Showing papers on "Precautionary savings published in 1995"

Unemployment Insurance and Precautionary Saving

Abstract: We consider both theoretically and empirically the effect of unemployment insurance (UI) on precautionary savings behavior. Simulations of a stochastic life cycle model suggest that increasing the generosity of UI will substantially lower the asset holdings of the median worker, and that this effect will both rise with unemployment risk and fall with worker age. We test these implications by matching data on potential UI replacement rates to asset holdings in the Survey of Income and Program Participation (SIPP). Our empirical results are quite consistent with the predictions of the model. We find that raising the replacement rate for UI by 10 percentage points lowers financial asset holdings by 1.4 to 5.6%, so that UI crowds out up to one-half of private savings for the typical unemployment spell. We also find that this effect is stronger for those facing higher unemployment risk and weaker for older workers.

Chapter 36 Savings, credit and insurance

Abstract: Publisher Summary This chapter surveys and synthesizes the issues for developing economies. Two features of developing economies are particularly germane to the link between savings and insurance. The absence of markets for trading in risks is particularly noticeable. Many insurance possibilities are not traded in developed countries. The fraction of the population is typically dependent on agricultural income for their livelihood. The chapter studies the life-cycle/permanent income models that incorporate precautionary savings and liquidity constraints. The huge diversity in insurance and credit arrangements in developing countries is quite bewildering. Understanding the limits and potential of these is an important step towards a better appreciation of the factors that influence financial development. The approach suggested in the chapter is two-pronged—the gains from trade exploited by a particular institutional structure can be enquired about along with the way by which trade is sustained.

Humps and Bumps in Lifetime Consumption

Abstract: In this paper we argue that once one departs from the simple classroom example, or `stripped down life-cycle model,' the empirical model for consumption growth can be made flexible enough to fit the main features of the data. More specifically, we show that allowing demographics to affect household preferences and relaxing the assumption of certainty equivalence can generate hump-shaped consumption profiles over age that are very similar to those observed in household-level data sources, without appealing to alternative explanations (such as liquidity constraints, myopia or mental accounting). The hump-shape is partly attributable to precautionary savings, and partly due to demographics; the tracking (whereby consumption jumps with income) is instead due to the permanent nature of the income shocks. We use US household-level data to estimate preference parameters and income profiles, and then simulate consumption profiles for different education groups. Our simulated profiles show that the key features observed in the data can be closely matched in simulation. We also show that neglecting uncertainty produces consumption profiles that are `too flat,' whereas neglecting demographics generates consumption profiles that peak `too late.'

Essays on stochastic fiscal policy, public debt and private consumption

Abstract: This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.

Precautionary Savings under Liquidity Constraints--A Decomposition

Abstract: This paper investigates the effects of liquidity constraints on consumption/saving by separating precautionary saving caused by liquidity constraints (PS2) from the conventional precautionary saving made against income uncertainty (PS1). It is proved that there exists a unique level of wealth below which PS2 is strictly positive and above which liquidity constraints have no effects at all. The numerical simulations show that PS2 is quantitatively important, depending on age and the level of wealth. Some empirical findings in the literature cannot be explained by PS1 alone but are consistent with the model in which PS2 is present. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Humps and bumps in lifetime consumption

Abstract: There is much debate over whether the life-cycle model of consumption can explain consumption growth patterns patterns observed in household level data sources. We argue that once one departs from simple classroom example, or 'stripped down life-cycle model', the empirical model for consumption growth can be made flexible enough to fit the main features of the data. Using simulation techniques to assess the predictions of a life-cycle model estimated on US consumption data, we find that: Allowing demographic variables to affect household preferences and relaxing assumptions about the effects of uncertainty can generate hump-shaped consumption profiles over age that are very similar to those observed in household level data sources, without appealing to alternative explanations such as liquidity constraints, myopia or mental accounting. Humps in consumption paths are partly attributable to precautionary savings, and partly due to demographics; Bumps (or tracking - whereby consumption jumps with income) are instead due to the permanent nature of income shocks. Neglecting the effects of uncertainty produces consumption profiles that are 'too flat', whereas neglecting the effects of demographics generates consumption profiles that peak 'too late'.

