Question

Barb bought a house with 20% down and the rest financed by a 30-year mortgage with monthly payments calculated at a nominal annual rate of interest 8.4% compounded monthly. She notices that one-third of the way through the mortgage she will still owe 200,000. Determine the purchase price of the house.

Answer 1

$282,706

Step-by-step explanation:

Calculation to Determine the purchase price of the house

First step

In order for us to determine the purchase price of the house we would be using TVM Calculation to find the PMT

Hence,

PMT =

PV = 200,000

FV = 0

N = 240

I = 0.084/12

Thus,PMT = $1,723.01

The Second step will be to Calculate the Loan Amount Using TVM Calculation,

PV =

FV = 0

PMT = -1,723.01

N = 360

I = 0.084/12

Thus, PV = $226,164.98

Last step is to Determine the purchase price of the house

Using this formula

Purchase price=PV/(100%-20% down)

Let plug in the formula

Purchase price =226,164.98/(0.80)

Purchase price = $282,706

Therefore the purchase price of the house will be $282,706