Abstract
We quantify the aggregate costs of a discriminatory restriction against women in the access to business resources. To do so, we develop a general equilibrium model with an endogenous size distribution of production units, which are run by either female or male entrepreneurs. In this setting, we introduce a distortion that limits the amount of capital that women can use to run their businesses. We calibrate the model to match data from benchmark economies that exhibit relatively egalitarian labor market results between women and men, except in entrepreneurship. Our counterfactual analyses show that a gender-specific capital constraint causes an output loss between 14% and 28% and a fall in aggregate productivity between 12% and 20%. Furthermore, we show that most of the output loss is accounted for by a fall in total factor productivity. Lastly, we show that the aggregate cost of the distortion is mainly triggered by preventing the most skilled women from running bigger businesses, and not the exit of women from entrepreneurship.
1 Introduction
The empowerment of women in many domains of life is one of the most important transformations in the economic and social worlds in recent decades.[1] However, a significant gender gap in entrepreneurship still persists. In OECD countries, the proportion of sole-proprietor enterprises owned by women is only between 20% and 40% (OECD 2012). Furthermore, less than 25% of businesses across the world are owned by women according to the Enterprise Surveys elaborated by the World Bank. Discrimination in the access to business resources might be blocking female participation in entrepreneurial activities, as it is implicitly suggested by the literature that studies entrepreneurship in the presence of financial frictions (Buera, Moll, and Shin 2015).
Indeed, descriptive evidence shows that women seem to have access to fewer resources than men to run their businesses (Aidis et al. 2007; OECD 2012, 2016; among others). Some studies also conclude that women entrepreneurs face worse credit conditions than men even when controlling for the firm and entrepreneur characteristics (Agier and Szafarz 2013; Aristei and Gallo 2016; Morazzoni and Sy 2021; Muravyev, Schaefer, and Talavera 2009; among others). Although other supply and demand factors could be blocking the participation of women in business activities, discrimination in access to business resources is definitely a barrier to female entrepreneurship. Furthermore, this type of distortion might be preventing an efficient allocation of talent, with aggregate consequences for the economy as suggested by Hsieh et al. (2019). However, quantifying the aggregate effects of gender barriers in entrepreneurship has received little attention in the macroeconomic literature. Our paper provides a tractable starting point by analyzing the aggregate costs of a gender-specific distortion in the access to business resources.
We model a distortion that limits the amount of capital that female entrepreneurs can employ to run their businesses. The latter distortion is implicitly motivated by the evidence suggesting the existence of a gender gap in loan size and a glass ceiling effect such that the largest female projects face the highest penalty (e.g. Agier and Szafarz 2013). We insert this type of distortion into a model with heterogeneous agents and an endogenous size distribution of production units. In the model, there is a single representative household composed by female and male members who are endowed with heterogeneous managerial skills. Agents must decide whether to run a business or be employed as a production worker in someone else’s firm. Production is carried out with a span-of-control technology that uses managerial skills, capital, female labor, and male labor. Hence, more skilled managers run bigger businesses.[2] However, women can employ up to a given amount of capital to start their businesses. As production workers, agents are identical, although women and men are imperfect substitutes in production. Therefore, women and men are otherwise alike, except by their imperfect substitutability in the labor market as production workers, and the capital limit that women face to run their businesses.
We calibrate the model to match data of a benchmark economy that exhibits no labor market gender gaps, except regarding entrepreneurship. We choose Denmark, Norway, and Sweden to build the latter benchmark. Hence, we refer hereafter to the average data of Denmark, Norway, and Sweden as the data of the benchmark economy. As observed in Table 1, in the benchmark economy, the gender gap in education is practically null, the ratio of female-to-male labor force participation is close to one, the gender wage gap is tiny; however, a significant gender gap in entrepreneurship is still observed. Specifically, Table 1 shows that only about a third of individuals running a business are women in the benchmark economy. We calibrate the technology parameters of the model to match data on the size distribution of establishments and employment shares by large establishments in the benchmark economy. The gender-specific friction is calibrated to match the observed gender gap in entrepreneurship.
Gender gaps in the benchmark economy.
Denmark | Norway | Sweden | Average | |
---|---|---|---|---|
Gender gap in education | 1.5% | 0.2% | −1.8% | −0.03% |
Female-to-male LFP | 0.93 | 0.94 | 0.96 | 0.94 |
Gender wage gap | 0.05 | 0.05 | 0.08 | 0.06 |
Share of female entrepreneurs (avg.) | 0.31 | |||
OECD | 0.32 | 0.33 | 0.29 | 0.31 |
ILO | 0.30 | 0.30 | 0.27 | 0.29 |
GEM | 0.35* | 0.35 | 0.31 | 0.34 |
-
Sources: Barro-Lee Educational Attainment Dataset, OECD Gender Equality Dataset (OECD), International Labor Organization Statistics (ILO), and Global Entrepreneurship Monitor (GEM). Note: Gender gap in education is the difference between men-women in the percentage of 30–34 years olds who attained tertiary education in 2010; Female-to-male LFP is the ratio between female and male labor force participation in the population 15–64 years old in 2019; Gender wage gap is defined as the difference between male and female median wages divided by the male median wages in 2019; Share of female entrepreneurs is defined as the proportion of women in total self-employment (with or without employees). The Global Entrepreneurship Monitor reports the share of female entrepreneurs in early-stage entrepreneurship. *Latest data available for 2014.
We use the calibrated model to perform counterfactual exercises that quantify the effect of the distortion on aggregate outcomes. Specifically, we build five counterfactual scenarios which gradually and progressively loosen the capital limit for female entrepreneurs. We compare different outcomes between the counterfactual scenarios and the benchmark economy. Then, our quantitative analysis responds to the following question: How costly is a capital limit on women businesses that generates a gender gap in entrepreneurship that is similar to that observed in the benchmark economy?
We find that the gender-specific capital constraint causes an output loss between 13.7% and 28.2%.[3] Furthermore, the estimated losses in average output per efficiency unit of labor ranges from 18.2% to 33.7%, in average output per production worker ranges from 15.1% to 27.3%, and in average output per manager ranges from 24.5% to 49.3%. We also find that the distortion causes a fall in total factor productivity (TFP) between 12.2% and 19.5%. In addition, we quantify the contribution of capital intensity and TFP to the fall in output per worker. We find that the fall in productivity accounts for 65%–80% of the output per worker loss. We also show that the potential aggregate gains of releasing the distortion studied in this paper would be mostly driven by the more intensive capital utilization of existing female entrepreneurs (intensive margin) and not by the entry of more women into entrepreneurship (extensive margin).
