None of the several answers (including the accepted answer) to this question have brought up an important issue, and so I am resurrecting this question.
A mortgage is a contract between the lender and the homeowners, and,
unless the mortgage specifically says so to the contrary, the mortgage
terminates and the entire balance becomes due upon the death of either
of the co-owners. Death also changes the income stream supporting the
mortgage payments, and so unless the mortgage specifically says that it
survives the death of one co-owner and the other(s) can continue making
the mortgage payments, the whole amount is due. Many lenders require
termination upon death because of the changed circumstances, and while
they may be amenable to putting a new mortgage in place for the surviving co-owner(s), that is a whole separate transaction, and the terms will
depend on the new FICO score etc. A grieving spouse may also have to
put up with many more hassles to get a new mortgage, etc.
Thus, for many reasons, many people think it best to have enough
insurance to pay off the mortgage entirely and have the spouse
not have to worry about mortgage payments in addition to all the
other problems of running a household as a single parent. Naturally,
an insurance policy that pays $200K in a lump sum tomorrow is going
to be more expensive than one that becomes an annuity tomorrow
and pays the monthly mortgage payment amount over (say) the
next 20 years.
There are term life insurance policies available (not necessarily
through your lender and not necessarily where the beneficiary is
the lender) that charge
a level premium over the duration of the mortgage, and whose
face value (death benefit) is a reducing amount that closely
matches the balance still owing on the mortgage. Those who
have looked at the amortization schedule given to them by the
lender will know that the amount owing on the mortgage decreases
very slowly at first and rapidly towards the end: the face
value follows much the same schedule. Because the
premiums are the same for each year, the policy holder overpays
in some years and underpays in other years in comparison to a
pure term life insurance policy, but with the mortgage
insurance policy, there are no issues about
medical exams or renewability or the rates that might be
charged for future renewals. Most term life insurance policies have
terms of one, two, maybe five years, and have to be renewed,
usually at a different premium which might or might not
be guaranteed at the time the initial policy is issued.
So, read your mortgage contract before deciding on what
insurance you want to get to help your family pay the mortgage
after you are gone.
My personal recommendation would be to pay off the mortgage
in full rather than have it drag on (even if that is permitted
by the mortgage contract). You don't necessarily have to
get a decreasing term life insurance policy; just make sure
that you have enough insurance to (a) pay off the mortgage
right away instead of over 30 years, and (b) support your
family. It is also worth remembering that family support
will require less money per month. For many people, the
mortgage payment is a substantial part of the monthly
expenses.