How Public Investment Could Help Strengthen Iran's Growth Potential: Issues and Options*
Author: Amir Sadeghi

Contributor Notes

Author’s E-Mail Address: asadeghi@imf.org

Public investment is key to growth in developing oil-exporting countries and oil revenue is an important source of finance for public investment. Assessing the growth impact of public investment in Iran under various investment scaling-up (gradual, aggressive, and conservative) and oil price (baseline and adverse) scenarios, this paper shows that because of absorptive capacity constraint and investment inefficiency the growth outcome of an aggressive investment scaling-up is not significantly different from a conservative or a gradual scenario while its costs, in terms of fiscal adjustment, are significantly higher, especially during low oil price periods. An improvement in investment efficiency has a significant positive impact on growth outcome and leads to higher private consumption and investment. Using an oil fund, on the other hand, can help contain the size of fiscal adjustments, although it would result in a larger appreciation of real exchange rate and deterioration in the current account balance.

Abstract

Public investment is key to growth in developing oil-exporting countries and oil revenue is an important source of finance for public investment. Assessing the growth impact of public investment in Iran under various investment scaling-up (gradual, aggressive, and conservative) and oil price (baseline and adverse) scenarios, this paper shows that because of absorptive capacity constraint and investment inefficiency the growth outcome of an aggressive investment scaling-up is not significantly different from a conservative or a gradual scenario while its costs, in terms of fiscal adjustment, are significantly higher, especially during low oil price periods. An improvement in investment efficiency has a significant positive impact on growth outcome and leads to higher private consumption and investment. Using an oil fund, on the other hand, can help contain the size of fiscal adjustments, although it would result in a larger appreciation of real exchange rate and deterioration in the current account balance.

I. Introduction

Since the early 2000s, growth in Iran has been insufficient to improve real GDP per capita incomes. Sanctions and negative oil price shocks led to budget tightening and a contraction in pro-growth spending. Investment in infrastructure has been cut in half since 2012 (Figure 1). Looking ahead, lower public investment could constrain Iran’s growth potential. On the other hand, it is possible that an increase in government revenue would be followed by an aggressive scaling up of public investment.1

Figure 1.
Figure 1.

Weak Growth and Low Public Investment

Citation: IMF Working Papers 2018, 129; 10.5089/9781484345139.001.A001

Source: IMF WEO.Note: 1/ Public investment is net acquisition of nonfinancial assets in annual budget.

The purpose of this paper is to analyze how Iran could increase its public investment to achieve higher growth while preserving a fiscally sustainable path that avoids explosive and unsustainable debt or excessively tight tax policies that would be impossible for the government to maintain in the long run. Fundamentally, a relaxation of the fiscal stance to finance a large temporary increase in investment faces two hurdles. First, scaling up too abruptly leads to inefficiencies. For example, selected projects may be of lower quality, making the entire process more inefficient (Pritchett, 2000; Dabla-Norris et al., 2012; Gupta et al., 2014, Qu et al., 2014). Second, increasing investment requires building fiscal buffers, so that in case of adverse shocks, such as an unexpected decrease in oil revenue, the investment plan could still be carried out without compromising fiscal stability. Furthermore, scaling up investment may shift financial resources from the private to public sector and have a distortionary effect by increasing interest rates and crowding out private investment.

To that end, I define and examine multiple scenarios for investment scaling-up: (1) a “gradual” scenario, in which investment would increase by 3 percent of GDP over four years and would then remain stable at its 10-year, pre-sanctions (2002-2011) average of 5.2 percent of GDP; (2) a “conservative” scenario, in which the same amount of increase in public investment takes place over eight years, instead of four, before it reaches the same long-run level as in the gradual scenario; and (3) an “aggressive” scenario that, in three years, leads to the highest level of public investment in Iran in two decades, before stabilizing at the long-run level of 5.2 percent of GDP.

I also define two oil price scenarios: In the “baseline” scenario, oil prices are assumed to reach $55 a barrel by 2021, while under the “adverse scenario,” oil prices never exceed $48 a barrel.

