Research Article |
Corresponding author: Andrey A. Sinyakov ( sinyakovaa@cbr.ru ) © 2024 Non-profit partnership “Voprosy Ekonomiki”.
This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits to copy and distribute the article for non-commercial purposes, provided that the article is not altered or modified and the original author and source are credited.
Citation:
Lymar MS, Reentovich AA, Sinyakov AA (2024) A commodity exporting economy under financial and trade restrictions: Aggregate and structural changes. Russian Journal of Economics 10(2): 103-129. https://doi.org/10.32609/j.ruje.10.127850
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We study the situation when a commodity-exporting economy is under sanctions and cannot use its accumulated fx-reserves or attract new fx-debt to smooth import restrictions amid slower decline of income flow from a commodity-export. Our study attempts to determine the adequate response of the economy, depending on assumptions about the possibilities of import substitution within a structural dynamic general equilibrium model calibrated on Russian data. We use a modified version of the Ramsey–Cass–Koopmans’ model to evaluate aggregate and structural changes in the economy in the shorter and longer run. We consider several scenarios with different assumptions about the efficiency of import substitution, which is defined along two dimensions (for consumers as well as for producers). The results show that trade restrictions make import substitution optimal, but only in those sectors where such substitution is relatively more effective. Limited labour resources in the economy are compensated with higher capital intensity of production in the optimistic and neutral scenarios. Reallocation of resources to build up the necessary capital intensity calls for temporarily higher saving rates. As a result, GDP may be higher, but consumption may be lower comparing to the baseline. The results mean that effectiveness of import substitution should be taken into account in decision making on industrial policy. If efficiency of import-substitution is asymmetric and biased to goods for final consumption relative to goods for investments, the structure of imported goods becomes biased to the latter. The results imply higher relative price of consumer goods.
sanctions, financial autarky, structural changes, import substitution, total factor productivity, neoclassical growth model.
In 2022, the Russian economy faced the so-called “new reality,” which was formed as a result of a series of trade and financial restrictions. First there came big financial shocks:
The result of these shocks, amplified by growing uncertainty, was a significant weakening of the ruble in Q1 2022, which, however, quickly found a new equilibrium (Fig.
In Q2 and Q3 2022, trade balance shocks came to the fore. On the import side these changes were: firstly, the curtailment of the activities of foreign companies represented in Russia and the associated reduction of their imports of materials for production and intermediate products; secondly, the logistics problems of domestic companies with the physical delivery of imports and with payments for imports. It took time for Russian business to set up the logistics. These forces led to a decrease in the value of imports.
On the export side, logistical challenges (physical delivery as well as payments) for the main Russian export goods also were raised, but for some goods they were compensated by rising prices on the world market.
In 2023, the situation reverted to the opposite scenario: the restoration of imports and introduction of new export-oriented sanctions led to a decrease in the current account. An additional factor of the imports increase in 2023 was the growth of domestic demand, financed by government spending and commercial credit. As a result, the economy is approaching the second half of 2024 with a higher level of demand than before the shocks, amid a tight monetary policy. The share of investment and government consumption in the structure of demand have increased.
To understand further transformation of the new reality and assess future dynamics of the Russian economy, it is important to consider two types of heightening risks: tightening restrictions on Russian imports and decrease in the value of exports.
The first risk is tightening restrictions on Russian imports associated with (secondary) sanctions pressure on Russia’s trading partner countries.
For modeling purposes, we consider a scenario of physical restriction of all imports by 50% with the 2019 level taken as the base. The imports remaining after the restriction are represented by consumer and/or investment goods. The specific structure of imports in the new conditions is determined endogenously in the new equilibrium.
The second risk is a decrease in the value of exports. In addition to the tightening Western sanctions, in the medium term, the global energy transition may become an important negative risk factor for Russian exports. A key element of this will be the introduction of cross-border carbon emissions regulation in the EU, and then likely in trading partner countries in Asia. Such regulation would mean lower prices for Russian exports, much of which are energy-intensive. In the model scenario, the export restrictions are weakly expressed (minus 10% with the 2019 level taken as the base). In three years, restrictions reach 50% of exports. The resulting positive trade balance is not spent on consumption and/or investment, which is partly due to the difficulties to increase imports.
The goal of this paper is to assess optimal aggregate and structural changes in the economy due to the effect of these risks. In the paper we model the optimal adjustment of a small open commodity-exporting economy to a new equilibrium in the context of the emergence of a new reality: restrictions on imports and a reduction in exports.
