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Question

Considering the following pairs of choices for a $120,000\$ 120,000 mortgage loan. Calculate the monthly payment and total closing costs for below choice. Explain which loan you would choose and why. 1: 3030-year fixed rate mortgage at 4%4 \% with no closing costs and no points Choice 2: 3030 -year fixed rate mortgage at 3%3 \% with closing costs of $1200\$ 1200 and 44 points

Solution

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Answered 1 year ago
Answered 1 year ago
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The goal is to determine the monthly payment and total closing costs of the following:

  • Option 11: A mortgage loan of $120000\$120000 for 3030 years with a fixed rate of mortgage of 4%4\% with no closing costs and no points.

  • Option 22: A mortgage loan of $120000\$120000 for 3030 years with a fixed rate of mortgage of 3%3\% with closing costs of $1200\$1200 and 44 points.

To determine the monthly payment, apply:

PMT=P×APRn[1(1+APRn)nY]PMT=\dfrac{P\times \frac{APR}{n}}{[1-(1+\frac{APR}{n})^{-nY}]}

where PMTPMT is the monthly payment, PP is the amount loan, APRAPR is the mortgage rate, nn is the number of payments per year, and YY is the number of years.

To determine the total closing cost, multiply the given amount loan by the given point fee (as a percentage) and add the answer and the given closing costs.

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