Exact Solutions of a Model for Asset Prices by K. Takaoka

We are concerned with a model for asset prices introduced by Koichiro Takaoka, which extends the well known Black-Scholes model. For the pricing of contingent claims, partial differential equation (PDE) is derived in a special case under the typical delta hedging strategy. We present an exact pricing formula by way of solving the equation. Mathematics Subject Classification(2000):91B28,35K15     

Dynamic Analysis of the Exchange Rate Regime: Policy Implications for Emerging Countries in East Asia

This paper discusses exchange rate policies in East Asia. In particular, we explore whether actual policies that have been implemented by East Asian countries after the Asian Financial Crisis follow or deviate from theoretically “desirable” policies over the medium and long terms. On theoretical analysis, we show the relative superiority of a basket‐peg regime with the basket weight rule when compared with a floating regime implementing the interest rate rule or money supply rule. For countries that currently adopt a fixed exchange rate regime, they would be better off shifting toward either a basket‐peg or a floating regime over the medium term. A shift to a basket peg is more preferred when compared with a shift to a floating regime when the exchange rate fluctuations are large.     

On the Hoggard–Whalley–Wilmott Equation for the Pricing of Options with Transaction Costs

The Hoggard–Whalley–Wilmott equation is introduced to model portfolios of European type options incorporating transaction costs. The model gives rise to a nonlinear parabolic partial differential equation (PDE), whose nonlinearity reflects the presence of transaction costs. We show analytically the existence of solutions which are not necessarily convex nor concave. Numerical treatments are also given, which are devised to effectively handle an infinite domain and unbounded solutions.      

Causes and Remedies of the Japan's Long‐lasting Recession: Lessons for China

Japan has suffered from sluggish economic growth and recession since the early 1990s. In this paper, we analyze the causes of the prolonged slowdown of the Japanese economy (the lost decade). Economics Nobel laureate Paul Krugman has argued that Japan's lost decade is an example of a liquidity trap. However, our empirical analysis shows that stagnation of the Japanese economy comes from its vertical IS curve rather than a horizontal LM curve, so the Japanese economy has been facing structural problems rather than a temporary downturn. The vertical IS curve is caused by an insensitivity of investment to a lower interest rate partly because of the decline of sales due to the aging population and firms not wanting to invest. The structural problems come from the aging demographic, which is often neglected by scholars and policy‐makers, and also from the allocation of transfers from the central government to local governments, and the unwillingness of Japanese banks to lend money to startup businesses and small and medium enterprises (SMEs), mainly because of Basel capital requirements. Many countries, like China, are expected to face similar issues, particularly given the aging population. The present paper will address why the Japanese economy has been trapped in a prolonged slowdown and provide some remedies for revitalizing the economy.     

Trading and Ordering Patterns of Market Participants in High Frequency Trading Environment: Empirical Study in the Japanese Stock Market

In this study, we investigate ordering patterns of different types of market participants in Tokyo Stock Exchange (TSE) by examining order records of the listed stocks. Firstly, we categorize the virtual servers in the trading system of TSE, each of which is linked to a single trading participant, by the ratio of cancellation and execution in the order placement as well as the number of executions at the opening of the afternoon session. Then, we analyze ordering patterns of the servers in the categories in short intervals for the top 10 highest trading volume stocks. By classifying the intervals into four cases by returns, we observe how different types of market participants submit or execute orders in the market situations. Moreover, we investigate the shares of the executed volumes for the different types of servers in the swings and roundabouts of the Nikkei 225 index, which were observed in September in 2015. The main findings of this study are as follows: Server type A, which supposedly includes non-market making proprietary traders with high-speed algorithmic strategies, executes and places orders along with the direction of the market. The shares of the execution and order volumes along with the market direction increase when the stock price moves sharply. Server type B, which presumably includes servers employing a market making strategy with high cancellation and low execution ratio, shifts its market making price ranges in the rapid price movements. We observe that passive servers in Server type B have a large share and buy at low levels in the price falls. Also, Server type B, as well as Server type A, makes profit in the price falling days and particularly, the aggressive servers in the server type make most of the profit. Server type C, which is assumed to include servers receiving orders from small investors, constantly has a large share of execution and order volume.     

Remarks on the Nonlinear Black-Scholes Equations with the Effect of Transaction Costs

We deal with the solvability and a weak formulation of nonlinear partial differential equations of Black-Scholes type for the pricing of options in the presence of transaction costs. Examples include the Hoggard–Whalley–Wilmott equation, which is introduced to model portfolios of European type options with transaction costs based on the idea of Leland. The cost structure gives rise to nonlinear terms. We show the existence and the uniqueness of solutions both in the classical and the weak sense, where the notion of weak solutions is introduced.     

中国的双顺差、日本经验及失衡调整

我要讲的题目是"中国的双顺差:失衡与相互依赖",主要是从90年代开始,在过去十六年中的十三年,中国国际收支经常账户和资本账户同时出现了盈余,也就是出现了双顺差.这是非常特殊的现象.首先,我从国别比较的角度来透视中国出现双顺差的独特性,然后分析中国的双顺差是如何产生的.我认为,中国的双顺差主要是由加工贸易和外商直接投资推动的.     

Exchange rate policy in the pacific: an evaluation of currency basket regimes

The Pacific island countries have opted for exchange rate regimes with varying degrees of flexibility. Whereas several microstates have adopted an external currency as their legal tender, others have decided to use a basket currency, and yet others have chosen a managed float. The choice of exchange rate regime can have far reaching economic consequences. In the paper, we study the basket currency arrangements by Fiji, Samoa, the Solomon Islands, and Tonga. We first build a new four‐country exchange rate model that illustrates how monetary authorities should best determine the weights of the basket currencies given certain macroeconomic objective functions. In this model, we explicitly include tourism flows. In the second part of the paper, we estimate the de facto weights of foreign currencies in the currency basket of the four countries. We show how the composition has changed amid the global financial crisis. Finally, we demonstrate that the current weights are not optimal compared with the predictions of our model.     

Evolution of multivariate copulas in continuous and discrete processes

There has been much interest in copulas, which are known to provide a flexible tool for analyzing the dependence structure among random variables. Dependence relations must be dynamic rather than static in nature. However, copulas are useful mainly for static matters. Thus we introduce evolving multivariate copulas, which transform through time autonomously governed by the multivariate heat equation. Our aims are to prove their existences and solutions to analyze their transitions. Moreover, we construct discrete type to apply empirical data analysis and investigate their properties, and prove that they converge to their original continuous type.     

Identification of Systemically Important Financial Institutions and Implications for Financial Architecture in Korea

Abstract

The global financial crisis has put a spotlight on concerns about financial system stability. Currently, there are discussions about how to identify systemically important financial institutions (SIFIs) and how to strengthen regulatory measures for these SIFIs. Against the backdrop, this study aims to identify SIFIs by measuring inter-sectoral financial transactions with the flow of funds (FOF) account as a measure of interconnectedness. The empirical results show that banks or insurance companies can be SIFIs only in terms of size. However, foreign banks' branches (FBB) and credit-specialized institutions can also be SIFIs in terms of interconnectedness. Especially the systemic importance of FBB in Korea has increased considering the fact that financial crisis in Korea resulted mainly from foreign exchange market. Therefore, more specific discussions and regulatory measures for SIFIs will be required from the perspective of capital market development and Korea's situation.