Money and the Welfare Cost of Inflation in an R&D Growth Model

This study analyzes the effects of inflation on R&D and innovation‐driven growth. In the theoretical section, we incorporate money demand into a quality‐ladder model with elastic labor supply and derive the following result. If the elasticity of substitution between consumption and the real money balance is less (greater) than unity, then R&D and the growth rate of output would be decreasing (increasing) in the growth rate of money supply. Quantitatively, decreasing inflation in the U.S. to achieve price stability improves social welfare, and the welfare gain is equivalent to at least 0.5% of annual consumption. In the empirical section, we use cross‐country data to establish a negative and statistically significant relationship between inflation and R&D.     

Expected inflation and the real rate of interest : A Note

This paper derives an alternative explanation for the Mundell effect in the context of a state preference framework. In contrast to the real cash balance effect discussed by Mundell, the arrival of new information concerning the future course of economic events is shown to simultaneously affect both the real rate of interest and the expected rate of inflation. A negative relation between changes in expected inflation and the real rate of interest is shown to occur in spite of the fact that investors in this model hold no cash balances.     

Optimal inflation persistence: Ramsey taxation with capital and habits

Ramsey models of fiscal and monetary policy featuring time-separable preferences and a fixed supply of capital predict highly volatile inflation with no serial correlation. In this paper, we show that an otherwise-standard Ramsey model that incorporates capital accumulation and habit persistence predicts highly persistent inflation. The result depends on increases in either the ability to smooth consumption or the preference for doing so. The effect operates through the Fisher relationship: a smoother profile of consumption implies a more persistent real interest rate, which in turn implies persistent optimal inflation. Our work complements a recent strand of the Ramsey literature based on models with nominal rigidities. In these latter models, inflation volatility is lower than in the baseline model but continues to exhibit little persistence. We quantify the effects of habit and capital on inflation persistence and also relate our findings to recent work on optimal fiscal policy with incomplete markets.     

Equilibrium Dynamics in an Endogenous Growth Model of Money and Banking

We construct an analytically tractable endogenous growth model of money and banking where money provides "liquidity services" to facilitate transactions and banks convert non-reserve deposits into productive capital. We examine both the long- and short-run effects of changes in the money growth rate or the reserve requirement ratio. In response to a change in the required reserve ratio, the inflation rate and the growth rates of capital, real balances, and consumption need not adjust monotonically along the transition path. While the balanced growth equilibrium may be either a saddle or a source locally, the global dynamical system exhibits flip bifurcation.     

THE BEHAVIOR OF U.S. SHORT-TERM INTEREST RATES SINCE OCTOBER 1979

Short-term interest rates in the United States have been “too high” since October 1979 in the sense that both unconditional and conditional forecasts, based on an estimated vector autoregression model summarizing the prior experience, underpredict short-term interest rates during this period. Although a nonstructural model cannot directly answer the question of why this has been so, comparisons of alternative conditional forecasts point to the post-October 1979 relationship between the growth of real income and the growth of real money balances as closely connected to the level and pattern of short-term interest rates. This finding is consistent with the authors' earlier conclusion, based on analysis of a small structural macroeconometric model, that the high average level of interest rates has been due to a combination of slow growth of (nominal) money supply and continuing price inflation, which together have kept real balances small in relation to prevailing levels of economic activity.     

The precautionary demand for money: A rigorous foundation

Consumers' demand for money to hold is shown rigorously to be related to possible but uncertain purchase opportunities rather than to total consumption (income) or to the variability of bond yields. A formal model of consumers' demand for precautionary balances is analyzed. It implies that cash balances demanded will be changed by different amounts in response to equivalent changes in the rates of time preference and inflation. This perhaps explains recent instability in money demand estimates.     

居民风险偏好与中国货币政策的宏观经济效应——基于DSGE模型的数量分析

当前,我国宏观经济形势复杂多变,货币政策实施效果的影响因素随之呈现多样化特征。在此背景下,本文试图以风险偏好为研究视角,对我国居民风险偏好水平变动与货币政策宏观经济效应之间的关系进行分析。本文以标准新凯恩斯模型为基础,构造符合我国宏观经济现实特征的DSGE(动态随机一般均衡)模型,并对转型时期的最优混合型货币政策规则进行研究;为进一步强调货币在中国宏观经济波动中所扮演的重要角色,模型中引入消费和实际货币余额不可分的跨期效用函数形式。研究结果表明:(1)包含名义货币增长的混合型泰勒规则拟合我国转型时期的货币政策规则效果最佳,因此货币供应量仍是重要的政策工具;(2)与可分性模型相比,不可分模型拟合我国宏观经济现实特征的效果更优。在不可分效用函数下,与货币供应量相关的实际货币余额将影响经济的产出缺口和通货膨胀,使得居民风险偏好成为决定货币政策效果的重要因素。具体而言,当居民风险偏好水平上升时,货币政策对我国宏观经济波动的影响随之增强。因此,在选择货币政策实施时点上,应充分考虑市场中的风险偏好情况,从而更好地发挥货币政策调控宏观经济的职能。     

