January 5, 2004, Reviewed July 9, 2007,
March 2, 2011
"What are the benefits/drawbacks of a simple interest loan versus a
traditional mortgage? Which would you take if offered the choice?"
I would select a traditional mortgage. If two loans are exactly the same
but one is simple interest, you will pay more interest on it unless you
systematically make your monthly payment before the due date.
The major difference between a standard mortgage and a simple interest
mortgage is that interest is calculated monthly on the first and daily
on the second.
Consider a 30-year loan for $100,000 with a rate of 6%. The monthly
payment would be $599.56 for both the standard and simple interest
mortgages. The interest due is calculated differently, however.
On the standard mortgage, the 6% is divided by 12, converting it to a
monthly rate of .5%. The monthly rate is multiplied by the loan balance
at the end of the preceding month to obtain the interest due for the
month. In the first month, it is $500.
On the simple interest version, the annual rate of 6% is divided by 365,
converting it to a daily rate of .016438%. The daily rate is multiplied
by the loan balance to obtain the interest due for the day. The first
day and each day thereafter until the first payment is made, it is
$16.44.
The $16.44 is recorded in a special accrual account, which increases by
that amount every day. No interest accrues on this account. When a
payment is received, it is applied first to the accrual account, and
what is left over is used to reduce the balance. When the balance
declines, a new and smaller daily interest charge is calculated.
How does this work out for the borrower? We know that a standard 30-year
mortgage pays off in 30 years. Beginning January 1, 2004, this amounts
to 10,958 days. On a loan of $100,000 and an interest rate of 6%, total
interest payments amount to $115,832.
On the simple interest version of the same mortgage, assuming you pay on
the first day of every month, you pay off in 10,990 days, or 41 days
later than with the standard mortgage. Total interest payments are
$116,167 or $335 more.
These are small differences, due largely to leap years. Over the 30
years beginning 2004, there are 8 years with 366 days, and the lender
collects interest for those days. Leap years do not affect total
interest payments on a standard mortgage.
The disadvantage of a simple interest mortgage rises with the interest
rate. At 12%, and continuing to assume payment on the first day of every
month, it pays off in 11,049 days or 91 days later than the standard
mortgage. Total interest is $3082 higher.
But the borrowers who really get clobbered by the simple interest
mortgage are those who pay late. The standard mortgage has a grace
period within which borrowers can pay without penalty. On a simple
interest mortgage, in contrast, borrowers pay interest for every day
they are late.
Suppose the borrower pays on the 10th day of every month, for example.
With a standard mortgage, he gets a free ride because of the grace
period. With a simple interest mortgage at 6%, he pays off 101 days
later than the standard mortgage and pays $1328 more interest. At 12%,
he pays off 466 days later and pays $15,137 more interest.
Penalties for payment after the grace period work the same way on both
types of mortgage. For this reason, I have not included penalties in the
calculations.
Borrowers making extra payments also do better with a standard mortgage.
Most lenders will credit extra payments received within the first 20-25
days of the month against the balance at the end of the preceding month.
A borrower who pays $1,000 extra on day 20, for example, will save the
interest on that $1,000 for 20 days. With a simple interest mortgage, in
contrast, interest accrues for those 20 days.
The only transaction that works out better for the borrower with a
simple interest mortgage is monthly payments made early. If every month
you pay 10 days before the payment is due, for example, you pay off 40
days sooner than the standard mortgage at 6%, and 254 days earlier at
12%. There is no benefit to early payment on a standard mortgage, since
it is credited on the due date, just like a payment that is received 10
days late.
Bottom line: other things the same, take the standard mortgage. But if
you are stuck with a simple interest mortgage, make it a habit to pay
early; it will pay big dividends.
Days to Payoff and Total Interest Payments on a Standard Mortgage and
Simple Interest Mortgage of $100,000 for 30Years Beginning January 1,
2004
Standard Mortgage, Payment Within Grace Period | Simple Interest Mortgage | |||
Payment 10 Days Early | Payment on First Day of Month | Payment 10 Days Late | ||
Days to Payoff | ||||
6% Loan | 10,958 | 10,918 | 10,990 | 11,059 |
12% Loan | 10,958 | 10,704 | 11,049 | 11,424 |
Total Interest | ||||
6% Loan | $115,832 | $115,180 | $116,167 | $117,160 |
12% Loan | $270,277 | $261,889 | $273,359 | $285,414 |