Robert took out an 80/20 mortgage to buy a $145,000 house. The first (80%) mortgage has an interest rate of 4.75%, and the secon

Question

3 years ago

5

d (20%) mortgage has an interest rate of 7.525%. Both mortgages are 30-year fixed-rate mortgages. What is the total mortgage payment for this house?

1 answer:

barxatty [35] · Answer 1 · 2022-06-21T18:47:05+03:00

<h3>Answer:</h3>

$808.38

<h3>Explanation:</h3>

The formula for the payment amount (A) on principal P at interest rate r compounded monthly for a loan period of t years is ...

... A = P(r/12)/(1 -(1 +r/12)^(-12t))

For the main loan, the payment is ...

... A = 0.80·145000·(.0475/12)/(1 -(1 +.0475/12)^(-12·30)) = 605.11

For the piggyback loan, the payment is ...

... A = 0.20·145000·(.07525/12)/(1 -(1 +.07525/12)^(-12·30)) = 203.27

So, the total of monthly payments for the two loans is ...

... $605.11 +203.27 = $808.38