Finally, I examine investment in an “efficient” scenario, where it is assumed that the share of nominal investment that turns into productive capital is larger, allowing us to study the growth impact of structural reforms that improve public investment efficiency when oil prices are low. I also look at the “oil fund” scenario, in which the government can deplete the National Development Fund of Iran (NDFI)2 completely. It enables us to analyze the impact of such a mechanism when oil prices are low.3

While the analysis shows that scaling up investment is viable under all scenarios, since gross debt remains on a declining path in the long run and accumulating wealth continues, the costs of an aggressive strategy are considerable. An aggressive frontloading of public investment results in 0.9 percentage points (pp) of higher growth, relative to the growth that can be achieved under the gradual scenario. However, that comes at the cost of a 1 pp higher consumption tax rate than what would be needed with the gradual approach4 (2 pp in the adverse scenario) and 4 pp higher accumulation rate of public debt in the short run (10 pp in the adverse scenario). Furthermore, there will be a larger appreciation in the real exchange rate under the aggressive public investment scenario, eroding the competitiveness of the tradables sector.

The costs are higher when aggressive public investment coincides with a period of low oil prices (adverse scenario). However, the government is better off with an aggressive investment approach when the oil price is persistently low, if it can improve the efficiency of public investment. Alternatively, when public investment is twice as efficient as in the baseline, the margin of growth, due to expansion in public investment, is larger: 2.1 pp vs. 1.0 pp in the adverse scenario. Rising efficiency does not help with the size of fiscal adjustment that is required to close the fiscal gap. Furthermore, government can also use the oil fund to decrease the size of the adjustment needed to finance the scaling up of capital expenditures. If full depletion of the oil fund is allowed, the increase in the consumption tax rate, which is needed to close the fiscal gap, will be less than 0.3 pp (compared to 2 pp in the adverse scenario), and gross debt will increase by only 1 pp (compared to 10 pp in the adverse scenario) because the government fully utilizes its financial assets. The depletion of the oil fund, however, comes with other costs, such as large appreciation of the real exchange rate and current account deficit. It will also make the economy more vulnerable to exogenous oil price shocks and compromises the stability of the macroeconomy in the medium and long run. An oil fund is necessary to smooth government consumption, and without one the swings in government revenue will transfer the volatility in the global oil prices to the economy, especially if access to international debt markets are limited (van der Ploeg, 2011).

The model has been previously applied to Mozambique (Melina and Xiong, 2013), Kazakhstan (Minasyan and Yang, 2013), Chad (IMF, 2014), and to Côte d’Ivoire, Guinea, Liberia, and Sierra Leone (Deléchat et al., 2015). A similar model has also been applied to Mongolia (Li et al., 2017).

The remainder of the paper is organized as follows: Section II introduces the model and explains its features that are important for analyzing the dynamics of growth and capital expenditure in Iran. Section III discusses the calibration issues. The results are reported in Section IV, and Section V concludes the paper.

II. The model

The paper employs a small open real economy model with fiscal policy, à la Melina et al. (2016). The model has features of the debt model of Buffie et al. (2012) and the natural resource model of Berg et al. (2013). It includes a resource fund and a range of fiscal tools, such as consumption tax, income tax, and government spending, which is further divided into consumption, investment, and transfers. The model also contains resource-abundant developing economy features, such as absorptive capacity constraint and public investment inefficiency, which makes the model suitable to study Iran. In the discussion below, I provide a non-technical explanation of the model; technical details are included in the appendix.

The model contains two types of households: optimizing households, who own firms and receive firm profits and can decide how much to spend each period and how much to save for the future, and hand-to-mouth households, who spend all their earnings each period. Households consume a basket of tradable and non-tradable goods and supply labor to both the tradable and non-tradable sectors of the economy. By solving the household problem, I obtain the demand for goods and labor supply.

There are three sectors in the economy: non-tradable goods, tradable goods, and an oil sector. Non-oil sector firms maximize their profits in a perfectly competitive environment where they determine their demand for labor and private capital, and the production function determines the supply of goods. Firms depend also on public capital to produce goods. Private capital accumulation is subject to adjustment costs. Furthermore, the gross return on capital is taxed, although part of it is rebated to optimizing households in order to help the model capture the distortions in developing countries that discourage firms from investing and match the relatively low investment-to-GDP ratios observed in developing countries. Finally, productivity in the tradable goods sector is subject to learning-by-doing externalities. The oil sector is assumed to be exogenous, for simplicity. Under the assumption that oil production is capital intensive and much investment is financed by foreign direct investment, oil output follows an exogenous process. Under the assumption that oil price is given for Iran, it is set to be exogenous.