Income Uncertainty and Ricardian Equivalence

Abstract: This note characterizes the nature of Ricardian-equivalence failure when either the old generation's or the young generation's income is uncertain and the nonnegativity constraint on bequests is binding in some states of nature. Assuming a positive third derivative of the utility function, the same condition needed for precautionary savings,' it is shown that the degree of failure of Ricardian equivalence is greater when the corner has to do with parental poverty than when the corner has to do with children's wealth. The reason is that in corners associated with parental poverty (and therefore lower parental consumption) marginal utility is more sensitive to extra consumption, leading to a higher marginal propensity to consume in the first period. Consequently, government transfers cause a substantial reduction of precautionary savings in "poor corners," in contrast to "rich corners," where precautionary savings are only slightly affected.

Unemployment Insurance and Precautionary Saving

Abstract: We consider both theoretically and empirically the effect of unemployment insurance (UI) on precautionary savings behavior. Simulations of a stochastic life cycle model suggest that increasing the generosity of UI will substantially lower the asset holdings of the median worker, and that this effect will both rise with unemployment risk and fall with worker age. We test these implications by matching data on potential UI replacement rates to asset holdings in the Survey of Income and Program Participation (SIPP). Our empirical results are quite consistent with the predictions of the model. We find that raising the replacement rate for UI by 10 percentage points lowers financial asset holdings by 1.4 to 5.6%, so that UI crowds out up to one-half of private savings for the typical unemployment spell. We also find that this effect is stronger for those facing higher unemployment risk and weaker for older workers.

