,000 = 200,000 * Stated interest
Stated interest = 24,000 / 200,000
= 0.12
= 12%
Answer:
A
Explanation:
The quantitative theory of money states that MV=PT.
M: money supply
V: velocity of circulation (number of times that a dollar changes of holder in a period)
P : price of a typical transaction
T: total number of transactions.
We can also write the equation as MV=PY, because the value of transactions is equal to the GDP (Y).
If M has a constant growth but there are fluctuations in V, then P, Y or both change.
