Jason Aldeen bought a house for $275,000. He made a down payment of 15%. The interest rate is 4.2% for 15 years.


How much was Jason's down payment?


How much does Jason need to borrow?


What is his monthly payment?

Respuesta :

Answer:

Step-by-step explanation:

Jason's down payment= $41250

Amount he needs to borrow is

275000-41250 = $233750

Jason's monthly payment would be

248476.25/180 = $1380.42

The original cost of the house that Jason Aldeen bought is $275,000. He made a down payment of 15%. This means he paid 15% of the original cost of the house. Therefore,

Jason's down payment is 15% of $275000

= 15/100 × 275000 =0.15×275000

=$41250

Since Jason's down payment is smaller than the original cost of the house, he would need to borrow.

Amount he needs to borrow is

275000-41250 = $233750

If Jason borrows $233750 at a rate of 4.2% for 15 years

Total interest on $233750 for 15 years will be

= (233750×4.2×15) /100

= 14726250/100 = $14726.25

Total amount to be paid for 15 years will be amount borrowed + interest

=233750 + 14726.25 = $248476.25

Converting 15 years to months,

15 × 12 months = 180 months.

Jason's monthly payment would be

248476.25/180 = $1380.42

1) Jason's down payment is $41250.

2) Jason needs to borrow $233750.

3) Monthly payment of Jason is $1752.54.

It is given that:

Cost of the house = $275,000

Interest rate APR= 4.2% per year

Tenure n= 15 years = 180 months

Down payment = 15% of $275,000

Down payment = $41250

So, Jason needs to borrow = 275,000-41250

Jason needs to borrow =$233750

What is the formula for Monthly payment?

The formula for monthly payment is,

[tex]EMI = \frac{Pr(1+r)^n}{(1+r)^n-1}[/tex]

Where P= Amount to be borrowed

r = monthly rate of interest = APR/12

n= tenure of the loan(In months)

Using the above formula,

Monthly payment of the Jason = $1752.54

Therefore, 1) Jason's down payment is $41250.

2) Jason needs to borrow $233750.

3) Monthly payment of Jason is $1752.54.

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