Question

You need a 35-year, fixed-rate mortgage to buy a new home for $295,000. Your mortgage bank will lend you the money at an APR of 5.9 percent. However, you can only afford monthly payments of $1,350, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. How large will this balloon payment have to be for you to keep your monthly payments at $1,350

Answer 1

$434,780.69

Step-by-step explanation:

The computation of the large the ballon payment would be is determined by using the future value formula i.e. to be shown in the attachment

Provided that

Present value = $295,000

Rate of interest = 5.9% ÷ 12 months = 0.49166%

NPER = 35 years × 12 months = 420 months

PMT = $1,350

The formula is shown below:

= -FV(Rate;NPER;PMT;-PV;type)

So, after applying the above formula, the future value is $434,780.69