Government Debt and Private Consumption : Theory and Evidence

Abstract: This dissertation consists of five separate essays (and a short introductory chapter) that analyze the effects of debt policy on private consumption. Essay 1: Government Debt and Private Consumption: Theory and Evidence. The Ricardian equivalence theorem has been widely debated since (at least) the seventies. The theorem states that households should not change their consumption path in response to changed timing of taxes, given the path of government consumption. In this essay, theoretical models giving rise to the equivalence result as well as models predicting deviations from debt neutrality are presented. In general, the Ricardian models are based on unrealistic assumptions, such as infinite horizons, perfect capital markets and lump-sum taxes. The issue of Ricardian equivalence is thus perhaps better viewed as a question concerning to what extent the equivalence hypothesis is a reasonable approximation of the real world. This could only be established by empirical studies. To formulate a test of Ricardian equivalence, it is however vital to extend the standard analysis in deterministic models to stochastic models. In a stochastic model we need to incorporate the fact that agents have to make predictions about future levels of government consumption, and that public debt might be a useful predictor for that purpose. It is therefore necessary that an empirical study distinguishes between debt as a potential source of net wealth, which is the concern of the equivalence proposition, and debt's role as a signal of future levels of government consumption, which is due to the stochastic nature of the world. It is argued that there are few empirical studies that make this distinction, and in case the distinction is made, the evidence is in favor of the Ricardian equivalence proposition, namely that public debt is not net wealth to households. Changing the timing of taxes will therefore not change private consumption. In other words, although the Ricardian equivalence hypothesis is burdened with unrealistic assumptions, it seems (historically) to provide a reasonable approximation of actual data. Essay 2: An Investigation of Ricardian Equivalence in a Common Trends Model. A common trends model for gross national income, private consumption, government consumption and net taxes is estimated on US data. The system has two cointegrating vectors and thus two common stochastic trends, interpreted as a technology trend and a public sector trend. The two temporary shocks are interpreted as a private demand and government financing shock, respectively. Theoretical models suggest that the two cointegrating vectors could be due to the private and public sectors' intertemporal budget constraints. We find two co-integrating vectors, as predicted by no-Ponzi game constraints on the sectors. However, a stronger version of the no-Ponzi game constraint is a solvency condition, which implies particular co-integrating vectors. These cointegration vectors are both rejected for the sample period, indicating that the public sector will not be able to repay its debt if the current policy is maintained. However, the private sector is at the same time accumulating wealth, which is consistent with predictions from a Ricardian model. Further, the equivalence theorem predicts that private consumption should be unaffected by financing shocks. Data, however, indicate that there is a significant short run effect on both income and private consumption from the financing shock, but the effect indicates that increasing taxes is accompanied by increasing private consumption, contrary to both standard Ricardian and Keynesian models. In the theoretical world, this type of pattern could be generated in models with risk averse individuals and uncertainty about future taxes. Essay 3: Risky Taxes, Budget Balance Preserving Spreads and Precautionary Savings. This essay analyzes the effects on consumption from changes in the riskiness of taxes. It starts by reinterpreting the Sandmo [1970] paper on general capital income risk to the case of risky capital taxation. In his framework the concept of a mean preserving spread (MPS) is used for the risk analysis. In connection with risky taxes it is however possible to explicitly connect the tax risk with the government's budget constraint. In this essay the concept of a budget balance preserving spread (BBPS) is developed and used for the analysis of stochastic taxes. The essay is concluded with a comparison of the effects that a MPS and a BBPS has on consumption decisions. It is shown that the comparative statics results for a BBPS could be different from the results obtained with a MPS. Essay 4: Budget Deficits, Tax Risk and Consumption. This essay analyzes the effects of budget deficits on consumption when individual taxes are stochastic. It is shown that the co-movements between budget deficits and private consumption will depend on how risk averse individuals are. In the case of lump-sum taxes, it is sufficient to assume that individuals have a precautionary savings motive