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Mary is purchasing a home for 294000$. She will finance her mortgage for 15 year

ID: 2767818 • Letter: M

Question

Mary is purchasing a home for 294000$. She will finance her mortgage for 15 years with 4% interest. She is paying 20% down payment of the purchase price. Mary's annual taxes are 2564$ and her annual homeowner insurance is 1778$.

5- Find the PITI payment.

6- Calculate the monthly payment and the total interest Mary need to pay if she decided to make the loan for 30 years instead of 15 years.

7- How much she saves on interest if she decided to pay out in 15 years compared to 30 years.

8- Find the interest portion and the principal portion for the first payment of the 15 years loan.

9- Make an amortization schedule for the first two payments of the 15 years loan.

This come with more but i only need 5-9 answer

Mary is purchasing a home for 294000$. She will finance her mortgage for 15 years with 4% interest. She is paying 20% down payment of the purchase price. Mary's annual taxes are 2564$ and her annual homeowner insurance is 1778$.

Explanation / Answer

5.

Loan amount = Home price × (1 – Down payment rate)

                        = $294,000 × (1 – 0.20)

                        = $294,000 × 0.80

                        = $235,200

Loan amount = {(Principal & interest)/ (i/12)} × {1 – (1 + i/12)^-(n × 12)}

235,200 = {(Principal & interest) / (0.04/12)} × {1 – (1 + 0.04/12)^-(15 × 12)}

Principal & interest = $1,739.74

Monthly taxes = $2564 / 12 = $213.67

Monthly insurance = $1778 / 12 = $148.17

PITI = Principal & interest + Monthly taxes + Monthly insurance

         = $1,739.74 + $213.67 + $148.17

         = $2,101.58