BeTa

BeTa-MKV An Estimated General Equilibrium Open Economy Monetary Model of Interacting European Economies
Fact Sheet

Source: Commission modelling inventory and knowledge management system (MIDAS)

Date of Report Generation: Thu Mar 06 2025

Dissemination: Public

© European Union, 2025

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Overview

Acronym

BeTa

Full title

BeTa-MKV An Estimated General Equilibrium Open Economy Monetary Model of Interacting European Economies

Main purpose

The BeTa model is a macroeconomic model is able to control for the complex economic interactions which might result from, for example, impacts of additional taxes used to fund the training entitlements and automation in response to higher productivity. As a forecasting model, it is able to provide an assessment of medium to long-effects on output and employment.

Summary

The BeTa model is a macroeconomic model that – in the spirit of the QUEST III-RD model and the  RHOMOLO model – adopts the theoretical approach of the product variety semi-endogenous growth model of Jones (1995; 2005). It has a dynamic innovation process, described by the interaction of the choices taken in three sectors (Varga et al., 2013): the R&D sector, the household sector and the monopolistically competitive intermediate sector. Furthermore, based on the fact than in the macro model of Varga et al. (2013) a human capital (HC) sector is missing and given also the spirit and the aim of the present study, a fourth sector describing the HC setup was included. More in the specific for the Human Capital sector is based on Varga et al.’s endogenous growth formulation. Furthermore, the Diamond-Mortensen-Pissarides search and matching labour market structure allows to account for the interaction of ex-ante investments on Human Capital and costly search in the labour market suggested by Acemoglu.

The model is based on a hybrid formulation structure which consists in equations partly derived from “hard theory”, partly from “soft theory”.

  • Hard theory: the micro foundations (i.e. formal hypotheses on preferences and technology), and inter-temporal optimization under rational expectations (i.e. model-consistent expectations/certainty equivalence) are considered to derive the behavioural equations; and
  • Soft theory: general macroeconomic reasoning, supported by statistical information, is used in the specification of the mathematical representation of economic behaviour.

Model categories

Economy

Model keywords

fiscal policymonetary policyimperfect labour marketssearch and matchingresearch and developmentbayesian estimation

Model homepage

Ownership and Licence

Ownership

Third-party ownership (commercial companies, Member States, other organisations, …)

Ownership details

Licence type

Non-Free Software licence

The license has one or more of the following restrictions: it prohibits creation of derivative works; it prohibits commercial use; it obliges to share the licensed or derivative works on the same conditions.

Details

Structure and approach

The following detailed assumptions are used in determining the exact input data for the BeTa model:

  • training is funded through additional public resources: private resources that are freed through deadweight loss for the public authorities, are reflected in the simulation as higher disposable income for individuals and lower costs of labour for employers;
  • no substitution effects with existing public training support schemes: those participating in training would have either not participated in absence of support or done so thanks to individual, private resources;
  • additional investment in upskilling activities resulting from voluntary cost-sharing is assumed away;
  • given the model is based on the representative agent, individuals are not heterogeneous. The simulation focuses on the EU-average annual value of training undertaken irrespective of any dynamics linked to individual accumulation. Decreasing marginal returns over time are also assumed;
  • from a long-term perspective, fixed set up costs are omitted. This is justifiable because from a long-term perspective, one-off costs become negligible. Hence, the focus lies on operational yearly costs;
  • the average cost of training for the EU-27 estimate is calculated based on the number of training entitlements redeemed by each target group, in each country, using as deflators for the education sector as per the cost benefit analysis. It is therefore a weighted average which adjusts to the amount of entitlements used by each country and target group.
  • input data used for this simulation is based on the middle ground scenario for the take up rate of the training entitlements and considers, as net effects on training participation, all the economically relevant additionality in training undertaken (i.e. all the training which would have not been undertaken without the training entitlements).
  • wage levels are left free to fluctuate to ensure macroeconomic coherence in combination with the increases in taxes, monetary transfers (training purchased with public resources that would have been purchased through private ones) and effects on the job matching function. This is necessary as all these factors (taxes, transfers and changes to job finding rates) affect the value wages at equilibrium levels, hence it is impossible to fix them exogenously.