The government uses tax and oil revenues to finance public investment, purchases, and transfers. It can also borrow domestically and internationally.5 Government purchases contain non-tradable and tradable goods, and the government consumption price index is similar to households. To account for the fact that only a fraction of total public investment typically turns into productive capital—either due to inefficiencies inherent in the investment process (Pritchett, 2000; Hulten, 1996) or because governments in developing, resource-rich countries usually spend beyond the absorptive capacity of the economy during commodity price booms—the effective public investment concept is introduced. This concept stipulates that as public investment increases, the rate of expansion in effective public investment declines, reflecting the absorptive capacity constraint.

The model also features an oil fund, which allows the government to save oil revenue that is beyond what is needed in a period to close the fiscal gap. In this model, the fiscal imbalances can be covered by withdrawing from the oil fund and using one or a combination of other fiscal policy tools available in the model, such as changing the rate of consumption or income tax, cutting or expanding public consumption, and reducing or expanding transfers to households. Moreover, the model allows our analysis to impose a pre-determined ceiling on how much consumption and income tax rates can be raised or a pre-determined floor on how much public consumption and transfers can be cut. Finally, there are fiscal rules introduced in the model that allow to control the speed of fiscal adjustments needed to close the fiscal gap.

III. Calibration

The model is calibrated to Iran. The path for oil production starts at 4 million barrels per day and increases to 5.5 million barrels by 2030. The oil price starts at $43 a barrel and increases to $55 by 2021. Under the adverse scenario, the oil price will never surpass $48 a barrel. The model is annual, and the simulation period is 15 years, from 2016-2030. The baseline calibration reflects the 2002-2011 average. Table 1, which appears later in the paper, summarizes the baseline calibration, which includes the following elements:

National accounting. According to the IMF World Economic Outlook database, the 2002-2011 average trade balance is 2 percent of GDP, government consumption and public investment are set at 11 and 2.2 percent of GDP, respectively, and private investment is set at 10 percent of GDP. We opted to set the shares of traded goods at 50 percent in private consumption and 40 percent in government purchases, as government consumption typically constitutes a larger component of nontraded goods than private consumption. The share of natural resources is assumed to be 10.5 percent of GDP at the initial steady state.

Assets, debt and grants. Iran has no concessional or external commercial debt, and domestic debt is 15.7 percent of GDP.

Interest rates. The annual interest rate on domestic debt is 15 percent. Consistent with stylized facts, domestic debt is assumed to be more costly than external commercial debt. We fix the real annual risk-free interest rate at 4 percent. The real interest rate on external commercial debt is 6 percent, and concessional loans are interest free. The annual real return on international financial assets in the oil stabilization fund is set at 2 percent.

Private production. The labor income shares in the nontraded and traded good sectors is 45 and 60 percent, respectively. In both sectors, private capital depreciates at an annual rate of 10 percent. Following Berg et al. (2013), we assume a minor degree of learning-by-doing externality in the traded good sector: ρz,T = ρy,T = 0.1. Also, as in Berg et al. (2010), investment adjustment costs are set to κNT = κT = 25.

Household preferences. The coefficient of risk aversion—σ = 2.94— implies an inter-temporal elasticity of substitution of 0.34. The model assumes a low Frisch labor elasticity of 0.10 (ψ = 10). The labor mobility parameter is set to 1, and the elasticity of substitution between traded and nontraded goods is χ = 0.44. To capture limited access to international capital markets, we set η = 1 as in Buffie et al. (2012).

Measure of optimizing households. According to the Global Financial Inclusion Database (FINDEX), 92 percent of Iranians who are at least 15 years of age had an account at a financial institution in 2014, including 87 percent of women and 97 percent of men. This suggests that only 8 percent of Iranian adults are hand-to-mouth, which means that in each period they spend all they earn during that timeframe. However, to avoid potential overestimation, I set the share of optimizing households ω to 0.75, implying that 25 percent of households spend all their income each period.

Oil Sector. Oil production shocks are assumed to be persistent with ρyo = 0.9. Based on Hamilton’s (2009) estimates, we assume resource prices follow a random walk, so ρpo = 1. The royalty rate τ0 is set to 85 percent after subtracting 14.5 percent share of national oil companies. The royalty tax rate is calibrated to match the share of oil revenue in total revenues in the data.

