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A group of clients just refinanced their home for $195,500 at 3.5% for a 30-year fixed-rate mortgage. Their monthly payment is $877.88. They have extra
A group of clients just refinanced their home for $195,500 at 3.5% for a 30-year fixed-rate mortgage. Their monthly payment is $877.88. They have extra $225 that you have two options for.
a. Your clients can put the extra $225 per month towards paying off the mortgage early.
b. Your clients can invest the $225 in an annuity each month.
Which is the best option for them?
Answer the following:
- Calculate how many months early the mortgage would be paid off if the $225 is applied monthly
- Calculate the total amount of interest paid if extra monthly payments are made.
- Calculate the total amount of interest paid if NO extra monthly payments are made.
- For the mortgage where no extra monthly payments were made, the $225 is invested in an annuity each month earning 5.125% compounded monthly. For the mortgage where extra payments WERE made, once the mortgage is paid off, they invest the $877.88 + 225 = $1102.88 in an annuity each month earning 5.125% compounded monthly. Calculate the amount they will have in each account after 30 years.
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