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    Methodology or Forecasting andStress-Testing ABS and RMBS Deals

    August 5, 2010

    Prepared By

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    Juan Carlos CalcagnoSenior [email protected]

    Anthony HughesSenior [email protected]

    Ioannis StamatopoulosAssistant [email protected]

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    Methodology or Forecasting andStress-Testing ABS and RMBS Deals

    The nancial crisis has demonstrated the urgency o developing new tools to improve nancial

    decision-making. The need or research and development is especially great in the structured

    securities market, which was at the epicenter o the crisis. Structured nance originations have

    now virtually dried up, to the detriment o not only investors, but also consumers. I investors can ac-

    curately value and assess the risks o their holdings, bonds can be priced correctly, and the benets

    o securitization can then fow to them as well as to consumers in the orm o lower interest rates on

    mortgages, auto loans, student loans and credit cards.

    In general, structured nance deals are put together by pooling groups o consumer loans and plac-

    ing the principal and interest paid by borrowers into a kitty to be distributed to investors who ownthe rights to dierent tranches representing dierent degrees o risk. A deal is oten composed o

    numerous pools o loans, each with distinct characteristics. Complex rules govern how the money in

    the kitty is distributed to investors. Some investors may be more exposed to a particular pool within

    a deal than others who hold bonds carrying the same rating. Conversely, the pools may all pay into a

    common kitty, in which case the division into pools serves a purely administrative unction. The value

    o the bonds is thus determined by the extent to which the loan pools are able to contribute cash to

    the kitty. The accuracy o orecasts o these cash streams should thereore be the objective o any

    model used to assess bond value.

    In this paper, we outline the approach Moodys Analytics uses to model, orecast and stress-test

    collateral backing ABS deals, concentrating on U.S. RMBS. Since the Moodys Analytics Structured

    Finance Workstation already precisely handles the waterall modeling problem, our task here is to

    develop a methodology that accurately projects the cash fow rom the collateral backing the deals.

    Our approach considers economic conditions at loan origination, loan characteristics, past pool per-

    ormance, and dynamics in the macroeconomic environment over time to explain changes in pool

    perormance. We will describe, in detail, our methodology, and the models developed will be vali-

    dated against simple and similar alternative orecasting approaches. The same methodology has been

    successully applied to other types o asset-backed securities such as international RMBS, auto ABS,

    student loans, credit cards, and business leases. In all cases, the methodology is immediately andglobally available, allowing any type o security, provided data are available, to be accurately valued

    and stress-tested. The output rom the models described in this paper provides all necessary data to

    run waterall valuation engines and thus compute air value and expected loss under baseline as well

    as stressed conditions.

    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 2

    The MoodysAnalytics Approach

    We eel that a pool-level approach is like-

    ly to provide greater utility to end users than

    competing methodologies. Data at this level

    are available on securities rom all parts o

    the world and on any product, meaning that

    the pool-level approach is universally appli-

    cable. Pool-level models are also more likely

    to provide accurate orecasts o pool-level

    aggregates than are competing approaches.

    The data used or this study are drawn

    primarily rom two sources: The Moodys

    Analytics U.S. macroeconomic orecast

    databases and the Moodys Analytics Peror-

    mance Data Services product.

    Moodys Analytics maintains one o thelargest repositories o macroeconomic,

    demographic and nancial data rom a mul-

    titude o government and private sources.

    The data set covers the national accounts,

    banking and nance, demographics, personal

    income, prices, retail sales, labor markets,

    energy, nancial markets and many other

    indicators. Moodys Analytics each month

    produces projections, both baseline and

    stressed, or economies and nancial mar-

    kets worldwide using large-scale structural

    macroeconometric models. In the broadestterms, the models are specied to refect the

    interaction between aggregate demand and

    aggregate supply. In the short run, fuctua-

    tions in economic activity are primarily de-

    termined by shits in aggregate demand, in-

    cluding personal consumption, gross private

    investment, net exports, and government

    expenditures. The level o resources and

    technology available or production is, in the

    short term, taken as givens. Prices and wages

    then adjust slowly to equate aggregate de-

    mand and supply and thus move the econo-my toward equilibrium. In the longer term,

    changes in aggregate supply determine the

    growth potential o the economy. The rate

    o expansion o the resource and technology

    base is the principal determinant o overall

    economic growth, which eeds, interactively,

    into other actors in the model. The model

    and subsequent orecast are overseen by a

    team o about 60 economists who cover the

    perormance o the economy in real time.

