Public Capital and Private Investment, a Real Option Approach

Bruno Cruz and Aude Pommeret ()

No 168, Discussion Papers from Instituto de Pesquisa Econômica Aplicada - IPEA

Abstract: In this paper, we extend the usual models of irreversible investment under uncertainty by introducing the stock of public capital as an input for the private sector. Public investment takes place in a stochastic environment. Public capital then increases the productivity of private capital which is assumed to be fully irreversible. In our model, the government has an intertemporal budget constraint, i.e. taxes are collected each period to fund the public debt. We provide a partial equilibrium analysis, as it is standard in models of irreversible investment under uncertainty. Even under uncertainty, the optimal tax rate is then constant and does not depend on the size of uncertainty, it is exactly the same as the one that would prevail in a deterministic world. We show that the government has an insurance role since it removes part of the uncertainty faced by the firm. Como o investimento público afeta a economia? A literatura econômica tem enfatizado o impacto na produtividade e no crescimento econômico. Neste artigo, adota-se uma abordagem diferente, considera-se que o investimento público pode reduzir o risco enfrentado pelo setor, estimulando novos investimentos privados. Estende-se o modelo de Pindyck (1988), onde o capital público entra na função de produção como mais um insumo. O governo tem um orçamento intertemporal equilibrado, de modo que o capital público fornecido no primeiro período é lastreado na receita futura de impostos. Mostra-se que a alíquota ótima é constante e independe da incerteza.

Pages: 31 pages
Date: 2015-01
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Related works:
Working Paper: Public Capital and Private Investment, a Real Option Approach (2006)
Working Paper: Public capital and private investment, a real option approach (2003)
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