if the mortgage loan is 80% of the house purchase price and the interest rate of 6% amounts to $460 mortgage payment each month for 25 years, what is the house purchase price?

Respuesta :

The house purchase price is mathematically given as

$68140

This is further explained below.

What is a mortgage payment?

Generally, Principal, interest, property taxes, and mortgage insurance are the basic components that make up a monthly mortgage payment. The Principal amount is the part of the payment that goes toward reducing the total amount still owed on the loan.

The cost of borrowing money is represented by the interest rate. Your interest rate and the outstanding balance on your loan are the two main factors that go into calculating the amount of interest you have to pay.

The equation of the principle amount is mathematically given as

[tex]P V=A\left[\frac{1-\left(\frac{1}{1+r}\right)^n}{r^{(p)}}\right][/tex]

Number of Periods/Years (n) = 15

Nominal Rate Of Interest (r(12)) = 0.06

Regular Withdrawal (A) = $5520

Therefore

[tex]\\P V=5520 * \frac{1-\left(\frac{1}{1+0.06168}\right)^{15}}{0.06} \\\\P V=\$ 54511.61675\end{gathered}[/tex]

Therefore

[tex]Price =54511.61675*(5/4)[/tex]

=68139.5209

=68140

Read more about a mortgage payment

https://brainly.com/question/24174269

#SPJ1