    The orecasts undergo continual revision

    and adjustment to refect new trends and

    changing data. Recent advances in macroeco-

    nomic theory, new econometric techniques,

    and increased computing power also govern

    development o the models. The system has

    been changing to accommodate increased de-

    mand by clients who want to use the models

    to generate alternative scenarios and to un-

    derstand the sensitivity o the macroeconomy

    to changing economic and nancial condi-

    tions. Moodys Analytics produces one upside

    and several downside alternative scenarios

    each month or each economy it covers. A de-

    tailed description o some recent alternative

    scenarios is included in Appendix 2.

    In terms o the ABS credit data, mean-

    while, PDS is a comprehensive and standard-ized data set that includes raw inormation

    on all active and inactive ABS and RMBS

    deals rated by Moodys Investors Service in

    the U.S. and globally. For a more compre-

    hensive picture o the U.S. RMBS market

    during the model development stage, and

    to avoid any selection bias, we have supple-

    mented the PDS data set with inormation

    rom deals that are not rated by MIS; this

    supplemental database is available only in-

    ternally. Given that MIS-rated deals cover

    about 90% o the U.S. RMBS universe, thePDS product alone is close to comprehen-

    sive, given the aims o this paper.

    The data set is composed o deal inorma-

    tion at origination, augmented by continu-

    ously updated perormance inormation

    rom servicer and trustee monitoring reports.

    The data les are cleaned and validated

    by the MIS monitoring team as part o the

    ongoing ratings surveillance process. The

    data are o excellent quality and o a perect

    structure or the orecasting models con-

    sidered in this article. Included in the lesare over 100 perormance statistics at the

    deal, pool, and tranche level or over 10,000

    ABS and RMBS deals in the U.S., Europe, the

    Middle East and Arica as well as in the Asia-

    Pacic region. PDS coverage in each region

    matches the market share o MIS in rating

    the underlying deals. The data are not only

    consistent within each region or country,

    they are also consistent across and between

    regions, allowing or international analysis

    i so desired. Our analysis typically con-

    centrates on key pool perormance metrics

    such as delinquency rates as a proportion o

    original balance, longer-term indicators o

    deault, prepayment rates, and severity o

    losses or loss given deault.

    For the purposes o this study, because

    o the lack o data on a ew key variables,

    we restrict our attention to U.S. RMBS deals

    originated ater December 2001. Many

    perormance measures, however, are avail-

    able back to 1995. Table 1 provides basic

    descriptive statistics about the pools in the

    sample used or modeling purposes. The

    pools employed are concentrated in sub-

    prime, alt-A and jumbo categories. Given

    that originations grew so quickly rom 2004

    to 2007, unsurprisingly, these cohorts arealso very well represented. Data or other

    vintages and product types are suciently

    available or their determining actors to be

    accurately estimated.

    Once all data les are merged, the nal

    data set used or the analysis is a multi-

    dimensional, longitudinal panel data set.

    Our estimation sample is composed o

    12,148 unique asset pools observed over, in

    most cases, several years. In total, our es-

    timation sample or most dependent vari-

    ables amounts to about 660,000 uniqueobservations with a ew categories, most

    notably loss severities, having access to

    only about 140,000 separate observations.

    The data cover a ull business cycle, includ-

    ing two recessions, allowing us to correctly

    measure the impact o cyclical actors and

    to weigh these actors against internal

    pool-specic inormation.