Several articles have studied the relationship between gender inequality and economic performance (Doepke and Tertilt 2009; Esteve-Volart 2009; Fernandez 2009; Galor and Weil 1996; Greenwood, Seshadri, and Yorukoglu 2005; Lagerlof 2003; Ngai and Petrongolo 2017; among others).[4] However, few papers quantify the macroeconomic effects of gender gaps in the labor market (Cavalcanti and Tavares 2016; Cuberes and Teigner, 2016; Cuberes and Teigner, 2018; Hsieh et al. 2019). Our goal in this paper is to contribute to this literature by analyzing the macroeconomic effects of a specific distortion that directly impacts the gender gap in entrepreneurship; namely, women’s limited access to business resources. As discussed previously, evidence suggests that this distortion is indeed relevant, although their aggregate costs have not been quantified thus far.
The rest of the paper is organized as follows. Section 2 discusses evidence of discrimination against women in the access to business resources. Section 3 develops the theoretical framework. Section 4 describes the calibration strategy. Section 5 presents and discusses the results of this paper. Finally, Section 6 concludes.
2 Literature Review
Evidence shows that gender barriers in entrepreneurship still exist. According to the World Bank Business Surveys, less than 25% of businesses worldwide are owned by women. Meunier et al. (2017) analyze data on female and male entrepreneurship from the World Bank Group Entrepreneurship Database and find that less than a third of the new owners of limited liability companies are women in most of the economies analyzed. Similarly, the OECD (2016) reports that women in the European Union were half as likely as men to be self-employed and women are also less likely than men to participate in business start-ups. Piacentini (2013) shows that, across the majority of OECD countries, the share of women-owned individual enterprises does not exceed 30%. The Global Entrepreneurship Monitor (GEM 2021) also concludes that men are more likely to start new businesses than women. In addition, the 2016 Report of the United Nations Secretary-General’s High-Level Panel on Women’s Economic Empowerment provides strong evidence that women lag behind men in terms of number of business owners, size of women-owned businesses, and their access to economic resources; specifically, women-owned businesses are smaller and disadvantaged in their access to credit, resources, and assets (UN 2016). Morazzoni and Sy (2021), using data from the U.S. Census for 2018, report that women entrepreneurs make up just over 35% of the entrepreneurial pool in the U.S. Consequently, Morazzoni and Sy conclude that gender gaps in labor market participation are more severe for employers than for salaried workers.
Non-causal evidence suggests that women face worse conditions than men to access business resources, which raises a barrier to female entrepreneurship. The OECD (2012) reports that, in the United States, 60% of female entrepreneurs start with resources less than US$5000, compared to 42% of male entrepreneurs. The same report shows that 39% of U.S. women entrepreneurs started their businesses with credit from a bank compared to 47% of male entrepreneurs; European countries exhibit similar results. OECD data also reveal that women entrepreneurs have less access to business financing than men; for example, only 36% of Danish and 41% of Swedish women business owners report having access to the resources necessary to grow their businesses, compared to 46% of Danish and 50% of Swedish male business owners (OECD 2016). The IFC of the World Bank has estimated that, worldwide, there is a financing gap of US$300 billion for formal small businesses owned by women, and more than 70% of small and medium enterprises owned by women have inadequate or no access to financial services. Along the same lines, Morazzoni and Sy (2021) report that, in 2018, women received only 2.2% of total U.S. venture capital financing. In addition, in developing countries, access to finance is commonly noted as an important barrier to business success. For example, Aidis et al. (2007), using data from Lithuania and Ukraine, show that access to funds was a more important barrier to advancement for women business owners than for men.
Therefore, non-causal evidence is relatively robust about a fact: on average, women seem to start their businesses with less resources than men. However, the latter is an equilibrium result that entails both supply and demand effects of a diverse nature. In this regard, some studies, mainly outside the U.S., provide causal evidence suggesting the existence of discrimination in access to business resources, a barrier to female participation in business activities. We now briefly discuss some of those studies.
Morazzoni and Sy (2021), using credit data comprising nearly 5000 U.S. entrepreneurs, document evidence of gender differences in business access to credit. Specifically, after controlling for individual and firm characteristics, the authors find that, compared to men, women entrepreneurs raise 35% less business debt[5] and are 10% more likely to be rejected when applying for a bank loan. Furthermore, the authors conclude that the higher rejection rates cannot be empirically explained by higher risk from women-led businesses or lower profitability from these businesses. Therefore, Morazzoni and Sy (2021) provide empirical evidence that credit restrictions appear to penalize women entrepreneurs relatively more; not only do women entrepreneurs report lower levels of business debt than men, but among those who apply for a loan, women are also more likely to be rejected. The authors also develop a model of heterogeneous agents, business choice, and gender-specific financial frictions; relying on a counterfactual analysis, they show that eliminating gender differences in financing leads to a 16% increase in female entrepreneurship rates.
Agier and Szafarz (2013) use a database that includes 34,000 loan applications from a Brazilian microfinance institution over an eleven-year period to study whether male and female borrowers benefit from the same credit conditions.[6] The authors then compare the attribution of loans to male and female applicants with similar creditworthiness characteristics. The authors find a gender gap in loan size; that is, in similar circumstances, the size of the loan is biased in favor of male clients and therefore women face harsher loan conditions than men. The authors also confirm the presence of a glass ceiling effect, that is, the largest female projects face the highest penalty.
Aristei and Gallo (2016) provides empirical evidence on gender differences in access to credit for firms in European transition economies. The authors find that the probability of credit rationing against female firms is not explained by observed characteristics of firms. The authors interpret the latter result as evidence of gender discrimination in credit markets.
