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.
$4,70,000 is the cash flow from financing activities.
<h3>What are financial activities?</h3>
- Transactions involving owner equity, long-term liabilities, and adjustments to short-term loans are referred to as financing operations.
- The transfer of cash and cash equivalents between the organization and its financial sources is considered a financing activity.
- Let's examine financial operations in further detail.
<h3>What are the 3 financing activities?</h3>
- Cash transactions involving owners' equity and noncurrent liabilities are considered financing activities.
- The principal amount of long-term debt, stock sales and repurchases, and dividend payments are examples of noncurrent liabilities and owners' equity items.
<h3>Why is financing activities important?</h3>
- Both investors and debt suppliers for the company need to know specifics about financing activities.
- The enterprise's financial efficiency is determined by reflecting these actions.
- It demonstrates the organization's capacity for fund-raising and money management.
According to the question:
= Short-term borrowings $4.00 million inflow + Long-term borrowings $6.95 million inflow - Long-term repayments $ (4.25) million inflow - Treasury stock purchases $ (2.00 ) million inflow.
= $4.00 + $6.95 - $4.25 - $2.00.
= $ 4.7 million.
Net financing cash inflow $ 4.7 million inflow.
Learn more about financing activities here:
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Answer:
Longly will receive $1,817.43 from selling the bond.
Explanation:
As the coupon rate is 8%; we have annual coupon payment = 2,000 x 8% = $160.
The price of the bond Longly will receive is equal to the present value of 20 annual coupon payment plus the present value of $2,000 face value repayment in 20 years time; with the two streams of cash flow discounting at the market rate at the date of issuing 9%; which is calculated as:
[ ( 160/9%) x [ 1 - 1.09^(-20) ] ] + ( 2,000 / 1.09^20 ) = $1,817.43.
So, the answer is $1,817.43.
Answer:
Physical surroundings.
Explanation:
Ruth wants to buy special gift for her best friend's baby shower party. She has invited her sister to help her out with the selection in the shopping. Situational influence is described but there is no hint of physical surrounding. Author has not mentioned anything about the physical surrounding in the passage.
Answer:
take the payments over time payout
Explanation:
My personal opinion/advice would be to take the payments over time payout. There are many reasons for this, the first one being that most individuals are not used to receiving large sums of cash and usually end up wasting all the money as soon as they receive it, which usually does not occur if the payments are made over time. The second and more important reason is that if the payments are made over different years your would pay a much lesser amount on taxes every year that passes. This means that the even with the interest rate you would most likely have more overall money if you take the payments over time.
