Inter-temporal choices with temporal reference dependence

I develop an intertemporal choice model for rational deviators whose preferences depend not only on their actual consumption but also on comparison to their beliefs about the optimal consumption. The standard decision maker is loss averse with respect to this belief-dependent reference point. When psychologically weighted loss aversion is low, a decision maker deviates from the standard intertemporal choice behavior and over-consumption, as well as the alternative possibility of under-consumption can be rationalized. When the decision maker has time-varying degrees of loss aversion, he re-optimizes the consumption plan through adjusted beliefs as subsequent selves realize that past decision for the present period is no longer optimal. In the dynamic model, I solve for consistent intertemporal optimization rules by which a dynamic deviator should meet rational intertemporal consistency at each point in time. Finally, I demonstrate that the dynamic reference dependent model can solve a puzzling feature in lifecycle consumption data.     

Intertemporal substitution, risk aversion and ambiguity aversion

Summary. This paper axiomatizes a form of recursive utility on consumption processes that permits a role for ambiguity as well as risk. The model has two prominent special cases: (i) the recursive model of risk preference due to Kreps and Porteus [18]; and (ii) an intertemporal version of multiple-priors utility due to Epstein and Schneider [8]. The generalization presented here permits a three-way separation of intertemporal substitution, risk aversion and ambiguity aversion.Received: 5 August 2003, Revised: 12 March 2004, JEL Classification Numbers: D80, D81, D90.I am grateful to Larry Epstein for his guidance and invaluable advice, and to a referee for helpful comments and suggestions.     

Intertemporal substitution and the liquidity effect in a sticky price model

The liquidity effect, defined as a decrease in nominal interest rates in response to a monetary expansion, is a major stylized fact of the business cycle. This paper first confirms that, with separable preferences, a low degree of intertemporal substitution in consumption is a necessary condition for the existence of the liquidity effect. In contrast to this result, in a model with non-separable preferences and capital accumulation it takes an implausibly high elasticity of intertemporal substitution to produce a liquidity effect. The robustness of these results to alternative degrees of nominal rigidities, capital adjustment costs and stochastic monetary processes is also analysed. We conclude that price stickiness, by itself, does not guarantee the existence of a liquidity effect.     

Why uncertainty matters: discounting under intertemporal risk aversion and ambiguity

Uncertainty has an almost negligible impact on project value in the standard economic model. I show that a comprehensive evaluation of uncertainty and uncertainty attitude changes this picture fundamentally. The illustration of this result relies on the discount rate, which is the crucial determinant in balancing immediate costs against future benefits, and the single most important determinant of optimal mitigation policies in the integrated assessment of climate change. First, the paper removes an implicit assumption of (intertemporal or intrinsic) risk neutrality from the standard economic model. Second, the paper introduces aversion to non-risk uncertainty (ambiguity). I show a close formal similarity between the model of intertemporal risk aversion, which is a reformulation of the widespread Epstein–Zin–Weil model, and a recent model of smooth ambiguity aversion. I merge the models, achieving a threefold disentanglement between risk aversion, ambiguity aversion, and the propensity to smooth consumption over time.     

Optimal policy and the risk properties of human capital reconsidered

This paper considers how optimal education and tax policy depends on the risk properties of human capital. A key feature of human capital investments is whether they increase or decrease wage risk. In a benchmark model it is shown that this feature alone determines whether a constrained optimal allocation should be characterized by a positive or a negative education premium. In the same model a positive intertemporal wedge is optimal. The robustness of these results is explored in two generalizations: nonobservability of education and nonobservability of consumption. Finally, policies that implement the constrained efficient allocations are considered.     

SME performance in transition economies: The financial regulation and firm-level corruption nexus

Using a general equilibrium endogenous growth model we explain underperformance in the small and medium enterprise sector as an effect of corruption and non-competitive banking. Limited competition in the banking sector causes a high loan-deposit spread, worsens the initial effect of corruption, and depresses growth. Fostering bank competition, for instance, by allowing foreign bank entry, would be a simple solution to this problem, but frequently, authorities choose to hamper bank competition. Therefore, we explain the persistence of non-competitive banking as a result of governments’ regulatory choice. If the government has a stake in the banking sector there exists a trade-off between current benefits from bank profits and future growth. Firm-level corruption affects intertemporal optimization and distorts the government’s choice towards more restrictive regulation, i.e., less bank competition, even if the deciding institution itself is not corrupt. These results show that the two prominent problems for small and medium enterprises, corruption and finance, are mutually reinforcing.     

An Experimental Analysis of Intertemporal Allocation Behavior

If the future is uncertain, optimal intertemporal decisions rely on anticipating one's own optimal future behavior as is typical in dynamic programming. Our aim is to detect experimentally stylized facts about intertemporal decision making in a rich stochastic environment. Compared to previous experimental studies our experimental design is more complex since the time horizon is uncertain and termination probabilities have to be updated. In particular the decision task is non-stationary as in real life which seriously complicates the task of diagnosing behavioral regularities. In this study we give some illustrative results and provide some general perspectives. Our main result is that subjects' reaction to information about termination probablilities are qualitatively correct.     