Using a large sample of small and medium-sized European companies, Moro, Wisniewski, and Mantovani (2017) find that businesses run by women are less likely to apply for a loan, as they anticipate being rejected.[7] As a consequence, companies run by women obtain less bank financing. However, the authors cannot rule out that women exclude themselves due to their perception that banks will discriminate against their gender. In this regard, Bellucci, Borisov, and Zazzaro (2010) find that women entrepreneurs in Italy are more likely to be denied credit and therefore may be more discouraged from applying for a loan.[8]
Muravyev, Schaefer, and Talavera (2009) use the Business Environment and Business Performance Survey to study gender discrimination in small business lending in 26 Central and Eastern European transition economies and several Western European industrialized nations. The authors provide evidence that women-owned businesses are less likely to obtain a bank loan. Cavalluzzo, Cavalluzzo, and Wolken (2002) also find evidence of a credit access gap between firms owned by white males and white females in the U.S., with female denial rates increasing with lender concentration.
Overall, the evidence shows that women do face worse credit conditions than men. Causal evidence supports the conclusion that gender discrimination is a factor that could explain a gender gap in access to credit, although other demand-driven explanations cannot be ruled out. From a quantitative point of view, the aggregate impact of gender barriers in entrepreneurship has received little attention in the macroeconomic literature. Our paper contributes in that direction by providing a tractable model to study the impact on aggregate outcomes of removing a gender-specific capital distortion.
3 Model
We build a one-sector aggregative model in which production is carried out by heterogeneous establishments run by two types of agents: women and men. Each type of agent can also work as a production worker in the establishment run by someone else. This benchmark model is exposed to a supply-driven distortion to female entrepreneurship.
3.1 Preferences
There is a single infinitely lived representative household in the economy. The household comprises at time t a continuum of members of size L t . The size of the household (population) grows at the constant rate x L .[9] The members of the household are of two types: women (f) and men (m). We denote by θ i the fraction of the population of type-i, for i ∈ {f, m}. The household preferences are described by a time-additively separable utility function over sequences of per capita consumption, c t . The representative household gets flow utility from per capita consumption and maximizes:
where β ∈ (0, 1) is the discount factor for the future.
3.2 Endowments
The household is endowed with a positive (aggregate) stock of capital at date t = 0, that is, K0 > 0. In addition, each household member is endowed with z units of managerial skills. We denote by g(z) the density function of skills, with c.d.f. G(z), and support in Z = [z l , z h ]. The distribution of skills is identical for women and men. Household members are also endowed by one unit of time which they inelastically supply in the labor market as either managers or production workers. We describe later the agents’ occupational choice and the associated income in detail.
3.3 Production Technology
Each establishment – a production unit – produces a homogeneous output. Production is carried out using labor (n), capital (k), and managerial skills (z). Specifically, women’s labor, n f , and men’s labor, n m , are combined in a CES function with an elasticity of substitution given by σ:[10]
where
This nested CES function n that aggregates women’s and men’s labor is then combined with capital using a Cobb–Douglas aggregator:
where α ∈ (0, 1). Output q is combined with managerial skills using a Cobb–Douglas aggregator:
where the term A is common to all production units, and accounts for exogenous productivity growth at a constant rate x A . The parameter ζ ∈ (0, 1) governs returns to scale in variable factors at the establishment level, that is, it is the span-of-control parameter.
3.4 The Problem of a Type-z Manager
A manager with skills z maximizes profits by taking wages and the rental price for capital services as given.[11] The static maximization problem of a type-i agent with skills z is
where R is the rental price for capital services and w j is the wage of labor type-j for j ∈ {f, m}.
The first order conditions of the maximization problem are:
We use Eqs. (6)–(8) to compute the relative demand of inputs for a type-i manager with skills z. Appendix A provides a formal derivation of these demands.
3.5 Occupational Choices
Agents must decide in each period whether to operate a single productive unit or work for a wage. We denote by M = {w
f
, w
m
, R} the market prices of labor and capital inputs. Let
and thus, labor market earnings of an agent i, can be expressed as:
Therefore, the income per capita generated by members of type i is
3.6 The Household Problem
The representative household must choose the sequence of per capita consumption, the sequence of aggregate capital to carry over to the next period, and the occupation of its members, taking all prices as given:
where C t is aggregate consumption at date t, that is, C t = L t c t , δ is the depreciation rate of capital, and the occupational choice is described by (9). The first order conditions for per capita consumption and aggregate capital produces the standard Euler equation for capital accumulation:
Notice that Eq. (9) satisfies the first order condition for the occupation choice of agents.
3.7 Market Clearing
We derive now the market clearing conditions of the model. The market clearing condition for capital requires that the aggregate capital that the representative household optimally carries over to the next periods equals the aggregate demand for capital by the productive units:
The market clearing condition for labor market services must equal the supply and demand of production labor. The supply of each type of labor service is determined by the occupational decisions of women and men. Demand is determined by the number of agents of each type that decide to run an establishment and their demands for each type of production labor (women and men). Then,
for j ∈ {f, m}. Finally, the market clearing condition for the unique good produced in this economy is given by:
The left-hand side of Eq. (16) is aggregate income, whereas the right-hand side is aggregate consumption plus aggregate investment.
3.8 Equilibrium
A competitive equilibrium is a set of allocations
3.9 Capital Constraint for Female Business Owners
In the model economy, women face an exogenous constraint in their access to business resources. The distortion takes the form of a ceiling
Consider first the partial equilibrium. As a direct consequence of the span-of-control production technology, more skilled women run bigger businesses, and thus, rent larger amounts of capital. Hence, the capital limit

Partial equilibrium analysis.
We now analyze the general equilibrium. Let us start from the scenario depicted in panel (a) of Figure 1; that is, the case in which the capital limit is not binding for the marginal women entrepreneurs. Thus, the distortion does not exert a direct effect on the number of entrepreneurs. This is the partial equilibrium effect analyzed previously. However, existing female entrepreneurs are constrained in their use of capital and must run smaller businesses as a consequence of the distortion. Those firms demand less production labor which pushes wages down.[15] Hence, profits go up and the choice of running a business becomes more attractive for both women and men. Formally, the threshold managerial skill falls; that is

General equilibrium analysis I.
