TURNPIKE PROPERTIES OF A MONEY‐IN‐THE‐UTILITY‐FUNCTION MODEL*

This study establishes the global stability of a long‐run stationary state in a money‐in‐the‐utility‐function model. The major finding is that the constant money supply rule results in a stable allocation and price system if consumers discount their future utilities sufficiently weakly. Nominal and real interest rates will be in the neighbourhood of the inverse of the consumers’ discount factor β^‐1.     

A COMPARISON OF CONDITIONAL AND UNCONDITIONAL APPROACHES IN VALUE‐AT‐RISK ESTIMATION*

In this paper, we attempt to find the most important factor causing the differences in the performance of Value‐at‐Risk (VaR) estimation by comparing the performances of conditional and unconditional approaches. For each approach, we use various methods and models with different degrees of flexibility in their distributions including S_U‐normal distribution, which is one of the most flexible distribution functions. Our empirical results underscore the importance of the flexibility‐of‐distribution function in VaR estimation models. Even though it seems to be unclear which approach is better between conditional and unconditional approaches, it seems to be clear that the more flexible distribution we use, the better the performance, regardless of which approach we use.     

Misspecification in Dynamic Panel Data Models and Model‐Free Inferences

This paper discusses the issue of model misspecification and model‐free methods in dynamic panel data analysis. We primarily review existing results, but also provide several new results. When the dynamics are homogeneous, we show that several widely used estimators for panel first‐order autoregressive AR(1) models converge to first‐order autocorrelation, even under misspecification. Under heterogeneity, these estimators converge to the ratio of the means of the first‐order autocovariances and variances. We also discuss the estimation of autocovariances, the estimation of panel AR(∞) models, and the estimation of the distribution of the heterogeneous mean and autocovariances.     

SECULAR MEAN REVERSION AND LONG‐RUN PREDICTABILITY OF THE STOCK MARKET

The empirical financial literature reports evidence of mean reversion in stock prices and the absence of out‐of‐sample return predictability over horizons shorter than 10 years. Anecdotal evidence suggests the presence of mean reversion in stock prices and return predictability over horizons longer than 10 years, but thus far, there is no empirical evidence confirming such anecdotal evidence. The goal of this paper is to fill this gap in the literature. Specifically, using 141 years of data, this paper begins by performing formal tests of the random walk hypothesis in the prices of the real S&P Composite Index over increasing time horizons of up to 40 years. Although our results cannot support the conventional wisdom that the stock market is safer for long‐term investors, our findings speak in favor of the mean reversion hypothesis. In particular, we find statistically significant in‐sample evidence that past 15‐17 year returns are able to predict the future 15‐17 year returns. This finding is robust to the choice of data source, deflator, and test statistic. The paper continues by investigating the out‐of‐sample performance of long‐horizon return forecasting based on the mean‐reverting model. These latter tests demonstrate that the forecast accuracy provided by the mean‐reverting model is statistically significantly better than the forecast accuracy provided by the naive historical‐mean model. Moreover, we show that the predictive ability of the mean‐reverting model is economically significant and translates into substantial performance gains.     

An Improved Two‐step Regularization Scheme for Spot Volatility Estimation

We are concerned with the problem of spot volatility estimation in the presence of microstructure noise. We introduce an estimator based on the technique of multi‐step regularization. A preliminary form for such an estimator was proposed in Ogawa (2008) and was shown to work in a real‐time manner. However, the main drawback of this scheme is that it needs a lot of observation data. The aim of the present paper is to introduce an improvement to this scheme, such that the modified estimator can work more efficiently and with a data set of smaller size. The technical aspects of implementation of the proposed scheme and its performance on simulated data are analysed. The scheme is tested against other spot volatility estimators, namely a realized volatility type estimator, the Fourier estimator and three kernel estimators.     

Pricing Nikkei 225 Options Using Realized Volatility

This article examines option pricing performance using realized volatilities with or without handling microstructure noise, non‐trading hours and large jumps. The dynamics of realized volatility is specified by ARFIMA(X) and HAR(X) models. The main results using put options on the Nikkei 225 index are that: (i) the ARFIMAX model performs best; (ii) the Hansen and Lunde (2005a) adjustment for non‐trading hours improves the performance; (iii) methods for reducing microstructure noise‐induced bias yield better performance, while if the Hansen–Lunde adjustment is used, the other methods are not necessarily needed; and (iv) the performance is unaffected by removing large jumps from realized volatility.     

