Given:
Loan Amount: $7,500
Loan Terms: 3 years = 36 months = n (convert years to months)
Interest Rate: 6.75% =
Monthly Loan Payment Formula:
Monthly Loan Payment =
Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =
Monthly Loan Payment = $230.72 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $230.72 * 36 = $8,305.92
Interest Cost = Total Cost – Loan Amount
Interest Cost = $8,305.92 – $7,500 = $805.92
Loan Amount: $7,500
Loan Terms: 3 years = 36 months = n (convert years to months)
Interest Rate: 6.75% =
6.75/100
= 0.0675 = 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 =
7,500 *
0.0675
/
12
/
1 – ( 1+ 0.0675/12
) -36
Monthly Loan Payment = $230.72 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $230.72 * 36 = $8,305.92
Interest Cost = Total Cost – Loan Amount
Interest Cost = $8,305.92 – $7,500 = $805.92