You want to buy a house that costs $200,000. You will make a down payment equal to 10 percent of the price of the house and finance the remainder with a loan that has an APR of 5.15 percent compounded monthly. If the loan is for 20 years, what are your monthly mortgage payments

Respuesta :

Answer:

The correct answer is $1202.37.

Explanation:

According to the scenario, the given data are as follows:

Cost of house = $200,000

Down payment = $200,000 × 10% = $20,000

Loan amount ( p)= $200,000 - $20,000 = $180,000

Interest rate (r) = 5.15%

Loan period = 20 years

Loan period (monthly) (t) = 240 months

So, we can calculate the monthly payment by using following formula:

Monthly payment = p × r × ( 1 + r )^t ÷ (( 1 + r)^t -1)

= $180,000 × 0.0515÷12 × ( 1 + 0.0515÷12)^240 ÷ (( 1 + 0.0515÷12)^240-1)

= 772.5 ( 2.79378638786 ) ÷ (1.00429)^240 -1)

= 2156.803 ÷ (1.79378638786 )

= $1202.37