A to Z Mortgages made a home equity loan to your friend. For a 4-year loan of $10,000 at 10% per year, what annual payment must he make to pay off the entire loan in 4 years if interest is charged on (a) the original principal amount of $10,000, and (b) the unrecovered balance? (c) What is the differ­ence in the annual payments between the two bases for interest? Which method requires more money to repay the loan?

What will be an ideal response?


(a) Annual payment = principal/# of periods + interest per year
= 10,000/4 + 10,000(0.10)
= $3500

(b) A = 10,000(A/P,10%,4)
= 10,000(0.31547)
= $3154.70

(c) Difference = 3500 – 3154.70
= $345.30

$345.30 more is required to repay the loan based on the original principal.

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