    A. The econometric model

    The panel nature o the data on struc-

    tured securities provides a rich tapestry withwhich to construct high-quality orecasting

    models. In this paper, we consider a model

    o the orm

    or, decomposing into its constituent

    components:

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    (1)

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 5

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    healthy dose o economic principle. Models

    built this way enjoy the additional benet o

    ease o interpretation.

    The selection o the explanatory macro-

    economic variables was also based on our

    ability to orecast them easily and suciently

    accurately. In econometric orecasting, the

    uture realizations o the dependent variablerely on accurate orecasts or the independent

    variables. Forecast errors can easily be multi-

    plied i input variable orecasts are not closely

    monitored or i the data backing the orecasts

    are noisy and thus inherently dicult to

    project. Identiying macro variables that are

    useul in this context is straightorward: They

    are the actors that oten have the power to

    change the direction o nancial markets and

    that are thus routinely debated in the public

    square. Variables such as unemployment

    rates, home price indices, key interest rates,and retail sales numbers are generally bet-

    ter candidates than industry-level mortgage

    oreclosure rates, or instance, which are o

    interest only during certain brie periods. We

    nd that a combination o such core variables

    generally act as a reasonable proxy or these

    more peripheral actors. Since core variables

    are generally easier to predict, we nd them

    more useul in building optimal orecasts o

    ABS pool perormance.

    Model Results

    A summary o the variables included in

    each regression or the vectors we modeled

    is presented in Table 2. The rst group o vari-

    ables, the pool origination actors ( in (2)),

    include average LTV and FICO, a set o dum-

    mies or vintage origination year, dummiesdening loan or collateral type (i.e. whether

    the pool represents subprime or jumbo

    mortgages, or instance) and a set o dum-

    mies indicating whether the originator o the

    pool in question was in the top 10 in terms o

    total number o pools originated during the

    in-sample period. The vintage year, collateral

    type and originator dummies are included

    in most regressions in order to control or

    group heterogeneity in the data. Weighted

    average LTV and FICO at origination are

    key pieces o inormation not only becausethey determine pool quality and hence

    perormance, but also because we seek to

    retain the ability o the models to project the

    perormance o newly originated mortgage

    pools using inormation that is readily avail-

    able at deal origination.

    The second group o variables includes

    the economic condition actors at deal origi-

    nation, which is our set o instrumental vari-

    ables, . In this category, we ound that gen-

    eral measures o economic activity, like GDP

    and the unemployment rate, are correlated

    with changes in pool perormance; we also

    nd good support or actors specic to the

    mortgage market such as home prices and

    interest rates. Broadly speaking, house price

    changes and an average benchmark interest

    rate at origination tend to have a counter-cyclical impact on measures o perormance

    observed early in the deault process. Labor

    market conditions at deal origination, how-

    ever, become more important when model-

    ing later stages in the deault process, includ

    ing oreclosure, REO, and losses.

    The third set o variables is the macro-

    economic series or those actors related to

    the pools exposure to the business cycle.

    We ound that the types o macroeconomic

    actors that aect delinquency are standard

    are labor and housing market variables,income, and overall economic activity with

    close attention paid to lag structures and

    transormations applied to the economic

    data being used. House price changes and

    renancings become much more important

    drivers at later stages in the oreclosure pro-

    cess. We use both current home price chang-

    es and price changes since origination as key

    housing market actors. This second variable

    allows or a dierential negative equity e-

    TABLE 1

    Number o pools by collateral type and closing year

    Pools Collateral Type

    Deal Closing Year

    Total2002 2003 2004 2005 2006 2007 2008 2009 2010

    HELOC 14 23 61 50 46 20 2 216High LTV 14 10 6 7 6 1 44

    Home Equity/Closed End 2nds 8 8 6 6 19 14 61

    Subprime 287 526 749 795 777 386 4 3,524

    Alt-A 155 463 1,080 1,335 904 676 12 1 4,626

    FHA-VA 9 17 17 25 20 2 90

    Jumbo 207 583 534 452 315 252 30 2 1 2,376

    Prime Conorming 5 1 6

    Scratch & Dent 10 25 63 43 49 41 231

    Subprime 2nds 2 13 27 51 83 41 217

    Option Arms 5 71 221 284 173 3 757Total Pools 706 1,673 2,619 2,985 2,503 1,606 51 3 2 12,148

