Answer:
The correct answer is 777.169.56.
Explanation:
According to the scenario, the given data are as follows:
Payment per year (PMT) = $3,000
Time (N) = 40 years
Rate of interest (R)= 8%
So, the future value of the following can be calculated by using the following formula:
Future value = PMT × 
Now, put the value of the following in the formula. then,
= 3,000 × 
= 3,000 × 259.0565
= 777,169.56
Hence, the value in the account after 40 years will be 777,169.56.
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:
-$30,250 favorable
Explanation:
labor efficiency variance = (standard quantity - actual quantity) x standard labor cost
- actual quantity = 7,700 hours
- standard quantity = 9.9 hours x 1,000 units = 9,900
- standard labor cost = $13.70
labor efficiency variance = (7,700 - 9,900) x $13.70 = -$30,250 favorable variance
the variance is favorable, because less hours were actually used than forecasted
Answer:
a) cash flow from operating activities
net income $650,000
adjustments:
depreciation expense $96,000
accounts payable $38,000
accounts receivable -$22,800
inventory -$57,000
prepaid insurance -$8,400
net cash flow from operating activities $695,800
b) cash flow from investing activities
Sale of long term investments $57,500
Purchase of long term assets -$610,000
Long term assets exchanged for common stocks $113,000
net cash flow from investing activities -$439,500
