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.     

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.     

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.     

Principles for Sustainable Insurance: Risk Management and Value

Some of the largest global insurers are actively pursuing the recently enacted Principles for Sustainable Insurance (PSI). While the concept of sustainability is often associated with a governance design that promotes stakeholder value, the PSI do not appear to be a call for stakeholder‐focused insurers. Rather, the PSI appear to be about internalizing tacit claims in the operations of insurers. Conceptual and empirical literature on shareholder value maximization suggests that when an insurer honors its tacit claims the value to shareholders increases. A key insight from practice is that a sincere pursuit of the PSI will expand the scope of corporate risk management.     

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     

An extensive analysis on the Japanese markets via S. Taylor's model

Applying S. Taylor's approach (1986), we make an extensive analysis on the Japanese stock market, foreign exchange market and the Japanese Government Bond Futures market. The purpose of this paper is to empirically reveal the structure of the Japanese markets via Taylor's model rather than to propose a new model. For this reason, we include a variety of analyzed data particularly for the Japanese stock market and the foreign exchange market because the results can be used in a different manner. The paper consists of three parts. But each part can be read separately. Part 1: Overshooting hypothesis for Japanese stock prices Part 2: A trend movement in daily/weekly Yen-Dollar exchange rates Part 3: Price variations of Japanese Government Futures. In the first part, the stock prices are shown to over-respond to new information, which is different from the behaviors of stock prices in other markets. In Part 2, a trend movement is revealed in Yen-Dollar exchange rates. In Part 3, a strategy in the Japanese Government Bond futures markets is shown to perform better than a buy and hold strategy.     

A Markov model for valuing asset prices in a dynamic bargaining market

This paper proposes a Markov chain model for studying the impact on asset prices of illiquidity associated with search and bargaining in an economy. The economy consists of finitely many agents who can trade only when they find each other, and any trade between agents changes the population of the agent types which affects the asset price in the future. Assuming that the equilibrium utility as well as the trade price is proportional to the asset dividend, we obtain the asset prices in steady state. Through extensive numerical experiments, we observe that the equilibrium prices exhibit the cutoff phenomenon (i.e. crash) as the fraction of pessimistic agents becomes large. Models with a market maker as well as irrational agents are also considered.     

A consistent nonparametric test for nonlinear causality—Specification in time series regression

Since the pioneering work by Granger (1969), many authors have proposed tests of causality between economic time series. Most of them are concerned only with “linear causality in mean”, or if a series linearly affects the (conditional) mean of the other series. It is no doubt of primary interest, but dependence between series may be nonlinear, and/or not only through the conditional mean. Indeed conditional heteroskedastic models are widely studied recently. The purpose of this paper is to propose a nonparametric test for possibly nonlinear causality. Taking into account that dependence in higher order moments are becoming an important issue especially in financial time series, we also consider a test for causality up to the Kth conditional moment. Statistically, we can also view this test as a nonparametric omitted variable test in time series regression. A desirable property of the test is that it has nontrivial power against T^1/2-local alternatives, where T is the sample size. Also, we can form a test statistic accordingly if we have some knowledge on the alternative hypothesis. Furthermore, we show that the test statistic includes most of the omitted variable test statistics as special cases asymptotically. The null asymptotic distribution is not normal, but we can easily calculate the critical regions by simulation. Monte Carlo experiments show that the proposed test has good size and power properties.