Wednesday, September 7, 2011

Mortgage backed Securities

Mortgage-backed security


A mortgage-backed security (MBS) is an asset-backed security whose cash flows are backed by

the principal and interest payments of a set of mortgage loans. Payments are typically made

monthly over the lifetime of the underlying loans

However not all securities backed by mortgages are considered mortgage-backed securities.

Housing Bonds (Mortgage Revenue Bonds) are backed by the mortgages which they fund, but

aren't MBSs.

Residential mortgages in the United States have the option to pay more than the required

monthly payment (curtailment) or to pay off the loan in its entirety (prepayment). Because

curtailment and prepayment affect the remaining loan principal, the monthly cash flow of an

MBS is not known in advance, and therefore presents an additional risk to MBS investors.

Commercial mortgage-backed securities (CMBS) are secured by commercial and multifamily

properties (such as apartment buildings, retail or office properties, hotels, schools, industrial

properties and other commercial sites). The properties of these loans vary, with longer-term

loans (5 years or longer) often being at fixed interest rates and having restrictions on

prepayment, while shorter-term loans (1-3 years) are usually at variable rates and freely prepayable.

History

In 1938, a governmental agency named the National Mortgage Association of Washington was

formed and soon was renamed Federal National Mortgage Association (FNMA or Fannie Mae). It

was chartered by the US government as a corporation which buys Federal Housing

Administration (FHA) and Veterans Administration (VA) mortgages on the secondary market,

pools them, and sells them as "mortgage-backed securities" to investors on the open market.

FNMA was privatized in 1968 as a "government sponsored enterprise" listed on the stock

exchange.

Additionally, the 1970 Emergency Home Finance Act created a new secondary mortgage market

participant, the Federal Home Loan Mortgage Corporation (FHLMC or Freddie Mac) to support

conventional mortgages originated by thrift institutions. The Act also allowed FNMA to buy

conventional mortgages in addition to FHA & VA.

Freddie Mac competed in the secondary market, where Fannie Mae had enjoyed a monopoly.

Market size and liquidity

Mortgage backed securities can be considered to have been in the tens of trillions, if Credit

Default Swaps are taken into account.

The total market value of all outstanding mortgages at the end of the first quarter of 2006 was

approximately USD 6.1 trillion, according to The Bond Market Association. This is much larger

than the market value of outstanding asset-backed securities. The MBS market overtook the

market for US Treasury notes and bonds in 2000.

According to The Bond Market Association, gross U.S. issuance of agency MBS was:

 2005: USD 967 billion

 2004: USD 1,019 billion

 2003: USD 2,131 billion

 2002: USD 1,444 billion

 2001: USD 1,093 billion

The high liquidity of most mortgage-backed securities means that any investor wishing to take

a position need not deal with the difficulties of theoretical pricing described below; the price

of any bond is essentially quoted at fair value, with a very narrow bid/offer spread.

Reasons (other than speculation) for entering the market include the desire to hedge against a

drop in prepayment rates (a critical business risk for any company specializing in refinancing)

and certain predatory lending schemes.

Structure and features

Weighted-average maturity

The weighted-average maturity (WAM) of an MBS is the average of the maturities of the

mortgages in the pool, weighted by their balances at the issue of the MBS. Note that this is an

average across mortgages, as distinct from concepts such as weighted-average life and

duration, which are averages across payments of a single loan.

To illustrate the concept of WAM, let's consider a mortgage pool with just three mortgage loans

that have the below mentioned outstanding mortgage balances, mortgage rates, and months

remaining to maturity.

Loan Outstanding Mortgage

Balance

Mortgage

Rate

Remaining Months to

Maturity

Each Loan's

Weighting

Loan

1 $200,000 6.00% 300 22.22%

Loan

2

$400,000 6.25% 260 44.44%

Loan

3

$300,000 6.50% 280 33.33%

The weightings are computed by dividing each outstanding loan amount by total amount

outstanding in the mortgage pool (i.e., $900,000). These amounts are the outstanding amounts

at the issuance/initiation of the MBS. Now, the WAM for the above mortgage pool that consists

of three loans is computed as follows:

WAM = 22.22% (300) + 44.44% (260) + 33.33% (280)

= 66.67 + 115.56 + 93.33

= 275.56 Months or 276 months after rounding

Weighted-average coupon

The weighted average coupon (WAC) of an MBS is the average of the coupons of the mortgages

in the pool, weighted by their original balances at the issuance of the MBS.

Why and where we use WAM and WAC

WAM and WAC are used for describing a mortgage passthrough security, and they form the basis

for the computation of cash flows from that mortgage passthrough. Just as we describe a bond

by saying 30 year bond with 6% coupon, we describe a mortgage passthrough by saying, for

example, "this is a $3 billion passthrough with 6% passthrough rate, 6.5% WAC, and 340 month

WAM."