to obtain the result that consumption today will decrease with increased disposable income today. Furthermore, if we use a time separable iso-elastic utility funcition, the standard analysis of capital income risk predicts (precautionary) savings to increase with increased risk if the coefficient of relative risk aversion is greater than one. This is no longer sufficient when the risk is due to uncertain capital income taxes. In general, the coefficient must be greater than one to obtain precautionary savings in response to the greater risk implied by a budget deficit. The results in the paper are consistent with Ricardian equivalence only for some specific utility function, but not in general. However, in the same way, the results are consistent with standard Keynesian models that display a positive relation between debt and private consumption only for certain utility functions, and could equally well generate the opposite result for individuals that are enough risk averse or prudent, without changing the expected value of government consumption. In other words, if future taxes are uncertain, increased disposable income in the present period will decrease present consumption, if households are prudent enough. Essay 5: Budget Deficits, Stochastic Population Size and Consumption. This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.

Savings and education: a life-cycle model applied to a panel of 74 countries

Abstract: The authors analyze how education contributes to savings. There are many reasons to believe that education and savings may be linked, either positively or negatively. It is generally expected that people with higher education will earn greater income, thereby leading to higher savings, even if the positive relationships between education and income andbetween income and savings take time to be completely realized. The relationship between education and income can be negative at first because education expenses initially increase consumption and reduce current disposable income. Another argument for a negative link concerns precautionary savings. If there is a precautionary motive for savings, education should reduce income volatility because educated people are less likely to be unemployed, or, if unemployed, they are covered by unemployment insurance. With less need for precautionay savings among the more educated, education and savings would be negatively correlated. The author's major findings for a panel of 74 countries over the period 1960-90 include the following views. Education positively influences savings in the long run. For each percentage point increase in education stock, the savings rate increases 0.37 percent. But it takes more than five years for the positive effect, through income, to compensate for the initial negative impact on savings. The lagged effect (five years) of a change in the stock of education appears positive in all regions except Latin America. The negative correlation in this region can be explained by the worsening quality of education, which reduces the ability to implement new technologies, and by the traditional focus on university education instead of primary and secondary education. Moreover, well-educated people in Latin America seem to have a lower precautionary motive for saving than in other regions. People are more productive, invest more, or are a better complement to physical capital in an environment where many people are well-educated. Accordingly, the positive effect of education on savings appears higher in industrial countries, given their higher initial stock of human capital, than in developing countries. The effects of primary and secondary education on savings are positive and significant in all regions, while the effects of university education is positive only in industrial countries. One explanation might be that industrial countries tend to invest in new projects rather than to adopt existing technology. The authors derive several policy recommendations from their conclusions. First, the positive effect of education on savings is enhanced by a reduction in the cost of education which automatically increases disposable income. In many countries, the unit cost of education may be reduced by exploiting economies of scale and by developing incentives for greater cost-consciousness among consumers and providers. Many education systems may need to upgrade their internal efficiency. Second, a focus on primary education should be encouraged, specifically in developing countries. The empirical results indicate that the positive long-run effect associated with primary education is twice as large as that for secondary and tertiary eduation. Latin America's traditional neglect of primary education contrasts sharply with the policy of Asian countries. Finally, it is important to increase the coverage of education, not only for equity but also for efficiency reasons. Indeed, how much a child learns is influenced by the nature of the learning environment, as supported by the role played by externalities and the intial level of education in the realtionship between eduation and savings.

