October 21, 2002, Revised January 13, 2003, October 15, 2007, February
4, 2008
The simple interest biweekly mortgage (SIBW) has a very small advantage
over a standard biweekly or a "13/12 roll-your-own", where the borrower
increases the monthly payment by 1/12 of the payment every month. The
price charged by Primerica for its SIBW is far in excess of what it is
worth.
"How much more valuable is a simple-interest biweekly mortgage than a
standard biweekly?"
Not much, as I will demonstrate.
Standard Versus Simple Interest Biweekly
On a standard biweekly (SBW), borrowers pay half the monthly payment
every two weeks. Over the course of a year, they make 26 half payments,
which is the equivalent of 13 full payments. That extra monthly payment,
however, isn’t credited to the borrower’s account until the 12th month.
The account is credited with monthly payments for the first 11 months,
and with a double payment in the 12th month. The process repeats in each
subsequent year.
On a simple-interest biweekly (SIBW), in contrast, each half-payment is
credited to the borrower’s account immediately. In contrast to a SBW,
which only credits payments once a month, an SIBW credits payments every
two weeks. This accelerates the reduction in the loan balance, which
results in an earlier payoff and reduced total interest outlays.
As an example, lets look at a 30-year fixed-rate mortgage of $100,000 at
6%. Without modification, this mortgage would, of course, pay off in 360
months, and total interest payments would be $115,832. Converted into an
SBW, it would pay off in 295 months and have total interest payments of
$91,927. If instead it is converted into an SIBW, it would pay off in
294.5 months and total interest payments would be $91,022.
The difference of $905 in interest payments between the two biweeklies
is very small when one considers that it covers 30 years. One way to put
it in perspective is to ask, what interest rate on the SIBW would
provide the same interest payments and month of payoff as the SBW? The
answer is 6.063%. A borrower should be indifferent between a 6% SBW and
a 6.063% SIBW.
Simple Interest Biweekly Versus a 13/12
The advantage of a SIBW is reduced even more if, instead of being
compared to a SBW, it is compared to a "13/12 roll-your-own" extra
payment scheme. In this scheme, which is completely under the borrower’s
control, the borrower adds 1/12 of the monthly payment to the payment
every month.
A 13/12 would pay off in 295 months, with interest payments of $91, 279.
Interest payments are a little smaller than on the SBW because the 1/12
extra payment is credited every month.
Interest payments are a little higher on the 13/12 than on the SIBW
because of the difference between crediting payments monthly and
crediting them every two weeks. The difference, however, is altogether
trivial. Let’s ask the same question we asked before --how much higher
could the interest rate go on the SIBW before it lost its advantage over
the 13/12? The answer is 6.018%.
The calculations above assume all payments are made on the due date. But
in practice many borrowers pay late. On a standard monthly payment
mortgage, payments can be made up to the 10th or the 15th day of the
month without any cost. A SIBW, in contrast, accrues interest daily,
which means that the borrower pays interest for every day that the
payment is late. If they pay early, of course, they save interest, but
this is less common.
The Primerica SIBW
As noted above, a borrower who wants to accelerate repayment would find
a 13/12 plan on a 6% standard loan equivalent to a SIBW at 6.018%. Both
would pay off at the same time, with the same interest savings relative
to the standard loan without any extra payments. Yet Primerica would
offer this loan at about 8% and claim that it would save the borrower
money.
What is their argument? One thing they do is to compare total interest
payments on their higher-rate SIBW with total interest payments on the
standard mortgage. These comparisons show lower payments on the SIBW,
because the SIBW requires 13 payments a year and the standard mortgage
only 12. They do not compare their SIBW with a standard biweekly or a
13/12, which are comparable to the SIBW in having 13 payments a year,
because it would reveal the Primerica SIBW to be a big loser.
Another thing they do is to distort the way a standard mortgage works to
make it appear that the SIBW amortizes in a way that is more favorable
to the borrower. A borrower who was subjected to a pitch from a
Primerica loan officer reported it to me as follows:
"The way a traditional mortgage works, every time you pay off any extra
principal, nothing is recalculated – extra payments are only chipped off
the tail end of the loan…The way our approach works, every time you make
a payment, the entire loan is reamortized… So with each and every
payment, you’re paying interest on less principal…The reason we charge a
higher interest rate is because we’re putting so much money back in your
pocket."
The description of how "a traditional mortgage works" is flat-out wrong.
I once heard about a small credit union that held a borrower’s extra
payments until they were large enough to pay off the balance, but this
is extremely rare. The overwhelmingly dominant practice is to credit
extra payments on a monthly basis, as I assume in my spreadsheets.
The SIBW might have a little added value to a borrower who has
fluctuating income and wants to make extra payments whenever income
becomes available. With a SIBW, the borrower can get immediate credit
whereas on other loans, credit is deferred until the end of the month.
Borrowers of this type should explore the CMG mortgage, which has the
same feature but is not over-priced. See
The CMG Plan: Your Mortgage as a Checking Account.
Note: All the numbers referred to above were derived from the
spreadsheet
Biweekly Mortgages.
For more on this topic, read
Does Refinancing at a Higher Rate Make Sense?