[net.taxes] 15Yr vs 30YR Mortgages

rdr@inuxh.UUCP (Robert Rindfuss) (03/13/86)

Should you get a 30 year mortgage or a 15 year mortgage?
In the past year or so, I've seen and heard so much misleading information
about 15 yr vs 30 yr mortgages I'm about sick.  It's no wonder everyone
is confused. One guy on TV (John J. Givens) is telling you to always take
a 15 year, because over the long run the total amount you'll pay is so much
less.  He even suggests that the banks and S&Ls are perpetrating
a scam by "hoping you'll never find out just how much money you'll
save if you take the 15 year loan."  Then you go talk to your
tax accountant and he tells you to take the 30 year loan since the interest
you would get to deduct each year with the 15yr loan would decrease more
rapidly than with the 30 year loan.  I even heard Stuart Varney on
CNN's "Your Money" program claim that even if you currently have an old
8% loan, you could be better off refinancing today at 9 1/2% because with
a new loan most of the payment would be interest and you could actually
wind up with a lower after-tax out-of-the-pocket payment. (What he didn't
tell you is that you'll be making those payments for years and years until
that new loan is paid off, while if you stayed with the 8% loan you're
probably close to being paid off now.)

Well, I just bought some investment property and had to make the same decision.
I spent quite a while with the computer comparing the alternatives to see
who was right, and the results were rather surprising, to me anyway.  Hopefully
I can dispel some of the myths floating around.

First, you really have two questions here: whether to sign a 15 or 30 year
loan, then how fast to actually pay it off.  Today, nearly all loans issued
have no prepayment penalty.  This means even if you get a 30yr loan, you are
allowed to make the same payments as you would have with the 15yr loan, and if
you did you would pay the loan off in 15 years.  So answering the first
question is easy - go shopping for the best rate and points you can find on
both loans; if the two are comparable, get the 30 year.  You can always pay
it off at the 15yr rate if you decide to, but you're not obligated to.

Deciding how fast to pay it off is not so easy.  To compare the two, consider
a $75,000 loan at 10% interest.  The monthly payment for the 30yr loan would
be $658.18.  Over the life of the loan you would pay $236,944, all but $75,000
of it interest.  With a 15yr loan, the payment would be $805.95, total of
payments would be $145,071.  When you compare the payment totals, it's easy
to see why Givens thinks the 15yr is such a better deal - you've saved $91,873
in interest payments over the life of the loan.  That's a 39% savings in
payment totals for only a 22% increase in the monthly payment.  Put another
way, you invested an extra $147.77 each month for 180 months ($26,599) and
got $91,873 in return. Sounds good? I can make it sound even better.
Suppose you just pay $10 a month extra on that 30yr loan.  You'll pay it off
in 27yrs and 6 mos - a savings of $19,086 for a total investment of $3310
spread over time.  Still not impressed?  Try this: on the first payment of the
30yr loan pay $100 extra.  That's it - a one-time $100 investment.  You'll
pay off the loan almost 3 months early, saving $1953 dollars.  That's almost a
20 times payoff on your $100!

These seem like fantastic deals, but are they?  If you have a business
calculator, calculate the rate of return on that $100 investment that
returned $1953 in 357 months. Guess what - it's 10%!  Exactly the interest
you're paying on your loan.  How about the $10 per month that returned
$19,086?  Again, it's 10%.  And what about the $91,873 savings you got by
paying an extra $147.77 per month and paying it off in 15 years?  Had you
instead invested the $147.77 in a bank account at 10% APR (compounded monthly)
you would have exactly enough in the account at the end of 15yrs to pay off
the loan, and thus you save the same $91,873 (the last 180 payments at 658.18
minus the 147.77 * 180 you invested).  What this means is this: if you're
deciding between a 15yr payoff, vs a 30 yr payoff and investing the difference,
the choice simply depends on whether you can invest the difference at a higher
rate than your loan rate.  If you can, pay the loan off at the 30 yr rate
and invest the difference.  If you can't, pay off the loan as fast as you can,
because every dollar extra you pay on the loan is a dollar making interest
equal to your loan rate, guaranteed, until you pay off the loan, or sell the
house.  Obviously, even if you can get higher interest rates than your loan
rate, but you don't have the discipline to make the investments, take the
15yr loan - it's a safe, relatively high-yield forced savings plan.

But how is all this affected by taxes?  On the surface, the 30 year loan
looks like the way to go.  On the $75,000 loan at 10% you would get to
deduct a total of $7481 the first year, $72,185 during the first 10 yrs,
and $161,945 over the loan life.  On the 15 year loan, you deduct $7398
the first year, $59,647 during the first 10 years, and only $70,072 during
the life of the loan.  If you multiply those numbers by your marginal tax
bracket you get your actual tax savings.   Do tax considerations make the
30yr loan the obvious way to go?  Not really.  If you're comparing paying a loan
at the 15 yr rate vs paying at the 30yr rate and investing the difference,
THE TAXES ACTUALLY HAVE NO EFFECT.  The reason is this: suppose you invest
the difference between the 15yr payment and the 30yr payment at the same
rate as your loan.  With the 30 year loan, you will be getting a bigger
tax break than with the 15 yr, and the difference will get bigger each year.
But remember, with the 30yr loan you're investing the difference, and that
investment earns interest and interest (usually) gets taxed.  Guess what...
the greater tax break you get from the 30yr payoff exactly equals the tax
you pay on your investment account.  So once again, the decision whether
to pay your loan off fast, or pay it slow and invest the difference depends
on whether you can get more interest on your investment than you're paying
on your loan.  THERE ARE SOME IMPORTANT POINTS HERE, THOUGH, THAT SHOULD
NOT BE OVERLOOKED.  1. If you opt to pay slow and invest the difference, you
will be getting a larger tax break each year than you would with the 15yr.
That difference must be faithfully transferred to your investment account
each year to replace the interest that Uncle Sam taxed away.  2. Alternatively,
put your investment account somewhere that is not taxed, such as a municipal
bond.  Do this and you get to keep the 30yr loan's bigger tax break.  If
you can do this, then you will very likely be better off with the 30yr
payoff.  3. If you opt to pay the loan off fast, the extra dollars you are
investing are effectively earning your loan rate of interest TAX DEFERRED. 
The interest that's "accumulating" is returned to you in the form of payments
you won't have to make in years 15-30.  That money will then be ordinary
income and will be taxed at that time.  You may, however, decide to buy
another house and continue to effectively defer the taxes even more.

