A mortgage is more than a monthly payment — it is a debt instrument used to finance an asset.

On a household's balance sheet, a mortgage is a liability and, as such, it is subtracted from a household's assets to determine that household's net worth. Too many consumers fall into the trap of refinancing a mortgage in order to lower their monthly payments without considering how that refinancing affects their total net worth. Does refinancing your home ever pay off, or is it just a short-term fix to a bigger problem?

**SEE: Investopedia's Net Worth Tracker **

## The Payback Period

The most popular method for determining the economics of mortgage refinancing involves calculating a simple payback period. This equation is made by calculating the sum of the monthly payment savings that can be realized by refinancing into a new mortgage at a lower interest rate and determining the month in which that cumulative sum of monthly payment savings is greater than the costs of refinancing. (Find out more about payback periods in *Understanding The Time Value Of Money*.)

For example, if that calculation says that it will take 20 months for the cumulative monthly savings to be greater than the costs of refinancing and the homeowner will hold the new mortgage for a minimum of 20 months, then this method would say that refinancing is an economically wise decision.

**Refinancing Affects Your Household's Net Worth**

However, this simple payback period method ignores the household's balance sheet and the total net worth equation.

Two primary things are unaccounted for:

- The principal balance of the existing mortgage versus the new mortgage is ignored. Refinancing is not free. The costs of refinancing must be paid out of pocket or, in most cases, are rolled into the new mortgage's principal balance. When a mortgage balance increases through a refinance transaction, the liability side of the household balance sheet increases and all other things being constant, the household net worth immediately decreases by an amount equal to the cost of refinancing.
- Refinancing a 30-year mortgage with 25 years left until it is paid off into a new, 30-year mortgage means that you might end up paying more total interest over the life of the new mortgage, even though the interest rate on the new mortgage is lower than you would pay over the remaining 25 years of the existing mortgage.

## Look at the True Costs of Refinancing

A more financially sound way to determine the economics of refinancing that incorporates the true costs of refinancing into the household net worth equation is to compare the remaining amortization schedule of the existing mortgage against the amortization schedule of the new mortgage. (Find out more about amortization in * Understanding The Mortgage Payment Structure*.)

The amortization schedule of the new mortgage will include the costs of refinancing in the principal balance. (If the costs of refinancing will be paid out of pocket, then the same dollar amount should be subtracted from the existing mortgage's principal balance based on the assumption that if the refinance transaction does not take place, that money could be used to pay down the principal balance of the existing loan.)

Then, subtract the monthly payment savings between the two mortgages from the new mortgage's principal balance. (This is done because, in theory, you could use the monthly savings generated from refinancing to reduce the principal balance of the new mortgage.)

The month in which the modified principal balance of the new mortgage is less than the principal balance of the existing mortgage is the month in which a truly economical refinancing payback period based on household net worth has been reached.

Note: Amortization calculators can be found on most mortgage-related websites. You can copy and paste the results into a spreadsheet program and then perform the additional calculation of subtracting the monthly payment differences from the new mortgage's principal balance.

For example, using the above-described calculations, a refinance analysis of an existing fixed-rate mortgage with an interest rate of 7%, 25 years remaining until repayment and a principal balance of $200,000, into a new 30-year mortgage with an interest rate of 6.25% and refinancing costs of $3,000 (which will be rolled into the new mortgage's principal balance), gives the following results:

If a simple payback period analysis is used to determine the economics of refinancing in the above example, the cumulative monthly payment savings are greater than the $3,000 costs to refinance beginning in month 19. In other words, the simple payback period method tells us that if the homeowner expects to have the new mortgage for 19 or more months, refinancing makes sense.

However, if the net worth approach is used, the refinancing decision would not become economical until month 29, when the principal balance of the new mortgage minus the cumulative monthly payment savings is less than the principal balance of the existing mortgage. The net worth approach tells us that it takes ten months longer than the simple payback period approach before the refinancing is economical.

## The Bottom Line

By calculating the true economics of refinancing your mortgage, you can accurately determine what real payback period you have to contend with if you choose to do this. Crunching the numbers takes a bit of work, but it's entirely possible for everyone to do. Especially if you are planning on moving shortly, taking a few minutes to calculate the true economics of refinancing your mortgage may very well help you avoid damaging your net worth by thousands of dollars.

To learn more about refinancing and paying your mortgage in *Seven Common Financial Mistakes* and *Paying Off Your Mortgage*.