Excel's Formula - sisman

Early loan payoff
Chapter 11: Borrowing and Investing Formulas 307
During times of declining interest rates, a homeowner might refinance his home mortgage. You
can use NPER to calculate how many fewer payments you would have to make due to refinancing.
This example assumes a $200,000 mortgage at 7.5%, with monthly payments of $1,611.19 for the
next 20 years. If you refinance to 5.75% but keep making the same payment, this formula computes
how many years you can shave off of the loan (see Figure 11-13):
=(20*12)–NPER(5.75%/12,PMT(7.5%/12,20*12,200000,0),200000,0,0)
The pmt argument is a PMT function that computes the $1,611.19 that you’re paying based on the
terms of your existing mortgage. Subtracting the result from 240 (20 years of 12 months) shows
that you can reduce your mortgage term by 51 months by refinancing under these terms.
Figure 11-13: Calculating the effect of an early loan payoff.
Although NPER can produce fraction results (for example, 4.26 months), you probably
would not make a payment 26% of the way through a month. Instead, you would make
a payment on the fifth month for an amount that’s less than the payments you made
previously.
Calculating the Interest and Principal Components
This section discusses four Excel functions that enable you to
Calculate the interest or principal components of a particular payment.
Calculate cumulative interest or principal components between any two time periods.
The examples in this section are available on the companion CD-ROM in a file named
payment components.xlsx.