Determinacy and expectational stability of equilibrium in a monetary sticky-price model with Taylor rule

Recent studies show that the Taylor rule possesses desirable properties in terms of generating determinacy and E-stability of rational expectations equilibria under sticky prices. This paper examines whether this policy rule retains these properties within a discrete-time money-in-utility-function model, employing three timings of money balances of the utility function that the existing literature contains: end-of-period timing and two types of cash-in-advance timing. This paper shows: (i) even a small degree of non-separability of the utility function between consumption and real balances causes the Taylor rule to be much more likely to induce indeterminacy or E-instability if this rule responds not only to inflation but also to output or the output gap; (ii) differences among the three timings strongly alter conditions for the Taylor rule to ensure both determinacy and E-stability.     

居民风险偏好与中国货币政策的宏观经济效应——基于DSGE模型的数量分析

当前,我国宏观经济形势复杂多变,货币政策实施效果的影响因素随之呈现多样化特征。在此背景下,本文试图以风险偏好为研究视角,对我国居民风险偏好水平变动与货币政策宏观经济效应之间的关系进行分析。本文以标准新凯恩斯模型为基础,构造符合我国宏观经济现实特征的DSGE(动态随机一般均衡)模型,并对转型时期的最优混合型货币政策规则进行研究;为进一步强调货币在中国宏观经济波动中所扮演的重要角色,模型中引入消费和实际货币余额不可分的跨期效用函数形式。研究结果表明:(1)包含名义货币增长的混合型泰勒规则拟合我国转型时期的货币政策规则效果最佳,因此货币供应量仍是重要的政策工具;(2)与可分性模型相比,不可分模型拟合我国宏观经济现实特征的效果更优。在不可分效用函数下,与货币供应量相关的实际货币余额将影响经济的产出缺口和通货膨胀,使得居民风险偏好成为决定货币政策效果的重要因素。具体而言,当居民风险偏好水平上升时,货币政策对我国宏观经济波动的影响随之增强。因此,在选择货币政策实施时点上,应充分考虑市场中的风险偏好情况,从而更好地发挥货币政策调控宏观经济的职能。     

Inflation Taxation and Welfare with Externalities and Leisure

This paper examines how inflation taxation affects resource allocation and welfare in a neoclassical growth model with leisure, a production externality and money in the utility function. Switching from consumption taxation to inflation taxation to finance government spending reduces real money balances relative to income, but increases consumption, labor, capital, and output. The net welfare effect of this switch depends crucially on the strength of the externality and on the elasticity of intertemporal substitution. While it is always negative without the externality, it is likely to be positive with a strong externality and elastic intertemporal substitution.     

实际股票收益率与通货膨胀率关系的实证研究

股票收益率与通货膨胀率之间的关系至今仍无定论.采用1991年1月到2011年8月的月度数据,运用VAR模型对我国的股票收益率与通货膨胀率之间的关系进行实证分析,结果发现不论是预期的通货膨胀还是非预期的通货膨胀与股票实际收益率都是负相关关系.表明费雪效应在我国不成立,股票并不是对冲通货膨胀风险的理想工具.     

The ex ante real rate and inflation premium under a habit consumption model

This paper analyzes and quantifies ex ante components of bond yields – real rate of returns and risk premiums – from observed prices of nominal and indexed bonds in the United Kingdom from 1983 to 2000. The estimation uses an asset pricing framework based on a habit consumption model together with a joint formulation of consumption growth and inflation. Nominal yields carry a time-varying inflation premium that is significant throughout the period, increasing in the bond's maturity and contributing up to 25 basis points to yearly nominal yields. The analysis allows the extraction of the ex ante real rate from indexed bonds by properly taking into account both the incomplete indexation on these instruments and the inflation premium embedded in the nominal bonds.     

Nominal uncertainty,real uncertainty and macroeconomic performance in a time-varying asymmetric framework: Implications for monetary policy

This study examines the dynamic causal links and volatility spillovers of inflation, output growth and their uncertainties in four South Asian countries, namely, Pakistan, India, Bangladesh and Sri Lanka by utilizing asymmetric GARCH family models. Our empirical evidence supports a number of important conclusions. There is an overwhelming support for Friedman-Ball hypothesis of positive inflation-uncertainty trade-off for all countries excluding India and Sri Lanka. The Cukierman-Meltzer’s idea that inflation uncertainty generates inflation, hold for Bangladesh and Sri Lanka only and the Holland’s hypothesis of negative influence of inflation uncertainty on level inflation is supported by India only. The positive influence of output uncertainty on inflation (Devereux (1989) hypothesis) is supported by all countries excluding Bangladesh while nominal uncertainty (real uncertainty) has negative (positive) effect on output growth in Pakistan (Bangladesh). Output growth is reducing real uncertainty in all countries excluding Sri Lanka and nominal uncertainty in Pakistan only. There is significant negative relationship between inflation and output growth for Pakistan only while real uncertainty is positively (negatively) related with nominal uncertainty in India (Bangladesh). The estimated results are almost robust with the simultaneous estimation procedure for testing the main hypotheses. In general, there is asymmetric effect and persistence of the GARCH parameters for all countries. The study suggests that the concerned central banks should pay more attention to the effects of macroeconomic uncertainty and should focus their monetary policy strategy on stabilizing both output growth and inflation.     

