Answer:
$23,500
Explanation:
The average accounting rate of return is the rate of return on the investment in the project considering the average annual net income and the average amount of investment made in the project.
In other words, it is the average annual net income expressed as a percentage of the average investment as shown below
average accounting rate of return =average annual net income / average investment.
average investment=(initial capital outlay+book value of the project at end of useful life)/2
initial capital outlay=$47,000
book value of the project at end of useful life=$0
average investment=($47,000+$0)/2
average investment=$23,500
Answer:
Calculate the true APR:
It is given that the compounding period is 12 as the payment is done monthly. The total loan amount is $1,000 with $100 monthly installments at an interest rate of 20%. Annuity is a stream of cash flows that continues for a given number of years. The interest rate is calculated by following method. Use the following formula to calculate the present value:
![Present value of annuity = c[\frac{1}{r}-\frac{1}{r(1+r)^{t} }]](https://tex.z-dn.net/?f=Present%20value%20of%20annuity%20%3D%20c%5B%5Cfrac%7B1%7D%7Br%7D-%5Cfrac%7B1%7D%7Br%281%2Br%29%5E%7Bt%7D%20%7D%5D)
Where,
c —) Monthly payment
r —> Interest rate
t —> Compounding period
Now,
![1000 = 100[\frac{1}{r}-\frac{1}{r(1+r)^{12} }]](https://tex.z-dn.net/?f=1000%20%3D%20100%5B%5Cfrac%7B1%7D%7Br%7D-%5Cfrac%7B1%7D%7Br%281%2Br%29%5E%7B12%7D%20%7D%5D)
We cannot determine the exact value of interest of annuity. Using the trial and error method we can determine the interest rate. We can use the TVM (time value of money) keys in the financial calculator to calculate the value of 'r' as below:
Enter
N = 12
PV = -1000
PMT =100
FV = 0
Now press i and we should find that the monthly rate for this annuity(r) is 2.923% per month.
Effective interest rate is the annualized interest rate using compound interest. Multiply the monthly rate by 12 to obtain APR as below:
APR = Monthly rate x 12
Substitute the values in the formula:
APR = 2.923% x 12
APR = 35.076%
Hence, the APR is 35.076%.
Determine the effective annual rate (EAR):
It is the net annual return received. The monthly rate should be used to calculate the effective annual rate with the help of the formula below:
Effective annual rate = 0.41302 or 41.302 %
Hence, the effective annual rate is 41.302%.
Finally we may conclude that the true rate would be 20%, if $1,000 was borrowed today and $1,200 was paid back one year from today. It should be noted that the true rate must be greater than 20% because the twelve annual payment of $100 should be made before the end of the year.
Management by objectives includes developing and issuing assignments, plans, procedures and protocols to accomplish tasks.
<u>Explanation:</u>
NIMS is a comprehensive national approach to the incident management that is applicable at all the jurisdictional levels and across all the functional disciplines. The major purpose of NIMS is to improve the coordination of the public and the private enterprises in a variety of incident management activities.
There are certain management characteristics of NIMS. Some of them are common terminology, modular organisation, management by objectives, incident action planning and many more.
Answer:
the dividends in arrears = $2,800,000
the total dividend that must be paid this year = $5,600,000
Explanation:
<u>the dividends in arrears</u>
Last Year = 200,000 shares × $200 × 7%
= $2,800,000
<u>total dividend that must be paid this year</u>
<em>Note : The Preference Shares are cumulative meaning that arrears in dividends are accumulated to be paid at a future date</em>
Last Year`s Dividend $2,800,000
<em>Add </em>This Year`s Dividend $2,800,000
Total $5,600,000
Answer:
We need the slope of each category.
Explanation:
Having the amount of each category is not enough to find the responsive of each one of them to a change in their prices, we need a measure called elasticity, this indicator measures the responsive of a product to a change in its price.