Note here, the passthrough rate is different from WAC. The passthrough rate is the rate that

the investor would receive if he/she holds this mortgage passthrough security (or simply

mortgage passthrough). Almost always, the passthrough rate is less than the WAC. The

difference goes to servicing (i.e., costs incurred in collecting the loan payments and

transferring the payments to the investors) the mortgage loans in the pool.

Types

Most bonds backed by mortgages are classified as an MBS. This can be confusing, because some

securities derived from MBS are also called MBS(s). To distinguish the basic MBS bond from

other mortgage-backed instruments the qualifier pass-through is used, in the same way that

'vanilla' designates an option with no special features.

Mortgage-backed security sub-types include:

 Pass-through mortgage-backed security is the simplest MBS, as described in the

sections above. Essentially, a securitization of the mortgage payments to the mortgage

originators. These can be subdivided into:

o Residential mortgage-backed security (RMBS) - a pass-through MBS backed by

mortgages on residential property

o Commercial mortgage-backed security (CMBS) - a pass-through MBS backed by

mortgages on commercial property

 Collateralized mortgage obligation (CMO) - a more complex MBS in which the

mortgages are ordered into tranches by some quality (such as repayment time), with

each tranche sold as a separate security.

 Stripped mortgage-backed securities (SMBS): Each mortgage payment is partly used to

pay down the loan's principal and partly used to pay the interest on it. These two

components can be separated to create SMBS's, of which there are two subtypes:

o Interest-only stripped mortgage-backed securities (IO) - a bond with cash

flows backed by the interest component of property owner's mortgage

payments.

o Principal-only stripped mortgage-backed securities (PO) - a bond with cash

flows backed by the principal repayment component of property owner's

mortgage payments.

Varieties of underlying mortgages in the pool:

 Prime: conforming mortgages: prime borrowers, full documentation (such as

verification of income and assets), strong credit scores, etc.

 Alt-A: an ill-defined category, generally prime borrowers but non-conforming in some

way, often lower documentation (or in some other way: vacation home, etc.)

 Subprime: weaker credit scores, no verification of income or assets, etc.

There are also jumbo mortgages, when the size is bigger than the "conforming loan amount" as

set by FannieMae.

These types are not limited to Mortgage Backed Securities. Bonds backed by mortgages, but are

not MBS can also have these subtypes.

Covered bonds

In Europe there exists a type of asset-backed bond called a "covered bond" (commonly known

by the German term Pfandbriefe). Pfandbriefe were first created in 19th century Germany

when Frankfurter Hypo began issuing mortgage covered bonds. The market has been regulated

since the creation of a law governing the securities in Germany in 1900. The key difference

between Pfandbriefe and mortgage-backed or asset-backed securities is that banks that make

loans and package them into Pfandbriefe keep those loans on their books. This means that

when a company with mortgage assets on its books issue the covered bond its balance sheet

grows, which it wouldn't do if it issued an MBS, although it may still guarantee the securities

payments.

Uses

Risk, Return, Rating & Yield relate

There are many reasons for mortgage originators to finance their activities by issuing mortgagebacked

securities. Mortgage-backed securities

1. transform relatively illiquid, individual financial assets into liquid and tradable capital

market instruments.

2. allow mortgage originators to replenish their funds, which can then be used for

additional origination activities.

3. can be used by Wall Street banks to monetize the credit spread between the

origination of an underlying mortgage (private market transaction) and the yield

demanded by bond investors through bond issuance (typically, a public market

transaction).

4. are frequently a more efficient and lower cost source of financing in comparison with

other bank and capital markets financing alternatives.

5. allow issuers to diversify their financing sources, by offering alternatives to more

traditional forms of debt and equity financing.

6. allow issuers to remove assets from their balance sheet, which can help to improve

various financial ratios, utilise capital more efficiently and achieve compliance with

risk-based capital standards.

Pricing

Theoretical pricing

Pricing a vanilla corporate bond is based on two sources of uncertainty: default risk (credit

risk) and interest rate (IR) exposure.The MBS adds a third risk: early redemption (prepayment).

The number of homeowners in residential MBS securitizations who prepay goes up when

interest rates go down. One reason for this phenomenon is that homeowners can refinance at a

lower fixed interest rate. Commercial MBS often mitigate this risk using call protection

Since these two sources of risk (IR and prepayment) are linked, solving mathematical models of

MBS value is a difficult problem in finance. The level of difficulty rises with the complexity of

the IR model, and the sophistication of the prepayment IR dependence, to the point that no

closed form solution (i.e. one you could write it down) is widely known. In models of this type

numerical methods provide approximate theoretical prices. These are also required in most

models which specify the credit risk as a stochastic function with an IR correlation.

Practitioners typically use Monte Carlo method or Binomial Tree numerical solutions.

Interest rate risk and prepayment risk

Theoretical pricing models must take into account the link between interest rates and loan

prepayment speed. Mortgage prepayments are most often made because a home is sold or

because the homeowner is refinancing to a new mortgage, presumably with a lower rate or

shorter term. Prepayment is classified as a risk for the MBS investor despite the fact that they

receive the money, because it tends to occur when floating rates drop and the fixed income of

the bond would be more valuable (negative convexity). Hence the term: prepayment risk.