You may wonder how all this is affected if you sell your house before
you pay off the loan.  Again, whether you pay fast, or pay slow and invest
the difference, it'll all depend on the return you can get on your investment.
It works like this:  if you had taken the 15yr loan, your equity would be
greater when you sold than with the 30yr loan.  But then, with the 30yr
loan you would have money accumulated in an investment account.  Guess what -
if the earning rate on your investment was the same as your mortgage rate,
and you've been faithfully replacing the interest that Uncle Sam taxed
from it each year with the 30yr loan's bigger tax break, the account balance
plus your 30yr loan equity would exactly equal the loan equity of a 15yr loan.

So where does this all leave us?  First of all, unless the rate or points
on a 15yr loan is much less than a 30yr, take the 30 yr loan.  You will
then have the flexibility to decide how fast to pay off the loan.

Second, if you feel you cannot invest money for a rate of return that's
greater than your loan rate, pay off the loan as fast as you can.  You'll
effectively be earning your loan rate of return on every extra dollar you
pay, and the earnings are effectively tax-deferred until you sell the
house or pay off the loan.  On the other hand, if you have the discipline
and savvy to get a better yield on your investments than the loan rate,
pay the loan as slow as possible and invest the difference.  If these
earnings will be taxed, you must replace the lost interest with the
extra tax break you get from the longer term loan.  It won't matter what
tax bracket you're in - if the investment earns your loan rate, the amounts
will be equal.  If possible, however, put the money where it's earnings won't
be taxed, such as a municipal bond.  That way you can keep the greater tax
savings of the longer term loan.  This will be of increasing advantage as
the loan progresses, and as your tax bracket increases.

If you're going to sell in a few years, there is one more consideration
that should be made when the interest rates are low like
they are right now.  If you think that interest rates will go up, it is very
much to your advantage to get a long term (30yr) assumable loan. When
you sell, the buyer will assume your loan balance at your low rate, plus
take a second mortgage at a much higher rate to make up the balance of the loan.
If the combined rates of the two loans (called the blended rate) is still
lower than the going rate, the buyer can afford to pay more for your house
because he will be making the same monthly payment as if he was getting
a new loan at a higher rate but on a lower price house.  The key here is
keeping the your loan balance high, so his second mortgage will be small,
and the resulting blended rate will be low.  The longer you pay off a loan
the higher the loan balance will be at any time during the loan.


						Bob Rindfuss
						AT&T Consumer Products
						Indianapolis

mark@umcp-cs.UUCP (Mark Weiser) (03/16/86)

In article <403@inuxh.UUCP> rdr@inuxh.UUCP writes:
>
>Should you get a 30 year mortgage or a 15 year mortgage?

Wow, this was an impressive amount of information, all accurate so
far as I could tell (I'm no expert).  But it left out the one thing most
missing from most financial advice: intangible state-of-mind.

Some financial advisors claim to take into account the degree of
"risk aversion" of their client, but this can still be turned into
dollars and cents.  What I'm talking about is how *good it feels*
to own your own house free and clear after 15 years, even if you waste
money getting there.  I chose it, and while I attempted to justify
it financially to be sure I wasn't taking too much of a bath, it came
down to how good it felt.

As Herb Simon won the Nobel prize in economics for saying, human beings are
not rational calculators of rewards, we "satisfice" instead.
-mark
-- 
Spoken: Mark Weiser 	ARPA:	mark@maryland	Phone: +1-301-454-7817
CSNet:	mark@umcp-cs 	UUCP:	{seismo,allegra}!umcp-cs!mark
USPS: Computer Science Dept., University of Maryland, College Park, MD 20742

john@hp-pcd.UUCP (john) (03/17/86)

<<<<<<
<
<  What I'm talking about is how *good it feels* to own your own house 
<  free and clear after 15 years, even if you waste money getting there.
<
The only way to waste money by opting for a 15 yr over a 30 yr loan is 
if interest rates rise to greater than your loan. If you had a 30 yr loan
and invested what you saved with the lower payments then after 15 yrs this
investment would be large enough to pay off your home in full.




John Eaton
!hplabs!hp-pcd!john

sjc@lambda.UUCP (Sandy J. Cifrodelli) (03/21/86)

I would like to thank all of those who
responded to this subject either in the
net or in personal mail to me.

I really learned a lot from all of you out there.

By the way,
I refinanced my house and took the 30 YR loan.

Sandy