Growth, Expansion of Markets, and Income Elasticities in World Trade

The Houthakker–Magee effect implies that a country facing unfavorable income elasticities in trade must either grow at a slower rate than its trading partners or experience a trend worsening of the current account and/or depreciation of the real exchange rate. Krugman (1989 ) first documented the existence of a "45-degree rule" under which income elasticities are systematically related to growth rates. I develop a model which is a generalization of Krugman (1989 ) in several dimensions (including intertemporal). The intertemporal assumption of equal consumption growth for individuals across countries and the assumption of no intertemporal trade can be viewed as two extreme benchmarks. Empirical tests of the various 45-degree rules suggest that it is misleading to treat income elasticities as structural, as is commonly done in forecasts of current account movements. The data also seem to be more consistent with the benchmark of no intertemporal trade than that of complete intertemporal trade.     

Loss aversion and social security: a general equilibrium approach

Introducing an intertemporal model of loss aversion, I study the role of social security in determining intergenerational redistribution when consumers have reference-dependent preferences with loss aversion. Using a unified social security model in which different social security plans are specified via different degrees of fundedness, I examine the effect of the transition from a less funded system to a more funded one on savings, consumption, and capital accumulation for an OLG production economy. A general equilibrium analysis shows that the direction of intertemporal equilibrium is dependent on how the total savings responds to the interest rate change, but the effect of the payroll tax on capital accumulation is ambiguous. By deriving closed-form solutions, I find that an increase in fundedness intensity unambiguously increases capital accumulation in steady states, while the tax effects on consumption and savings are not conclusive. Moreover, simulation exercises show that when consumers are prone to over-consume because they care more about the contemporaneous gain utility, the fully funded system may help the individuals smooth out their lifecycle consumption.     

Financing constraints and inventories

This paper investigates the impact of financing constraints on firms’ inventory and cash management. In particular, it examines the extent to which the presence of such constraints may account for certain empirical regularities. These include, e.g., the excess variance of production vis-à-vis that of sales, as well as the counter-cyclicality and persistence of the inventory-sales ratio. We model the intertemporal decision-making on production, cash retention and dividends of a firm that is exposed to stochastic demand shocks in every period and faces constrained access to external sources of finance. It is found that the presence of financing constraints can explain the excess variance of production in a model which otherwise would not deliver this result. Moreover, as long as demand is positively serially correlated they also contribute to the counter-cyclicality and persistence of the inventory-sales ratio. The paper suggests that financing constraints should not be discarded as a factor driving the cyclical behaviour of inventories.     

The effects of alternative fiscal policies on the intertemporal government budget constraint

This article presents the effects of alternative fiscal policies on the intertemporal government budget constraint when the time horizon of the policy maker varies. I show that the wealth effect associated with cuts in the skill-adjusted labor income tax rate improves the intertemporal budget balance, whereas the intertemporal substitution effect associated with the physical capital income tax rate deteriorates the intertemporal budget. Under plausible parameter values, the tax rate on skill-adjusted labor income cannot by itself balance the intertemporal budget at all horizons.     

Optimally eating a stochastic cake: a recursive utility approach

In this short paper, uncertainties on resource stock and on technical progress are introduced into an intertemporal equilibrium model of optimal extraction of a non-renewable resource. The representative consumer maximizes a recursive utility function which disentangles between intertemporal elasticity of substitution and risk aversion. A closed-form solution is derived for both the optimal extraction and price paths. The value of the intertemporal elasticity of substitution relative to unity is then crucial in understanding extraction. Moreover, this model leads to a non-renewable resource price following a geometric Brownian motion.     

Modeling intertemporal general equilibrium: An application to Austrian commercial policy

We present a multi-sector CGE model featuring forward looking investiment and savings behavior within an intertemporal optimization framework. Thus, the model captures several of the intertemporal effects of commercial policy that have been stressed by recent literature on current account adjustment. We argue that pursuing a simulation approach in addressing these issues is warranted by certain limitations and ambiguities of the analytical literature. In addition to presenting the details of the model structure, the paper addresses calibration issues relating to intertemporal parameters. The model is calibrated to a microconsistent data set for the Austrian economy. Finally, the paper features an application of the model to a simple tariff liberalization scenario.     

Intertemporal production and intertemporal substitution in output supply and input demand

This article presents an intertemporal model of production with multiple inputs to investigate substitution opportunities facing firms over time. The firm’s intertemporal profit maximization problem is characterized with the familiar cost function, and various intertemporal substitution elasticities are delineated for output supply and input demand. The absence of intertemporal substitution in production can imply production smoothing, and allowance for intertemporal substitution in labour demand reinforces the prediction of the real business cycle model. For aggregate US manufacturing, we find substantial substitution in output supply and labour demand over time due to intertemporal changes in output price and wage rates.     