Budget Deficits, Tax Risk and Consumption

Abstract: This paper analyzes the effects of budget deficits on consumption when individual taxes are stochastic. It is shown that the co-movements between budget deficits and private consumption will depend on how risk averse individuals are. In the case of lump-sum taxes, it is sufficient to assume that individuals have a precautionary savings motive to obtain the result that consumption today will decrease with increased disposable income today. Furthermore, if we use a time separable iso-elastic utility function, the standard analysis of capital income risk predicts (precautionary) savings to increase with increased risk if the coefficient for relative risk aversion is greater than one. This is no longer sufficient when the risk is due to uncertain capital income taxes. In general, the coefficient must be greater than one to obtain precautionary savings in response to the greater risk implied by a budget deficit. The results in the paper are consistent with Ricardian equivalence only for some specific utility function but not in general. However, in the same way, the results are consistent with standard Keynesian models that display a positive relation between debt and private consumption only for certain utility functions and could equally well generate the opposite result for individuals that are enough risk averse or prudent, without changing the expected value of government consumption. In other words, if future taxes are uncertain, increased disposable income in the present period will decrease present consumption if households are prudent enough.

Optimal Buffer Stocks and Precautionary Savings with Disappointment Aversion

Abstract: Developing countries use various risk reduction schemes, ranging from active management of buffer stocks and international reserves to commodity stabilization funds. The purpose of this paper is to reexamine the design of these schemes in a generalized expected utility maximization model where agents are disappointment averse. We derive first the generalized risk premium, showing that disappointment aversion increases the conventional risk premium by a term proportional to the standard deviation times the degree of disappointment aversion. Next, we show that disappointment aversion modifies the characteristics of precautionary saving. The concavity of the marginal utility continues to determine precautionary saving, but its effect is of a second order magnitude (proportional to the variance) compared to the first order effect (proportional to the standard deviation) induced by disappointment aversion. Hence, higher volatility increases the precautionary saving of a disappointment averse agent. This result applies even if the income process approaches a random walk. Finally, we reexamine the optimal size of buffer stocks, showing that disappointment aversion increases its size by a first order magnitude. A buffer stock that is rather small when agents are maximizing the conventional expected utility is rather large when agents are disappointment averse.

Capital Accumulation In A Bequest Economy

Abstract: An augmented life cycle model is used in order to characterize capital accumulation in an overlapping generations economy with altruistic agents. Precautionary savings serve as an instrument to face two different types of idiosyncratic income uncertainty: i) individual's income uncertainty.* in the future and ii) future generation's income uncertainty. By performing a calibrated simulation of the model, it is shown that precautionary savings aimed at providing bequests can account for a vast portion of capital accumulation. Empirical evidence on income uncertainty calls for further tests on the impact of future generation's income uncertainty on precautionary savings.