In the pre-sanction model world, economic agents make decisions when the economy is embedded in global production and trade chains. The fact that a part of investment and consumer goods is imported in such conditions reflects the economic inefficiency of their domestic production (the inefficiency of import substitution). Economic rationale for this may be economy of scale, for example. The presence of global brands in the domestic market, capable of providing low prices due to their large scale of production, serves as a natural economic barrier for import substitution of such goods. The exception is goods, in which the country has some comparative advantage. In other words, the “old reality” in the model is defined in such a way that the need for domestic production of import-substituting goods does not arise: resources from commodity exports are used to finance the import of consumer and investment goods, which are not economically efficient to produce within the country.
We address the following issues in the paper:
The simulation results show that trade restrictions (through an increase in the price of imports due to additional logistical costs or a decrease in export earnings to finance imports) makes import substitution optimal, but only in those sectors (goods) where such substitution is relatively more effective. These are goods in which prior to the new reality the economy was closer to the efficient production frontier, represented by the global/foreign producers. In the calibrated economy, this is the case for the production of consumer goods. Regarding capital goods (machinery, equipment), our results show that the optimal strategy is to look for channels of preserving their imports as long as possible.
Import substitution requires a reallocation of limited labor resources to the production of goods that were previously imported. If domestic analogues are comparable in their characteristics to original goods, then the optimal strategy involves the accumulation of capital in sectors, producing these goods, and an increase of capital-to-labor ratio to preserve active import substitution. But this optimal strategy is associated with a permanently lower level of consumption. Import substitution requires a buildup of capital as well as its permanent reproduction, and this limits the medium-term possibilities of creating final goods, including import-substituting goods for consumption in an environment when a country cannot increase export of such goods. As a result, GDP may even grow, but consumption will be below the base level (in the absence of shocks), that is, the share of consumption in GDP will decrease.
Asymmetry in the efficiency of import substitution between sectors leads to distortions in the structure of imported and produced goods. The low effectiveness of import substitution of capital goods requires a reorientation of imports towards investment goods. In this case, active import substitution in the consumer goods sector turns out to be optimal, but at the expense of resources reallocation within the sector from the production of original domestic goods.
The results mean that effectiveness of import substitution should play an important role in decision making on industrial policy in Russia in order for the economy to optimally adjust to the evolving new reality. Widescale import substitution is generally not optimal.
Our work contributes to the existing economic research studying the effect of sanctions on the dynamics of Russian economy, including its structural shifts. Earlier estimates have been obtained in the literature using semi-structural and structural models.
Notably, all the aforementioned papers use static modelling framework whereas in this paper we resort to a dynamic (albeit highly stylized) model. In particular, it enables us to account for the long-run consequences of disrupted trade such as declining total factor productivity.
Existing estimates for Russia are consistent with the research studies conducted for other countries.
Comparing to existing papers, which focus on positive issues, we also address normative issues — try to find the optimal reallocation of resources in the sanctions-hit economy. We do this by considering a centralized equilibrium set by a planner acting to maximize social welfare (flow of consumption). Our study attempts to determine the adequate response of the economy under the new reality of import and export restrictions, depending on assumptions about the possibilities of import substitution within a structural dynamic general equilibrium model calibrated on Russian data.
This paper seeks to explore the equilibrium and equilibrium dynamics in a modified Ramsey model with two types of goods — consumer and investment.
The problem is formulated as follows. An agent acting in the public interest aims to maximise the discounted sum of the utility flow from consumption:
∑t βt ln Ct. (1)
Fixed volume of labour L, together with capital Kt, is used to create a domestic intermediate product Yt with the Cobb–Douglas production function:
Yt = At (L)α (Kt)1– α. (2)
The dynamics of capital stock is determined by the standard relationship:
Kt = (1 – δ)Kt –1 + It, (3)
where It is gross investments.
The country imports foreign intermediate goods Impt in exchange for export (endowment), Ext.
The produced intermediate product Yt is used in several ways:
Yt = CtY + ItY + CtS + ItS. (4)
Therefore, using labour and capital, the economy has the potential to produce import-substituting intermediate consumer and capital goods, but will not necessarily do so. It depends on the solution of the optimization problem, whether it is profitable to allocate resources this way. We assume that before the introduction of restrictions, the producers do not spend resources on import substitution due to its inefficiency. To put it simply, we calibrate the efficiency indicators of import substitution as follows: even if we did impose a restriction “the output of import-substituting products is equal to zero” in times of a full economic openness, the restriction would not impact the economy’s equilibrium parameters (the restriction is “non-binding”).
