Growth Effects of Consumption and Labour Income Taxation in an Overlapping-Generations Life-Cycle Model

Author(s):  
Ben J. Heijdra ◽  
Jochen O. Mierau
Author(s):  
Hans Fehr ◽  
Fabian Kindermann

In discussing the life-cycle model, we focused on the individual-choice problem without taking into account the interaction between households, the production sector of the economy, and the government. In this chapter we take a broader perspective and embed the life-cycle model into a general equilibrium framework. In this framework, prices adjust in order to balance supply and demand in goods and factor markets and the government has to operate under some balanced-budget rules.As in the previous chapter, individuals save in order to smooth consumption over the life cycle. However now, individual savings behaviour endogenously determines the capital stock. This is the central difference from the static general equilibrium model discussed in Chapter 3. Since in our equilibrium framework we have to distinguish households within a given period according to their age or birth year, the models we study are called overlapping generations (OLG) models. In this chapter we introduce the most basic version of the OLG model and discuss the computation of a transition path and the intergenerational welfare effects of policy reforms. In Chapter 7 we extend this baseline model version in various directions. This subsection sketches the economic environment used in this chapter and Chapter 7. We describe the lifetime of people who inhabit the economy as well as their consumption decisions. Then we move on to the production side and the government structure. Finally, the equilibrium conditions for goods and factor markets which close the model are derived. Demographics As in Chapter 5 we assume that households in the model live for three periods. For simplicity we do not account for income and lifespan uncertainty. However, now in each successive period t a new cohort is born, where the number of households Nt in this cohort grows at a rate np,t, i.e. Nt = (1 + np,t)Nt−1. From Figure 6.1 one can understand why this demographic structure is called ‘overlapping generations’. In each period t a cohort Nt is born, but this ‘new’ cohort overlaps with the two cohorts Nt−1 and Nt−2 born in the previous two periods.


1989 ◽  
Vol 39 (1) ◽  
pp. 109-126 ◽  
Author(s):  
James Davies ◽  
John Whalley ◽  
Bob Hamilton

Author(s):  
Hans Fehr ◽  
Fabian Kindermann

The discussion in the Chapters 3 and 4 centred around static optimization problems.The static general equilibrium model of Chapter 3 features an exogenous capital stock and Chapter 4 discusses investment decisions with risky assets, but in a static context. In this chapter we take a first step towards the analysis of dynamic problems. We introduce the life-cycle model and analyse the intertemporal choice of consumption and individual savings. We start with discussing the most basic version of this model and then introduce labour-income uncertainty to explain different motives for saving. In later sections, we extended the model by considering alternative savings vehicles and explain portfolio choice and annuity demand. Throughout this chapter we follow a partial equilibrium approach, so that factor prices for capital and labour are specified exogenously and not determined endogenously as in Chapter 3. This section assumes that households can only save in one asset. Since we abstract from bequest motives in this chapter, households do save because they need resources to consume in old age or because they want to provide a buffer stock in case of uncertain future outcomes.The first motive is the so-called old-age savings motive while the second is the precautionary savings motive. In order to derive savings decisions it is assumed in the following that a household lives for three periods. In the first two periods the agent works and receives labour income w while in the last period the agent lives from his accumulated previous savings. In order to derive the optimal asset structure a2 and a3 (i.e. the optimal savings), the agent maximizes the utility function . . . U(c1, c2, c3) = u(c1) + βu(c2) + β2u(c3) . . . where β denotes a time discount factor and u(c) = c1−1/γ /1−1/γ describes the preference function with γ ≥ 0 measuring the intertemporal elasticity of substitution.


2020 ◽  
Author(s):  
Oleg Malafeyev ◽  
Irina Zaitseva ◽  
Sergey Sychev ◽  
Gennady Badin ◽  
Ilya Pavlov ◽  
...  

2001 ◽  
Vol 38 (1) ◽  
pp. 16-19 ◽  
Author(s):  
Betty E. Steffy ◽  
Michael P. Wolfe

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