An asymptotic expansion scheme in finance initiated by Kunitomo and Takahashi [15] and Yoshida[68] is a widely applicable methodology for analytic approximation of the expectation of a certain functional of diffusion processes. [46], [47] and [53] provide explicit formulas of conditional expectations necessary for the asymptotic expansion up to the third order. In general, the crucial step in p...

We model an impulse control problem when the controller’s action affects the state as well as the dynamics of the state process for a random amount of time. We apply our model to solve a central bank intervention problem in the foreign exchange market when the market observes and reacts to the bank’s interventions. Published by Elsevier B.V.

The purpose of this study is to make a basic Foreign Exchange Market Model. It is important to make a simple basic model at first to understand the complex emergence of exchange rate which is caused by various factors. The model is a multiagent-based model, consisting of dealer and speculator. Both agents’ action relies on market trend and their personality, either trend follower/ Contrarian. I...

This paper examines cross-listing behavior onto U.S. and U.K. stock exchanges following the enactment of the Sarbanes-Oxley Act, and tests two propositions. First, has the rate of foreign cross-listings onto U.S. exchanges decreased in the period following the enactment of the Act? Second, are foreign exchanges in particular, the London Stock Exchange attracting foreign firms in the post-Act pe...

This paper examines volatility models of currency futures contracts for three developed markets and two emerging markets. For each contract, standard models of the Unbiased Expectations Hypothesis (UEH) and Cost-of-Carry hypothesis (COC) are extended to derive volatility models corresponding to each of the two standard approaches. Each volatility model is formulated as a system of individual eq...