Non‐Linear Pricing and Price Indexes: Evidence and Implications from Scanner Data

Non‐linear pricing, the fact that prices do not necessarily change in proportion to size, is a ubiquitous phenomenon. However, it has been neither particularly well understood nor well measured. Non‐linear pricing is of practical importance for statistical agencies who, in constructing price indexes, are often required to compare the relative price of a product‐variety of two different sizes. It is usually assumed that prices change one‐for‐one with package and pack size (e.g. a 1‐liter cola costs half as much as a 2‐liter bottle). We question the wisdom of such an assumption and outline a model to flexibly estimate the price‐size function. Applying our model to a large U.S. scanner dataset for carbonated beverages, at a disaggregated level, we find very significant discounts for larger‐sized products. This highlights the need to pursue methods such as those advocated in this paper.     

A Rotated Dynamic Nelson‐Siegel Model

I show how to rotate the factor structure of the well‐known Dynamic Nelson‐Siegel yield‐curve model to enable direct parametrization of the short rate process. This makes it easy to calculate model‐implied term premia and to integrate macroeconomic variables into the model in a Taylor‐rule‐type fashion.     

The Feasibility of the Double‐Dividend Hypothesis in a Democratic Economy

The two dividends in the double‐dividend hypothesis are assumed to be independent. This assumption can be misleading when it comes to formulating policy. I construct a model where the pollution tax rate is voted for by heterogeneous people. In addition to the revenue‐recycling effect, the equilibrium pollution tax rate depends on two opposite forces: the tax‐cutting effect and the profit effect. The two forces show that an instrument that exploits a greater revenue‐recycling effect can cause a more severe environmental deterioration, thereby resulting in the infeasibility of the hypothesis. The introduction of the interdependence between the two dividends can also mean that non‐revenue‐raising instruments are more efficient than revenue‐raising instruments.     

OPTIMAL GROWTH IN A TWO‐SECTOR RSS MODEL WITHOUT DISCOUNTING: A GEOMETRIC INVESTIGATION*

This essay reports results on optimal growth in a two‐sector model with fixed coefficients, irreversible investment and no discounting. Under normalization, the model can be represented by two real numbers, but despite its deceptive simplicity, it admits rich transition dynamics and apparent pathologies that seem to have been missed in earlier work. From a methodological point of view, and in the light of recent work of Nishimura and Yano, this essay can also be seen as a further rehabilitation of geometric methods as an engine of analysis.     

Is There a Causal Effect of Working Part‐Time on Current and Future Wages?

In this paper, I study the causal effects of part‐time work on current and future wages. To estimate these effects, I use a random effects model with a wage equation capturing the employment history and a dynamic multinomial probit component for the choice of employment status. Exclusion restrictions from the institutional context are exploited to support identification. The results suggest that working part‐time with few hours has a large causal effect on current wages, but more extensive part‐time work does not reduce current wages. However, both types of part‐time work lead to negative long‐term wage effects.     

The Effects of Monetary Policy Shocks in the USA: A Forecast‐Augmented VAR Approach

This paper formulates a forward‐looking monetary policy function for the USA in a structural vector autoregression (VAR) model, by using forecasts of key macroeconomic variables, in addition to the ex post realised variables used in a standard VAR. Since this forecast‐augmented VAR (FOAVAR) uses both forecasted and realised variables, and the standard VAR uses only realised variables, the standard VAR is nested in the FOAVAR. I find that the Fed responds to forecasted macroeconomic variables more significantly than realised variables. I also find that the monetary policy shock in the FOAVAR generates impulse responses of variables that are consistent with the predictions of economic theories, while the policy shock in the standard VAR causes a price puzzle: an increase in the price level due to a contractionary policy shock. These results suggest that a monetary policy function identified in a standard VAR, by using only realised macroeconomic variables, may incorrectly represent the Fed's policy function.     

Self‐regulation through Goal Setting*

Goals are an important motivator. But little is known about why and how people set them. We address this issue in a model based on two stylized facts. First, goals serve as reference points for performance. Second, present‐biased preferences create self‐control problems. We show the power and limits of self‐regulation through goals. Goals increase an individual's motivation—but only up to a certain point. Furthermore, they are painful self‐disciplining devices. Thus, greater self‐control problems may result in tougher goals; but for a severe present bias goals either lack a motivating force, or are too painful to be accepted.     

