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Suppose you decide to borrow $180,000 for the house and you think you can pay $1,000...

Suppose you decide to borrow $180,000 for the house and you think you can pay $1,000 at the end of every month. The bank charges 3% APR. Approximately, how long should your mortgage be (in years)? Briefly show your calculations.

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Answer #1

Ans 20 years

P = Regular Payments
PV = Loan Amount
r = rate of interest
n = no of periods
P = r (PV)
1 - (1 + r )-n
1000 = (3%/12)*180000
1 - (1 / (1 + 3%/12)^n))
1000 = 450
1 - (1 / (1 + 3%/12)^n))
n = 239 months
or
n = 20 years
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