Z. Brixiová, T. Kangoye and T.U. Yogo / Structural Change and Economic Dynamics 55 (2020) 177–189 179
credit constraints on fixed asset investments, and a subdued im-
pact on firm growth and working capital.
5
The literature has extensively discussed the links between en-
trepreneurship and small firms’ growth constraints and their lim-
ited access to financial services. Beck et al. (2005) examined the
impact of financial constraints on SMEs’ growth and found that fi-
nancial obstacles are significantly and negatively linked to firms’
growth rate, with the smallest firms being consistently the most
adversely affected. Evidence has also shown that small firms con-
sistently report higher growth obstacles than medium-size or large
firms ( Schiffer and Weder, 2001 ; Beck et al., 2005; Beck and
Demirguc-Kunt, 2006 ). Berger and Udell (1998) and Galindo and
Schantiarelli (2003) have shown that both in developing and ad-
vanced countries, small firms have a more limited access to finance
and are more growth-constrained than their large firms coun-
terparts. Using firm-level survey data, Ayyagari, Demirguc-Kunt,
and Maksimovic (2008a) and Ayyagari, Demirguc-Kunt, and Mak–
simovic (2008b) found that access to finance is firmly linked to
the performance of firms. They also evidenced that entities with
access to formal financing grow faster than those with access to al-
ternative sources of financing. This evidence is supported by other
studies that show that financially-included firms tend to have a
more efficient allocation of their asset portfolio (Claessens and
Laeven, 2004; Ayyagari, Demirguc-Kunt, and Maksimovic, 2007 ). In
the same vein, Beck et al. (2005) provided evidence that higher ob-
stacles faced by smaller firms translate into a slower growth, with
small firms’ financing obstacles having almost twice the impact on
their annual growth as compared with large firms.
In the past decade, several studies on credit constraints in
emerging market countries have been published, with several
linking credit constraints with firm creation and performance.
Aghion, Fally and Scarpetta (2007) showed theoretically and em-
pirically – analyzing data from 16 industrialized and emerging
economies –that access to finance matters most for the en-
try of small firms and helps new firms expand if successful.
6
Fowowe (2017) , who examined the impact of access to finance
with firm-level data in 30 African countries drawing on subjective
measures of financing access, found that financing is key for firm
growth. Quartey et al. (2017) found that SMEs’ access to finance in
the West African sub-region is strongly impacted by factors such
as firm size, ownership, strength of legal rights and depth of credit
information, firm’s export orientation and managerial experience.
Formality was also found to impact strongly access to credit by
SMEs.
Fraser et al. (2015) emphasize that research on entrepreneurial
financing needs to go beyond the traditional supply-side bot-
tlenecks and examine the role of entrepreneurial cognition,
motivation, stage of the firm life-cycle and ownership type
in the firms’ access to finance and performance. Similarly to
Aghion et al. (2007) , this paper examines the effects of credit con-
straints on the entry of new firms and the expansion of successful
businesses. However, we focus on a sample of 42 African coun-
tries, in contrast to 16 industrial and emerging market countries
covered in their study. In African countries, financial constraints to
entrepreneurship are amplified by unclear property rights and re-
strictions on using assets such as land as collateral. To reflect these
constraints, the framework presented below shows how credit con-
straints slow down private sector development.
5 Grimm et al (2012) analyzed capital stocksofSME in low-income countries and
found that entrepreneurs’ risk attitudes impact the stock levels, in addition to credit
constraints.
6 Emerging market countries covered were Hungary, Romania, Slovenia, Ar–
gentina, Chile, Colombia and Mexico.
3. The model
The model builds on Brixiová and Kiyotaki (1997) , Aghion et al.
(2007), and Baliamoune-Lutz et al. (2011) . The key differences of
the framework in this paper are (i) a greater emphasis on the fi-
nancial sector imperfections, including the lack of savings oppor–
tunities and (ii) the focus of the analysis on the link between
the credit constraints and firm job creation and size. The em-
phasis on the links between credit constraints and the firm size
in terms of employment also distinguished this framework from
that of Aghion et al. (2007) , where the authors do not explicitly
model employment dynamics. Finally, while our model is micro-
based and underpins the empirical testing at the firm level, it also
allows aggregation and hence has macroeconomic implications in
terms of the aggregate output, employment, labor productivity and
inequality in income.
Our model is highly relevant especially for low-income African
countries where the productive private sector has been emerging
often amid an underdeveloped financial sector, in particular the
weak enforcement laws, which contribute to high collateral re-
quirements. At the same time, long-term tangible assets that could
serve as collateral are limited, in part due to unclear property
rights. By reflecting these facts, the framework below is consistent
with a situation in many transition and African countries where
the financial sectors are dominated by banks and binding credit
constraints co-exist with excess liquidity ( Brixiová and Kiyotaki,
1997 , Baliamoune-Lutz et al., 2011 , Beck et al., 2011 ).
The economy is populated by large number of infinitely lived
entrepreneurs and workers with the population normalized to one.
The population shares for entrepreneurs and workers are μand 1-
μ, respectively. Entrepreneurs are of two types, φand 1- φ: φis
the share of those endowed with high levels of net worth (a
h
) and
(1- φ) is the share of entrepreneurs with low levels of net worth
( a
l
), where a
h
> a
l
> 0 . The net worth, a
i
, i = h, l, is entrepreneur–
specific and constant as entrepreneurs consume their profits each
period, reflecting limited savings and investment options for SMEs
in Sub-Saharan Africa. Both entrepreneurs and workers have risk
neutral preferences in consumption, c. For workers the consump-
tion in each period depends on the wage, w , when they work for
firms in the formal sector or on income b from self-employment
in the informal sector.
7 For entrepreneurs it depends on the profit
from running a firm, π, which is fully consumed each period or on
the income, ω, from self-employment in the informal sector.
The entrepreneurs of type i = h, l search for a business opportu-
nity at cost d( x
i
) = x
2
i
/ 2 γunits of the consumption good per unit
of time, where γ> 0is the parameter of search efficiency. The en-
trepreneur of type i then finds a business opportunity according to
a Poisson process with the arrival rate of x
i
and produces output
y
i
in the formal sector with labor n
i
, business capital z and physical
capital k
i
according to the following production function:
y
i
=
1
1 −α(z k
i
)
α(
n
i
)
1 −α(1)
where α, 0 < α< 1 , is the share of the total capital in the output.
The gross profit i
of an entrepreneur i with net worth a
i
who em-
ploys capital k
i and labor n
i can be expressed as:
i
= ma x
n
(
y
i
−w n
i
)
= R (K) k
i (2)
where K =
μ
∫
0
k
i
di is the aggregate capital and R (K) =
α
1 −αz w
−1( 1 −α) /αis the rate of return on investment for an in-
dividual entrepreneur; it is decreasing in the aggregate capital
7 The workers are working either in the formal private sector (in firms created
by the entrepreneurs) or in the informal sector, which we interpret as household
production. In either activity, they receive wage w .