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Erschienen in: Journal of Economic Interaction and Coordination 3/2021

13.04.2021 | Regular Article

Financial development, income and income inequality

verfasst von: George Vachadze

Erschienen in: Journal of Economic Interaction and Coordination | Ausgabe 3/2021

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Abstract

The aim of this paper is twofold. Firstly, we present a model in which both income and income inequality are jointly determined in a counter-cyclical manner via self-fulfilling expectation. We argue that multiple equilibria can arise in the presence of inelastic labor demand, a minimum investment requirement, and imperfections in the credit market. In one equilibrium, the market wage and labor income are both low. Young agents who become entrepreneurs work harder and save more than young agents who become depositors. As a result, the equilibrium is characterized by low-income and high-income inequality. In another equilibrium, the market wage and labor income are both high. Young agents supply the same amount of labor and save the same. As a result, the equilibrium is characterized by high-income and low-income inequality. Secondly, we present different dynamic scenarios predicted by the model and analyze the role of self-fulfilling expectations. The paper ends by providing some policy recommendations on how the coordination of agents’ expectations about labor market conditions and how improvements in financial development may affect the long-run income and income inequality.

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Fußnoten
1
A self-fulfilling expectation occurs when the adoption of a certain expectation about current and future economic conditions affects agents’ behavior in such a way that the expectation becomes a reality.
 
2
Agents in the proposed model face equality of opportunities, and thus, income inequality is not a result of historically shaped inequalities of opportunities, transmitted across generations through education, social position, place of birth, etc. Banerjee and Newman (1993), Galor and Zeira (1993), Aghion and Bolton (1997), Piketty (1997), Piketty (2000), Matsuyama (2000), Mookherjee and Ray (2002, 2003), and others argue that imperfections in the credit market may generate entry barriers, offer fewer opportunities for the poor, and cause the access to credit and the borrowing rate to depend on wealth and social status. As a result, long-run living standards can become dependent on the initial inequality which can persist or even be magnified over time. We do not argue that inequality of opportunities transmitted across generations is an unimportant factor for generating income inequality; instead, we argue that the endogenous income inequality is possible even when agents face equalities of opportunities.
 
3
To reduce the complexity of the model and avoid unnecessary complications, we assume here that firms employ a Leontief production technology. In “Appendix,” we relax this assumption and allow firms to employ a constant elasticity of substitution (CES) production technology. This way we demonstrate the robustness of the main results.
 
4
Of course, occupation, labor supply, and portfolio choices are not independent of each other, but we consider them in separation and connect them later to reduce the notational complexity and make the exposure of the model more intuitive. As we demonstrate below, all these choices depend on the pair \((w_t,\frac{\rho _{t+1}}{r_{t+1}})\).
 
5
To reduce the complexity of the model and avoid unnecessary complications, we assume here that agents neither value the first-period consumption nor they discount the utility from the second-period consumption. In “Appendix,” we relax both assumptions and demonstrate the robustness of the main results under alternative specifications.
 
6
Macroeconomic literature offers several alternative justifications for a partial pledgeability of a firm’s profit for debt repayment. In particular, there is a costly-state-verification approach of Townsend (1979), Bernanke and Gertler (1989), and others, a moral hazard approach of Holmström and Tirole (1997) and others and an adverse selection approach of Hart and Moore (1994), Kiyotaki and Moore (1997), and others. In this paper, we will not argue which of the above stories offer a more plausible explanation for credit market imperfection. Instead, we will rely on the reduced form approach of Matsuyama (2007), and Holmström and Tirole (2011), to parameterize the severity of the credit market imperfections and analyze its role in the joint dynamics of income and income inequality.
 
7
As we see later, \(\ell _t=0.5\) is the optimal labor supply of depositors and the rental rate of capital is equal to the interest rate, \(\rho _{t+1}=r_{t+1}\), and guarantees young agents’ indifference between becoming a depositor or an entrepreneur.
 
8
When the rental rate of capital is greater than the interest rate, \(\rho _{t+1}>r_{t+1}\), then young agents have the incentive to supply more labor than depositors do, \(\ell _t>0.5\), and earn the higher labor income in order to overcome a borrowing constraint and the minimum investment requirement for setting up a firm.
 
9
Indeed, the empirical measure of the fraction of the population who plan to become entrepreneurs is too small for changes in their labor supply behavior to have large effects on the aggregate labor supply. However, one can interpret young agents in the model more broadly as ones who are working to buy a house, send their children to college, or make other discrete choices that are associated with the minimum investment requirements.
 
10
It should be highlighted here that the equilibrium wage satisfies \(w_t \in [A,T]\) and the aggregate labor supply curve is backward bending for \(w_t \in [\lambda m, 2\lambda m]\). This means that the necessary condition for multiplicity of equilibria is the equilibrium wage to belong simultaneously to both sets [AT] and \([\lambda m, 2\lambda m]\). That is, a necessary condition for multiplicity of equilibria is \([A,T] \cap [\lambda m,2\lambda m] \ne \varnothing \).
 
11
Self-employment opportunity is eliminated when \(A=0\).
 
12
Throughout the paper, the terms (a) income and labor income, and (b) income inequality and labor income inequality, are used interchangeably.
 
13
Existence of multiple equilibria with different income levels is consistent with the empirical finding of Kar et al. (2018).
 
14
It is worthwhile to highlight here that the relationship between the next period capital stock, \(k_{t+1}\), and the current capital stock, \(k_t\), is a correspondence rather than a function when there exist multiple equilibria. This complicates the identification and statistical inference of the model. This is because for some income levels there are multiple values of income inequality levels consistent with the model. This issue is mainly ignored in the econometric literature.
 
15
\(k_M\) given in (30) is the unique solution of \(W_2(k)=1\) if \(1 \in (\lambda m,2\lambda m)\).
 
16
Almost all countries have a minimum wage. Some countries, such as France, have a universal minimum across the entire economy, while other countries, such as New Zealand and South Africa, differentiate between sectors and types of workers. Typically, the minimum wage is set by the government and is revised periodically in consultation with business and labor organizations. Italy, Sweden, Norway, Finland, and Denmark are examples of developed nations where there is no minimum wage that is required by legislation. However, these countries (especially Nordic ones) have very high union participation rates. That is, minimum wage standards in these countries are set by collective bargaining agreements.
 
17
Based on British firm-level data, Draca et al. (2011) reports that an increase in the minimum wage has a significant and negative impact on the profitability of firms but has no significant effects either on employment or on productivity.
 
18
As in Reichlin (1986) and Woodford (1986), capital–labor complementarity plays a key role for indeterminacy of equilibrium.
 
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Metadaten
Titel
Financial development, income and income inequality
verfasst von
George Vachadze
Publikationsdatum
13.04.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Economic Interaction and Coordination / Ausgabe 3/2021
Print ISSN: 1860-711X
Elektronische ISSN: 1860-7128
DOI
https://doi.org/10.1007/s11403-021-00321-w

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