An imported product Impt is an intermediate good, a portion of which Ctimp is used in the production of final consumer goods, while the remainder Itimp is used in the production of investment goods (physical capital):
Impt = Ctimp + Itimp. (5)
The final consumer good is derived by “packaging” of two types of products without any labour or capital costs: intermediate consumer products and imported consumer goods. The creation of a final consumer good can be described as follows: consumption necessitates the merging of an imported good with a domestic one. For instance, this could involve establishing a network of car dealerships (domestic service) that sell imported cars (imported goods), factories that assemble cars from imported parts, or a facility for packaging imported medicines. Prior to “packaging,” imported consumer goods can be substituted by domestic equivalents. The production function, or “packaging,” of the final consumer goods is a constant elasticity of substitution (CES) function:
.(6)
According to the model calibration, a domestic intermediate product CtY and an imported intermediate product Ctimp are imperfect substitutes. Imported consumer goods and import-substituting goods are perfect substitutes but adjusted for the quality of the domestic import-substituting product.
The parameter κC will play a significant role in the subsequent evaluation of the aggregate and structural effects of the economic adjustment to the new reality. This parameter determines the comparability of imports and their domestic equivalents. Let κC be equal to 0.1. Therefore, to replace one unit of imported goods, we need to use ten units of its equivalent. In economic terms, this can be explained as follows: imported goods last longer than domestic ones. Or, from a consumer’s perspective, imported goods are of higher quality (more delicious, etc.).
A capital good is obtained by “packaging” two products without labour or capital costs: an intermediate capital product, which requires labour and capital, and an imported capital good. Before packaging, imported capital goods can be substituted by domestic equivalents:
. (7)
In the absence of specific restrictions, an imported product Impt is exchanged on the foreign market for an export product that is constantly available and requires no production costs Ex (endowment).
Ptex Ext + Bt – (r + 1)Bt –1 = Ptim Impt, (8)
where: Ptex, Ptim are the externally set real export and import prices; r — is the constant interest rate on foreign assets/liabilities.
A key assumption concerns net foreign assets (NFA, or net external debt, if Bt > 0):
Bt ≤ Blim. (9)
We sequentially perform several types of calculations. As a starting point for model calculations, we use data on the Russian economy in 2019. We chose this year instead of 2022 because the volume and structure of the economy were not distorted by the pandemic effects. To determine the basis for comparison — the dynamics of the economy in the absence of restrictions, we make a simplifying assumption. We assume that in a completely open economy (open financial account), the amount of NFA in the model economy in 2019 is at a level corresponding to the long-run equilibrium. From 2019 onwards, the model economy stopped accumulating or spending NFA. Since the volume of NFA was positive in 2019 ($490 billion), the economy could use NFA revenues to finance the foreign trade deficit, i.e. increase imports.
Ultimately, the planner’s problem is to maximise (1) under constraints (2) – (9) setting variables Ct, Yt, It, Impt, Kt, CtY, ItY, Ctimp, Bt. In the model, for some scenarios, we assume that the production function parameter responsible for TFP could decrease with an increased share of import substitution in GDP:
At = ω × e–θ(CtS +ItS)/GDP. (10)
The following simple observation serves as empirical evidence of the following premise: in the absence of import restrictions, firms import a large number of intermediate goods. This implies that for firms it is more advantageous (from a cost or quality perspective) than acquiring domestic equivalents (import substitution).
We examine two mechanisms of import substitution efficiency:
GDP measured by the output method is composed of the value added at all stages of production, including intermediate and final goods. Since no added value is created in the production of final goods (there are no labour and capital costs), the GDP in such an economy will be made up of the value added in the production of intermediate goods. None of these goods are exported. Exports should be added as another component of GDP — this represents the flow of commodity income created without labour with specific capital, which remains constant in further calculations:
GDPt = Yt + Ext. (11)
For the optimization problem defined by the objective function (1), constraints (2) – (9), and non-negativity constraints on the control variables, we construct a Lagrangian and compute its first derivatives with respect to control variables and dual variables. For simplicity, we omit the full list of first-order conditions (which also includes “complementary slackness” conditions for removing inequality-type constraints), considering only a few of them. Under the conditions of the Baseline Scenario (see below) for all variables, except Bt, CtS, ItS, the solution will be internal, meaning the first-order conditions are the corresponding Lagrangian derivatives equalling zero. From the system of equations and “complementary slackness” conditions obtained in this way, it easily follows that if 1/β > 1 + r, then Bt = Blim.