    Average Time-Series Available 92 82 70 58 46 36 23 10 2

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 6

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    ect to be explicitly modeled. The models o

    oreclosure, REO, charge-os, and severity

    are tied largely to home prices and various

    other actors aecting housing and legal cost

    structures. We also ound prepayment rates

    to be more sensitive to interest rates, re-

    nancing activity, and existing-home sales.

    As the structure o the model is recursive

    in nature, the next set o covariates consti-

    tutes the so-called pipeline connections. We

    model delinquencies largely independently

    o one another but model subsequent events

    prepayments, oreclosures, charge-os, and

    severity conditionally on the delinquency

    perormance the pools attain. We also take

    advantage o our panel data estimation

    techniques to measure the unobserved pool

    heterogeneity embedded within several earlyperormance measures and then use these

    estimates as an exogenous quality metric in

    the subsequent net charge-o, prepayment,

    and principal payment models.

    Finally, the models include a cubic spline

    baseline liecycle with our knots5 and inter-

    action terms between the spline variables,

    current economic conditions, and collateral

    type dummies. By introducing these interac-

    tions, we measure the dierential impact o

    economic drivers on dierent types o assets.

    For example, we allow the sensitivity to un-employment rate changes to vary between

    pools classied as subprime and those dened

    as jumbo deals. Similarly, by interacting the

    spline with collateral type, we allow the shape

    5 Three in the case o the LGD model.

    o the liecycle to depend upon the underlying

    quality o the pools under consideration.

    Table 2 summarizes the specications

    used to model each o the 11 vectors studied

    in this article. All the variables (or groups

    o variables) are signicant at the 5% level,

    and all variables have appropriate signs con-

    sistent with economic theory. The models

    have been tested rigorously to ensure that

    they are optimal, among the set considered,

    or orecasting purposes. In Table 3 we pres-

    ent the results or one regression, that or

    the oreclosure rate, as an example o the

    estimation results achieved or all models.

    Other specications are, naturally, available

    rom the authors on request.

    Given that our general model specica-

    tion included actors rom all the subcom-ponents described above, we can reasonably

    conclude that actors specic and internal

    to the pool, together with external mac-

    roeconomic actors, are given appropriate

    loadings in the calculation o perormance

    orecasts. Once we eed in orecasts o

    macroeconomic variables derived rom our

    structural macroeconomic model, generating

    pool-level orecasts is straightorward. Ex-

    tending this principle to stress tests which

    really constitute little more than pessimistic

    economic orecasts is equally simple. Thisprocess delivers a set o vectors under each

    alternative macro scenario, including a base-

    line projection. The models can be applied

    to custom scenarios provided all necessary

    macroeconomic variables are covered by the

    scenario. The particular shape o these ore-

    casts and scenarios depends on the estimat-

    ed elasticity o the risk vector to the included

    macroeconomic series. As mentioned earlier,

    the elasticities have been ound, in many

    cases, to be heterogeneous across dierent

    collateral groups. Moreover, we nd that

    the slopes vary depending on the underlying

    quality o the pool in question and the time

    at which the pool was originated.

    To illustrate these eatures, we present

    orecasts and scenarios or a small number o

    pools drawn rom the subprime, alt-A, jumbo,

    and option ARM collateral types under two

    alternative macroeconomic scenarios the

    current baseline orecast (a recovery) and an

    alternative, depression-like event. These pro-

    jections are depicted in Charts 1 and 2. Under

    baseline assumptions, we nd that oreclosurerates will stay fat or another quarter as the

    real estate market stabilizes and then steadily

    decrease as bad accounts move out o the

    oreclosure state and are fushed rom the sys-

    tem; the vector then converges to the steady-

    state baseline liecycle. A depression scenario,

    however, generates a sharp double dip, with

    gures across collateral types reaching histori-

    cally high levels in 2011, similar to the peaks

    observed in mid-2009.

