Question

4. You want to take out a fully-amortizing 30-year mortgage. You can afford monthly payments of $600 each. The interest rate is 9%. How much money can you borrow?

Answer 1

Answer: $74569

Explanation:

Based on the information given in the question, the amount that can be borrowed is explained below:

Present value of annuity will e calculated as:

= 600 × [1-(1+0.09/12)^-(12 ×30)] / (0.09/12)

= 600 × [1-(1+0.0075)^-(360)] / 0.0075

= 600 × 1-(1.0075)^-(360)] / 0.0075

= 600 × [1-0.0678860074] / 0.0075

= 600 × 124.282

= 74569

The amount that can be borrowed is $74569