This paper reviews the asymptotic expansion approach based on Malliavin-Watanabe Calculus in Mathematical Finance. We give the basic formulation of the asymptotic expansion approach and discuss its power and usefulness to solve important problems arised in nance. As illustrations we use three...

This article develops a multitask model in which the agent has to produce both verifiable and unverifiable outputs in a dynamic framework as observed in actual labor markets and practices. The model derives an important result regarding the timing and the length of a wage contract. A short-term...

In this paper, we investigate equilibrium cycles in dynamic general equilibrium models with cash-in-advance constraints. Our findings are two-fold. First, in such models, if an equilibrium cycle exists, then there also exists a continuum of equilibrium cycles in its neighborhood. Second, the...

Oligopoly models are usually analyzed in the context of two firms anticipating that market outcomes would be qualitatively similar in the case of three or more firms. This is not an exception in the literature on Hotelling's location-then-price competition. In this paper, we show that the main...

The Japanese Government reports the annualized estimates of the growth rates of GDP and its main components once in 3 months, and then revises them once in a while. There have been some critical comments on the accuracy of those numbers mainly from economists who want to evaluate the current...

For estimating the realized volatility and covariance by using high frequency data, we have introduced the Separating Information Maximum Likelihood (SIML) method when there are possibly micro-market noises by Kunitomo and Sato (2008a, 2008b, 2010a, 2010b). The resulting estimator is simple and...

We have considered a general equilibrium model with monopolistically competitive markets, in which urban centers are service suppliers to all the agricultural regions as well as to the other urban centers. We have retained the forward and backward linkages of NEG to generate the agglomeration of...

This paper investigates the relationship between value relevance of the multi-step income statement and managerial opportunistic behavior. In Japan, net income is disclosed by three steps, i.e., 1) operating profits from core operating activity, 2) ordinary income, measured by adding gains and...

When an econometric structural equation includes two endogenous variables and their coefficients are normalized so that their sum of squares is 1, it is natural to express them as the sine and cosine of an angle. The Limited Information Maximum Likelihood (LIML) estimator of this angle when the...

We illustrate how to use the X-12-ARIMA program developed by the U. S. Census Bureau when you have to make seasonal adjustment data at the statistical division of the central government. As an illustration we use the Hojinkigyo-Toukei, which is one of the major statistics including sales and...