For a $200,000 mortgage, with an interest rate of 4% paid over 20 years, the monthly payment is $1,211.96. After one month, what is the balance of the loan? Give your answer to the nearest dollar.

Respuesta :

Answer:

which is $198,908 to the nearest dollar.

Step-by-step explanation:

For the first month, the outstanding balance is $200,000, and the amount of interest accrued is

$200,000×0.0412=$666.67.

For the first month the amount deducted from the loan principal is ($1,211.96−$666.67)=$545.29, so the balance on the loan after the first month is

$200,000−$545.29=$199,454.71.

For the second month, the outstanding balance is $199,454.71, and the amount of interest accrued is

$199,454.71×0.0412=$664.85,

measured to 2 decimal places. For the second month the amount deducted from the loan principal is ($1,211.96−$664.85)=$547.11. The balance on the loan after the second month is

$199,454.71−$547.11=$198,907.60,

The balance on the loan will be $198,908.

Based on the information given, the amount of interest for the first month will be:

= $200,000 × 0.0412

= $666.67

During the first month, the amount subtracted from the loan will be:

= $12111.96 - $666.67

= $545.29.

The interest accrued for the second month will be:

= $199454.71 × 0.0412

= $664.85

Therefore, the balance on the loan after the second month will be:

= $199454.71 - $547.11

=$198,907.60

Read related link on:

https://brainly.com/question/21520622