    A. Out-of-sample validationOne o the most important ndings in the

    orecasting literature is that the model that

    best ts the data is not necessarily the one

    that will provide the most accurate out-o-

    sample orecast (Fildes and Makridakis (1995))

    Typically, to assess accuracy, the data will be

    0

    5

    10

    15

    20

    25

    30

    35

    07 08 09 10 11 12 13 14 15

    Baseline

    Alt. Scenario

    Chart 1: Projections for Alt-A and Subprime Pools

    Foreclosure rates, %

    Source: Moodys Analytics

    Subprime

    Alt-A

    0

    5

    10

    15

    20

    25

    07 08 09 10 11 12 13 14 15

    BaselineAlt. Scenario

    Chart 2: Projections for Jumbo and Option Arm pools

    Foreclosure rates, %

    Source: Moodys Analytics

    Option ARM

    Jumbo

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 7

    split into two data sets: The rst set, a devel-

    opment sample, is used to speciy the model

    and estimate its coecients; the second set

    is used to evaluate orecast accuracy and is

    known as the hold-out sample. To validate

    our preerred models, we hold out the last six

    available data points at the end o the time

    series or each pool. The models were tted

    to the remaining historical data. The orecasts

    generated using the models were then com-

    pared with actual values observed during the

    hold-out sample, and aggregate root mean

    squared orecast errors were computed.

    Underlying our orecast accuracy evalua-

    tion was the need to test our preerred mod-

    el against reasonable alternatives (Baltagi

    (2008)). For this purpose, the out-o-sample

    perormance o the HT estimator was com-pared against that o three benchmark mod-

    els. Our rst benchmark was a nave orecast

    that assumed no change rom the most

    recently observed value in the development

    sample. The other two benchmarks were

    specied similarly to our preerred specica-

    tion but were estimated using pooled OLS

    and the xed-eects estimator, respectively.

    These approaches are described in previous

    sections; both should provide ar stier com-

    petition to the preerred specication than

    the corresponding nave orecast.

    Errors or each approach were aggregated

    and results presented in Table 4. We present

    the perormance o the alternative models

    relative to the preerred HT specication.

    Numbers greater than unity thereore indi-

    cate cases in which the alternative approach

    is able to beat the preerred method in a

    head-to-head competition.

    The results o the validation exercise are

    clear-cut. The preerred HT estimated panel

    data model suers less squared orecast error

    than each o the three considered alternative

    specications or all 11 estimated vectors.

    The one exception is or charge-os, in which

    the xed-eects estimator is able to eke out

    a small victory by just a couple o percentage

    points. We eel that any test applied enough

    times will yield contrary results and placethis nding in that category. Folding in the

    act that the xed-eects estimator reduces

    model utility, we can easily conclude that a

    2% improvement is not enough to warrant a

    change in technique.

    In terms o the three primary inputs to

    the Structured Finance Workstation CDR,

    CPR and severity the HT estimated model

    easily dominates its competitors and can

    thus be recommended. Vectors derived

    rom this approach are likely to be optimal in

    terms o deriving accurate bond valuations.

    Final Remarks

    These results demonstrate that pool-leve

    perormance aggregates are well orecast us-

    ing aggregate panel data specications that

    accurately capture the impact o macroeco-

    nomic dynamics on the behavior o loans.

    The models described are simple, parsimo-

    nious structures in which every coecient

    estimate can be readily understood using

    simple economic intuition. The subsequent

    models orecast the aggregate perormance

    characteristics accurately and easily lend

    themselves to the construction o relevant

    stress-testing scenarios.

