| 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?
Copyright Jack Guttentag 2008
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