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.
Related questions
- How does the time value of money affect the retirement savings of two individuals who received $10,000 gifts but invested them differently, according to the chapter's example?
- How does an increase in debt financing affect the equity multiplier for Garwryk, Inc., and what is the current equity multiplier given its debt ratio of 80 percent?
Financial Management: Principles and Applications
Sheridan Titman
Thirteenth Edition · Pearson