Let us start now from the situation depicted in panel (b) of Figure 1. In this case, the direct effect of the capital limit is a fall in the number of female entrepreneurs, the partial equilibrium effect. Furthermore, existing female entrepreneurs are constrained by the distortion, run smaller businesses, and thus, demand less production labor. Hence, supply of female production labor rises and demand falls which unambiguously pushes wages down and profits up. For women, this is a second round effect, and thus, female entrepreneurship falls, although in a lesser magnitude compared to the partial equilibrium depicted in panel (b) of Figure 1. In the case of men, the fall in wages and rise in profits increases the number of entrepreneurs. Therefore, as first order effects, female entrepreneurship falls, whereas the opposite occurs for men. Figure 3 illustrates this case.

General equilibrium analysis II.
4 Calibration
We calibrate the model to match observations of a benchmark economy, which we build using the average data for Denmark, Norway, and Sweden. As discussed in the introductory section, these economies are close to gender equality in the labor market, except regarding entrepreneurship.[16] We now explain the specific data used to calibrate the model.
We choose a model period of a year. Along the balanced-growth path, consumption per capita and output per capita grow at a common rate xc. To compute xc, we consider the average annual growth rate of real GDP per capita in the benchmark economy during the period 1971–2019. Using data from the World Bank WDI dataset, we get xc = 0.018. The U.S. Bureau of Economic Analysis (BEA) provides estimates of depreciation rates for different types of assets. This technological parameter should not be very different between the U.S. economy and our benchmark economy, so we take BEA data to calibrate this parameter. Specifically, we assume that the stock of capital is comprised of private nonresidential equipment and structures. We consider the simple average of the depreciation rates reported by the BEA for these types of assets to calibrate δ = 0.0978. In addition, in the model, ζα equals the share of capital. As we will explain later, we follow Guner, Ventura, and Xu (2008) to calibrate ζ. Then, we pick α such that ζα equals the capital income share of 30% observed in the U.S. data. The elasticity of substitution between women and men, σ, is calibrated to match the observed gender wage gap in the benchmark economy. Labor force participation is assumed to be egalitarian across gender in order to let the elasticity of substitution σ capture the whole gender wage gap that is observed in the benchmark economy. The discount factor β takes the standard value of 0.95 reported in the literature.
We now explain how we calibrate the span-of-control parameter, ζ, and the distribution of managerial skills. The span-of-control parameter, ζ, and the parameters governing the distribution of managerial abilities g(z) determine the size distribution of establishments, that is, the mean establishment size, the range of employment levels, as well as the share of total labor employed by establishments of different sizes. Following Guner, Ventura, and Xu (2008), we calibrate g(z) and ζ to match data on the fraction of establishments at different employment levels, and the share of total employment accounted for by large establishments. We use data from Eurostat Structural Business Statistics to compute the following targets: (i) mean establishment size, (ii) the fraction of establishments with 0–9 employees, 10–19 employees, 20–49 employees, 50 or more employees, and (iii) the share of total employment accounted for by large establishments, defined as those with 50 or more employees. We then select ζ and g(z) to match these statistics. As in Guner, Ventura, and Xu (2008), we assume that log-managerial ability is distributed according to a (truncated) normal distribution with mean m and variance s2, and we impose that this distribution accounts for the bulk of production units, with a total mass of
Hence, there are seven parameters, σ, ζ, m, s2,
Calibrated parameters.
Parameter | Value | Explanation |
---|---|---|
Productivity (A) | 1 | Normalization |
Labor force participation (θf = θm) | 0.5 | Normalization based on data |
Discount factor (β) | 0.95 | Extracted from literature |
Output per capita growth (xc) | 1.8% | Extracted from data |
Depreciation rate (δ) | 0.0978 | Extracted from data |
Share of capital (ζα) | 0.3 | Extracted from data |
CES elasticity (σ) | 1.1357 | To match data |
Span-of-control (ζ) | 0.6219 | To match data |
Mean log-entrepreneurship skills (μ) | −0.3989 | To match data |
Variance of log-entrepreneurship skills (s2) | 4.9929 | To match data |
Highest entrepreneurship ability
|
2944 | To match data |
Mass of highest entrepreneurship ability
|
0.0022 | To match data |
Capital limit
|
5.2860 | To match data |
Performance of the model.
Statistic | Data | Model |
---|---|---|
Gender wage gap | 0.06 | 0.06 |
Fraction of female entrepreneurs | 0.31 | 0.33 |
Mean firm size | 5.90 | 5.94 |
Fraction of establishments at: | ||
0–9 employees | 0.92 | 0.91 |
10–19 employees | 0.043 | 0.049 |
20–49 employees | 0.025 | 0.028 |
50+ employees | 0.014 | 0.016 |
Share of employment at: | ||
50+ employees | 0.54 | 0.56 |
Untargeted observations: | ||
Total fraction of entrepreneurs | 0.09 | 0.11 |
Relative proportion of female/male entrepreneurs | 0.45 | 0.49 |
5 Results
In this section we estimate the aggregate costs of the distortion described in Section 3.9. To do so, we build five counterfactual scenarios which gradually and progressively loosen the capital limit for female entrepreneurs. The first scenario reduces by 10% the gap between
Aggregate output, Y, is the total production carried out by both female and male entrepreneurs:[19]
where
In this first analysis, we also compute the ratio of the average output produced per female manager in the counterfactual scenario to the output produced in the baseline scenario, rf. This outcome is used to discuss the results for aggregate output losses, and we define it as follows:
where
Table 4 presents the results. We observe that the distortion causes a fall in aggregate output between 13.7% and 28.2%, depending on the counterfactual scenario considered. Counterfactual S1 implies that the distortion causes an output loss of 13.7%. In the case of the second and third counterfactuals (S2 and S3), we observe a fall in aggregate output by 16.3% and 19.5%, respectively, which is somewhat higher compared to the first scenario. Next, when comparing the baseline economy with one in which all women are unconstrained, except superstar managers, that is, scenario S4, the distortion causes an output loss of 21.7%. Lastly, output loss reaches 28.2% when the baseline economy is compared with a frictionless economy (S5).
Aggregate output losses in benchmark relative to counterfactuals.
