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How do you calculate the present value of remaining mortgage payments using the formula provided in the chapter?

To calculate the present value of remaining mortgage payments, use the formula: PV = PMT × [1 - (1 + r/m)^(-n*m)] / (r/m), where PMT is the payment amount, r is the annual interest rate, n is the number of years left, and m is the number of payments per year.

This formula allows you to determine the present value of future payments on a mortgage by discounting them back to their value today. You will substitute the appropriate values for PMT (the payment amount), r (the annual interest rate), n (the number of years remaining), and m (the frequency of payments per year, typically 12 for monthly payments). For example, if you have 240 monthly payments remaining on a mortgage with a specific payment amount and interest rate, you would plug those values into the formula to find the present value of those payments.

Key points

  • PV represents the present value of future payments.
  • PMT is the amount of each payment.
  • r is the annual interest rate, and m is the number of payments per year.
  • n is the number of years remaining on the mortgage.
Source:Financial Management: Principles and Applications· An Introduction to Risk and Return—History of Financial Market Returns· p. 203–220

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Cover of Financial Management: Principles and Applications

Financial Management: Principles and Applications

Sheridan Titman

Thirteenth Edition · Pearson

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