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Published byDiane Lynne Allison Modified over 9 years ago
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Calculating mortgage payments (Paying back your student loans)
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((1+monthly interest rate) ^(T*12) -1 ) Monthly interest rate *(1+monthly interest rate) ^(T*12) Loan *
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((1+monthly interest rate) ^(T*12) -1 ) Monthly interest rate *(1+monthly interest rate) ^(T*12) Loan *
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((1+monthly interest rate) ^(T*12) -1 ) Monthly interest rate *(1+monthly interest rate) ^(T*12) Loan * Annual rate divided by months
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( 1+ ) (T * 12 ) ( 1+ ) - 1 (T * 12) ( rate months ) x rate months rate months
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( 1+ ) (T * 12) ( 1+ ) - 1 (T * 12) () x MIR MIR = Monthly Interest Rate
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Here is a sample problem: 30 year mortgage loan $60,000 annual interest rate of 12%, what is the monthly payment?
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( 1+ ---).12 12 ( 1 + ) - 1.12 12 (T * 12) x ( --).12 12
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( 1+ ---).12 12 ( 1 + ) - 1.12 12 (T * 12) x ( --).01
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( 1+ ---) ( 1 + ) - 1.12 12 (T * 12) x ( --).01
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( 1+ ---) ( 1 + ) - 1 (T * 12) x ( --).01
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( 1.01 ) ( 1 + ) - 1 (T * 12) x ( --).01
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( 1.01 ) ( 1.01 ) - 1 (T * 12) x ( --).01
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( 1.01 ) - 1 ( 1.01 ) x (360) ( --).01 (T * 12)
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( 1.01 ) - 1 ( 1.01 ) x (360) ( --).01 (360)
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( 1.01 ) - 1 ( 35.9496 ) x ( --).01 (360)
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( 35.9496 ) - 1 ( 35.9496 ) x ( --).01
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( 35.9496 ) - 1.35.9496 Move the decimal 2 places left
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35.9496 - 1.359496 Subtract 1
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34.9496.359496 Divide the fraction
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.010286
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$60,000 *.010286 = $617.17
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Monthly payments are: $617.17
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