Given:
Loan Amount: $25,000
Loan Terms: 6 years = 72 months = n (convert years to months)
Interest Rate: 5.5% =
Monthly Loan Payment Formula:
Monthly Loan Payment =
Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =
Monthly Loan Payment = $408.45 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $408.45 * 72 = $29,408.40
Interest Cost = Total Cost – Loan Amount
Interest Cost = $29,408.40 – $25,000 = $4,408.40
Loan Amount: $25,000
Loan Terms: 6 years = 72 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 =
25,000 *
0.055
/
12
/
1 – ( 1+ 0.055/12
) -72
Monthly Loan Payment = $408.45 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $408.45 * 72 = $29,408.40
Interest Cost = Total Cost – Loan Amount
Interest Cost = $29,408.40 – $25,000 = $4,408.40