An Asymptotic Expansion Approach to Pricing Financial Contingent Claims

We propose a new methodology for the valuation problem of financial contingent claims when the underlying asset prices follow a general class of continuous Itô processes. Our method can be applicable to a wide range of valuation problems including contingent claims associated with stocks, foreign exchange rates, the term structure of interest rates, and even their combinations. We illustrate our method by discussing the Black-Scholes economy when the underlying asset prices follow the continuous diffusion processes, which are not necessarily time-homogeneous. The standard Black-Scholes model on stocks and the Cox-Ingersoll-Ross model on the spot interest rate are simple examples. Then we shall give a series of examples on the valuation formulae including plain vanilla options, average options, and other contingent claims. We shall also give some numerical evidence of the accuracy of the approximations we have obtained for practical purposes. Our approach can be rigorously justified by an infinite dimensional mathematics, the Malliavin-Watanabe-Yoshida theory recently developed in stochastic analysis.     

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.     

Term Structure of Interest Rates Under Recursive Preferences in Continuous Time

This paper proposes a testable continuous-time term-structure model with recursive utility to investigate structural relationships between the real economy and the term structure of real and nominal interest rates. In a representative-agent model with recursive utility and mean-reverting expectations on real output growth and inflation, this paper shows that, if (1) real short-term interest rates are high during economic booms and (2) the agent is comparatively risk-averse (less risk-averse) relative to time-separable utility, then a real yield curve slopes down (slopes up, respectively). Additionally, for the comparatively risk-averse agent, if (3) expected inflation is negatively correlated with the real output and its expected growth, then a nominal yield curve can slope up, regardless of the slope of the real yield curve.     

An Asymptotic Expansion for Forward–Backward SDEs: A Malliavin Calculus Approach

This paper proposes a new analytical approximation scheme for the representation of the forward–backward stochastic differential equations (FBSDEs) of Ma and Zhang (Ann Appl Probab, 2002). In particular, we obtain an error estimate for the scheme applying Malliavin calculus method for the forward SDEs combined with the Picard iteration scheme for the BSDEs. We also show numerical examples for pricing option with counterparty risk under local and stochastic volatility models, where the credit value adjustment is taken into account.     

A new scheme for static hedging of European derivatives under stochastic volatility models

This study proposes a new scheme for static hedging of European path‐independent derivatives under stochastic volatility models. First, we show that pricing European path‐independent derivatives under stochastic volatility models is transformed to pricing those under one‐factor local volatility models. Next, applying an efficient static replication method for one‐dimensional price processes developed by Takahashi and Yamazaki (2008), we present a static hedging scheme for European path‐independent derivatives. Finally, a numerical example comparing our method with a dynamic hedging method under Heston's (1993) stochastic volatility model is used to demonstrate that our hedging scheme is effective in practice. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 29:397–413, 2009     

A theory of international currency: Competition and discipline

We explicitly consider strategic interaction between governments to study currency competition and its effects on the circulation of currencies and welfare in a two-country two-currency search-theoretic model. Each government finances public goods by means of seigniorage. Compared with a regime with two local currencies, a regime with one international currency allows the issuer of the international currency to reduce the inflation tax while collecting more seigniorage, and forces the other issuer to raise the rate to compensate for a diminished tax base. However, the country with a local currency is sometimes constrained by an inflation discipline: the more open a country is, the stronger is the discipline. Strategic selection of equilibrium gives rise to a further inflation discipline: the larger country tries to have its currency circulate abroad, while the smaller country tries to prevent the circulation of Foreign currency.     

Vertical trade and free trade agreements

We investigate the effects of free trade agreements (FTAs) on tariffs and welfare in vertical trade. We consider a three-country model, where an FTA is formed between a country exporting a final good and a country exporting an intermediate good. The FTA unambiguously leads to a reduction in the member country’s tariff, but may cause the non-member country’s tariff level to increase. In the case, where FTA raises the non-member country’s tariff level, the FTA increases that country’s welfare. In contrast, the FTA may render its member countries better off. This result implies that the formation of an FTA may not always be Pareto-improving.     

Sulawesi's Cocoa Boom: Lessons of Smallholder Dynamism and a Hands-Off Policy

The rapid expansion of cocoa production on the Indonesian island of Sulawesi over the last decade surprised the world, not least because it came mainly from smallholders This paper examines government policies that have affected the subsector, and identifies issues it faces. The study concludes that the following factors contributed to the expansion, the availability of suitable land; low production costs; a highly competitive marketing system (a result of the government s policy of limited intervention), relatively good transport infrastructure, favourable macroeconomic policies, and smallholder entrepreneurship. It is particularly important that Indonesia s government left cocoa marketing and distribution free of many of the interventions applied to other commodities. Because of the competitive marketing system, the farmgate price of cocoa in Indonesia is very high relative to the export price Issues that must be addressed if cocoa is to develop further include product quality, the ‘adding-up’ problem, pest control and VAT.     

The futures premium and rice market efficiency in prewar Japan

This article studies the interrelation between spot and futures prices in the two major rice markets in prewar Japan from the perspective of market efficiency. Applying a non‐Bayesian time‐varying model approach to the fundamental equation for spot returns and the futures premium, we detect when efficiency reductions in the two major rice markets occurred. We also examine how government interventions affected the rice markets in Japan, which colonized Taiwan and Korea before the Second World War, and argue that the function of rice futures markets crucially depended on the differences in the structure of rice spot markets. Initially the increased volume of imported rice of a different variety from domestic rice disrupted the rice futures markets. Then, government intervention in the rice futures markets failed to improve the disruption. Changes in colonial rice cropping successfully mitigated the disruption, and colonial rice was promoted in order to unify the different varieties of inland and colonial rice.     

Dynamic Games of Environmental Policy in a Global Economy: Taxes versus Quotas

The effects of environmental policy on the global environment as an international public good with a stock externality and national welfare are examined in a model with trade in a polluting commodity. The welfare effects of environmental policy, decomposed into terms of trade, abatement cost, and environmental damage effects, induce governments to adopt a strategic use of their policy measures. In the absence of international cooperation on environmental policy, it is demonstrated that the emission tax game brings about larger strategic distortions than the emission quota game.