    Structured inance is a complex busi-

    ness. Ater the recent recession exposed

    the ailure o the models used in the in-dustry, many sought to solve the problem

    with even more complex solutions and

    models. Though it may seem counterintui-

    tive, the correct response to the ailure o

    complex models in 2007-2009 was a light

    to simplicity and unctionality. The mod-

    els that orm the backbone o the Moodys

    Analytics system are simple yet compre-

    hensive and, importantly, are designed

    speciically to tackle the problem o ore-

    casting and stress-testing the collateral

    underlying ABS deals.

    ECONOMIC & CONSUMER CREDIT ANALYTICS

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 8

    TABLE 2

    Summary o Models inputs

    Group Variable

    Vector

    30 day

    delinquency

    60 day

    delinquency

    90+ day

    delinquency CDR Bankruptcy Foreclosure REO LGD

    Net

    Chargeo CPR Principal

    Origination

    Conditions

    LTV X X X X X X X

    FICO X X X X X X X X X

    Top Originators X X X X X X X X X X X

    Vintage Year X X X X X X X X X

    Loan Type X X X X X X X X X X X

    Economic

    Conditionsat

    Origination

    Fed Funds X X XX (relativeto WAC)

    Home Prices X X X X

    GDP X

    Unemployment Rate X X X X

    CurrentEconomicConditions

    Disposable Income t, t-3 t, t-3 t-3

    Home Prices (HP) t, t-6 t, t-6 t-6 t-3 t, t-6

    Change in HP since 0 t t t

    Negative Equity Dummy t t t

    Unemployment Rate t-3 t-3 t-3 t-1 t-6 t

    Avg. Hourly Earnings t-6 t-6 t-6 t-6

    GDP t t

    Personal Bankruptcies t-6

    REFI Volume t-12 t t

    Fed Funds tDebt Service Burden t-6 t

    Existing Home Sales t-12

    Mort. REFI Originations t-12 t

    PipelineConnections

    30 day delinquency t

    90+ day delinquency t-3 t-3 t-3

    Bankruptcy t-3

    Foreclosure t-1

    REO t

    Unobserved eect (CDR) X X X

    OtherVariables Liecycle * Loan Type X X X X X X

    Liecycle * Economic X X X

    Loan Type*Economic X X X X

    Dec 2005 Bankruptcy Law X

    Lifecycle

    Number o knots 4 4 4 4 4 4 4 3 4 4 4

    Notes: All models include seasonality actors (month) and dummies or zeros

    ECONOMIC & CONSUMER CREDIT ANALYTICS

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 9

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    TABLE 3

    Partial Regression Results or Foreclosure Rate

    Coefcient Standard Error t-statistic

    LTV 0.053 0.004 11.809

    FICO (non-linear spline 1) -0.006 0.001 -8.402FICO (non-linear spline 2) -0.001 0.001 -1.889

    Unemployment Rate, % at origination -0.443 0.014 -30.842

    House Prices, % change year ago lagged 12 months -0.028 0.000 -119.093

    GDP, % change year ago -0.015 0.001 -27.163

    Dummy indicator or Negative Equity 0.108 0.004 29.156

    90+ day delinquency lagged 3 months 0.110 0.001 173.511

    Bankruptcy lagged 3 months 0.081 0.001 151.339

    Observations 576651

    Number o unique pools 11727

    Note: model includes liecycle, seasonality, and dummies or zeros, originators, negative equity and loan type and a constant term

    TABLE 4

    Out o Sample Forecasting Results

    Ratio between Hausman-Taylor and benchmark models RMSE

    Vector Nave Forecast Pooled OLS Fixed Eects

    30 day delinquency 0.935 0.742 0.941

    60 day delinquency 0.871 0.853 0.904

    90+ day delinquency 0.688 0.479 0.531

    CDR 0.830 0.802 0.875

    Bankruptcy 0.948 0.720 0.711

    Foreclosure 0.572 0.636 0.777

    REO 0.973 0.645 0.758

    CPR 0.884 0.957 0.993

    Principal 0.668 0.586 0.667

    Severity 0.911 0.928 0.850

    Chargeo 0.762 0.905 1.020

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 10

    Reerences

    ECONOMIC & CONSUMER CREDIT ANALYTICS

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    2. Allen, P. G. and Fildes, R. (2001). Econometric Forecasting. Principles o Forecasting. J. S. Armstrong. Norwell, MA, Kluwer Academic

    Publishers.

