Monthly loan payment on a $10,000 loan for 3 years with a 4.5% interest rate

Given:
Loan Amount: $10,000
Loan Terms: 3 years = 36 months = n  (convert years to months)
Interest Rate: 4.5% =
4.5/100
= 0.045 = 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 =  
10,000  * 
0.045 / 12
/ 1 – ( 1+
0.045/12
 ) -36

Monthly Loan Payment =  $297.47  ( rounded to two decimal places)
Notes:
Total Cost =  Monthly Loan Payment * Number of Payments
Total Cost =  $297.47 * 36 =  $10,708.92
Interest Cost =  Total Cost – Loan Amount
Interest Cost =  $10,708.92 – $10,000 =  $708.92

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