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Julio just bought a $267,900 house. he had a 20 year mortgage with a fixed rate of 5.875%. julio’s monthly payments are $1,558.09. what percent of the purchase price was julio’s down payment?
a. 13%
b. 15%
c. 18%
d. 20%
please select the best answer from the choices provided a b c d


Sagot :

c. 18% of the purchase price was julio’s down payment.

Down payment on a home:

A person who is unable to pay the full price of a house right away may choose to take out a mortgage and pay it off over time. A down payment, typically in the form of a percentage of the house's price, may be required of the borrower upfront.

The house cost $267,900.

Mortgage period (n) = 20-years adjusted for monthly payment = 20*12=240 months

r = 5.875% adjusted for monthly compounding = 0.05875/12

Monthly payment = $1,558.09

calculate the home loan esteem which is equivalent to the current worth of Julio's regularly scheduled installments.

Loan = payment × 1 - ( 1 + r ) ⁻ⁿ / r

        = 1558.09 × 1 - ( 1 + 0.05875/12 ) / 0.05875/12

       = 1558.09 × 140.996299269

       = $219,684.92

Down payment = house price - Mortage

down payment = $48,215.08

Down payment percentage = down payment/house price

                                             = 48,215.08 / 267,900 × 100

                                              = 17,9974%

                                              ≈ 18%

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