Question

g Ms. White has entered the housing market in search of a suitable home. She has saved $10,000 for a down payment and has found a house that sells for $100,000. She can obtain a mortgage for the difference for 30 years at 12 percent per year. Suppose Ms. White learns she is being transferred. She must now sell her house and pay off the mortgage debt outstanding after 18 months. What is the amount outstanding

Answer 1

$89,418

Step-by-step explanation:

It is important to realize that Ms. White has been honoring her mortgage payments for the 18 months that she owned the house.

So we can determine the amount of outstanding debt by constructing an amortization table.

Here, i will use a Financial Calculator to prepare the amortization table.

PV = $90,000

N = 20

I = 12

FV = 0

P/YR = 1

PMT = $11,172.93 (CALCULATED)

Period Principle Interest Payment Balance

Beginning $90,000

Year 1 End $373 $ 10,800 $11,173 $89,627

Year 2 End $417 $ 10,755 $11,173 $89,209

But for the Year 2 she only owned the house for 6 month (to 18 months).

Thus amount outstanding after 18 months is $89,418 ($89,627 - $209)