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2018 | OriginalPaper | Buchkapitel

Land, Housing, Growth and Inequality

verfasst von : Luigi Bonatti

Erschienen in: Getting Globalization Right

Verlag: Springer International Publishing

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Abstract

This paper incorporates productive assets, residential land and residential structures in a growth model with two social classes: capitalists, who invest in productive assets and housing but do not work, and workers, who invest only in housing and decide on their labor effort. It is shown that the relative price of land grows in the long run at the same rate as the economy’s GDP, while the quantity of housing services and their price grow slower than it. Moreover, numerical examples show that (i) shifting taxation away from income and towards the property of land enhances long-term GDP growth and leads in the long-run to more equalitarian (more favorable to workers) income and wealth distributions, (ii) a marginal increase in the fraction of investment expenditures in residential structures that is tax deductible reduces income and wealth inequality, (iii) a change in preferences giving more weight in the utility function to residential services leads in the long run to a distribution of income and wealth more favorable to capitalists, (iv) changes in taxation or in preferences increasing the fraction of total investment devoted to the accumulation of residential wealth rather than to the accumulation of productive assets brings about a balanced growth path characterized by a higher wealth-income ratio. Finally, endogenous fluctuations may be generated along the equilibrium trajectory converging to the balanced growth path, in a model where housing wealth and residential land are distinguished from productive capital and only fundamentals (initial endowments, preferences and technologies) drive the economy.

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Fußnoten
1
The hypothesis that the increase in the value of residential land that has driven up house prices displaces productive investment was explored by Stiglitz (2015b).
 
2
Phelps (1994) models economies in which a rise of the ratio between wealth per worker and wage depresses employment through its effects on labor supply. Blanchflower and Oswald (2013) document the positive link between home ownership in a geographical area and subsequent high unemployment in that area, suggesting that higher levels of home ownership reduce mobility, increase commuting times and reduce rates of business formation.
 
3
As argued by the so-called ‘new economic geography’, “firms agglomerate to benefit from ‘Marshallian externalities’ such as the spreading of knowledge among similar industries, a greater pool of labour to choose from or the ability to access indivisible goods such as conference venues or airports. Hence, when operating within proximity of each other, firms can save on transaction costs and enjoy greater productivity.” (Békés and Ottaviano 2016, p. 29).
 
4
For a recent survey of the literature on housing in macroeconomics see Piazzesi and Schneider (2016).
 
5
Notice that land’s net share of income is particularly large because land does not depreciate (all its income is net), while residential structures depreciate at a much lower rate than productive capital.
 
6
This classical dichotomy can be microfounded by assuming “that capitalists are on a corner of their labor supply decision due to their wealth, leisure being a normal good” (Judd 1985, p. 84), and that workers do not find valuable to invest in productive assets because of the information, agency and transaction costs associated with holding small amount of them.
 
7
In distinguishing between productive assets and residential assets, I follow Davis and Heathcote (2005).
 
8
Consistently with this formal set-up, one can interpret technological progress as labor augmenting.
 
9
This amounts to say that technological progress is endogenous to the economy, although it is an unintended by-products of firms’ capital investment rather than the result of purposive R&D efforts.
 
10
Given these parameter values, one has: E* = 0.33; V* = 16.881; F* = 0.1726, and \( {\mathrm{L}}_{\mathrm{w}}^{*} \) = 1.350.
 
11
For optimality, the representative worker must also satisfy the transversality conditions \( \mathop { \lim }\nolimits_{{{\mathrm{t}} \to \infty }} \rho_{\mathrm{w}}^{\mathrm{t}} {\mathrm{Q}}_{\mathrm{t}} {\mathrm{L}}_{\mathrm{wt}} \lambda_{\mathrm{wt}} = 0 \) and \( \mathop { \lim }\nolimits_{{{\mathrm{t}} \to \infty }} \rho_{\mathrm{w}}^{\mathrm{t}} {\mathrm{H}}_{\mathrm{wt}} \lambda_{\mathrm{wt}} = 0 \).
 
12
For optimality, the representative capitalist must also satisfy the transversality conditions \( \mathop { \lim }\nolimits_{{{\mathrm{t}} \to \infty }} \rho_{\mathrm{c}}^{\mathrm{t}} {\mathrm{Q}}_{\mathrm{t}} ( {\mathrm{L}} - {\mathrm{nL}}_{\mathrm{wt}} )\lambda_{\mathrm{ct}} = 0 \), \( \mathop { \lim }\nolimits_{{{\mathrm{t}} \to \infty }} \rho_{\mathrm{c}}^{\mathrm{t}} {\mathrm{H}}_{\mathrm{ct}} \lambda_{\mathrm{ct}} = 0 \) and \( \mathop { \lim }\nolimits_{{{\mathrm{t}} \to \infty }} \rho_{\mathrm{c}}^{\mathrm{t}} {\mathrm{K}}_{\mathrm{t}} \lambda_{\mathrm{ct}} = 0 \).
 
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Metadaten
Titel
Land, Housing, Growth and Inequality
verfasst von
Luigi Bonatti
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-97692-1_6