How the source of the entrant's advantage limits entry‐deterring tying

I revisit a simple model of entry‐deterring tying—example 1 from Whinston's (1990) seminal paper—but allow the potential entrant to have either a cost advantage or a willingness‐to‐pay (WTP) advantage relative to the incumbent. I show that, compared to the usual case in which the potential entrant is cost‐advantaged, tying is less effective against an entrant with a WTP advantage because an entrant with a large WTP advantage may be able to induce the buyer to buy both the tied bundle and the entrant's product. I also show that tying but failing to deter entry can be less costly when facing an entrant with a WTP advantage than when facing an entrant with a cost advantage. For a firm facing uncertainty about, for example, the entrant's entry costs, this makes tying a more attractive entry deterrence strategy against a WTP‐advantaged entrant. These results shed light on the important policy question of which markets are most likely to be susceptible to entry‐deterring tying.     

Interlinkage and Generous Tit‐for‐Tat Strategy

We investigate an infinitely‐repeated prisoners' dilemma with imperfect monitoring and consider the possibility that the interlinkage of the players' distinct activities enhances implicit collusion. We show a necessary and sufficient condition for the existence of a generous tit‐for‐tat Nash equilibrium. Such an equilibrium, if it exists, is unique. This equilibrium achieves approximate efficiency when monitoring is almost perfect, where the discount factors are fixed.     

ENDOGENOUS FLUCTUATIONS IN TWO‐COUNTRY MODELS*

This paper investigates the interlinkage in the business cycles of large‐country economies in a free‐trade equilibrium. We consider a two‐country, two‐good, two‐factor general equilibrium model with Cobb‐Douglas technologies and linear preferences. We also assume decreasing returns to scale in the consumption good sector. We first identify the determinants of each country's global accumulation pattern in autarky equilibrium, and secondly we show how a country's business cycles may spread throughout the world once trade opens. We thus give capital intensity conditions for local and global stability of competitive equilibrium paths.     

Government Expenditure Financing in a Two‐Sector Cash‐In‐Advance Model of Endogenous Growth

We show that an expansion in the government size could be desirable from the viewpoint of the economy's long‐run growth, wherein factor intensity between the sectors, the mode of public spending financing, and the form of the cash‐in‐advance (CIA) constraint are crucial. We also show that when real balances are required only for consumption purchases, money financing is equivalent to consumption tax financing, but is not equivalent to income tax financing. If both consumption and gross investment are liquidity‐constrained, then the three financing methods are mutually not equivalent. The optimal financing scheme has the following features: (1) when the CIA constraint applies only to consumption purchases, any combination of the money growth rate and the consumption tax rate that satisfies the government budget constraint constitutes an optimal financing mix; (2) when the CIA constraint applies to both consumption and investment purchases, consumption tax financing only is optimal.     

Optimal Taxation: The Design of Child‐Related Cash and In‐Kind Benefits

Abstract. In this paper, we empirically derive the welfare function that guarantees that the current German tax and transfer system for single women is optimal. In particular, we compare the welfare function conditional on the presence and age of children and assess how recent reforms of in‐kind childcare transfers affect the welfare function. Our analysis is based on a discrete model of optimal taxation. We apply this framework using microsimulation and microeconometric techniques. In general, we find that marginal welfare weights are relatively high for non‐working single women. Further, we show that the reform of in‐kind childcare transfers is only optimal if society increases the marginal welfare weights for the working single women.     

SOME OBSERVATIONS ON THE HIGH‐FREQUENCY VERSIONS OF A STANDARD NEW‐KEYNESIAN MODEL

In a small‐scale New‐Keynesian model with a hybrid Phillips curve and IS equation, the paper is concerned with an arbitrary frequency of the agents’ synchronized decision making. It investigates the validity of a fundamental methodological precept according to which no substantive prediction or explanation of a well‐defined macroeconomic period model should depend on the real time length of the period. While this principle is basically satisfied as the period goes to zero, the impulse – response functions of the high‐frequency versions can qualitatively as well as quantitatively be fairly dissimilar from their quarterly counterpart. The result proves to be robust under variations of the degree of price stickiness. The main conclusion is that DSGE modelling may be more sensitive to its choice of the agents’ decision interval.     

A spillover‐based theory of credentialism

I propose a model in which credentials, such as diplomas, are instrumentally valuable to workers. The model avoids an important criticism of standard job market signalling models by tying a worker's wage to their output. A worker's productivity is influenced by the skills of their co‐workers, where such skills arise from an ability‐augmenting investment that is made prior to matching with co‐workers. Credentials allow workers to demonstrate their investment to the labour market, thereby allowing them to match with high‐skill co‐workers in equilibrium. Despite the positive externality associated with a worker's investment, I show how overinvestment is pervasive in equilibrium.