Question

You are thinking of purchasing a house. The house costs $350,000. You have $50,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30-year mortgage that requires annual payments and has an interest rate of 7% per year. You can afford to pay only $23,500 per year. The bank agrees to allow you to pay this amount each year, yet still borrow $300,000. At the end of the mortgage (in 30 years), you must make a balloon payment; that is, you must repay the remaining balance on the mortgage. How much will this balloon payment be?

Answer 1

Answer:

$63,852

Explanation:

The computation is shown below:

a) PV of payments is

= $23,500 × (1.07^30 - 1) ÷ (0.07 × 1.07^30)

= $2,91,612

b) The Loan PV of payments is $3,00,000

c) And, the Balloon payment required is

= (Borrowed amount - loan PV payments) × (1 + rate of interest)^number of years

= ($300,000 - $291,612) × 1.07^30

= $63,852