Given:
Loan Amount: $25,300
Loan Terms: 6 years = 72 months = n (convert years to months)
Interest Rate: 7.44% =
Monthly Loan Payment Formula:
Monthly Loan Payment =
Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =
Monthly Loan Payment = $436.71 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $436.71 * 72 = $31,443.12
Interest Cost = Total Cost – Loan Amount
Interest Cost = $31,443.12 – $25,300 = $6,143.12
Loan Amount: $25,300
Loan Terms: 6 years = 72 months = n (convert years to months)
Interest Rate: 7.44% =
7.44/100
= 0.0744 = 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 =
25,300 *
0.0744
/
12
/
1 – ( 1+ 0.0744/12
) -72
Monthly Loan Payment = $436.71 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $436.71 * 72 = $31,443.12
Interest Cost = Total Cost – Loan Amount
Interest Cost = $31,443.12 – $25,300 = $6,143.12