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February 22, 1999, Revised
November 24, 2006, October 25, 2007
For those who can afford the higher payment, the 15-year mortgage
builds equity much more rapidly than a 30, reflecting both the shorter term
and a lower interest rate. Many borrowers who take a 30 and make extra
payments, would have done better with a 15. Those who take a 30 to invest
the cash flow difference have to earn a high return to make it pay.
Longer
Terms Reduce Payments, Shorter Terms Increase Wealth
"We
can afford the payment with a 15-year mortgage at 6.75%, but the 30-year
at 7% will give
us more flexibility. What do you think?"
Borrowers who have the luxury of
choosing between 30 and 15-year terms must decide whether they are payment-minimizers
or wealth-maximizers. The first group is concerned mainly with
the present, the second with the future.
The mortgage payment on a $100,000
30-year loan at 7% is $665 while on a 15-year loan at 6.75% it is $885.
The lower payment on the 30 is certainly attractive.
On the other hand, after 5 years
the borrower who took out the 15-year loan has repaid $22,933 while the
borrower who took out the 30 has repaid only $5,868. That amounts to a
difference in wealth accumulation of $17,065. To me, that’s even more
attractive; I’m a wealth-maximizer.
The
Flexibility of the 30 May Prove Illusory
The "flexibility" that
you mention as the advantage of the 30-year loan is really the freedom to
spend the difference in payment on other things. Yet I am amazed at how
many borrowers elect the 30-year option to obtain this freedom, then find
that they really don’t want it after all! After a few years of being
homeowners, they discover that what they really want is to build equity
more quickly than the 30 provides. They discover, in other words, the
relevance of the future.
At this point some of those who
took out 30-year loans begin systematically making additional monthly
payments to build equity faster. Of course, they would have been
better off taking the 15-year at the outset and enjoying the lower
interest rate, but better late than never.
Buying
the Discipline to Increase Payments
Some of these restive borrowers
are not able to muster the self-discipline that a voluntary savings plan
requires. These are the ones who are attracted to the biweekly payment
plans that are offered by many lenders and third party vendors. Under a
biweekly plan, instead of one monthly payment, the borrower pays half the
monthly payment every two weeks. This results in 26 payments a year, which
is the equivalent of 13 monthly payments instead of 12. The extra payment
every year builds equity faster.
Since the biweekly involves a
contractual commitment by the borrower, it provides a discipline that the
self-designed plans do not have. The borrower pays for this discipline in
the form of an up-front fee and in lost interest on the accelerated
payment. These are additional costs the borrower could have avoided by
taking out the 15-year loan at the outset.
Investing the Cash Flow Savings on the 30
There is one situation where a
wealth-maximizing borrower who can afford the payment on a 15-year might
nevertheless select the 30. A borrower with attractive investment
opportunities, such as a family business or the stock market, might select
a longer term and invest the difference in the mortgage payment in
high-yield investments. This is the possibility referred to in the letter
that follows:
"I have decided to
take a 30-year loan rather than a 15 because I can invest the difference
in payment at 10%. Since I am only paying 7% on the 30…I must end up
ahead. Is there anything wrong with my logic?"
Your logic would be sound if the
interest rates on the 30 and 15 were the same. But since the interest rate
on the 30 is higher, you have to stay with it long enough for the high
earnings on the difference in the payment to offset the loss from the
higher mortgage rate.
The table below shows the return you
need to earn by investing the payment different between the 30 and 15, just
to break even. To come out ahead, you must earn more. The required return is
higher if the rate difference between the 30 and 15 is .5% rather than .25%,
and it is higher when the down payment is smaller because mortgage insurance
premiums are larger for 30s than for 15s. These numbers are from my
calculator 15b,
Mortgage Term Calculator: Investing the Cash Flow Savings on a Longer-Term
Mortgage.
Required Rate of Return
|
Mortgage
Features |
5
Years |
10 Years |
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Rates on the
30/15: 6.75% and 7% |
|
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20% Down |
10.13% |
8.3% |
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Zero Down |
14.13% |
12.10% |
|
|
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Rates on the
30/15: 6.5% and 7% |
|
|
|
20% Down |
13.32% |
9.64% |
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Zero Down |
17.5% |
13.6% |
Not only do you need patience if
you take this route, but you must have confidence in your investment
acumen – low-risk investments that yield 10% or more are not easy to
find. In addition, you need the self-discipline required to invest the
difference in payment each and every month. If you don’t have the
required patience, confidence or discipline, take the 15-year loan.
For further discussion, see
Is There a Yield on a
Shorter Mortgage Term?
Copyright Jack Guttentag 2007
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