On the non-existence of a marginal cost pricing equilibrium and the Ioffe normal cone

This paper is Chapter II of the author's Ph. D. thesis, being written at the University of Illinois. The author is indebted to M. Ali Kahn for his guidance, to R. Vohra for a valuable conversation and to an ananonymous referee for comments. The author was informed by M. Ali Khan that, subsequent to the submission of this paper, a similar example was independently announced by B. Cornet. — As usual, all remaining errors are the author's.     

Model Predictive Control for Optimal Pairs Trading Portfolio with Gross Exposure and Transaction Cost Constraints

Model predictive control (MPC) is a flexible yet tractable technique in control engineering that recently has gained much attention in the area of finance, particularly for its application to portfolio optimization. In this paper, we extend the MPC with linear feedback setting in Yamada and Primbs (in: Proceedings of the IEEE conference on decision and control, pp 5705–5710, 2012) by incorporating the following two important and practical issues: The first issue is gross exposure (GE), which is the total value of long and short positions invested in risky assets (or stocks) as a proportion of the wealth possessed by a hedge fund. This quantity measures the leverage of a hedge fund, and the fund manager may limit the amount of leverage by imposing an upper bound, i.e., a GE constraint. The second issue is related to transaction costs, where the MPC algorithm may require frequent trades of many stocks leading to large transaction costs in practice. Here we assume that the transaction cost is proportional to the change in the amount of money (i.e., the change of absolute values of long or short positions) invested in each stock. We formulate the MPC strategy based on a conditional mean-variance problem which we show reduces to a convex quadratic problem, even with gross exposure and proportional transaction cost constraints. Based on numerical experiments using Japanese stock data, we demonstrate that the incorporation of the transaction cost constraint improves the empirical performance of the wealth in terms of Sharpe ratio, which may be improved further by adding the GE constraint.     

An Explicit Finite Difference Approach to the Pricing Problems of Perpetual Bermudan Options

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. Pricing formulas for options with the early exercise feature, however, are not easy to obtain and the numerical methods are thus frequently required to derive the price of these options. The value function of perpetual Bermudan options is characterized with the partial differential equation and this is solved by the finite difference method in this article.     

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.     

Risk-sensitive Portfolio Optimization with Two-factor Having a Memory Effect

Risk-sensitive portfolio optimization problems are studied with a specific setting: a market model with a two-dimensional linear-factor is considered, where the factor consisits of an Ornshtein-Uhlenbeck process and its historic weighted-average. A sharp solvability condition is obtained in risk-seeking case. Further, an application of CPPI technique is mentioned to treat a problem with floor-constraint.     

INCOME REDISTRIBUTION THROUGH THE TAX SYSTEM: A SIMULATION ANALYSIS OF TAX REFORM

In this paper, we consider reforming the tax system to a comprehensive income tax model in order to amend the differential treatment of income sources. Our simulation analysis shows that the tax reform improves the effectiveness of the tax system on the redistribution of all sources of income including earned income, financial wealth income, and imputed rent. The analysis of incidence of the tax reform suggests that the tax burden for young renters decreases the most and that for young loan-free land owners increases the most through this tax reform.     

A supply chain-transport supernetwork equilibrium model with the behaviour of freight carriers

This paper presents a supernetwork equilibrium model integrating supply chain networks with a transport network, namely, a supply chain-transport supernetwork equilibrium model. The model takes into account the behaviour of freight carriers and transport network users to endogenously determine the transport costs generated in the supply chain networks. The interaction between transport network and supply chain networks can also be examined. Results of the numerical tests reveal that the improvement of transport network could enhance the efficiency of supply chain networks. The paper makes contributions to modelling of supply chain networks as well as to that of transport networks.     

The Effect of Bank Relations on Investment Decisions: An Investigation of Japanese Takeover Bids

We study 154 domestic mergers in Japan during 1977 to 1993. In contrast to U.S. evidence, mergers are viewed favorably by investors of acquiring firms. We document a two-day acquirer abnormal return of 1.2 percent and a mean cumulative abnormal return of 5.4 percent for the duration of the takeover. Announcement returns display a strong positive association with the strength of acquirer's relationships with banks. The benefits of bank relations appear to be greater for firms with poor investment opportunities and when the banking sector is healthy. We conclude that close ties with informed creditors, such as banks, facilitate investment policies that enhance shareholder wealth.     

The Effects of Incidence of Care Needs in Households on Employment,Subjective Health,and Life Satisfaction among Middle‐aged Family Members

In this study, based on longitudinal data, we investigate whether Japanese middle‐aged men and women become less likely to have a job and whether their sense of well‐being decreases when they have a family member who needs care. We find a consistent negative impact of having a family member who needs care on employment, but no impact on subjective health and life satisfaction. Further, the differences‐in‐differences (DID) estimation, based on both unmatched and matched data, shows that the Long‐Term Care Insurance (LTCI) introduced in 2000 did not mitigate the adverse impact on the probability of being employed.