S1 | S2 | S3 | S4 | S5 | |
---|---|---|---|---|---|
Aggregate output, Y (%) | 13.7 | 16.3 | 19.5 | 21.7 | 28.2 |
Ratio output per female manager, rf (level) | 4.1 | 4.8 | 5.9 | 6.8 | 9.9 |
Therefore, our counterfactual analysis suggests significant potential output gains derived from a small loosening in the capital limit for women entrepreneurs. However, potential gains are marginally smaller when the capital limit is further loosened. An exception to the latter occurs when the economy moves from a scenario where only the superstars are constrained to one where no women face a capital limit. The intuition behind the latter is as follows. The distortion forces women to run smaller businesses than what would be the optimal size, causing the marginal product of capital to be well above the rental price of it. Indeed, we observe in the second row of Table 4 that the ratio of the average output produced in establishments run by women in the counterfactual scenario to the output produced in the baseline scenario ranges from 4.1 (S1) to 9.9 (S5). Therefore, a small loosening of the distortion allows women to materialize the high marginal product of capital, but these benefits begin to evaporate when capital use becomes more and more intensive. However, superstar managers are highly skilled compared to the mass of managers, and thus, capital-skill complementarity in production counters somewhat the effect of capital intensity on the marginal product of capital. Hence, the marginal productivity of capital is still significant in businesses run by superstar female managers.[20]
Next, we evaluate three measures of output per worker. Concretely, we build the average output per efficiency unit of labor, q1, as
the average output per production worker, q2, as
and the average output per manager, q3, as
Table 5 presents the results using the same counterfactual scenarios as in Table 4. We observe that average output per efficiency unit of labor falls by 18.2% when the distortion considered in S1 moves to the level
Average output per worker losses in benchmark relative to counterfactuals.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
Output per efficiency unit of labor, q1 | 18.2 | 21.2 | 24.6 | 27.0 | 33.7 |
Output per production worker, q2 | 15.1 | 17.3 | 20.0 | 21.8 | 27.3 |
Output per manager, q3 | 24.5 | 29.5 | 35.0 | 38.9 | 49.3 |
Our next outcome measures aggregate productivity losses. We calculate this variable in two alternative ways. The first measure (TFP1) considers TFP as the residual from an aggregate technology under a capital share of αζ and labor share of 1 − αζ, with no distinctions between workers and managers in the labor force. Concretely, we calculate
where
The second measure (TFP2) considers a separation between workers and managers by their efficiency units and define aggregate labor as
In this case, we have
We present in Table 6 the results for TFP. We observe that aggregate TFP falls between 12.2% and 19.5% as a consequence of the distortion. In this case, we observe moderate gains, in terms of TFP, from moving across the five counterfactual scenarios considered in Table 6.
TFP losses in benchmark relative to counterfactuals.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
TFP1 | 12.3 | 13.9 | 15.8 | 17.2 | 19.4 |
TFP2 | 12.2 | 13.8 | 15.8 | 17.2 | 19.5 |
Overall, this subsection shows that the capital limit
Erosa (2001) analyzes financial frictions that arise from costly intermediation. The author estimates gains in output per capita of 40% from eliminating this type of distortion. Buera, Kaboski, and Shin (2011) analyze aggregate cost from financial frictions that take the form of imperfect enforceability contracts. The authors find that the aggregate TFP of the country with the least financial development would be almost 40% below the U.S. level. Greenwood, Sanchez, and Wang (2013) examine what they call the capital deepening and reallocation effects from financial intermediation. The analysis performed by the authors suggests that a country like Uganda could increase its output by 116% percent if it could adopt the world’s best practices in the financial sector which, however, amounts to only 29% of the gap between Uganda’s potential and actual output. Midrigan and Yi Xu (2014) analyze financial constraints arising from limits on the amount of debt and equity that agents can issue. They find that financial frictions may reduce the level of aggregate TFP by up to 40%. Hence, this brief discussion suggests that our results are somewhat smaller than those triggered by other frictions in the capital market, although still significant.[21]
5.1 Decompositions
In this section, we analyze the aggregate effects of the distortion triggered by the capital limit
5.1.1 Accounting for Losses
We quantify now the contribution of capital intensity and TFP to the fall in output per worker. To do so, we perform two decompositions that are consistent with the two measures of TFP defined by Eqs. (22) and (26). Implicit to the definition TFP s , for s = 1, 2, we have the following aggregate production function:
where L1 = L and
where X
a
represents the difference of the logarithm of variable a between the baseline and the counterfactual scenario. Then, we have that the relative contribution of capital intensity and aggregate productivity is
Table 7 shows the decomposition implied by Eq. (28). We observe that aggregate productivity contributes by about 65%–80% to the fall in output per worker, whereas the fall in capital intensity contributes to the rest.[22]
Contribution to output per worker losses.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
Output Y1/L1 | |||||
Capital intensity | 18.9 | 21.5 | 23.7 | 24.6 | 34.6 |
TFP | 81.1 | 78.5 | 76.3 | 75.4 | 65.4 |
Output Y2/L2 | |||||
Capital intensity | 18.8 | 21.4 | 23.6 | 24.5 | 34.6 |
TFP | 81.2 | 78.6 | 76.4 | 75.5 | 65.4 |
5.1.2 Intensive versus Extensive Margin
As discussed in Section 3.9, the capital limit of
where
Next, we define the intensive margin effect, IM as
where
Extensive versus intensive margin.
S1 | S2 | S3 | S4 | S5 | |
---|---|---|---|---|---|
IM/EM | 6.5 | 8.8 | 12.3 | 15.4 | 30.8 |
We observe that the bulk of output losses come from the fact that female entrepreneurs who stay producing in spite of the distortion run smaller businesses, that is the intensive margin effect. The contribution of women who move to production labor is indeed small, as observed in Table 8. Those are low skilled women who run small businesses, and thus, their exit from entrepreneurship causes small output losses.
Then, this last result implies that the potential aggregate gains from removing the distortion would be driven primarily by an increase in the scale of operation of businesses run by constrained female entrepreneurs. This finding is consistent with the evidence documented by Agier and Szafarz (2013). As discussed in Section 2, the authors find evidence on the existence of a glass ceiling effect that implies that the largest female projects face the highest penalty. The Agier and Szafarz evidence then shows that (highly productive) women run smaller businesses than identical men, which is consistent with the considerable intensive margin effect that we found.