    3. Baltagi Badi H. (2001). Econometric Analysis o Panel Data. Wiley and Sons, Chichester, UK.

    4. Baltagi, Badi H. (2008). Forecasting with panel data, Journal o Forecasting, 27(2), pp 153-173.

    5. Hendry, David F. and Hubrich, Kirstin, (2009). Combining Disaggregate Forecasts or Combining Disaggregate Inormation to Forecast an

    Aggregate. ECB Working Paper No. 1155.

    6. Fabbozzi, Frank and Kothari, Vinod, (2008). Introduction to Securitization, Wiley.

    7. Fildes, R and Makridakis, S (1995), The impact o empirical accuracy studies on time series analysis and orecasting, International Statis-

    tical Review, 63, pp. 289-308.

    8. Green, Richard and Wachter, Susan M. (2005), The American Mortgage in Historical and International Context. Journal o Economic Per

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    9. Hausman, J.A. (1978). Specication Tests in Econometrics, Econometrica, 46 (6), pp. 12511271.

    10. Hausman Jerry A. and Taylor William E. (1981) Panel Data and Unobservable Individual Eects. Econometrica 49, pp.137798.

    11. Hsiao (2002). Analysis o Panel Data. Cambridge University Press

    12. Kendall, Leon, and Fishman, Michael (2000). A Primer on Securitization. The MIT Press13. Lutkepohl, H. (2006). Forecasting with VARMA processes, in G. Elliott, C.W.J. Granger & A. Timmermann (eds), Handbook o Economic

    Forecasting, vol. 1, pp 287-325, Elsevier.

    14. Royston, Patrick, and Sauerbrei, Willi (2007). Multivariable Modeling with Cubic Regression Splines: A Principled Approach. The Stata

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    15. Wooldridge Jerey M. (2002) Econometric Analysis o Cross Section and Panel Data. MIT Press, Cambridge, MA.

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 11

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    Appendix A: Defnition o Variables

    Field Description

    Pool Perormance

    30 day delinquency Amount o receivables that are 30-59 days past due divided by the original collateral balance (%).60 day delinquency Amount o receivables that are 60-89 days past due divided by the original collateral balance (%).

    90+ day delinquency Amount o receivables that are 90 or more days past due divided by the original collateral balance (%).

    CDR Constant deault rate based on amount o receivables in deault in the current month, annualized (%)

    Bankruptcy Amount o receivables in which the obligor has declared bankruptcy divided by the current collateral balance (%)

    Foreclosure Amount o receivables in oreclosure divided by the current collateral balance (%).

    REO Amount o receivables that are real estate owned divided by the current collateral balance (%).

    Loss-Given Deault (LGD) Monthly net losses during the related monthly period divided by gross losses during the related monthly period (%).

    Net Chargeo Net losses during the related monthly period divided by the prior months ending collateral balance (%).

    CPR Constant prepayment rate based on unscheduled principal paid by obligors rom the current month, annualized (%).

    Principal Total principal collected during reporting period divided by the current collateral balance (%).Pool Origination

    LTV Weighted Average Loan To Value at deal origination (%).

    FICO Weighted FICO score at deal origination (%).

