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You decide that the maximum monthly home mortgage payment that you can afford is $930.00. You...

You decide that the maximum monthly home mortgage payment that you can afford is $930.00. You can make a $12,000 down payment, and annual interest rates are currently 7.5%. If you obtain a 30-year mortgage, what is the maximum purchase price that you can afford? Please show your work with step by step

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Answer #1

Let (X+12000) be the maximum purchase price that can be afforded to buy this house.

The maximum monthly mortgage that can afforded is $ 930.

Using the PMT equation to calculate the monthly mortgage payment, the maximum purchase price of the home can be calculated

The present value of the loan that results in a monthly mortgage payment of $ 930 is calculated as follows

Present value of the loan = $ 133,006.40

Since a $ 12,000 down payment is already made, the maximum purchase price that can be afforded = $ 133,006.40 + $ 12,000 ( $ 145,006.40)

Hence the maximum purchase price that can be afforded to buy the home $ 145,006

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