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Don is buying a home for $190,300. He is making a 30% down payment and financing the rest with a 15-year loan at 5.75% interest. What will his monthly mortgage payment be?

A$1106.18
B$1124.16
C$1304.28
D$1580.25

Verified Answer :

The answer would be A. $1106.18

Answer:

Option A- $1106.18.

Step-by-step explanation:

Given : Don is buying a home for $190,300. He is making a 30% down payment and financing the rest with a 15-year loan at 5.75% interest.

To find : What will his monthly mortgage payment be?

Solution :

There is a 30% down payment

So, Amount financing \(=190300-190300\times 30\%\)

                                    \(= 190300-190300\times0.3\)

                                     \(= 190300-57090=133210\)

Formula of monthly payment  :

Monthly payment, \(M=\frac{\text{Amount}}{\text{Discount factor}}\)  

Discount factor \(D=\frac{1-(1+i)^{-n}}{i}\)  

Where, Amount = $133210

Rate r= 5.75%=0.0575

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Time = 15 years  

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Now, put all the values we get,  

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Monthly payment, @@MATH_TOKEN_13@@  

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Therefore, Option A is correct.

The Monthly payment is $1106.18.