Tax rates. The steady-state taxes on consumption, labor, and capital are chosen so that τc = 0.06, τl = 0.10, and τK = 0.15, respectively.

Fiscal rules. The share of the oil fund is set to 10 percent of GDP, which is approximately $40 billion to $45 billion. Its balance cannot be negative. In the baseline calibration, I set the minimum balance of the oil fund to 10 percent of GDP. In an alternative scenario, I let the oil fund balance go to zero to see if it has any impact on the size of fiscal adjustment needed to weather an adverse oil price shock. Fiscal adjustments can take place through changes in consumption or income tax rates and cuts in government spending or transfers.

Public investment. In the baseline, public investment efficiency (share of investment turned into actual capital) is set to 30 percent (ε¯=0.3). As an alternative scenario, I increase the efficiency number to 60 percent and examine its consequences for the economy. The absorptive capacity constraints start binding when public investment rises above 80 percent from its initial steady state (γ¯GI=0.80). The home bias for government spending υG is set to 0.8. The smaller degree of home bias in additional spending reflects that most of the goods are imported. The output elasticity to public capital αG is set at 0.25. The annual depreciation rate of public capital δG is set to 7 percent.

IV. Assessing the Growth Impact of Scaling-Up Public investment in Iran

A. Baseline vs. Adverse Scenario

I calibrated the model to Iran and constructed three different scenarios for public investment scaling-up.6 Under the “gradual” scenario, investment increases by 3 percent of GDP over four years, from 2.2 to 5.2 percent, and remains stable at 5.2 percent afterwards. Under the “conservative” scenario, the same amount of increase in public investment takes place over eight years, instead of four, before reaching the long-run level of 5.2 percent of GDP. Finally, the “aggressive” scenario introduces a sharp increase in investment where capital expenditure reaches 6.5 percent of GDP, 7 before stabilizing at the long-run level of 5.2 percent of GDP. Furthermore, I define two oil price scenarios. In the “baseline,” the oil price gradually increases from $43 to $55 a barrel by 2021, and oil production, which is currently at 4 million barrels a day, gradually increases to 5.5 billion barrels a day by 2021. To analyze the impact of a negative oil price shock, I introduce an “adverse” scenario where the oil price will increase but does not exceed $48 a barrel.

These scenarios illustrate the dilemma for Iran where demands may be high for a “big push” that could entail costs—by requiring further adjustment down the road—and risks that reduce fiscal buffers. An aggressive frontloading of public expenditures will result in a jump of 1 pp in the consumption tax rate8 (2 pp increase in the adverse scenario) to ensure that resources would still be available to finance the investment plan, while preserving debt sustainability (Figure 2).

Public debt jumps by 4 pp in the short run (10 pp in the adverse scenario), although it would still be on a declining trend in the long run. Also, the accumulation of commercial debt by the government to cover scaling-up expenses, after the resource fund has reached its lower bound, will lead to higher interest rates.

At the cost of raising tax rates and debt accumulation, the cumulative (year-over-year) growth for 2016-2019, which is the period when the path for aggressive growth is higher than gradual or conservative growth, is only 0.9 pp higher than gradual scaling up (1.0 pp higher in the adverse scenario), and it falls below gradual and conservative growth rates in the medium run, 2019-2024, before converging to the steady state level at 5 percent (Figure 3). There will be a larger appreciation in the real exchange rate, when public investment is frontloaded aggressively, which causes concerns for government regarding its harmful impact on competitiveness in the tradables sector. Increased prices and wages due to increased demand for raw materials and labor in the non-traded goods sector will reinforce the “Dutch disease” effect of natural resource exploitation (Sachs and Warner 1999, Van der Ploeg, 2011).

B. Improvement in Public Investment Efficiency

The growth impact of public investment depends largely on the framework within which it is deployed (Figure 4). In an alternative scenario, when public investment is twice as efficient as in the baseline, economic growth is higher, in response to an expansion in public investment, 2.1 pp vs. 1.0 pp in the adverse scenario. Improving investment efficiency could be a particular hurdle for Iran, as the country still lacks the public financial management tools that ensure that investment projects are evaluated based on a cost-benefit analysis and selected accordingly. Iran could, therefore, consider first building up capacity to manage and absorb investment, a process dubbed “investing in investment” (Collier, 2011, Berg et al., 2013). The overall quality of public institutions is also crucial (Van der Ploeg and Venables, 2011, Arezki and Brueckner 2011, Arzeki et al., 2011).