Budget Deficits, Stochastic Population Size and Consumption

Abstract: This dissertation consists of five separate essays (and a short introductory chapter) that analyze the effects of debt policy on private consumption. Essay 1: Government Debt and Private Consumption: Theory and Evidence. The Ricardian equivalence theorem has been widely debated since (at least) the seventies. The theorem states that households should not change their consumption path in response to changed timing of taxes, given the path of government consumption. In this essay, theoretical models giving rise to the equivalence result as well as models predicting deviations from debt neutrality are presented. In general, the Ricardian models are based on unrealistic assumptions, such as infinite horizons, perfect capital markets and lump-sum taxes. The issue of Ricardian equivalence is thus perhaps better viewed as a question concerning to what extent the equivalence hypothesis is a reasonable approximation of the real world. This could only be established by empirical studies. To formulate a test of Ricardian equivalence, it is however vital to extend the standard analysis in deterministic models to stochastic models. In a stochastic model we need to incorporate the fact that agents have to make predictions about future levels of government consumption, and that public debt might be a useful predictor for that purpose. It is therefore necessary that an empirical study distinguishes between debt as a potential source of net wealth, which is the concern of the equivalence proposition, and debt's role as a signal of future levels of government consumption, which is due to the stochastic nature of the world. It is argued that there are few empirical studies that make this distinction, and in case the distinction is made, the evidence is in favor of the Ricardian equivalence proposition, namely that public debt is not net wealth to households. Changing the timing of taxes will therefore not change private consumption. In other words, although the Ricardian equivalence hypothesis is burdened with unrealistic assumptions, it seems (historically) to provide a reasonable approximation of actual data. Essay 2: An Investigation of Ricardian Equivalence in a Common Trends Model. A common trends model for gross national income, private consumption, government consumption and net taxes is estimated on US data. The system has two cointegrating vectors and thus two common stochastic trends, interpreted as a technology trend and a public sector trend. The two temporary shocks are interpreted as a private demand and government financing shock, respectively. Theoretical models suggest that the two cointegrating vectors could be due to the private and public sectors' intertemporal budget constraints. We find two co-integrating vectors, as predicted by no-Ponzi game constraints on the sectors. However, a stronger version of the no-Ponzi game constraint is a solvency condition, which implies particular co-integrating vectors. These cointegration vectors are both rejected for the sample period, indicating that the public sector will not be able to repay its debt if the current policy is maintained. However, the private sector is at the same time accumulating wealth, which is consistent with predictions from a Ricardian model. Further, the equivalence theorem predicts that private consumption should be unaffected by financing shocks. Data, however, indicate that there is a significant short run effect on both income and private consumption from the financing shock, but the effect indicates that increasing taxes is accompanied by increasing private consumption, contrary to both standard Ricardian and Keynesian models. In the theoretical world, this type of pattern could be generated in models with risk averse individuals and uncertainty about future taxes. Essay 3: Risky Taxes, Budget Balance Preserving Spreads and Precautionary Savings. This essay analyzes the effects on consumption from changes in the riskiness of taxes. It starts by reinterpreting the Sandmo [1970] paper on general capital income risk to the case of risky capital taxation. In his framework the concept of a mean preserving spread (MPS) is used for the risk analysis. In connection with risky taxes it is however possible to explicitly connect the tax risk with the government's budget constraint. In this essay the concept of a budget balance preserving spread (BBPS) is developed and used for the analysis of stochastic taxes. The essay is concluded with a comparison of the effects that a MPS and a BBPS has on consumption decisions. It is shown that the comparative statics results for a BBPS could be different from the results obtained with a MPS. Essay 4: Budget Deficits, Tax Risk and Consumption. This essay analyzes the effects of budget deficits on consumption when individual taxes are stochastic. It is shown that the co-movements between budget deficits and private consumption will depend on how risk averse individuals are. In the case of lump-sum taxes, it is sufficient to assume that individuals have a precautionary savings motive to obtain the result that consumption today will decrease with increased disposable income today. Furthermore, if we use a time separable iso-elastic utility funcition, the standard analysis of capital income risk predicts (precautionary) savings to increase with increased risk if the coefficient of relative risk aversion is greater than one. This is no longer sufficient when the risk is due to uncertain capital income taxes. In general, the coefficient must be greater than one to obtain precautionary savings in response to the greater risk implied by a budget deficit. The results in the paper are consistent with Ricardian equivalence only for some specific utility function, but not in general. However, in the same way, the results are consistent with standard Keynesian models that display a positive relation between debt and private consumption only for certain utility functions, and could equally well generate the opposite result for individuals that are enough risk averse or prudent, without changing the expected value of government consumption. In other words, if future taxes are uncertain, increased disposable income in the present period will decrease present consumption, if households are prudent enough. Essay 5: Budget Deficits, Stochastic Population Size and Consumption. This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.

