# Math

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If you finance \$50,000 of the purchase of your new home at 4.40% compounded monthly for 30 years, the monthly payment will be \$250.38.
If instead your had a rate of 4.80% compounded monthly for 15 years, the monthly payment will be \$390.21. How much do you pay in total for the \$50,000 mortgage if you finance it for 30 years?
Total payment = ?

How much do you save (in total payments) if you finance for 15 years instead? ? dollars

• Math -

\$50000 @ 4.40% for 30 yrs.
Pt = \$250.38/mo * 360mo = \$90136.80

\$50000 @ 4.80% for 15yrs.
Pt = \$390.21/mo * 180mo = \$70237.80.

Save: \$90136.80 - 70237.80 = \$19,899.

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