    Top Originators Indicator variables or Top Mortgage originators during the sample time period including Countrywide Bank, WellsFargo, IndyMac, BoA, Citibank, Greenpoint Bank (CapOne), Option One Mortgage, and Residential Funding (GMAC)

    Vintage Year Vintage origination year (2001 to 2010)

    Loan Type Loan collateral type: Heloc, High LTV, Home Equity/Closed End 2nds, Subprime, Alt-A, FHA-VA, Jumbo, Prime Con-orming, Scratch and Dent, Subprime 2nds, Option Arm

    Macroeconomic series

    Disposable Income Income: Per capital disposable income, (Constant$, SAAR, annual growth rate)

    Home Prices Median Sales Price Existing Single-Family Homes, (Ths. $, SA, annual growth rate)

    Change in HP since 0 Dierence in Median Sales Price since Deal Origination (%)

    Negative Equity Dummy 1 i change in HP since 0 is negative; 0 otherwise

    Unemployment Rate Household survey: Unemployment rate, (%, SA)

    Avg. Hourly Earnings Avg. Hrly. Earnings: Total Private, ($ Per Hrs., SA, annual growth rate)

    GDP NIPA: Gross domestic product, (Bil. 2000 $, SAAR, annual growth rate)

    Personal Bankruptcies Bankruptcies: Personal, Total, (# 3-Month Ending, SAAR, annual growth rate)

    REFI Volume MBA: Percent REFI Volume, (%, annual growth rate)

    Fed Funds Interest Rates: Federal Funds Rate, (%,P.A.)

    Debt Service Burden Debt Service Burden: Total, (% o Disposable Personal Income)

    Existing Home Sales Existing Home Sales: Single-Family, (Mil., SAAR, annual growth rate)Mort. REFI Originations Mortgage Originations: Renances, (Mil. $, SAAR, annual growth rate)

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 12

    ECONOMIC & CONSUMER CREDIT ANALYTICS

    Appendix B: Summary o U.S. Economics Scenarios (July 2010)

    Scenario Real GDP Median Home Price Fed Funds Target Unemployment

    S1

    Stronger Recovery

    in 2010

    Real growth o 3.9%

    in 2010, 4.6% in 2011

    Expected to rise 2.9% in

    2010 and 2.0% in 2011

    The unds rate is

    expected to end 2010 at1.6% and 2011 at 2.5%

    Peaks at 10.1%

    in Q4 2009 andends 2010 at 8.3%

    BL Baseline, CurrentReal growth o 2.9%in 2010, 3.6% in 2011

    Peak-to-trough declineo 26%, turnaround inmid 2011

    The unds rate isexpected to end 2010 at0.2% and 2011 at 1.8%

    Peaks at 10.0%in Q1 2011

    S2Mild Second

    RecessionReal growth o 2.0%in 2010, 1.3% in 2011

    Peak-to-trough declineo 36%, turnaround atermid 2011

    The unds rate isexpected to end 2010 at0.1% and 2011 at 0.5%

    Peaks at 11.8%in Q2 2011

    S3Deeper Second

    RecessionReal growth o 1.6%in 2010, -0.7% in 2011

    Peak-to-trough declineo 40%, turnaround atbeginning o 2012

    The unds rate isexpected to remainbelow 1% until Q3 2012

    Peaks at 14.0%inQ4 2011

    S4Complete Collapse,

    DepressionReal growth o 1.3%in 2010, -1.9% in 2011

    Peak-to-trough decline

    o 45%, turnaround inlate 2012

    The unds rate is

    expected to end 2010 at0.1% and 2011 at 0.2%

    Peaks at 15.1%in mid 2012

    S5Aborted Recovery,

    Below-TrendLong-Term Growth

    Real growth o 2.1%in 2010, 1.8% in 2011

    Peak-to-trough declineo 29%, turnaround inmid 2012

    The unds rate isexpected to end 2010 at0.1% and 2011 at 0.4%

    Peaks at 11.4%in mid 2011

    S6Fiscal Crisis, DollarCrashes, Infation

    Real growth o 2.2%in 2010, 2.6% in 2011

    Peak-to-trough declineo 37%, turnaround inmid 2013

    The unds rate isexpected to end 2010 at0.1% and 2011 at 1.9%

    Peaks at 13.0%in early 2013, ends2010 at 10.2%

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    MOODYS ANALYTICS / METHODOLOGY FOR FORECASTING AND STRESS-TESTING ABS AND RMBS DEALS 13

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