Furthermore, it follows from the first-order conditions that for κC ≠ κI both variables CtS, ItS cannot be positive simultaneously.
(13)
(14)
where L represents the Lagrangian.
Hereinafter, when calibrating, we use the characteristics of the Russian economy in 2019: Russia’s exports, according to the data of Rosstat’s System of National Accounts (SNA), amounted to ₽32 trillion ($419 billion according to the Bank of Russia), the NFA level was $491 billion according to the Bank of Russia (₽29 trillion at the exchange rate of ₽60 per US dollar). We assume the real interest rate to be 2.5%, so the annual income in equilibrium will be 0.025 × ₽29 trillion. The capital stock was assumed to be ₽250 trillion, which is the average of two Rosstat estimates.
Firstly, we calculate the basic equilibrium and the path of convergence to this equilibrium from the starting point (2019). We call it the Baseline Scenario. In the basic equilibrium, the economy ceases to accumulate net foreign assets, maintaining them at the 2019 level. The problem is solved in all cases under the assumption of perfect foresight: at the moment of the shock, economic agents are aware of the entire future trajectory of exports, imports, and NFA. Since NFA in 2019 were positive, the economy annually received interest income from them, which could be directed towards consumption and investment. (For simplicity, we disregard a more complex problem as a basic option: the search for the best possible NFA size. This would require additional assumptions about future trajectories of income from commodity exports.) Our basic equilibrium is a hypothetical trajectory of macroeconomic indicators that corresponds to the maximum level of public welfare, under the condition of cessation of NFA accumulation from 2020. The main parameters of the basic equilibrium and other scenarios are given in Appendix
First, we calculate an alternative that involves only closure of the financial account, without imposing restrictions on the export-import flows — this is Scenario A or “reduction of NFA.” In comparison to the Baseline Scenario, the only change in such a long-run equilibrium is the NFA size. NFA shift from positive to negative, at a level equivalent to the size of the public external debt.
We then compute the Shock Scenario in three variations of the model parameters, which are responsible for the effectiveness of import substitution. In this scenario, not only does the financial account “close” and NFA decrease, but export and import flows also decline. Furthermore, the decrease in imports is more abrupt and significant than that of exports.
Therefore, the shock that we examine for the three variations of the model parameters is, firstly, characterised by restrictions on capital flows and the freezing of NFA, and secondly, by limitations on imports and exports. As a result, the economy loses the ability to use both the income from previously accumulated NFA and the NFA reserve itself to finance imports. Hence, the results of Scenario A are taken into account in subsequent calculations as part of the Shock Scenario.
In each option of the scenario, we introduce an import volume restriction (without restricting the import structure) and an export value restriction. These restrictions ensure that the economy maintains a positive trade balance after they are imposed, but it does not accumulate NFA (as per the first part of the Shock Scenario). Economic agents would like to use the export resources, though reduced, for imports, but they are unable to do so due to sanctions on import. Therefore, the central planner is challenged to find a steady state under these restrictions, where the economy formally has a positive trade balance but does not use the NFA stock: does not spend it to repay external debt (debt principal) or does not accumulate assets, but only uses a portion of it to pay interest on the external public debt.
Scenario conditions for each scenario are presented in Appendix
The dynamics in the Baseline Scenario are presented in Appendix
In Scenario A, which involves restrictions only in a form of reduced NFA through asset freezing, the changes compared to the Baseline Scenario are not very significant (see Appendix
In Scenario B, we imply the most optimistic assumptions about the effectiveness of import substitution (see Appendix
Initially, the GDP shrinks, but subsequently only partially recovers
As a result, firms do not substitute investment goods; all available financial resources (from exports) are directed towards purchasing imported investment goods. Consequently, the import of investments, along with the domestic production of complementary investment goods, which together form the basket of final investment goods, is on the rise. The capital intensity of GDP grows as well. In such an economy, there is no investment boom, as an increase in capital intensity under expensive import substitution cannot ensure GDP growth compared to the Baseline Scenario given the limited labour resources. While the capital intensity of GDP is increasing, it is significantly less than in the optimistic Scenario B.
The significant reduction in imports of consumer goods is partially offset by the production of import-substituting consumer goods. This requires cutting back on the production of original domestic goods. As a result, overall consumption decreases. Without imports or import-substituting goods, the consumption basket will be incomplete, and the consumer welfare will be even lower. Since complete import substitution is inefficient, unlike Scenario B, the economy lacks the resources to maintain the pre-shocks social welfare.
