In Part I of Credit Default Swaps for Dummies we explained what a single name CDS is. In Part II of Credit Default Swaps For Dummies
we explained how a CDS Index works. In this section we will (try) to
explain how securitization works. This is a precursor to explaining
synthetic CDOs and why they are so hard to price.
Say
you are a savings and loan bank. You take deposits from customers and
you lend these deposits to people who want to buy houses. Over the life
of the residential home loan the borrower will pay you back the
principal on the loan plus interest. Your business is going great but
you find that you have more demand for loans than you have deposits.
You could try to borrow funds in another manner - say by issuing
certificates of deposit (CDs) but there are limits to what you can do
there. You are limited by the equity value of the bank as to how much
you can borrow and lend. You could issue loans to borrowers and then
try to sell the individual loans off to another bank but that can be
very time consuming considering that the purchasing bank is not familiar
with the borrower. What you need is a way to package up those home
loans and sell them off en-masse.
Enter securitization.
You (the bank) form a Special Purpose Vehicle (SPV) which is a entity
legally separate from the bank. The SPV issues debt to investors and
uses the funds from that sale to purchase a pool of home loans from you
(the bank). Over time as the home buyers pay back principal and
interest those cash flows go to the SPV and are distributed to the
investors (debt holders) in the SPV. Any sort of debt can be
securitized in this way. Securitizations of mortgage related debt are
typically known as Mortgage Backed Securities (MBS).
If the mortgages are residential they are known as RMBS and if they are
commercial mortgages then they are known as CMBS. If we are
securitizing non-mortgage assets (like credit card debt, college loans,
car loans, etc) they are known collectively as Asset Backed Securities (ABS).
The
big advantage of this type of structure is if there are many borrowers
in the pool of loans and the events of default are uncorrelated between
borrowers then by the Law of Large Numbers
the realized default rate on the pool should approach the population
mean default rate. This reduces the need to monitor each borrower.
Also instead of one person holding all of those loans the SPV can sell
its debt off in small chunks so that many many investors can each own a
small interest in a diversified pool of loans. So for example I would
not want to take the risk of making one large loan to one borrower but I
would be fine with making a small loan to large pool of borrowers since
I can gauge the approximate default rate on the pool.
The
downsides of this type of structure is (1) post securitization the
originating bank will not have ongoing exposure to the borrowers so they
may be less careful about who they loan to in the first place (2) by
securitizing the loans the bank is no longer responsible for monitoring
(3) it is more difficult to adjust terms of the loan when the loan is
owned by a large pool as opposed to if it were owned by a single bank.
All three of these problems reared their heads during the recent
sub-prime debt crisis.
The structure that we describe
above specified that the SPV payed out the principal and interest cash
flows to its investors - but we did not specify how they get payed out.
The most simple structure is a pass-through security. In this case
each investor gets a share of any repayed interest and principal
proportional to their investment in the SPV. Cash flows "pass through"
the SPV directly and proportionally to investors.
In
practice though the SPV can issue multiple classes of debt where each
class has a claim on different portions of the cash flows. When the
underlying pool is made up of residential mortgages this structure is
known as a Collateralized Mortgage Obligation (CMO). When the underlying pool contains non-mortgage debt the structure is known as a Collaterized Debt Obligation (CDO).
Four Popular CMO Structures
The
most simple CMO structure is the sequential pay structure. In this
structure the SPV creates multiple classes of debt; call them
A,B,C,D,...Z. An initial amount of principal is allocated to each
class. When borrowers start paying back principal initially 100% of the
principal payments (and prepayments) are allocated to the A class.
After the principal of the A class is fully payed off then the B class
starts receiving all principal payments (and prepayments). After the
principal of the B class is fully payed off then all principal payments
(and prepayments) go to the C class...This pattern continues until all
principal is paid off and the Z class is retired. As we move through
time each class receives interest payments proportional to the amount of
principal still outstanding for that class.
Why would
you want to structure a bond like this? It allows lenders to provide
funds to the mortgage market but gives them some control over when those
loans will be paid off. Say you are a lender who wants to lend for
five years. If you look at the entire universe of 30 year fixed rate
mortgages most will be payed off at more than five years but a few will
be payed off faster. How do you target getting payed back in five
years? If you want to loan fairly short term then you purchase an A
class. If you want to lend long term then you purchase a Z class.
Because the CMO pools a large number of mortgages the percent of the CMO
that gets payed off in the first five years should mimic the population
average (so says the Law of Large Numbers).
The
sequential pay structure works well so long as interest rates stay
fairly constant...however if after the CMO is issued interest rates fall
we can run into a problem called prepayment risk. When a lender makes a
mortgage loan to a homeowner he expects to receive
a fixed interest rate and principal payments for the term of the loan.
However if interest rates were to fall substantially then the homeowner
could choose to refinance his mortgage at the lower interest rate and
pay off the principal of the original mortgage loan. This leaves our
lender with cash to loan again but interest rates are now lower. Some
lenders would be willing to loan to the mortgage market but want to
avoid prepayment risk. To solve the problem of prepayment risk two
types of structures were created; IO-POs and PACs.
In
the IO-PO structure the SPV issues two different classes of debt IO
(Interest Only) and PO (Principal Only). All interest payed to the SPV
goes to the investors holding the IO class of debt and all principal
payed to the SPV goes to investors holding the PO class of debt. If
interest rates fall substantially then homeowners refinance their loans
and pay off their principal to the CMO pool early. This turns out be
good for the PO class. Why? Because the POs were not getting any
interest payments anyways. They want to get their money back as soon as
possible so they can loan it again. But it is bad for the IOs -
because they bought their class of bonds with the expectation of getting
a sequence of interest payments - and since the principal got paid off
early the IOs are not going to get all the interest that they expected.
This makes the price of IO and PO classes extremely sensitive to the
level of interest rates.
A better solution for the
prepayment problem is called a Planned Amortization Class (PAC). In
the PAC structure the SPV creates two classes of debt; a PAC class and a
companion (aka support) class. Each class is allocated an initial
principal amount. The PAC is promised a fixed series of cash flows.
The companion class absorbs all prepayments (up to some level). Each
class receives interest on the portion of her principal still
outstanding. In return for distributing the prepayment risk in this
manner the PAC receives a lower yield than a straight pass-through would
and the support class receives a higher yield than a straight
pass-through would.
A fourth type of CMO is referred to
as credit tranching.
Credit tranching was created to solve the following problem. Some
lenders may have cash to lend to the mortgage market but they do not
want to be exposed to potential homeowner mortgage defaults. In the
credit tranche structure the SPV issues multiple classes of debt with a
hierarchical structure (super-senior, senior, mezzanine, junior, equity,
etc..). Each class of debt gets allocated a share of principal. The
most junior class of debt will absorb all
defaults until the principal of that class is depleted. After the
principal of the most junior class is exhausted then the next most
junior class will absorb all defaults until the principal of that class
is depleted
and so on. The lower is a class in the hierarchy the higher the yield
that it will receive but the more default risk it will be exposed to.
The most senior tranches will be exposed to very little default risk but
in return they receive the lowest yield.
CDOs have
analogous structures but the underlying pools are non-mortgage debt
(credit cards, auto loans, corporate debt, school loans, etc..). One
type of CDO of particular interest is created by credit tranching a pool
of corporate debt. We will look at this case more in depth in the next
section.
If my explanations were still a bit unclear, this presentation gives some examples. Here is another presentation of similar material.
1 comment:
It looks like the Chancellor of the Exchequer will announce a new system of grading mortgages available in Britain. Mortgages that are considered the least prone to fail will be given an official seal of government approval.
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mortgage securitization
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