Rising marginal cost and concavity of the production function

Suppose a production function, f, is continuous, quasi-concave and weakly monotone on the non-negative orthant of Euclidean n-space. Let c(·, ·) be the associated cost function. Then it is shown that f is concave if and only if for each w, c(w, ·) is convex.     

Generalizations of Ho–Lee’s binomial interest rate model I: from one- to multi-factor

In this paper a multi-factor generalization of Ho–Lee model is proposed. In sharp contrast to the classical Ho–Lee, this generalization allows for those movements other than parallel shifts, while it still is described by a recombining tree, and is a process with stationary independent increments to be compatible with principal component analysis. Based on the model, generalizations of duration-based hedging are proposed. A continuous-time limit of the model is also discussed. This research was supported by Open Research Center Project for Private Universities: matching fund subsidy from MEXT, 2004–2008 and also by Grants-in-Aids for Scientific Research (No. 18540146) from the Japan Society for Promotion of Sciences.     

Explaining Growth: A Contest Between Models

Recent contributions to the empirical growth literature show no tendency to convergence in specification, as researchers seek to identify new variables that can account for significant regional effects in earlier work. We conduct non-nested tests between the models of Barro (1997), Easterly and Levine (1997) and Sachs and Warner (1997). The data strongly prefer an encompassing model, but fail to reject any of the candidate models, implying that each model represents a partial truth. We identify a model that includes most (but not all) of the regressors in the candidate models and is robust to the inclusion of regional dummies.     

The cross‐Euler equation approach to intertemporal substitution in import demand

This paper addresses the empirical dilemma in identifying and estimating the parameters governing the intertemporal elasticity of substitution (IES) for import demand. We propose a new concept, the cross‐Euler equation, for overcoming this empirical dilemma. IES parameters are estimated by exploiting the cointegrating restriction implied by the cross‐Euler equation. Further, by comparing the IES estimates from the cross‐Euler equation to those from the standard Euler equation, we test the hypothesis whether import demand is affected by nuisance factors. Using the US data, we found imported goods consumption to be robust against nuisance factors, but not for domestic goods. Copyright © 2005 John Wiley & Sons, Ltd.     

Bartlett correction to the likelihood ratio test for MCAR with two‐step monotone sample

Assuming that two‐step monotone missing data is drawn from a multivariate normal population, this paper derives the Bartlett‐type correction to the likelihood ratio test for missing completely at random (MCAR), which plays an important role in the statistical analysis of incomplete datasets. The advantages of our approach are confirmed in Monte Carlo simulations. Our correction drastically improved the accuracy of the type I error in Little's (1988, Journal of the American Statistical Association, 83 , 1198–1202) test for MCAR and performed well even on moderate sample sizes.     

Can financial literacy reduce anxiety about life in old age?

This study examines the role of financial literacy in reducing anxiety about life in old age. We hypothesize that financial literacy increases preparedness for old age through better savings and investment decisions, leading to the accumulation of more assets and earning more income, which enhances financial capacity and reduces anxiety. Using data from a nationwide panel survey in Japan, we provide evidence that financial literacy can reduce anxiety about life in old age by making people capable of accumulating more assets and earning more income. Moreover, the interaction of financial literacy with age and spouse reduces anxiety, while living with children increases anxiety about life during old age. We check the robustness of our results using an alternative measure of financial literacy, changing composition of the sample, controlling for residents’ geographical dispersion, and testing for endogeneity bias. The major findings remain unchanged after considering these factors.     

Asymptotic expansions of the distributions of the structural variance estimators in a simultaneous equations system

Asymptotic expansions of three alternative classes of structural variance estimators associated with the k-class estimators of structural coefficients are derived for two parameter sequences: a sequence in which the non-centrality parameter increases while the sample size stays fixed (called large-μ or small-disturbance sequence), and that in which the number of observations increases. The accuracy of approximations to small-sample distributions are numerically examined with help of Monte Carlo studies. Properties of the sum of squared residuals of an estimated structural equation are also found from our study.     

Causality between government spending and income: the case of Saudi Arabia

The paper investigates the Granger-causal relationship between government spending (G) and income (Y) for Saudi Arabia for which G is the main driver of economic growth. Previous studies investigated two-way causality, from G to Y (Keynesian) and from Y to G (Wagnerian). This paper investigates a new explanation (post-Keynesian) that links Y to G through banks’ loan-making and deposit-creation. The latter is accompanied by an increase in statutory reserves (R). The findings are consistent with the post-Keynesian theory (from Y to R, and to G).     

Granger Causality Between Money and Income for the Japanese Economy in the Presence of a Structural Change

This paper examines Granger causality between money and income in the Japanese economy based upon a bivariate VAR model with a structural change in the trend function. We employ a stratified testing strategy incorporating preliminary tests for a unit root and for the order of cointegration rank. Our study reveals that the choice of either trend stationarity or difference stationarity, as well as the order of cointegration rank, crucially affect the test results for Granger causality. It is found that the causality from money to income was strong before 1980 but weakened or virtually disappeared after 1980; the opposite causality existed weakly before 1980 but not after 1980. The result confirms the claim by the Bank of Japan (1992) and Honda et al . (1995) among others that the role of money as a leading indicator for predicting movements in income has weakened or even disappeared in the 1980s.
JEL Classification Numbers: C32, E40