In the pessimistic scenario, the inefficiency of import substitution in the production of consumer goods is as significant as in the substitution of investment goods (see Appendix
The GDP losses in this scenario are due to several factors. Firstly, the forced use of labour and capital for import substitution, when using import substitutes in production is less efficient in terms of productivity. Secondly, a reduction in export earnings decreases aggregate demand and income. Thirdly, the shrinking economy makes substantial investments in capital unprofitable for firms as well as for society: gross investments do not cover the depreciated capital.
We have modelled the effects of financial autarky (with net foreign assets frozen) and a significant reduction in imports, and later exports, for a commodity-exporting economy in general equilibrium using a modified centralised Ramsey model. We assume that imported goods are used for “packaging” along with domestic goods in the production of final consumer goods and investment goods. We highlight differences in the optimal dynamics that maximise a standard social welfare metric, which may arise due to variation in efficiency of import substitution. By this, we imply both the comparability of domestic substitutes with imports (the higher it is, the higher the efficiency is) for the consumers and the dependence of total factor productivity on the use of substituted intermediate goods.
Trade balance sanctions make import substitution preferable, but only in sectors where such substitution is relatively more efficient. In our study, this is the production of consumer goods. If domestic substitutes are comparable to the original products in their characteristics, the best strategy involves capital accumulation, increased capital–labour ratio, and intensive import substitution (in both sectors). This is associated with a decrease in the social welfare due to limited resources in the wake of decreasing exports. As a result, GDP may increase, but consumption will be below the baseline, i.e., the share of consumption in GDP will drop.
Asymmetry in the efficiency of import substitution between sectors leads to distortions in the structure of imports and production. Inefficient import substitution of capital goods necessitates a reorientation of imports towards investment goods. If import substitution is inefficient in both sectors, the economy “eats out” its capital stock and degrades.
Our model economy is centralized, but we can speculate on the inflation response in a decentralized formulation of it. Thus, in a market economy, a shift in import demand towards import of investments, as in the neutral Scenario C, needs a significant increase in the cost of production of domestic (import-substituting) investment goods relative to consumer goods. This contributes to the reorientation of the economy towards intensive import substitution of consumer goods, which should lead to an increase in wages and prices in the consumer sector. Therefore, the asymmetry in the efficiency of import substitution favouring the consumer sector is likely to generate unwelcome inflation effects.
There is room for further research in this area. Our findings may prove beneficial not only for a realistic comprehension of the potential paths of economic development in the new reality, but also when examining the green transition effects in economies heavily reliant on hydrocarbon exports.
Parameter | Description | Value | Source |
---|---|---|---|
r | Income from Russia’s Net Foreign Assets, % per annum | 0.625 | Quarterly yield of U.S. 10-year Treasury bonds (2.5% per annum) |
β | Discount factor for consumption flow | 0.99375 | Chosen to meet the following 1/β > 1 + r |
α | Labour share in income | 0.67 |
|
A | Total factor productivity (TFP) | 0.176 | For given K, L and α to obtain Y = GDP – exports-2019 (79 trillion RUB per year, equal to 20 trillion RUB per quarter) |
L | Labour force, in millions of people | 75.4 |
|
δ | Depreciation rate, % | 5.0 | Standard value |
κC | Comparability of import substituted consumer product with imported, % of match | 70.0 | Determined by experts |
κI | Comparability of import substituted capital product with imported, % of match | 40.0 | Determined by experts |
ηC | Elasticity of substitution (the required price change) of domestic intermediate consumer goods with imports | 0.5 | Determined by experts |
