MHB How Much Must John Pay the Bank if He Returns the Loan in Full in 6 Months?

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John took out a $3,000 loan with a repayment plan of 60 months at varying monthly payments. After 6 months, the remaining balance he must pay back is $2,790.17, calculated based on the loan's interest rate of 15.99% compounded monthly. There is confusion regarding the interest rate's application, as some believe it may have been miscalculated. The discussion emphasizes the importance of understanding the loan's terms to determine the correct repayment amount. Accurate calculations are crucial for borrowers to know their financial obligations.
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John took out a loan for 3000 dollars. The bank made a payment plan of 60 months at 73.80 for 59 months and then 73.40 for the final month. The cost of his credit as a yearly rate is 15.99 percent. After 60 months (5 years), John will owe the bank a total of 4,427 dollars and 59 cents. If John pays the loan in less than 5 years, the amount he must pay the bank will NOT be 4,427 dollars and 59 cents.

A. How much must John pay the bank if he returns the loan in full in 6 months?

B. Same as A for 1 year.

C. Is there a formula to work out parts A and B? If so, what is that formula?

Thank you.
 
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nycfunction said:
John took out a loan for 3000 dollars. The bank made a payment plan of 60 months at 73.80 for 59 months and then 73.40 for the final month. The cost of his credit as a yearly rate is 15.99 percent. After 60 months (5 years), John will owe the bank a total of 4,427 dollars and 59 cents. If John pays the loan in less than 5 years, the amount he must pay the bank will NOT be 4,427 dollars and 59 cents.
A. How much must John pay the bank if he returns the loan in full in 6 months?
B. Same as A for 1 year.
C. Is there a formula to work out parts A and B? If so, what is that formula?
Sorry, but that problem as stated does not make sense.
Can you ask someone familiar with English to help you post it properly? Thank you.
Important is the rate: is it 15.99 annual effective, or .1599/12 monthly.
 
Wilmer said:
Sorry, but that problem as stated does not make sense.
Can you ask someone familiar with English to help you post it properly? Thank you.
Important is the rate: is it 15.99 annual effective, or .1599/12 monthly.

Sorry but the words are not my own. I found this problem online but cannot remember the site.
 
Well, whoever "arranged" the problem simply didn't know what he/she was doing...

IF the payment is 73.80 and the rate is 15.99% annual cpd. monthly,
then what is owing after 6 months is THE ACTUAL BALANCE OWING AFTER 6 PAYMENTS:
Code:
  MONTH    PAYMENT    INTEREST    BALANCE
    0                             3000.00
    1       -73.80       39.97    2966.17
    2       -73.80       39.53    2931.90
    3       -73.80       39.06    2897.16
    4       -73.80       38.61    2861.97
    5       -73.80       38.14    2826.31
    6       -73.80       37.66    2790.17
So answer = 2790.17
IF anything else is given as answer, then the interest rate is treated
slightly differently (perhaps simple interest)...
 
Wilmer said:
Well, whoever "arranged" the problem simply didn't know what he/she was doing...

IF the payment is 73.80 and the rate is 15.99% annual cpd. monthly,
then what is owing after 6 months is THE ACTUAL BALANCE OWING AFTER 6 PAYMENTS:
Code:
  MONTH    PAYMENT    INTEREST    BALANCE
    0                             3000.00
    1       -73.80       39.97    2966.17
    2       -73.80       39.53    2931.90
    3       -73.80       39.06    2897.16
    4       -73.80       38.61    2861.97
    5       -73.80       38.14    2826.31
    6       -73.80       37.66    2790.17
So answer = 2790.17
IF anything else is given as answer, then the interest rate is treated
slightly differently (perhaps simple interest)...

This makes sense.
 
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