The results presented in Table 8 are also consistent with evidence that shows that women run smaller business than men in terms of different dimensions. For example, Bruhn (2009) finds that women-owned businesses in Latin America tend to be smaller than male-owned companies in terms of sales and number of employees. Sabarwal and Terrell (2009) also study the performance of women-owned businesses in Latin America and find that women-owned businesses are smaller than those owned by men in many dimensions. Furthermore, Bardasi, Sabarwal, and Terrell (2011) find that women-owned businesses in sub-Saharan Africa have sales that are 31% lower than male-owned businesses. Likewise, the research surveyed in Carranza, Dhakal, and Love (2018) shows that women-owned businesses tend to be smaller. OECD data also supports a gender gap in business size. For example, Piacentini (2013), based on the OECD-ORBIS data set, shows that, in all European countries for which data are available, women own less than 15% of the companies with the highest asset value. Specifically, the proportion of companies owned by women in the top 10% of assets ranges from 3% in countries such as Austria and Slovenia to 15% in Italy. In general, the author concludes that women rarely own large businesses and, when they do, their companies tend to be small and operate with little capital. The OECD (2012) also documents that, when women start businesses, they do so on a smaller scale than men. Then, the evidence reported by these studies is aligned with the significant intensive margin effects that we found.
6 Conclusions
We developed a general equilibrium model to quantify the aggregate consequences of a discriminatory restriction for women in their access to business resources. Our counterfactual analysis shows that a gender-specific capital restriction causes an aggregate output loss between 14% and 28% and a total factor productivity loss between 12% and 20%. About two-thirds of the output loss is explained by the fall in aggregate productivity. Furthermore, we show that the potential aggregate gains of loosening the distortion studied in this paper would be mostly driven by the more intensive use of capital among existing female entrepreneurs and not by the entry of more women into entrepreneurship.
Our findings are policy-relevant. We show significant aggregate gains from more equal access to business resources across genders. Therefore, the evidence provided in this paper supports the need for a more vigorous discussion on mechanisms to reduce sources of discrimination against women entrepreneurs that still persist. For instance, passing and enforcing anti-discrimination laws in the financial system would be a first step. Also, the evaluation of some mechanisms to encourage banks and financial institutions to hire female loan officers or, at least, to reduce discrimination in hiring policies, could create a more favorable environment for women in the capital market. Lastly, some affirmative action policies could also be considered. For example, fiscal subsidies for women-owned businesses could be implemented as a “second best option” to mitigate the aggregate effects of any type of gender-driven misallocation. However, designing support policies for women entrepreneurs is not straightforward, since the social returns of these targeted policies are difficult to quantify and monitor. Hence, potential policies must be supported by better data and stronger institutional frameworks.
Further research should focus on assessing the effectiveness of specific policies targeting women entrepreneurs and analyzing the institutional framework in which these policies are more likely to be successful. Another avenue for future research is to explore an extension of the model developed in this paper to incorporate business risk as a determinant of business activity. One way to do this is by modeling an economy with idiosyncratic uninsurable shocks, decentralized financial markets, and gender-specific financial constraints. In that type of model, a precautionary motive for saving arises, which would interact with financial restrictions of different magnitude for women and men. It would be interesting to assess whether this latter type of framework reveals new implications regarding the aggregate effects of gender-specific constraints for entrepreneurs.
Appendix A: Inputs Demands
In this appendix, we derive the demand level for each of the inputs of the production technology of our model economy. We first derive the demands from unconstrained agents, and then, the demands from constrained agents.
We use first Eqs. (3), (4), and (6) to get:
Then, we plug (A1) in (3) and use (4) to get:
Let
Next we use Eqs. (7) and (A3) to get:
where
We can substitute back (A4) in (A3) to get:
We derive now expressions for nf(z)/n(z) and nf(z)/nm(z). From (2) we get:
From Eq. (8) we compute:
We directly express:
From Eq. (6) we can get:
Let M = {wf, wm, R}. Substituting back the expressions derived for y/n, n(z), n(z)/nf(z), and (A7) into Eqs. (A8)–(A10) we can express the inputs demand system as:
We now consider the case in which
Next we use Eqs. (7) and (A14) to get:
where
From (2) we get:
Let
Then, substituting back (A18) in (A16), we can get
Appendix B: Solving the Benchmark Model
We first discretize the ability space so it contains Z n evenly spaced points between z l and z h . Then, we use a lognormal density distribution to compute the probability vector for each of the points in the space Z n . Denote by p the latter vector. Once we have built the ability space and the discrete density function for them, we solve the household problem for fixed wages and rental price of capital. In Appendix A we showed that, for unconstrained entrepreneurs:
and for constrained entrepreneurs:
Then, we use the inputs demands to compute the profits, which is the value of being a manager: π i (z; M), for i ∈ {f, m}. The value of being a production worker is simply w i . Then, considering the value of being a manager and the value of being a production worker, we build the indicator function that identifies the members of the household who become a manager:
Notice that the vector
Next, we build the aggregate demands and supply of labor and capital services. Denote by
The aggregate demand for capital services by agent type i is:
Next, we compute the aggregate demand for each of the four inputs:
Then, we compute the supply of labor inputs:
For the supply of capital we initially set
Appendix C: Additional Results
This appendix presents further analysis considering an economy in which entrepreneurial ability and labor income are correlated. This alternative model captures the idea that entrepreneurs with higher ability also have better outside options and are generally more skilled, which would enable them to earn higher wages.[24]
In general, labor income can be modeled as wz γ with γ ≥ 0. In our baseline model, we follow Guner, Ventura, and Xu (2008), Buera and Shin (2013), Buera, Moll, and Shin (2015), among others, and set γ = 0. The additional analysis presented in this appendix considers γ = 1 − ζ; that is, we set the same degree of concavity for the production function and the expression for labor income, as in Cagetti and De Nardi (2006). Then, the market clearing condition for production labor was modified accordingly to match the supply of labor in efficiency units with the demand, the model was recalibrated, and the capital thresholds that define the counterfactual scenarios were modified to make them consistent with those of the main analysis. Tables C1–C4 show the results. We observe that the magnitude of the effects is relatively similar to that of the original model, the effect being somewhat lower for some outcomes and higher for other outcomes.
Aggregate output losses in benchmark relative to counterfactuals.
