Monthly loan payment on a $200,000 loan for 30 years with a 5.5% interest rate

Given:
Loan Amount: $200,000
Loan Terms: 30 years = 360 months = n  (convert years to months)
Interest Rate: 5.5% =
5.5/100
= 0.055 = r  (convert percent to a decimal)
Monthly Loan Payment Formula:
Monthly Loan Payment =  
Loan Amount  * 
r / 12
/ 1 – ( 1+
r/12
 ) -n

Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =  
200,000  * 
0.055 / 12
/ 1 – ( 1+
0.055/12
 ) -360

Monthly Loan Payment =  $1,135.58  ( rounded to two decimal places)
Notes:
Total Cost =  Monthly Loan Payment * Number of Payments
Total Cost =  $1,135.58 * 360 =  $408,808.80
Interest Cost =  Total Cost – Loan Amount
Interest Cost =  $408,808.80 – $200,000 =  $208,808.80
Interest Cost is greater than the Loan Amount

The solution above and other related solutions were provided by the Monthly Loan Payment Application. 

Monthly Loan Payment

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