Risky Taxes, Budget Balance Preserving Spreads and Precautionary Savings

Abstract: This dissertation consists of five separate essays (and a short introductory chapter) that analyze the effects of debt policy on private consumption. Essay 1: Government Debt and Private Consumption: Theory and Evidence. The Ricardian equivalence theorem has been widely debated since (at least) the seventies. The theorem states that households should not change their consumption path in response to changed timing of taxes, given the path of government consumption. In this essay, theoretical models giving rise to the equivalence result as well as models predicting deviations from debt neutrality are presented. In general, the Ricardian models are based on unrealistic assumptions, such as infinite horizons, perfect capital markets and lump-sum taxes. The issue of Ricardian equivalence is thus perhaps better viewed as a question concerning to what extent the equivalence hypothesis is a reasonable approximation of the real world. This could only be established by empirical studies. To formulate a test of Ricardian equivalence, it is however vital to extend the standard analysis in deterministic models to stochastic models. In a stochastic model we need to incorporate the fact that agents have to make predictions about future levels of government consumption, and that public debt might be a useful predictor for that purpose. It is therefore necessary that an empirical study distinguishes between debt as a potential source of net wealth, which is the concern of the equivalence proposition, and debt's role as a signal of future levels of government consumption, which is due to the stochastic nature of the world. It is argued that there are few empirical studies that make this distinction, and in case the distinction is made, the evidence is in favor of the Ricardian equivalence proposition, namely that public debt is not net wealth to households. Changing the timing of taxes will therefore not change private consumption. In other words, although the Ricardian equivalence hypothesis is burdened with unrealistic assumptions, it seems (historically) to provide a reasonable approximation of actual data. Essay 2: An Investigation of Ricardian Equivalence in a Common Trends Model. A common trends model for gross national income, private consumption, government consumption and net taxes is estimated on US data. The system has two cointegrating vectors and thus two common stochastic trends, interpreted as a technology trend and a public sector trend. The two temporary shocks are interpreted as a private demand and government financing shock, respectively. Theoretical models suggest that the two cointegrating vectors could be due to the private and public sectors' intertemporal budget constraints. We find two co-integrating vectors, as predicted by no-Ponzi game constraints on the sectors. However, a stronger version of the no-Ponzi game constraint is a solvency condition, which implies particular co-integrating vectors. These cointegration vectors are both rejected for the sample period, indicating that the public sector will not be able to repay its debt if the current policy is maintained. However, the private sector is at the same time accumulating wealth, which is consistent with predictions from a Ricardian model. Further, the equivalence theorem predicts that private consumption should be unaffected by financing shocks. Data, however, indicate that there is a significant short run effect on both income and private consumption from the financing shock, but the effect indicates that increasing taxes is accompanied by increasing private consumption, contrary to both standard Ricardian and Keynesian models. In the theoretical world, this type of pattern could be generated in models with risk averse individuals and uncertainty about future taxes. Essay 3: Risky Taxes, Budget Balance Preserving Spreads and Precautionary Savings. This essay analyzes the effects on consumption from changes in the riskiness of taxes. It starts by reinterpreting the Sandmo [1970] paper on general capital income risk to the case of risky capital taxation. In his framework the concept of a mean preserving spread (MPS) is used for the risk analysis. In connection with risky taxes it is however possible to explicitly connect the tax risk with the government's budget constraint. In this essay the concept of a budget balance preserving spread (BBPS) is developed and used for the analysis of stochastic taxes. The essay is concluded with a comparison of the effects that a MPS and a BBPS has on consumption decisions. It is shown that the comparative statics results for a BBPS could be different from the results obtained with a MPS. Essay 4: Budget Deficits, Tax Risk and Consumption. This essay analyzes the effects of budget deficits on consumption when individual taxes are stochastic. It is shown that the co-movements between budget deficits and private consumption will depend on how risk averse individuals are. In the case of lump-sum taxes, it is sufficient to assume that individuals have a precautionary savings motive to obtain the result that consumption today will decrease with increased disposable income today. Furthermore, if we use a time separable iso-elastic utility funcition, the standard analysis of capital income risk predicts (precautionary) savings to increase with increased risk if the coefficient of relative risk aversion is greater than one. This is no longer sufficient when the risk is due to uncertain capital income taxes. In general, the coefficient must be greater than one to obtain precautionary savings in response to the greater risk implied by a budget deficit. The results in the paper are consistent with Ricardian equivalence only for some specific utility function, but not in general. However, in the same way, the results are consistent with standard Keynesian models that display a positive relation between debt and private consumption only for certain utility functions, and could equally well generate the opposite result for individuals that are enough risk averse or prudent, without changing the expected value of government consumption. In other words, if future taxes are uncertain, increased disposable income in the present period will decrease present consumption, if households are prudent enough. Essay 5: Budget Deficits, Stochastic Population Size and Consumption. This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.

