Audrey Sanborn has just arranged to purchase a $530,000 vacation home in the Bah
ID: 2640294 • Letter: A
Question
Audrey Sanborn has just arranged to purchase a $530,000 vacation home in the Bahamas with a 20 percent down payment. The mortgage has a 5.9 percent stated annual interest rate, compounded monthly, and calls for equal monthly payments over the next 30 years. Her first payment will be due one month from now. However, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of Year 8. There were no other transaction costs or finance charges.
How much will Audrey
Audrey Sanborn has just arranged to purchase a $530,000 vacation home in the Bahamas with a 20 percent down payment. The mortgage has a 5.9 percent stated annual interest rate, compounded monthly, and calls for equal monthly payments over the next 30 years. Her first payment will be due one month from now. However, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of Year 8. There were no other transaction costs or finance charges.
Explanation / Answer
Following are the steps to solve the problem using TI BA II Plus Professional.
1) We need to first find the value of the PMT(monthly payment) of the loan.
The PV of the loan = 0.80 * $530,000 = $424,000
N = 12 * 30 = 360 (Number of payments)
I/Y = 5.9%/ 12 = 0.4917% (Interest rate per period)
Solving for the PMT we have = $2,514.8988
Now using the amortization table function we can find the remaining book value of the loan after 8 years or 12 * 8 = 96 payments which is: $371,379.4640
The amount of balloon payment will be: $371,379.4640
Solving the problem manually would have taken a very long time hence I solved using a financial calculator. Comment me if you need any help.
I hope my solution solves your query.
Regards.
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