LIFETIME AND VERTICAL INTERTEMPORAL INEQUALITY, INCOME SMOOTHING, AND REDISTRIBUTION: A SOCIAL WELFARE APPROACH

Between and within-households intertemporal inequality indices are proposed to highlight the vertical and lifetime (i.e. cyclical) components of overall intertemporal inequality. Comparison with the classical static inequality indices is made. Income redistribution and smoothing (i.e. stabilization) are conveniently defined as the public policy impact on welfare, by means of the relative increase in intertemporal vertical and cyclical equity, respectively. The issue is important as many public policies are aimed at both (vertical and cyclical equity) objectives. Our approach provides a more appropriate evaluation of the desirability of public reforms aimed at achieving a greater vertical and cyclical equity, within a social welfare framework.     

Macroeconomic implications of dynamically inconsistent preferences

Despite the widespread use of models of intertemporal choices in economics, previous studies have assumed that intertemporal preferences are dynamically consistent. This paper provides a fresh perspective on propagation mechanisms of a typical macroeconomic shock in a model with dynamically inconsistent preferences. To this end, I develop a prototypical neoclassical model that features dynamically inconsistent preferences to explore dynamic responses of key macro-aggregates, discounted cumulative effects and some characteristics of aggregate fluctuations in response to a technology shock. The main findings reveal that (a) consumption and investment in the proposed model show a larger increase than those in a standard neoclassical model; (b) unlike the standard model, the proposed model yields a short-run decline in labor, which is corroborated by previous studies; (c) all of these dynamic responses in the proposed model deliver smaller cumulative output effects; (d) the proposed model does a reasonably good job of matching key characteristics of aggregate fluctuations with the counterparts observed in the postwar U.S. data. The present-bias and sophistication effects are the linchpin of these main results. Various analyses on a set of different parameter values are also discussed.     

The micro-foundations of intertemporal price discrimination

Summary. This paper investigates the optimality of intertemporal price discrimination for a durable-good monopoly in a model where infinitely-lived households face an intertemporal budget constraint, and consume both durable goods and non-durable goods. We prove that the optimal price of the durable good is not constant, and may decrease or increase over time. Some households may choose to purchase the durable good at a later date, and pay lower or higher prices, since the gain in discounted utility of consuming more of the non-durable good more than compensates for the loss in utility from delaying the consumption of the durable good.Received: 12 March 2004, Revised: 7 January 2005, JEL Classification Numbers: D40, D42, D91.I would like to thank C.D. Aliprantis, the Editor, and an anonymous referee for their generous advice, and constructive comments and suggestions. I have also enjoyed discussions with John Quah on the subject. Research support from the Wharton-SMU Research Centre, Singapore Management University, is gratefully acknowledged.     

Are government bonds net wealth? intertemporal optimization and the government budget constraint

Full integration of the government sector's intertemporal budget constraint into the private sector's intertemporal budget constraint implies the Ricardian equivalence proposition associated with Barro (1974) is valid. Private sector holdings of government bonds are not net wealth. Previous tests of the equivalence proposition estimate Keynesian consumption relationships augmented by alternative measures of government liabilities. Decisive results have not been obtained. The test presented here uses a formulation of the permanent income model to test the integration of the government's intertemporal budget constraint into the private sector's intertemporal budget constraint. The explicit use of a forward looking model of consumption imposes constraints on the equation estimated and on construction of the data; the present test is a significant improvement. The results of this test do not support the equivalence proposition.     

A lattice approach for pricing convertible bond asset swaps with market risk and counterparty risk

This paper proposes a new lattice framework for valuing convertible bonds (CBs) and asset swaps on CBs (CBASs) with market risk and counterparty risk, where interest rate is assumed to follow a mean-reverting square root process. The reduced-form approach is generalized to include a constant elasticity of variance (CEV) process for equity price prior to default. In order to approximate the CEV process while taking into account stochastic interest rate and the correlation between stock price and interest rate, I first propose a transform that is uncorrelated with interest rate, and then construct a new lattice method which can ensure the validity of branching probabilities for all nodes. The lattice framework performs properly when it is used to value European call options. Based on the empirical results in Duffie et al. (J. Fin. Econ. 83(3): 635-665, 2007) and Jankowitsch et al. (J. Bank. Fin. 32(7): 1269-1285, 2008), a novel default intensity process is constructed which is specified as a function of time, stock price, and interest rate. When valuing the asset swaps, the counterparty risk is taken into consideration. Based on the results of the numerical experiments, the impacts of different parameters on the prices of CBs and CBASs are explained.     

贸易失衡演进历史的国际比较——基于跨时贸易视角的分析

从跨时贸易的视角来看,贸易顺差、逆差的转换是一国跨时贸易模式变化的结果。当期生产能力强、未来生产能力弱时,一国跨时贸易的模式是出口当期产品,进口未来产品,贸易出现顺差;当期生产能力弱、未来生产能力强时,一国跨时贸易的模式是进口当期产品,出口未来产品,贸易出现逆差。跨时贸易模式主要受跨时比较优势的影响,跨时比较优势的变化与一国的技术优势、经济发展阶段、劳动力成本、国际分工地位以及产业结构的演变密不可分。各国贸易失衡的演进历吏与跨时贸易理论相符。