Monthly loan payment on a $300,000 loan for 30 years with a 5% interest rate

Given:
Loan Amount: $300,000
Loan Terms: 30 years = 360 months = n  (convert years to months)
Interest Rate: 5% =
5/100
= 0.05 = 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 =  
300,000  * 
0.05 / 12
/ 1 – ( 1+
0.05/12
 ) -360

Monthly Loan Payment =  $1,610.46  ( rounded to two decimal places)
Notes:
Total Cost =  Monthly Loan Payment * Number of Payments
Total Cost =  $1,610.46 * 360 =  $579,765.60
Interest Cost =  Total Cost – Loan Amount
Interest Cost =  $579,765.60 – $300,000 =  $279,765.60

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