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Stolb23 [73]
3 years ago
12

Why is the annual interest rate more important to a borrower who carries a balance than to a borrower who pays off the

Mathematics
2 answers:
Andrew [12]3 years ago
5 0

Answer:

Step-by-step explanation:

Who is paying is not as important as the interest rate. Either way, a lower rate will benefit the person who has the bill.

Goryan [66]3 years ago
4 0

Answer:

Interest to be paid will keep on reducing each month due to reduction of the principal amount.As a result the net interest outgo will be higher for a borrower who carries balance for the whole year compared to one who pays offs monthly.

Step-by-step explanation:

The interest outgo for any balance depends on 3 things:

  • Principal amount
  • Duration of the borrowing
  • Annual Interest Rate

In case of borrower who carries the balance, the annual interest is:

\[\frac{Principal\times 1 \times Rate}{100}\]

On the other hand, a borrower who pays the balance monthly,will have a reducing balance on which interest in computed each month. For example,

Month 1 : Interest is computed on entire amount P

Month 2: Interest is computed on \[Principal - \frac{Principal}{12}\]

Month 3: Interest is computed on \[Principal-\frac{2 \times Principal}{12}\]

and so on.

So the interest to be paid will keep on reducing each month due to reduction of the principal amount.

As a result the overall interest outgo at the end of the year will be less compared to the borrower who carries the balance.

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