Strategies for growth in a macroeconomic setting

Abstract: Endogenous growth theory explains long-run economic expansion by intertemporal preferences, technology, and other factors, e.g., taxes. Here the authors focus on more subtle and strategic factors in a theory of endogenous growth that follows M. F. Scott (1989) and is based on learning-by-doing and learning-by-watching. Coordination of investment in the presence of learning externalities boosts growth. Managerial discretion based on the separation between ownership and control affects growth but the magnitude of the effects depends on the way firms set labor demand. Uncertainty positively affects growth because of precautionary savings. The effect is amplified if projects with higher growth rates are more risky. Copyright 1995 by Blackwell Publishers Ltd and The Victoria University of Manchester

Budget Deficits, Tax Risk and Consumption

Abstract: This dissertation consists of five separate essays (and a short introductory chapter) that analyze the effects of debt policy on private consumption. Essay 1: Government Debt and Private Consumption: Theory and Evidence. The Ricardian equivalence theorem has been widely debated since (at least) the seventies. The theorem states that households should not change their consumption path in response to changed timing of taxes, given the path of government consumption. In this essay, theoretical models giving rise to the equivalence result as well as models predicting deviations from debt neutrality are presented. In general, the Ricardian models are based on unrealistic assumptions, such as infinite horizons, perfect capital markets and lump-sum taxes. The issue of Ricardian equivalence is thus perhaps better viewed as a question concerning to what extent the equivalence hypothesis is a reasonable approximation of the real world. This could only be established by empirical studies. To formulate a test of Ricardian equivalence, it is however vital to extend the standard analysis in deterministic models to stochastic models. In a stochastic model we need to incorporate the fact that agents have to make predictions about future levels of government consumption, and that public debt might be a useful predictor for that purpose. It is therefore necessary that an empirical study distinguishes between debt as a potential source of net wealth, which is the concern of the equivalence proposition, and debt's role as a signal of future levels of government consumption, which is due to the stochastic nature of the world. It is argued that there are few empirical studies that make this distinction, and in case the distinction is made, the evidence is in favor of the Ricardian equivalence proposition, namely that public debt is not net wealth to households. Changing the timing of taxes will therefore not change private consumption. In other words, although the Ricardian equivalence hypothesis is burdened with unrealistic assumptions, it seems (historically) to provide a reasonable approximation of actual data. Essay 2: An Investigation of Ricardian Equivalence in a Common Trends Model. A common trends model for gross national income, private consumption, government consumption and net taxes is estimated on US data. The system has two cointegrating vectors and thus two common stochastic trends, interpreted as a technology trend and a public sector trend. The two temporary shocks are interpreted as a private demand and government financing shock, respectively. Theoretical models suggest that the two cointegrating vectors could be due to the private and public sectors' intertemporal budget constraints. We find two co-integrating vectors, as predicted by no-Ponzi game constraints on the sectors. However, a stronger version of the no-Ponzi game constraint is a solvency condition, which implies particular co-integrating vectors. These cointegration vectors are both rejected for the sample period, indicating that the public sector will not be able to repay its debt if the current policy is maintained. However, the private sector is at the same time accumulating wealth, which is consistent with predictions from a Ricardian model. Further, the equivalence theorem predicts that private consumption should be unaffected by financing shocks. Data, however, indicate that there is a significant short run effect on both income and private consumption from the financing shock, but the effect indicates that increasing taxes is accompanied by increasing private consumption, contrary to both standard Ricardian and Keynesian models. In the theoretical world, this type of pattern could be generated in models with risk averse individuals and uncertainty about future taxes. Essay 3: Risky Taxes, Budget Balance Preserving Spreads and Precautionary Savings. This essay analyzes the effects on consumption from changes in the riskiness of taxes. It starts by reinterpreting the Sandmo [1970] paper on general capital income risk to the case of risky capital taxation. In his framework the concept of a mean preserving spread (MPS) is used for the risk analysis. In connection with risky taxes it is however possible to explicitly connect the tax risk with the government's budget constraint. In this essay the concept of a budget balance preserving spread (BBPS) is developed and used for the analysis of stochastic taxes. The essay is concluded with a comparison of the effects that a MPS and a BBPS has on consumption decisions. It is shown that the comparative statics results for a BBPS could be different from the results obtained with a MPS. Essay 4: Budget Deficits, Tax Risk and Consumption. This essay analyzes the effects of budget deficits on consumption when individual taxes are stochastic. It is shown that the co-movements between budget deficits and private consumption will depend on how risk averse individuals are. In the case of lump-sum taxes, it is sufficient to assume that individuals have a precautionary savings motive to obtain the result that consumption today will decrease with increased disposable income today. Furthermore, if we use a time separable iso-elastic utility funcition, the standard analysis of capital income risk predicts (precautionary) savings to increase with increased risk if the coefficient of relative risk aversion is greater than one. This is no longer sufficient when the risk is due to uncertain capital income taxes. In general, the coefficient must be greater than one to obtain precautionary savings in response to the greater risk implied by a budget deficit. The results in the paper are consistent with Ricardian equivalence only for some specific utility function, but not in general. However, in the same way, the results are consistent with standard Keynesian models that display a positive relation between debt and private consumption only for certain utility functions, and could equally well generate the opposite result for individuals that are enough risk averse or prudent, without changing the expected value of government consumption. In other words, if future taxes are uncertain, increased disposable income in the present period will decrease present consumption, if households are prudent enough. Essay 5: Budget Deficits, Stochastic Population Size and Consumption. This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.

Budget Deficits, Stochastic Population Size and Consumption

Abstract: This paper analyzes the effects on present consumption of budget deficits under different assumptions regarding demographics. In the first part, birth and death rates are deterministic, and in the second part, birth rates are assumed to be stochastic. In the case of a deterministic population size, an increase in public debt raises present consumption, if the (deterministic) birth rate is greater than zero, while with a zero birth rate we obtain debt neutrality. This is consistent with the results in Blanchard [1985] and Buiter [1988]. However, for the case of stochastic birth rates, it is shown that we can obtain the result that present consumption will decrease when public debt is increased, both when we have a zero expected birth rate, and when the expected population size is assumed to be constant, so that the expected birth rate is positive and equal to the death rate. The explanation is that with an uncertain birth rate, the future tax base is uncertain, which makes per capita taxes uncertain in the future. Shifting taxes to the future thus implies greater uncertainty about future net income, and induces precautionary savings.