To compensate investors for the prepayment risk associated with these bonds, they trade at a

spread to government bonds.

There are other drivers of the prepayment function (or prepayment risk), independent of the

interest rate, for instance:

 Economic growth, which is correlated with increased turnover in the housing market

 Home prices inflation

 Unemployment

 Regulatory risk; if borrowing requirements or tax laws in a country change this can

change the market profoundly.

 Demographic trends, and a shifting risk aversion profile, which can make fixed rate

mortgages relatively more or less attractive.

Credit risk

The credit risk of mortgage-backed securities depends on the likelihood of the borrower paying

the promised cash flows (principal and interest) on time. The credit rating of MBS is fairly high

because:

1. The mortgage originator will generally research the mortgage taker's ability to repay,

and will try to lend only to the credit-worthy.

2. Some MBS issuers, such as Fannie Mae, Freddie Mac, and Ginnie Mae, guarantee against

homeowner default risk. In the case of Ginnie Mae, this guarantee is backed with the

full faith and credit of the US Federal government. This is not the case with Fannie Mae

or Freddie Mac, but these two entities have lines of credit with the US Federal

government; however, these lines of credit are extremely small when compared with

the average amount of money circulated through Fannie Mae or Freddie Mac in one

day's business. Additionally, Fannie Mae and Freddie Mac generally require private

mortgage insurance on loans in which the borrower provides a down payment that is

less than 20% of the property value.

3. Pooling many mortgages with different default probabilities creates a bond with a

much lower probability of total default, in which no homeowners are able to make

their payments (see Copula). Although the risk neutral credit spread is theoretically

identical between a mortgage ensemble and the average mortgage within it, the

chance of catastrophic loss is reduced.

4. If the property owner should default, the property remains as collateral. Although real

estate prices can move below the value of the original loan, this increases the solidity

of the payment guarantees and deters borrower default.

If the MBS was not underwritten by the original real estate & the issuer's guarantee the rating

of the bonds would be very much lower. Part of the reason is the expected adverse selection

against borrowers with improving credit (from MBSs pooled by initial credit quality) who would

have an incentive to refinance (ultimately joining an MBS pool with a higher credit rating).

Real-world pricing

Most traders and money managers use Bloombergand Intex to analyze MBS pools. Intex is also

used to analyze more esoteric products. Some institutions have also developed their own

proprietary software. TradeWeb is used by the largest bond dealers ("primaries") to transact

round lots ($1 million+).

For "vanilla" or "generic" 30-year pools (FN/FG/GN) with coupons of 4% - 7%, one can see the

prices posted on a TradeWeb screen by the primaries called To Be Announced (TBA). This is due

to the actual pools not being shown. These are forward prices for the next 3 delivery months

since pools haven't been cut — only the issuing agency, coupon and dollar amount are revealed.

A specific pool whose characteristics are known would usually trade "TBA plus {x} ticks" or a

"pay-up" depending on characteristics. These are called "specified pools" since the buyer

specifies the pool characteristic he/she is willing to "pay up" for.

The price of an MBS pool is influenced by prepayment speed, usually measured in units of CPR

or PSA. When a mortgage refinances or the borrower prepays during the month, the

prepayment measurement increases.

If the buyer acquired a pool at a premium (>102), as is common for higher coupons then they

are at risk for prepayment. If the purchase price was 105, the investor loses 5 cents for every

dollar that's prepaid, possibly significantly decreasing the yield. This is likely to happen as

holders of higher-coupon MBS have good incentive to refinance.

Conversely, it may be advantageous to the bondholder for the borrower to prepay if the lowcoupon

MBS pool was bought at a discount. This is due to the fact that when the borrower pays

back the mortgage he does so at "par". So if the investor bought a bond at 95 cents on the

dollar, as the borrower prepays he gets the full dollar back and his yield increases. This is

unlikely to happen as holders of low-coupon MBS have very little incentive to refinance.

The price of an MBS pool is also influenced by the loan balance. Common specifications for MBS

pools are loan amount ranges that each mortgage in the pool must pass. Typically, high

premium (high coupon) MBS backed by mortgages no larger than 85k in original loan balance

command the largest pay-ups. Even though the borrower is paying an above market yield, they

are dissuaded to refinance a small loan balance due to the high fixed cost involved.

Low Loan Balance: < 85k

Mid Loan Balance: Between 85k - 110k

High Loan Balance: Between 110k - 150k

Super High Loan Balance: Between 150k - 175k

TBA: > 175k

The large number of factors needed, makes it difficult to calculate the value of an MBS

security. Quite often, market participants do not concur resulting in large differences in

quoted prices for the same instrument. Practitioners constantly try to improve prepayment

models and hope to measure values for input variables implied by the market. Varying liquidity

premiums for related instruments as well as changing liquidity over time, makes this a

devilishly difficult task

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