Constant Rebalanced Portfolio Optimization Under Nonlinear Transaction Costs

We study the constant rebalancing strategy for multi-period portfolio optimization via conditional value-at-risk (CVaR) when there are nonlinear transaction costs. This problem is difficult to solve because of its nonconvexity. The nonlinear transaction costs and CVaR constraints make things worse; state-of-the-art nonlinear programming (NLP) solvers have trouble in reaching even locally optimal solutions. As a practical solution, we develop a local search algorithm in which linear approximation problems and nonlinear equations are iteratively solved. Computational results are presented, showing that the algorithm attains a good solution in a practical time. It is better than the revised version of an existing global optimization. We also assess the performance of the constant rebalancing strategy in comparison with the buy-and-hold strategy.     

A test for rational bubbles in stock prices

This paper presents two necessary conditions for the absence of rational bubbles on the assumption that the discount rate is stationary. One condition is that real stock prices and real dividends are cointegrated with the time-varying cointegrating vector. The other is that the order of integration of real stock prices is equal to that of real dividends. The first condition is different from that proposed on the assumption of a constant discount rate. In contrast, the second condition is the same as that presented on this assumption. Examining the second condition using Japanese data, we find that Japanese stock prices and dividends satisfy the necessary condition. First version received: May 2000/Final version accepted: April 2001     

A Simple Multi-Regional Input–Output Account for Waste Analysis

The present paper provides a simple multiregional input–output model for waste analysis with which to estimate intraregional and interregional effects of industrial wastes embodied in regional final consumptions. The empirical analyses using 1995 nine-regions input–output tables reveals the regional properties of the interregional linkage effects. The Kanto and Kinki regions remarkably control the industrial waste emissions and waste landfills within their own regions by importing waste-intensive intermediate goods and services from the other regions. The Chugoku and Shikoku regions greatly contributed to the production of the waste-intensive goods and services for the other regions, considering the waste emissions and waste landfills relative to the commodity production levels. We also find that the household consumption behaviour in other regions indirectly plays a more important role in waste emissions than the municipal waste disposal behaviour in the region in question at least in 1995.     

A Method of Calculating the Downside Risk by Multivariate Nonnormal Distributions

A method of calculating the downside risk by fitting multivariate nonnormal distributions to financial data is proposed. Firstly, maximum likelihood method by using the random numbers of the Pearson distribution system are introduced. The rates of returns of the stock index are fitted to the multivariate nonnormal distributions by this method. Secondly, the cases of calculating the downside risk by the standard deviation, the percentile of historical simulation method and this method, are compared.     

Rational bubbles and non-risk neutral investors in Japan

This paper presents a sufficient condition for not observing rational bubbles in real stock prices when investors are not risk neutral and both the real interest rate and the risk premium are time varying. If the risk premium and the real interest rate are stationary, the stationarity of the first differences of real stock prices is a sufficient condition for the absence of rational bubbles. Testing this condition with data on Japanese stock prices, we find that the hypothesis that rational bubbles existed is rejected.     

The folk theorem for irreducible stochastic games with imperfect public monitoring

This paper introduces stochastic games with imperfect public signals. It provides a sufficient condition for the folk theorem when the game is irreducible, thus generalizing the results of Dutta (1995) [5] and Fudenberg, Levine, and Maskin (1994) [9]. To do this, the paper extends the concept of self-generation (Abreu, Pearce, and Stacchetti, 1990 [1]) to “return generation,” which explicitly tracks actions and incentives until the next time the state returns to its current value, and asks that players not wish to deviate given the way their continuation payoffs from the time of this return depend on the public signals that have been observed.     

Using Nonnormal Distributions to Analyze the Relationship Between Stock Returns in Japan and the US

The Pearson distribution system is researched and applied to financial engineering (Nagahara, Financ Eng Jpn Mark 2(2):139–154 in 1995, Financ Eng Jpn Mark 3(2):121–149 in 1996, Stat Prob Lett 43:251–264 in 1999, J Time Ser Anal 24(6):721–738 in 2003, A method of fitting multivariate nonnormal distributions to financial data. Discussion paper of Institute of Social Sciences, F-2006-2, Meiji University in 2006, Asia Pac Financial Markets 15(3–4):175–184 in 2008a). And a method of fitting multivariate nonnormal distributions by using random numbers from the Pearson distribution system was developed (Nagahara, Comput Stat Data Anal 47(1):1–29 in 2004). This method uses the grid search of the parameters for the maximum likelihood. In this paper, we adopt Grid-Computing and its middleware for the parameter sweep in order to reduce the computational time and the workload of this method. In the area of the financial risk management, it is very important to analyze the relationship between stock returns in Japan and the US. We analyze the data based on the same date and the following date because Japanese stock market opens before the US stock market opens in a day. We compare these returns by means of the multivariate nonnormal distributions by using this method. And we test the international transmission of stock markets movement. Furthermore, we obtain the optimal job schedule for our computer system using the middleware in order to reduce the computational time.