ηI | Elasticity of substitution of domestic intermediate investment goods with imports | 0.3 | Determined by experts |
γC | Share of the intermediate domestic goods in the production of the final product | 0.65 | Determined by experts |
γI | Share of intermediate domestic goods in the production of investment goods | 0.25 | Determined by experts |
AC | TFP in the “packaging” function of consumer goods | 1.15 | Calculated using equation (6) and data on CY, Сimpa) |
AI | TFP in the “packaging” function of investment goods | 1.3925 | Calculated using equation (7) and data on IY, Iimpb) |
Pex | Export price | 1 | For simplicityc) |
Pim | Import price | 1 | For simplicity |
Blim | Maximum level of Net Foreign Assets (– assets, + debt), trillion rubles | –29 | Bank of Russia. NFAs at the start of 2020 amount to $490 billion, at the exchange rate of 60 RUB/USDd) |
Ex | Exports, trillion rubles | 8 | System of National Accounts 2019, annual average, Rosstat |
ω | Baseline TFP | 0.176 | Calibrated as A |
θ | TFP elasticity to changes in the import substitution share in GDP | 0.125 | Determined by expertse) |
Indicator | Value | Source |
GDP, Y | 110 | SNA Rosstat (hereinafter in current prices) |
Intermediate consumer goods, CY | 65 | See “Consumption” below |
Import-substituting consumer goods, CS | – | Not available, therefore assumed to be zero |
Intermediate investment goods, IY | 13 | |
Import-substituting investment goods, IS | – | Not available, therefore assumed to be zero |
Export, Ex | 32 | SNA Rosstata) |
Consumption, С | 76 | SNA Rosstat |
Consumption of domestic goods, CY + CS | 65 | Derived from C and Cimp: C – Cimp |
Consumption of imported goods, Cimp | 11 | Derived from imports: Imp – Iimp |
Investments, I | 25 | SNA Rosstat |
Domestic investment goods, IY + IS | 13 | Derived from: I – Iimp |
Imported investment goods, Iimp | 12 | See “Import” below |
Import, Imp | 23 | SNA Rosstat |
Consumer goods, Cimp | 11 | Derived from imports: Imp – Iimp |
Investment goods, Iimp | 12 | Investment goods and services made up around 50% in the import structureb) |
Capital stock, K | 250 | The mean of the valuation based on the residual value of 220 and the valuation based on the volume of fixed assets of 500, considering depreciation of 40% |
Quality-adjusted consumption, С | – | |
Savings rate, % | 30 | (Y – C)/Y |
Scenario parameters | Baseline calculation | Scenario A: Financial autarky and asset freeze | Scenario B: Optimistic | Scenario C: Neutral | Scenario D: Pessimistic | Additionala) | |
Scenario E | Scenario F | ||||||
External debt (NFA), ₽ trillion of 2019 | –29 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
Exports, ₽ trillion of 2019 per quarter | 8 | 8 | 7.2 up to 2023Q1 5.4 up to 2024Q1 3.6 up to 2025Q1 |
7.2 up to 2023Q1 5.4 up to 2024Q1 3.6 up to 2025Q1 |
7.2 up to 2023Q1 5.4 up to 2024Q1 3.6 up to 2025Q1 |
7.2 up to 2023Q1 5.4 up to 2024Q1 3.6 up to 2025Q1 |
7.2 up to 2023Q1 5.4 up to 2024Q1 3.6 up to 2025Q1 |
Imports, ₽ trillion of 2019 per quarter | Endogenously | Endogenously | 2.875b) | 2.875 | 2.875 | 2.875 | Unlimited |
Import of investment goods | Unrestricted | Unrestricted | Unrestricted | Unrestricted | Unrestricted | Unlimited | 0.5 |
Pim, import cost | 1 | 1 | Endogenous | Endogenous | Endogenous | Endogenous | 1 |
A (TFP) | Constant | Constant | Constant | At = ω × e–θ(CtS +ItS)/GDP | At = ω × e–θ(CtS +ItS)/GDP | At = ω × e–θ(CtS +ItS)/GDP | At = ω × e–θ(CtS +ItS)/GDP |
Production of import-substituting consumer goods, CS, ₽ trillion of 2019 per quarter | Non-binding constraint: CS = 0 | Non-binding constraint: CS = 0 | CS = 0 or CS > 0 | CS = 0 or CS > 0 | CS = 0 or CS > 0 | CS = 0 or CS > 0 | CS = 0 or CS > 0 |
Production of import-substituting investment goods, IS, ₽ trillion of 2019 per quarter | Non-binding constraint: IS = 0 | Non-binding constraint: IS = 0 | IS = 0 or IS > 0 | IS = 0 or IS > 0 | IS = 0 or IS > 0 | IS = 0 or IS > 0 | IS = 0 or IS > 0 |
κC × 100, Comparability of import substitution for consumer goods with imports, % of match | 70 | 70 | 100 | 70 | 35 | 100 | 70 |
κI × 100, Comparability of import substitution for capital goods with imports, % of match | 40 | 40 | 100 | 40 | 35 | 100 | 40 |
MATLAB code
Data type: Archive
Explanation note: The RAR archive contains MATLAB files used to calculate the model's steady state and transition dynamics to it from a given starting point. Two versions are included: with and without import restrictions.