Seigniorage,inflation, and reputation

This paper derives a reputational equilibrium for inflation in a model in which the sovereign obtains valuable seigniorage by issuing fiat money in exchange for real resources. With contemporaneous perception of actual sovereign behavior and immediate adjustment of real cash balances to new information, the Friedman elasticity solution for maximal seigniorage is a reputational equilibrium. More generally, the objective of maximal seigniorage produces an equilibrium inflation rate equal either to a generalization of the Friedman elasticity solution or to the rate at which the sovereign discounts future seigniorage adjusted for the growth rate, whichever is larger. The model formalizes the conjecture that inflation rates in excess of the Friedman solution are attributable to high discount rates for future seigniorage.     

A Clower constraint model of unbacked money

The stylized monetary facts — (1) money growth causes inflation, (2) inflation is bad, (3) money demand depends upon the nominal interest rate, (4) the real interest rate equals a parametrically fixed rate of time preference, and (5) investment depends upon the real interest rate — are produced in a Grandmont-Younes modified Clower constraint model of money. Inflation is distorting, but is no one's intertemporal rate of substitution. Inflation discourages trade, but not investment. As a by-product the Friedman hypothesis, that the optimal deflation equals the rate of time preference, is confirmed in the model.     

Functional equivalence between liquidity costs and the utility of money

We demonstrate a functional equivalence between using real balances as an argument of the utility function and entering money into liquidity costs which appear in the budget constraint. The liquidity costs can be approximately derived from conventional models of money demand, such as the transactions and precautionary models. We also propose a general class of liquidity cost functions and show an exact duality between it and a broad class of utility functions which include real balances. There is a tendency for the cross-derivative between real balances and the consumption good to be non-negative, though this result will not hold for utility functions which are sufficiently concave.     

Macroeconomic uncertainty and performance in the European Union

We use a very general bivariate GARCH-M model and monthly data on EU countries covering the 1962–2003 period to test for the impact of real (output growth) and nominal (inflation) macroeconomic uncertainty on inflation and output growth. Our evidence supports a number of important conclusions. First, in the majority of countries uncertainty regarding the output growth rate is related to the average growth rate and the effect in several countries is negative. Second, in half of the cases there is no significant relationship between inflation uncertainty and output growth performance. Third, inflation and output uncertainty have a mixed effect on inflation. Nevertheless, considerable evidence for the Cukierman–Meltzer hypothesis is obtained. Our conclusions are based on adopting both a structural and a reduced-form bivariate GARCH model. Finally, we also find statistically significant evidence of regime switching for both inflation and output growth volatility throughout the sample.     

Inflation and the formation of expectations

This paper develops a model of expectations which generates paths that are consistent with observations that an acceleration of the monetary growth rate initially raises and eventually lowers real holdings of cash balances. It introduces a two-part expectations hypothesis where individuals are assumed to form expectations about the entire path of the price level and about the short-term inflation rate. Interaction between regressive and extrapolative elements induces a transitory rise in money holdings during the initial phase of inflation as expectations are that the process will reverse itself. Subsequently, as expectations catch up, the decline in desired holdings induces an overshooting of the inflation rate.     

Optimal inflation policy

This paper considers the problem of optimal long-run monetary policy. It shows that optimal inflation policy involves trading off two quite different considerations. First, increases in the rate of inflation tax the holding of many balances, leading to a deadweight loss as excessive resources are devoted to economizing on cash balances. Second, increases in the rate of inflation raise capital intensity. As long as the economy has a capital stock short of the golden rule level, increases in capital intensity raise the level of consumption. Ignoring the second consideration leads to the common recommendation that the money growth rate be set so that the nominal interest rate is zero. Taking it into account can lead to significant modifications in the ‘full liquidity rule’. Interactions of inflation policy with financial intermediation and taxation are also considered. The results taken together suggest that inflation can have important welfare effects, and that optimal inflation policy is an empirical question, which depends on the structure of the economy.     

Is the Real Interest Rate Stable?

Univariate time-series models for consumption, nominal interest rates, and prices each appear to have a single unit root before 1979. If nominal interest rates have a unit root but inflation and inflation forecast errors do not, then ex ante real interest rates have a unit root and are therefore nonstationary. This deduction does not depend on the properties of the unobservable ex post observed real return, which combines the ex ante real interest rate and inflation-forecasting errors. The unit-root characteristic of real interest rates is puzzling from at least two perspectives: many models imply that the growth rate of consumption and the real interest rate should have similar time-series characteristics; also, nominal returns for other assets (e.g., stocks and bonds) appear to have different times-series properties from those of treasury bills.