Non-ideal Brownian motion,generalized Langevin Equation and its application to the security market

Brownian motion has been extensively applied in the field of mathematical finance in modeling the stochastic processes of returns on securities. In this paper basic and generalized Langevin Equations with memory are used to augment Brownian motion to capture the well stylized facts of the financial market that frictions and imperfect information exist. The operator method of Fourier-Laplace transform with an appropriate kernel (influence function) is used to circumvent the difficulty associated with solving a time dependent nonlinear differential Equation, and a practical computational method is proposed.From the Langevin Equation, autocorrelation of the return process and the deviation of the return distribution from an ideal Brownian motion are extracted. It is also proven that the time-dependent differential Equation has a unique solution and that it is much more generalized than a martingale Brownian motion functional.     

英特尔:多元化的教训

100亿美元出手,收获甚微。退出通信市场是英特尔公司有史以来最大的一次市场转向。4月27日,英特尔CEO Paul Otellini宣布,该公司将削减10亿美元成本支出,并将进一步确定那些不赢利的业务,并削减其成本。他还将此与上世纪80年代英特尔决定退出DRAM业务相提并论。6月,该公司     

A Note on Interaction between Financial Markets

This paper investigates the interaction between thestock market and the stock option market. When thepredictions of the future stock price distributionsare different between markets,there is a chance that the option pricing method ofBlack and Scholes with its application to anarbitrage trading strategy may lead to substantialmarket turmoil. We will also investigatethe conditions of market stability.     

Input-Output Decomposition Analysis of Sectoral Price Gaps between Japan and China

Sectoral price gaps that were observed in 1990 between Japan and China are studied in this paper by using a decomposition procedure within the input-output framework. The empirical results show that Japan exhibited producer prices that were higher than those observed in China mainly because it registered higher wages that were only partially offset by higher productivity. The effects on output cost gaps of primaryinput price differences and relative productivity levels are analysed. The effects arising from the use of direct inputs as well as the indirect effects that are incorporated into the difference of intermediate-input prices are accounted for by means of an input-output decomposition technique.     

Spatial inequality, globalization, and footloose capital

This paper shows the equivalence of spatial inequalities in industrial location and in income by revisiting the home market effect (HME) without any homogeneous good based on a reconstructed footloose capital model. In this simple framework, spatial inequalities in industrial location and in income are the HMEs in terms of firm share and wage, respectively. We show that the larger country has a more-than-proportionate share of firms and a higher wage. Furthermore, both the wage differential and the industrial location in the larger country evolve in an inverted U-pattern when transport costs decline. Finally, we analytically examine the effects of trade liberalization on the welfare and show that both countries may gain from globalization.     

Short-sale inflow and stock returns: Evidence from Japan

Using a 10-year panel of flow-based information on stock borrowings and constructing a flow-based measure for shorting demand, I examine the relation between shorting demand and subsequent stock price movements. I find that the least heavily shorted stocks tend to outperform the most heavily shorted stocks and that this outperformance persists up to three months. In addition, using proxies for information asymmetry derived from the market microstructure literature, I find that this outperformance is not confined to stocks with high information asymmetry. These empirical findings indicate that short sellers act not only as informed investors who gain negative news but also as skillful investors who detect stock price deviations from fundamental values.     

An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates

This paper proposes an asymptotic expansion scheme of currency options with a libor market model of interest rates and stochastic volatility models of spot exchange rates. In particular, we derive closed-form approximation formulas for the density functions of the underlying assets and for pricing currency options based on a third order asymptotic expansion scheme; we do not model a foreign exchange rate’s variance such as in Heston [(1993) The Review of Financial studies, 6, 327–343], but its volatility that follows a general time-inhomogeneous Markovian process. Further, the correlations among all the factors such as domestic and foreign interest rates, a spot foreign exchange rate and its volatility, are allowed. Finally, numerical examples are provided and the pricing formula are applied to the calibration of volatility surfaces in the JPY/USD option market.     

A New Computational Scheme for Computing Greeks by the Asymptotic Expansion Approach

We developed a new scheme for computing “Greeks” of derivatives by an asymptotic expansion approach. In particular, we derived analytical approximation formulae for Deltas and Vegas of plain vanilla and average European call options under general Markovian processes of underlying asset prices. Moreover, we introduced a new variance reduction method of Monte Carlo simulations based on the asymptotic expansion scheme. Finally, several numerical examples under CEV processes confirmed the validity of our method.     

Business cycle turning points based on DEA-discriminant analysis

Recently, the turning points of business cycle are decided with wide viewpoints after passing a couple of years from the points. This study tries to develop a model for judging the turning points in real-time by using a non-parametric approach, DEA-discriminant analysis, because we have sometimes faced sudden changes of economy and non-parametric approaches are useful for covering these movements. The constructed model succeeds to separate periods in Japanese economic expanding and recession terms, and the model would be helpful for the real-time judgments of the turning points of business cycle.