C. The Potential Role of An Oil Fund

The NDFI plays a crucial role in how macroeconomic variables respond to public investment scaling-up (Figure 4). If full depletion of the oil fund is allowed, the increase in consumption tax needed to close the fiscal gap will be less than 0.3 pp (compared to 2.0 pp in the adverse scenario), and gross debt will increase by only 1.0 pp (compared to 10.0 pp in the adverse scenario). This results in the deterioration in the current account and larger appreciation of the real exchange rate, hurting the tradables sector and contributing to Dutch disease. It will also make the economy more vulnerable to exogenous oil price shocks and compromises the stability of the macroeconomy in the medium and long run.

V. Conclusion

Looking at various approaches (gradual, aggressive, and conservative) to scaling up public investment in Iran under different oil price scenarios (baseline and adverse), this paper finds that while scaling up investment is viable under all scenarios, the costs of an aggressive strategy are considerable. An aggressive frontloading of public investment results in 0.9 pp of higher growth, relative to the growth that can be achieved under the gradual scenario. However, that comes at the cost of a 1 pp higher consumption tax rate than what would be needed with the gradual approach (2 pp in the adverse scenario) and 4 pp higher accumulation rate of public debt in the short run (10 pp in the adverse scenario). Furthermore, there will be a larger appreciation in the real exchange rate under the aggressive public investment scenario, eroding the competitiveness of the tradables sector.

Structural reforms that improve the efficiency of public investment lead to larger growth margin, due to expansion in public investment: 2.1 pp vs. 1.0 pp in the adverse scenario. Efficiency improvements do not help with the size of fiscal adjustment that is required to close the fiscal gap. On the other hand, the utilization of financial assets, saved in an oil fund, by government helps to reduce the size of fiscal adjustments. Under the full depletion of the oil fund, the increase in the consumption tax rate, which is needed to close the fiscal gap, will be less than 0.3 pp (compared to 2 pp in the adverse scenario), and gross debt will increase by only 1 pp (compared to 10 pp in the adverse scenario). The depletion of the oil fund, however, compromises the stability of the macroeconomy by making it vulnerable to oil price shocks.

Overall, preserving fiscal sustainability in the case of investment scaling-up is a complex task. It puts pressure on government to increase taxes which can neutralize the impact of fiscal spending on growth. It can also lead to higher debt, which can, through higher interest rates, crowd out the private sector. To overcome these challenges and ensure that investment spending supports sustainable growth, two policies could be considered. The first is to increase non-oil revenue. This would help build space for development spending while preserving overall fiscal deficit objectives. Furthermore, increasing domestic revenue would help reduce dependency on oil revenue by increasing the share of current expenditure financed by domestic taxes and allowing more oil revenue to fund public investment. The second suggested policy would be to strengthen the government investment framework to improve the efficiency of investment spending. Furthermore, bringing a long-term perspective to fiscal policy formulation, particularly through the adoption of a medium-term fiscal framework, could be very important and helpful in managing oil price shocks.

Table 1.

Calibration of Key Parameters for Iran

article image
Figure 2.
Figure 2.

Baseline vs. adverse scenario. Y-axis is in percent deviation from the steady-state path unless stated otherwise.

Citation: IMF Working Papers 2018, 129; 10.5089/9781484345139.001.A001

Figure 3.
Figure 3.

Baseline vs. adverse scenario (continued). Y-axis is in percent deviation from the steady-state path unless stated otherwise.

Citation: IMF Working Papers 2018, 129; 10.5089/9781484345139.001.A001

Figure 4.
Figure 4.

Baseline is an aggressive investment scheme under an adverse oil price scenario. Y-axis is in percent deviation from the steady-state path unless stated otherwise.

Citation: IMF Working Papers 2018, 129; 10.5089/9781484345139.001.A001

Appendix

The appendix explains the model in details.

A. Household

There are two types of households. A fraction ω receive firm profits and have access to capital market (optimizers), and the rest, 1 − ω, are hand-to-mouth households who spend what they earn each period (non-optimizers).

