Monthly loan payment on a $200,000 loan for 30 years with a 2.5% interest rate

Given:
Loan Amount: $200,000
Loan Terms: 30 years = 360 months = n  (convert years to months)
Interest Rate: 2.5% =
2.5/100
= 0.025 = 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  * 
0.025 / 12
/ 1 – ( 1+
0.025/12
 ) -360

Monthly Loan Payment =  $790.24  ( rounded to two decimal places)
Notes:
Total Cost =  Monthly Loan Payment * Number of Payments
Total Cost =  $790.24 * 360 =  $284,486.40
Interest Cost =  Total Cost – Loan Amount
Interest Cost =  $284,486.40 – $200,000 =  $84,486.40

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

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