S1 | S2 | S3 | S4 | S5 | |
---|---|---|---|---|---|
Aggregate output, Y (%) | 13.7 | 17.1 | 21.0 | 23.7 | 34.1 |
Ratio output per female manager, r f (level) | 2.3 | 2.8 | 3.4 | 4.0 | 7.0 |
Aggregate output per worker losses in benchmark relative to counterfactuals.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
Output per efficiency unit of labor, q1 | 16.1 | 19.8 | 24.1 | 27.0 | 37.8 |
Output per production worker, q2 | 9.9 | 11.9 | 14.0 | 15.6 | 21.8 |
Output per manager, q3 | 24.7 | 30.9 | 37.9 | 42.5 | 58.6 |
TFP losses in benchmark relative to counterfactuals.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
TFP1 | 7.1 | 8.3 | 9.8 | 11.1 | 12.1 |
TFP2 | 7.1 | 8.3 | 9.8 | 11.1 | 12.1 |
Contribution to output per worker losses.
(%) | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
Output Y 1 / L 1 | |||||
Capital intensity | 29.0 | 31.8 | 31.7 | 30.8 | 47.5 |
TFP | 71.0 | 68.2 | 68.3 | 69.2 | 52.5 |
Output Y 2 / L 2 | |||||
Capital intensity | 29.0 | 31.8 | 31.7 | 30.8 | 47.5 |
TFP | 71.0 | 68.2 | 68.3 | 69.2 | 52.5 |
References
Agier, I., and A. Szafarz. 2013. “Microfinance and Gender: Is There a Glass Ceiling on Loan Size?” World Development 42: 165–81. https://doi.org/10.1016/j.worlddev.2012.06.016.Search in Google Scholar
Aidis, R., F. Welter, D. Smallbon, and N. Isakova. 2007. “Female Entrepreneurship in Transition Economies: The Case of Lithuania and Ukraine.” Feminist Economics 13 (2): 157–83. https://doi.org/10.1080/13545700601184831.Search in Google Scholar
Aristei, D., and M. Gallo. 2016. “Does Gender Matter for Firms’ Access to Credit? Evidence from International Data.” Finance Research Letters 18: 6–75. https://doi.org/10.1016/j.frl.2016.04.002.Search in Google Scholar
Bardasi, E., S. Sabarwal, and K. Terrell. 2011. “How Do Female Entrepreneurs Perform? Evidence from Three Developing Regions.” Small Business Economics 37 (4): 417–41. https://doi.org/10.1007/s11187-011-9374-z.Search in Google Scholar
Bellucci, A., A. Borisov, and A. Zazzaro. 2010. “Does Gender Matter in Bank-Firm Relationships? Evidence from Small Business Lending.” Journal of Banking & Finance 34 (12): 2968–84. https://doi.org/10.1016/j.jbankfin.2010.07.008.Search in Google Scholar
Blau, F., and L. Kahn. 2017. “The Gender Wage Gap: Extent, Trends, and Explanations.” Journal of Economic Literature 55 (3): 789–865. https://doi.org/10.1257/jel.20160995.Search in Google Scholar
Bruhn, M. 2009. “Female-Owned Firms in Latin America: Characteristics, Performance, and Obstacles to Growth.” In Policy Research Working Paper 5122. World Bank.10.1596/1813-9450-5122Search in Google Scholar
Buera, F., J. Kaboski, and Y. Shin. 2011. “Finance and Development: A Tale of Two Sectors.” The American Economic Review 101 (5): 1964–2002. https://doi.org/10.1257/aer.101.5.1964.Search in Google Scholar
Buera, F., and Y. Shin. 2013. “Financial Frictions and the Persistence of History: A Quantitative Exploration.” Journal of Political Economy 121 (2): 409–36. https://doi.org/10.1086/670271.Search in Google Scholar
Buera, F., B. Moll, and Y. Shin. 2015. “Entrepreneurship and Financial Frictions: A Macro-Development Perspective.” Annual Review of Economics 7 (1): 409–36.10.1146/annurev-economics-080614-115348Search in Google Scholar
Cagetti, M., and M. De Nardi. 2006. “Entrepreneurship, Frictions, and Wealth.” Journal of Political Economy 114 (5): 835–70. https://doi.org/10.1086/508032.Search in Google Scholar
Carranza, E., C. Dhakal, and I. Love. 2018. “Female Entrepeneurs: How and Why Are They Different?” In Jobs Working Paper Issue No. 20. World Bank.10.1596/31004Search in Google Scholar
Cavalcanti, T., and J. Tavares. 2016. “The Output Cost of Gender Discrimination: A Model-Based Macroeconomic Estimate.” Economic Journal 126 (590): 109–34. https://doi.org/10.1111/ecoj.12303.Search in Google Scholar
Cavalluzzo, K. S., L. C. Cavalluzzo, and J. D. Wolken. 2002. “Competition, Small Business Financing, and Discrimination: Evidence from a New Survey.” Journal of Business 75 (4): 641–769. https://doi.org/10.1086/341638.Search in Google Scholar
Cuberes, D., and M. Teignier. 2014. “Gender Inequality and Economic Growth: A Critical Review.” Journal of International Development 26 (2): 260–76. https://doi.org/10.1002/jid.2983.Search in Google Scholar
Cuberes, D., and M. Teignier. 2016. “Aggregate Effects of Gender Gaps in the Labor Market: A Quantitative Estimate.” Journal of Human Capital 10 (1): 1–32. https://doi.org/10.1086/683847.Search in Google Scholar
Cuberes, D., and M. Teignier. 2018. “Macroeconomic Costs of Gender Gaps in a Model with Entrepreneurship and Household Production.” The B.E. Journal of Macroeconomics 18 (1): 1–15. https://doi.org/10.1515/bejm-2017-0031.Search in Google Scholar
Doepke, M., and M. Tertilt. 2009. “Women’s Liberation: What’s in it for Men?” Quarterly Journal of Economics 124 (4): 1541–91.10.1162/qjec.2009.124.4.1541Search in Google Scholar
Esteve-Volart, B. 2009. “Gender Discrimination and Growth: Theory and Evidence from India.” Manuscript.Search in Google Scholar
Erosa, A. 2001. “Financial Intermediation and Occupational Choice in Development.” Review of Economic Dynamics 4 (2): 303–34. https://doi.org/10.1006/redy.2000.0117.Search in Google Scholar
Fernandez, R. 2009. “Women’s Rights and Development.” In NBER Working Paper No 15355.Search in Google Scholar
Galor, O., and D. Weil. 1996. “The Gender Gap, Fertility, and Growth.” The American Economic Review 85 (3): 374–87.Search in Google Scholar