Consumption

Both types of households consume a CES basket of tradable and non-tradable goods

ct=[φ1χ(ctNT)χ1χ+(1φ)1χ(ctT)χ1χ]χχ1(1)

where χ denotes the intertemporal elasticity of substitution and φ the degree of home bias. Under the assumption that composite consumption is numeraire and that the law of one price holds for traded goods, and st is the relative price of traded goods to composite consumption, the CES basket implies that the price of one unit of composite consumption is

1=[φ(ptNT)1χ+(1φ)(st)1χ]11χ(2)
Labor

Households supply labor to both traded and non-traded goods sectors where there is imperfect labor mobility

lt=[δ1ρ(ltNT)ρ+1ρ+(1δ)1ρ(ltT)ρ+1ρ]ρρ+1(3)

where δ is the share of labor in the non-tradables sector in the initial steady state and ρ > 0 governs labor sectoral mobility. The real aggregate wage rate is given by

wt=[δ(wtNT)1+ρ+(1δ)(wtT)1+ρ]11+ρ.(4)
Non-Optimizer Household

The representative non-optimizer maximizes the following utility function

U(ctNO,ltNO)=11σ(ctNO)1σκNO1+ψ(ltNO)1+ψ(5)

subject to the following budget constraint

(1+τtc)ctNO=(1τtl)wtltNO+stmt*+ztμkt1G(6)

where τc and τl are consumption and income tax rates, m* is remittances, z is government transfers, μ is user fee for consumption of public (capital) services, kG.

Optimizer Household

The representative optimizing household maximizes the following discounted present-value utility function

E0t=0βtU(cto,lto)=E0[t=0βt(11σ(cto)1σκo1+ψ(lto)1+ψ)](7)

subject to the following budget constraint

(1+τtc)cto+bt+stbt*=(1τtl)wtlto+it1bt1+it1*stbt1*+ΩtNT+ΩtT+stmt*+ztμkt1G(8)

where b and b* are domestic and foreign bonds owned by optimizing household, which pay interest after one period at i and i* rates, Ωx is profit households receive from firms in the tradables and non-tradables sectors. Furthermore, the model includes tax rebates on taxes levied on capital return and an adjustment cost associated with foreign assets and liabilities, b*. 9 the parameters in the utility function σ, ψ are the inverse elasticity of intertemporal substitution for consumption and labor supply, κ and β are disutility weight on labor and a subjective discount factor. E0 is expectation operator that along with β calculate the present discounted value of all the expected future utilities.

B. Firm

There are two types of firms, a firm that produces tradable goods and one that produces non-tradables.10 Both types of firms use labor, private and public capital.

Non-Traded Goods Sector

The non-tradables sector is perfectly competitive, and the representative firm uses the following production technology:

ytNT=zNT(kt1NT)1αNT(LtNT)αNT(kt1G)αG(9)

where zNT is productivity parameter and αG > 1 is output elasticity with respect to public capital. Constant returns to scale is assumed for other production inputs, labor and private capital.11

The law of motion for private capital includes investment adjustment costs

ktNT=(1δNT)kt1NT+[1κNT2(itNTit1NT1)2]itNT(10)

itNT represents investment expenditure in the non-tradables sector, δNT is capital depreciation rate, and κNT ≥ 0 is a cost adjustment parameter.

The representative firm in the non-tradables sector maximizes the following discounted present-value profit function weighted by the household’s marginal utility λ

E0t=0βtλtΩtNT=E0t=0βtλt(ptNTytNTwtNTltNTitNTτKrtK,NTkt1NT)(11)

where rtK,NT=(1αNT)ptNT(ytNTkt1NT) is the gross return on capital. The last term on the right-hand side captures the distortions in developing countries that discourage firms from investing. It helps match the relatively low investment to GDP ratios observed in developing countries. for simplicity, part of these taxes is rebated to optimizing households, who own the firms.

Traded Goods Sector

The tradables sector is also perfectly competitive, and the representative firm uses the following production technology

ytT=ztT(kt1T)1αT(LtNT)αT(kt1G)αG(12)

Productivity in the tradables sector is subject to learning-by-doing externalities

lnztT=ρz,Tlnzt1T+ρy,Tlnyt1T(12)

where ρz,Ty,T ≤ 1 control the severity of Dutch disease (Matsuyama, 1992; Krugman, 1987).

