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zavuch27 [327]
3 years ago
5

You need a 35-year, fixed-rate mortgage to buy a new home for $260,000. Your mortgage bank will lend you the money at an APR of

5.55 percent for this 420-month loan. However, you can afford monthly payments of only $1000. 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 $1:000?
Business
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

$345,050

Explanation:

An annual percentage rate (APR) is the annual rate that is paid on amount borrowed or received from an investment. It is usually stated as a percentage which indicates the annual cost of funds over the term of a loan.

From the question we have:

Mortgage loan amount = $260,000

Monthly repayment amount affordable = $1,000

ARR = 5.55%

Monthly ARR = 5.55% ÷ 12 = 0.4625%

Mortgage loan tenure in years = 35

Mortgage Loan tenure in months = 35 × 12 = 420

ARR amount payable monthly = Mortgage Loan × Monthly ARR

                                                  = $260,000 × 0.4625%

                                                  =  $1,202.50

Total ARR amount payable = ARR amount payable monthly × Mortgage Loan tenure in months

Total ARR amount payable = $1,202.50 × 420

                                             = $505,050.00  

Total mortgage loan to repay after 35 years = Mortgage loan amount + Total ARR amount payable

Total mortgage loan to repay after 420 months = $260,000 + $505,050

                                                                                = $765,050  

Total repayment amount affordable = Monthly repayment amount affordable × Mortgage Loan tenure in months

Total repayment amount affordable = $1,000 × 420

                                                            = $420,000

 Balloon payment after 420 months = Total mortgage loan to repay after 420 months - Total repayment amount affordable

Balloon payment after 420 months = $765,050 - $420,000

                                                           = $345,050  

Therefore, the balloon payment have to be as large as $345,050 to keep monthly payments at $1,000.

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