GEM. 2021. Global Entrepreneurship Monitor. Also available at https://www.gemconsortium.org/report/gem-20202021-global-report.Search in Google Scholar
Greenwood, J., A. Seshadri, and M. Yorukoglu. 2005. “Engines of Liberation.” The Review of Economic Studies 72 (1): 109–33.10.1111/0034-6527.00326Search in Google Scholar
Greenwood, J., J. Sanchez, and C. Wang. 2013. “Quantifying the Impact of Financial Development on Economic Development.” Review of Economic Dynamics 16 (1): 194–215.10.1016/j.red.2012.07.003Search in Google Scholar
Guner, N., G. Ventura, and Y. Xu. 2008. “Macroeconomic Implications of Size-Dependent Policies.” Review of Economic Dynamics 11 (4): 721–44. https://doi.org/10.1016/j.red.2008.01.005.Search in Google Scholar
Hsieh, C., E. Hurst, C. Jones, and P. Klenow. 2019. “The Allocation of Talent and U.S. Economic Growth.” Econometrica 87 (5): 1439–74. https://doi.org/10.3982/ECTA11427.Search in Google Scholar
Lagerlof, N. 2003. “Gender Equality and Long Run Growth.” Journal of Economic Growth 8 (4): 403–26.10.1023/A:1026256917489Search in Google Scholar
Meunier, F., Y. Krylova, and R. Ramalho. 2017. “Women’s Entrepreneurship: How to Measure the Gap between New Female and Male Entrepreneurs?” In Policy Research Working Paper 8242. World Bank.10.1596/1813-9450-8242Search in Google Scholar
Midrigan, V., and D. Yi Xu. 2014. “Finance and Misallocation: Evidence from Plant-Level Data.” The American Economic Review 104 (2): 422–58. https://doi.org/10.1257/aer.104.2.422.Search in Google Scholar
Morazzoni, M., and A. Sy. 2021. “Female Entrepreneurship and Financial Frictions.” Manuscript.10.1016/j.jmoneco.2022.03.007Search in Google Scholar
Moro, A., T. Wisniewski, and G. Mantovani. 2017. “Does a Manager’s Gender Matter when Accessing Credit? Evidence from European Data.” Journal of Banking & Finance 80: 119–34. https://doi.org/10.1016/j.jbankfin.2017.04.009.Search in Google Scholar
Muravyev, A., D. Schaefer, and O. Talavera. 2009. “‘Entrepreneurs’ Gender and Financial Constraints: Evidence from International Data.” Journal of Comparative Economics 37 (2): 270–86. https://doi.org/10.1016/j.jce.2008.12.001.Search in Google Scholar
Ngai, L. R., and B. Petrongolo. 2017. “Gender Gaps and the Rise of the Service Economy.” American Economic Journal: Macroeconomics 9 (4): 1–44. https://doi.org/10.1257/mac.20150253.Search in Google Scholar
OECD. 2012. Closing the Gender Gap: Act Now. Also available at https://www.oecd-ilibrary.org/social-issues-migration-health/close-the-gender-gap-now_9789264179370-en.Search in Google Scholar
OECD. 2016. Entrepreneurship at a Glance. Also available at https://www.oecd.org/gender/data/do-women-have-equal-access-to-finance-for-their-business.htm.Search in Google Scholar
Parro, F. 2012. “International Evidence on the Gender Gap in Education over the Past Six Decades: A Puzzle and an Answer to it.” Journal of Human Capital 6 (2): 150–85. https://doi.org/10.1086/666849.Search in Google Scholar
Piacentini, M. 2013. “Women Entrepreneurs in the OECD: Key Evidence and Policy Challenges Key Evidence and Policy Challenges.” In OECD Social, Employment and Migration Working Papers, No. 147. Paris: OECD Publishing.Search in Google Scholar
Sabarwal, S., and K. Terrell. 2009. Access to Credit and Performance of Female Entrepreneurs in Latin America. Washington, DC: Mimeo, World Bank.Search in Google Scholar
UN. 2016. “Leave No One behind: Taking Action for Transformational Change on Women’s Economic Empowerment.” In UN Secretary-General’s High-Level Panel on Women’s Economic Empowerment.Search in Google Scholar
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Advances
- The Macroeconomic Impact of the 1918–19 Influenza Pandemic in Sweden
- Aggregate Costs of a Gender Gap in the Access to Business Resources
- The Macroeconomic Effects of Shadow Banking Panics
- Wealth Inequality and the Exploration of Novel Technologies
- Contributions
- Learning, Central Bank Conservatism, and Stock Price Dynamics
- Progressive Taxation and Robust Monetary Policy
- The New Keynesian Phillips Curve and Imperfect Exchange Rate Pass-Through
- The Macroeconomic Impact of Social Unrest
- Interest Rates, Money, and Fed Monetary Policy in a Markov-Switching Bayesian VAR
- Un-Incorporation and Conditional Misallocation: Firm-Level Evidence from Sri Lanka
- Idiosyncratic Shocks, Lumpy Investment and the Monetary Transmission Mechanism
- Open Economy Neoclassical Growth Models and the Role of Life Expectancy
Articles in the same Issue
- Frontmatter
- Advances
- The Macroeconomic Impact of the 1918–19 Influenza Pandemic in Sweden
- Aggregate Costs of a Gender Gap in the Access to Business Resources
- The Macroeconomic Effects of Shadow Banking Panics
- Wealth Inequality and the Exploration of Novel Technologies
- Contributions
- Learning, Central Bank Conservatism, and Stock Price Dynamics
- Progressive Taxation and Robust Monetary Policy
- The New Keynesian Phillips Curve and Imperfect Exchange Rate Pass-Through
- The Macroeconomic Impact of Social Unrest
- Interest Rates, Money, and Fed Monetary Policy in a Markov-Switching Bayesian VAR
- Un-Incorporation and Conditional Misallocation: Firm-Level Evidence from Sri Lanka
- Idiosyncratic Shocks, Lumpy Investment and the Monetary Transmission Mechanism
- Open Economy Neoclassical Growth Models and the Role of Life Expectancy