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jakes house costs about 120000. with 5% interest overe 30 years how much will his mortgage cost him?

 Oct 28, 2014

Best Answer 

 #1
avatar+23254 
+5

If it were simple interest, you would use the formula i = P·r·t

where i = interest,  P = principal (amount borrowed), r = rate (as a decimal)

and t = time (years)    --->  i = 120000(.05)(30) = $180,000.00.

However, that is unrealistic.

Paying off a house loan is done monthly, so you need to use a compound interest formula to find the monthly payment.

The monthly payment will be $644.19 (using an online calculator for home loans).

Paying this monthly for 30 years:  

     $644.19 (per month) x 12 (months per year) x 30 (years)  =  $231,908.40

Since $120,000.00 was borrowed,  $231,908.40 - $120,000.00  =  $111,908.40 will be the amount of interest paid.

 Oct 28, 2014
 #1
avatar+23254 
+5
Best Answer

If it were simple interest, you would use the formula i = P·r·t

where i = interest,  P = principal (amount borrowed), r = rate (as a decimal)

and t = time (years)    --->  i = 120000(.05)(30) = $180,000.00.

However, that is unrealistic.

Paying off a house loan is done monthly, so you need to use a compound interest formula to find the monthly payment.

The monthly payment will be $644.19 (using an online calculator for home loans).

Paying this monthly for 30 years:  

     $644.19 (per month) x 12 (months per year) x 30 (years)  =  $231,908.40

Since $120,000.00 was borrowed,  $231,908.40 - $120,000.00  =  $111,908.40 will be the amount of interest paid.

geno3141 Oct 28, 2014

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