Similar to non-tradables sector, private capital evolves according to

ktT=(1δT)kt1T+[1κT2(itTit1T1)2]itT(14)

and each firm maximizes its discounted present-value profit

E0t=0βtλtΩtT=E0t=0βtλt(ptTytTwtTltTitTτKrtK,Tkt1T).(15)
Natural Resource Sector

Under the assumption that natural resource production is capital intensive and there is significant resource investment in developing, resource-rich countries financed by foreign direct investment, oil production follows an exogenous process:

ytoyo=(yt1oy0)ρyoexp(εtyo)(16)

where ρyo ≤ 1 and εtyo~i.i.d.N(0,σyo2) specifies the oil production shock. Under the assumption that the country output is a small portion of global supply, oil price is assumed to be exogenous which follows a similar process

pt0*po*=(pt1o*po*)ρpoexp(εtpo)(17)

where ρp0 ≤ 1 and εtpo~i.i.d.N(0,σp02) is the oil price shock. Moreover, oil price is relative to foreign goods and so government oil revenue is

Tto=st(τopto*yto)(18)

where τo is the royalty rate.12

C. Government

Using capital letters for aggregate level, the flow government budget constraint is

Tto+τtcCt+τtlwtLt+stA*+st(1+r*)Ft1*=ptGGt+Zt+(Rt1)B+stFt*(19)

where Ct=ωcto+(1ω)ctNO,Lt=ωlto+(1ω)ltNO, F* is the asset value of the oil fund earning a constant real interest rate r*, A* is foreign aid, Gt is government purchases, including government consumption GtC and government investment GtI, with a relative price to composite consumption of goods of ptG, and Zt is aggregate transfers to households. B is net aggregate government debt which includes three types of debt: 1) external concessional debt, 2) external commercial debt, and 3) domestic debt b.

Government Purchases

Government purchases (a combination of public consumption GtC and public investment GtI) are a CES basket of traded and non-traded goods

Gt=[vt1χ(GtNT)χ1χ+(1vt)1χ(GtT)χ1χ]χχ1(20)

with the same elasticity of substitution between tradables and non-tradables as private consumption. Government consumption price index, in terms of composite consumption basket, is also similar to household’s

ptG=[vt(ptNT)1χ+(1vt)(st)1χ]11χ(21)

where vt denotes the degree of home bias and since this analysis focuses on the expansion in public investment, the degree of home bias for additional government spending, vG, can be different from its steady-state value v,

vt=v+ptGGtpGGptGGt(vGv)(22)
Public Investment Efficiency and Absorptive Capacity Constrain

According to literature, public investment usually fails to meet the expected growth in developing countries—either due to of inefficiencies inherent in the investment process (Pritchett, 2000; Hulten, 1996) or because governments in developing, resource-rich countries usually spend beyond the absorptive capacity of the economy during commodity price booms.

To incorporate this feature into the model, effective public investment G˜tI is introduced as a function of public investment GtI,

G˜tI={ε¯GtI,ifγ¯tGIγ¯GIε¯(1+γ¯GI)G¯I+ε(γ¯tGI)[1+γ¯tGIγ¯GI]G¯I,ifγ¯tGI>γ¯GI(23)

Where γ¯tGI(=GtIGI1) is the public investment growth rate, relative to its steady-state value. ε¯[0,1] represents steady-state efficiency and ε(γ¯tGI)(0,1] governs the efficiency of the portion of public investment exceeding a threshold γ¯GI in percent of deviation from the initial steady state. Furthermore, ε(γ¯tGI) takes the following form

ε(γ¯tGI)=exp(ζε(γ¯tGIγ¯GI))ε¯(24)

where the parameter ςε ∈ [0, ∞) adjusts the binding degree of absorptive capacity constraint. The law of motion of public capital is

ktG=(1δG)kt1G+G˜tI(25)

where δG is public capital depreciation rate.

The Oil Fund and the Fiscal Gap

Introducing an oil fund allows to save the oil revenue that is beyond what is needed to close the fiscal gap in a period,

Ft*F*=max{FfloorF*,(Ft1*F*)+Ftinst+Ftoutst}(27)

where Ffloor is the minimum balance that government chooses to maintain,13 Ftin and Ftout represent the fiscal revenue (including oil revenue) and expenditure, such that fiscal deficit (surplus),

Xt=FtoutFtin+st(Ft*Ft1*)(28)

can be covered by withdrawing from (saving to) the oil fund, Ft*Ft1*.