Input and parametrization

The model inputs consist of a rich and large dataset which is required by the estimation strategy. The data that will be used in the estimation stage are:

  • GDP, consumption,
  • investment,
  • imports,
  • exports,
  • wages;
  • the unemployment rate,
  • the rates of change of the price deflators for consumption,
  • import,
  • export,
  • nominal effective exchange rate,
  • the domestic and the monetary policy short term interest rate,
  • labour force,
  • participation rates,
  • data on R&D,
  • human capital

Main output

The model outputs consist of the provision of different socio-economic scenarios. The focus will lie in particular on GDP and employment outcomes as a result of the provision of training entitlements.

Spatial & Temporal extent

The output has the following spatial-temporal resolution and extent:

ParameterDescription
Spatial extent / country coverageEU Member states 27EU Member states 27 and UKOECD countriesWestern BalkansCentral and Eastern European CountriesBRICS countries
Spatial resolutionNational
Temporal extentShort-term (from 1 to 5 years)
Temporal resolutionQuarterly

Quality & Transparency

Quality

Model uncertainties

Models are by definition affected by uncertainties (in input data, input parameters, scenario definitions, etc.). Have the model uncertainties been quantified? Are uncertainties accounted for in your simulations?

yes

    Sensitivity analysis

    Sensitivity analysis helps identifying the uncertain inputs mostly responsible for the uncertainty in the model responses. Has the model undergone sensitivity analysis?

    yes

      Have model results been published in peer-reviewed articles?

      no

        Has the model formally undergone scientific review by a panel of international experts?

        Please note that this does not refer to the cases when model results were validated by stakeholders.

        yes

          Model validation

          Has model validation been done? Have model predictions been confronted with observed data (ex-post)?

          yes

            Transparency

            To what extent do input data come from publicly available sources?

            This may include sources accessible upon subscription and/or payment

            Based on both publicly available and restricted-access sources

            Is the full model database as such available to external users?

            Whether or not it implies a specific procedure or a fee

            no

              Have model results been presented in publicly available reports?

              Note this excludes IA reports.

              yes

              Have output datasets been made publicly available?

              Note this could also imply a specific procedure or a fee.

              no

                Is there any user friendly interface presenting model results that is accessible to the public?

                For instance: Dashboard, interactive interfaces...

                no

                  Has the model been documented in a publicly available dedicated report or a manual?

                  Note this excludes IA reports.

                  no

                  Is there a dedicated public website where information about the model is provided?

                  no

                    Is the model code open-source?

                    no

                    Can the code be accessed upon request?

                    yes

                    The model’s policy relevance and intended role in the policy cycle

                    The model is designed to contribute to the following policy areas

                    • Banking and financial services
                    • Budget
                    • Consumers
                    • Economy, finance and the euro
                    • Education and training
                    • Employment and social affairs
                    • Energy
                    • Environment
                    • European neighbourhood policy
                    • Research and innovation
                    • Single market
                    • Taxation
                    • Trade
                    • Youth

                    The model is designed to contribute to the following phases of the policy cycle

                    • Evaluation – such as ex-post evaluation
                    • Formulation – such as ex-ante Impact Assessments

                    The model’s potential

                    Macroeconomic modelling using the BeTa model is able to control for the complex economic interactions which might result from, for example, impacts of additional taxes used to fund the training entitlements. As a forecasting model, it is able to provide an assessment of medium to long-effects on output and employment.

                    Previous use of the model in ex-ante impact assessments of the European Commission

                    Use of the model in ex-ante impact assessments since July 2017.

                    2021
                    SWD/2021/369 final

                    Impact Assessment Accompanying the document Proposal for a Council Recommendation on individual learning accounts

                    Lead by
                    EMPL
                    Run by
                    Fondazione Giacomo Brodolini srl
                    Contribution role
                    baseline and assessment of policy options (indirect)
                    Contribution details
                    Documented in study :
                    • Study to support the Commission impact assessment on Individual Learning Accounts

                    Bibliographic references

                    Studies that uses the model or its results

                    No references in this category

                    Peer review for model validation

                    No references in this category

                    Model documentation

                    No references in this category

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