Given:
Loan Amount: $10,000
Loan Terms: 3 years = 36 months = n (convert years to months)
Interest Rate: 4.5% =
Monthly Loan Payment Formula:
Monthly Loan Payment =
Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =
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
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