Furthermore, a fiscal deficit can be covered by one or a combination of other fiscal policy tools available in the model, such as raising the consumption or income tax, cutting public consumption, and/or cutting transfers to households. Moreover, the model allows one to impose a set of exogenous constraints on how much consumption and income tax rates can be raised or public consumption and transfers cut.14 Finally, there are fiscal rules introduced in the model that allow one to control the speed of fiscal adjustments needed to close the fiscal gap and how to decide between domestic and external borrowing.15

To close the model, the non-tradables market clears,

(ptNT)χYtNT=φ(Ct+ItNT+ItT)+v(ptG)χGt(29)

And current account balance is

(Ct+It+ptGGt)Ytst(r*Ft1*+M*)=st[A*(Ft*Ft1*)](30)

where It=ItNT+ItT is total private investment, and Yt=ptNTYtNT+stYtT+Yto is real GDP.

References

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*

I am grateful to Olivier Basdevant, Selim Cakir, Christoph Duenwald, Giovanni Melina, and Catriona Purfield, fortheir comments and suggestions.

1

Fiscal policy in developing, oil-exporting countries is usually procyclical (Ilzetzki and Vegh, 2008; Villafouerte and Lopez-Murphy, 2010; Arezki and Ismail, 2010) and fiscal positions usually deteriorate during oil price booms (or improve when oil prices decline), owing to expansions (contractions) in government expenditure beyond the increase (decrease) in government revenue (Villafouerte and Lopez-Murphy, 2010).

2

NDFI is an off-budget oil fund that currently receives 20 percent of oil income annually.

3

In the baseline, the model assumes government must maintain a minimum of 10 percent of GDP in the NDFI.

4

In this model, there are various fiscal tools that government can use to finance expansion in capital expenditure, such as raising consumption or labor income taxes, cutting spending, cutting household transfers, or a combination of these. Furthermore, the government can burrow domestically, internationally, or take concessional loans. In this paper, I only use the consumption tax for fiscal adjustment because the difference in the impact of different financing methods on the endogenous variables of the model, specifically on growth, remains limited. Moreover, debt financing is not considered in this paper due to Iran’s limited access to international financial markets.

5

International borrowing is very limited for Iran and is not considered in this paper.

6

While the model allows for us to solve for public investment endogenously, this paper analyzes an exogenously-specified public investment path to incorporate historical information about Iran. For example, public investment under all scenarios will converge to 5.2 percent of GDP, which is a 10-year average of public investment (in percent of GDP) between 2002 and 2011. The highest level of public investment in the aggressive scenario, 6.5 percent of GDP, is the highest level in Iran over the last two decades.

7

The level of public investment in 2008 (6.5 percent) is the highest level of public investment in Iran over the last two decades.

8

In this model, there are various fiscal tools that government can use to finance expansion in capital expenditure: raising consumption or labor income tax, cutting spending or transfers to households, or a combination of these. In this paper, I only use the consumption tax for fiscal adjustment because the difference in the impact of different financing methods on the endogenous variables of the model, specifically on growth, remains limited. Moreover, debt financing is not considered in this paper due to Iran’s limited access to international financial markets.

9

Including tax rebates and portfolio adjustment costs improve the model to match the data better. It also ensures stationarity as discussed in Schmidt-Grohe and Uribe (2003).

10

Natural resource is assumed to be exogenous.

1111

See, for example, Baxter and King (1993) and Kamps (2004) for similar specifications.

12

This parameter is calibrated such that simulated data match the ratio of resource revenue to total government revenue.

13

As we will see later, by changing the minimum required balance we can explore the amount of adjustment needed to close the fiscal gap, in response to scaling up investment and negative oil price shocks.

14

Such exogenously determined constraints reflect the feasibility of fiscal policy adjustments.

15

More details on fiscal rules and fiscal policy reaction functions are available in Melina et al. (2014).

How Public Investment Could Help Strengthen Iran’s Growth Potential: Issues and Options
Author: Amir Sadeghi
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    Weak Growth and Low Public Investment

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    Baseline vs. adverse scenario. Y-axis is in percent deviation from the steady-state path unless stated otherwise.

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    Baseline vs. adverse scenario (continued). Y-axis is in percent deviation from the steady-state path unless stated otherwise.

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    Baseline is an aggressive investment scheme under an adverse oil price scenario. Y-axis is in percent deviation from the steady-state path unless stated otherwise.