Quantitative Modelling-Part-1 by Tarun Das

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    Quantitative Modeling

    Presented byDr Tarun Das

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    1.1 Purpose of Quantitative Modeling

    Policy planning versus physical planning

    Indicative planning versus target setting

    Optimizing versus consistency approach

    Partial/sectoral versus economy wide model

    Selective versus all purpose modelLearning versus blue print approach

    Consultancy versus dirigist approach

    Monitoring trends versus forecasting future

    Sound public investment versus overallinvestment planning

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    1.2 Dimensions of Quantitative Models

    Macro models (National level)

    Meso (Middle level)Spatial (over space)Regional (over regions)

    Sectoral (over industries/ sectors)Micro (at unit levels)Inter temporal (over time)

    Intergenerational (over generations)

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    1.3 Types of Models

    Static or dynamic models

    Short, medium, long term model Consistency or Behaviouristic or

    Optimizing or Econometric models

    Closed or open economy model Economy wide or sectoral model

    Selective or All purpose model

    Comprehensive or partial model Deterministic or indeterminate

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    1.4 Desirable characteristicsof an Ideal Model

    Internal consistency Comprehensiveness with two-way feed backs

    Dynamic to take care of change over time

    Unique and stable solutions

    Easy testing and calibration of the model withthe help of available data, computer capacitiesand algorithms, statistical techniques

    Model should be continually tested, reviewed,

    Calibrated, monitored, updated, simulated andimproved to make it more realistic

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    1.5 Advantage of Econometric Modeling

    An Econometric Model helps: to formalize the system,

    to establish inter-relations

    among major policy variables thatcan be specified, calibrated,tested, monitored, updated,simulated and predicted withcertain degree of confidence, and to identify trade-off amongalternative policy options.

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    2.1 Steps in Econometric Modeling

    Specify objectives and purpose

    Have a sound theoretical basis Identification of potential variables Specification of equations Identification of equations

    Calibration of parameters Testing- Various goodness of fitstatistics- R-sq, -sq, Theil index etc. Simulation and policy planning

    Monitoring and updatingPrediction and Projection.

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    2.2 Econometric Modeling

    Types of Data

    Time series

    Cross section

    Panel - Combination of time series and

    cross section data Pooled- Combination of sectors/ regions

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    2.3 Types of variables.3 Types of variables Endogenous variables (determined

    within the model) Ct,Yt Exogenous/ predetermined variable Wt

    Parameters , , , , Lagged variable Ct-1 Instrumental variable Wt Dummy (binary, categorical, indicator,

    qualitative, dichotomous) variable Dt

    Omitted variables Catch all variable (could be time trend)

    Ct = + Yt +Wt + Ct-1 + Dt

    Dt = 1 if t is 1991 to 2003, 0 otherwise

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    2.4 Types of EquationsTechnical such as production function

    Behavioral such as consumption function Definitional such as capital/output ratio

    Identities such as Y = C + I + G

    Structural form

    Ct = 1 + 1Yt + Ut It =2 +2Yt + 3Yt-1 + Vt

    Yt = Ct + It + Gt

    Reduced form

    Yt = 3 + 4Yt-1 + 5 Gt + Wt3 = (1 + 2 )/6,4 =3 /6,5=1/6,6 =1 -1 -2

    3 1 G l Di t b

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    3.1 General Disagreements byModelers

    Let all the flowers flourish

    General purpose versus single purpose model

    Normative versus descriptive model

    Policy oriented versus general understanding

    Short run versus long run model

    Large versus small model

    Top down versus bottom up model

    To guess or leave out crucial missing data

    How to deal with future economic agents,technology change, prices and population?

    Whom should we address?

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    3.2 General Agreements by Modelers- 1

    State your biases and intuitive arguments

    Computer models of social systems should not beexpected to produce precise results.

    Qualitative judgements from econometric modelsare useful for policy formulation.

    Models should be selected to fit problems.

    Social environment and political economymay betreated as given in the model.

    Models should be tested rigorously for the realworld with full range of policies.

    Substantial portion of resources should be usedfor full documentation of the model.

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    3.3 General Agreements by Modelers-2

    Part of the model documentation should be

    technically complete so that any other group cantest, calibrate and run the model.

    Part of the documentation should be clear and freefrom jargons for general understanding by the non-technical audience.

    Modelers should specify data sources and sharetheir data.

    Users and policy makers should be involved in themodeling process.

    It is necessary to continually review, monitor,update, upgrade, and simulate the model.

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    Thank you

    Have a Good Day