Harry took out a 25-year loan for $160,000 at 9.6% interest, compounded monthly. If his monthly payment on the loan is $1409.05, how much of his first payment went toward note reduction?

Respuesta :

Answer on Apex=$129.05

Answer:

The first payment went toward reduction is $129.05.

Step-by-step explanation:

Consider the provided information.

Harry took out a 25-year loan for $160,000 at 9.6% interest, compounded monthly. His monthly payment on the loan is $1409.05,

Now, find the interest of 1 month on a loan of $160,000 at 9.6% interest.

[tex]I=160000 \times \frac{9.6}{12 \times 100}[/tex]

[tex]I=160000 \times (0.008)[/tex]

[tex]I=1280[/tex]

Thus, the Interest of 1 month is $1280.

Monthly payment is $1409.05

First payment or reducing principal is given by:

F = monthly payment - interest of 1 month

F = $1409.05 - $1280

F = $129.05

Therefore, The first payment went toward reduction is $129.05.