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# Calculating monthly PITI in the given case

Annie Oakley is purchasing a home for \$215,000. She will finance the mortgage for 15 years and pay 7% interest on the loan. She makes a down payment that is 20% of the purchase price.

a. Find the monthly payment, including principal and interest.

b. Calculate the total interest Annie will pay over the 15 year period.

c. How much more interest would Annie pay by paying for the home in 30 years rather than 15 years?

d. The annual taxes on Annie's property come to \$7100, and she pays \$535 for insurance each year. Find her monthly PITI payment if she takes a 15 year loan.

#### Solution Preview

a. Find the monthly payment, including principal and interest.

Loan amount=PV=\$215000*80%=\$172,000
Monthly rate of interest=i=7%/12= 0.58333%
Number of periods=n=15*12=180
Monthly Installment=R=?

We know that
PV=R/i*(1-1/(1+i)^n)

172000=R/0.58333%*(1-1/(1+0.58333%)^180)
172000=R*111.2562
R=\$1545.98

b. Calculate ...

#### Solution Summary

Solution describes the steps to calculate monthly PITI in the given case.

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