Given:
Loan Amount: $190,000
Loan Terms: 30 years = 360 months = n (convert years to months)
Interest Rate: 2.3% =
Monthly Loan Payment Formula:
Monthly Loan Payment =
Substitute given values into Monthly Payment Formula:
Monthly Loan Payment =
Monthly Loan Payment = $731.12 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $731.12 * 360 = $263,203.20
Interest Cost = Total Cost – Loan Amount
Interest Cost = $263,203.20 – $190,000 = $73,203.20
Loan Amount: $190,000
Loan Terms: 30 years = 360 months = n (convert years to months)
Interest Rate: 2.3% =
2.3/100
= 0.023 = 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 =
190,000 *
0.023
/
12
/
1 – ( 1+ 0.023/12
) -360
Monthly Loan Payment = $731.12 ( rounded to two decimal places)
Notes:
Total Cost = Monthly Loan Payment * Number of Payments
Total Cost = $731.12 * 360 = $263,203.20
Interest Cost = Total Cost – Loan Amount
Interest Cost = $263,203.20 – $190,000 = $73,203.20