Pricing Discrete Barrier Options Under Stochastic Volatility

This paper proposes a new approximation method for pricing barrier options with discrete monitoring under stochastic volatility environment. In particular, the integration-by-parts formula and the duality formula in Malliavin calculus are effectively applied in pricing barrier options with discrete monitoring. To the best of our knowledge, this paper is the first one that shows an analytical approximation for pricing discrete barrier options with stochastic volatility models. Furthermore, it provides numerical examples for pricing double barrier call options with discrete monitoring under Heston and λ-SABR models.     

Qualitative and quantitative studies of leadership in multinational settings: Meta-analytic and cross-cultural reviews

Much of the research on leadership has been conducted by Western researchers and has led to a largely Western and individualistic perspective on leadership. This has led researchers to raise questions concerning the extent to which these theories apply globally. In particular, do Western theories of leadership apply to the same extent in more communal Asian countries, such as Japan, China, Indonesia, and Thailand? Based on leadership studies conducted in Japan, we argue that Japanese leadership practices often differ from the styles practiced widely in the West. These differences in behavior have their roots in Japanese cultural traditions and business practices. Our conclusion is based on the results of meta-analyses of studies of the five most popular leadership theories used in the West, an empirical study of transformational and gatekeeper leadership, and in-depth qualitative case studies of three Japanese corporate leaders. We observe that there are relatively few qualitative studies of leaderships in international contexts, and propose that in order to understand leadership phenomena in a global context, it is necessary to take a triangulation approach, employing surveys, experimental manipulations, company records, and qualitative interviews.     

The number of pure Nash equilibria in a random game with nondecreasing best responses

We randomly draw a game from a distribution on the set of two-player games with a given size. We compute the distribution and the expectation of the number of pure-strategy Nash equilibria of the game conditional on the game having nondecreasing best-response functions. The conditional expected number of pure-strategy Nash equilibria becomes much larger than the unconditional expected number as the size of the game grows.     

On a Statistical Analysis of Implied Data

We propose a method of evaluating the accuracy of the implied default probabilities. We modify the model proposed by Duffie et al. (Rev Fin Stud 12:678–720, 1999) to allow the parametric statistical analysis. The pseudo maximum likelihood estimator is defined and to justify our method we shall prove the consistency and the asymptotic normality of the estimator. The key step is to define a pseudo score vector and apply the method of Wald (Ann Math Stat 20: 595–601, 1949) and a delta method. We also introduce the bootstrap for estimating the accuracies, which is similar to that for regression models. To implement our method to the real data, we shall recommend the bootstrap rather than asymptotic normality.     

The increasing importance of nonfarm income and the changing use of labor and capital in rice farming: the case of Central Luzon, 1979–2003

There have been sharp increases in nonfarm income among farm households in Central Luzon for the last few decades. This study attempts to identify the effects of the increasing nonfarm income on the use of tractors and threshers and on the employment of hired labor as a substitute for family labor. We found that while the increased nonfarm income positively affects the ownership of tractors, it has no significant impact on the use of agricultural machines due presumably to the development of efficient machine rental markets. We also found that the increased nonfarm income leads to the increased use of hired labor, thereby releasing family labor to nonfarm jobs.     

Macroeconomic Implications of Term Structures of Interest Rates Under Stochastic Differential Utility with Non-Unitary EIS

This paper proposes a continuous-time term-structure model under stochastic differential utility with non-unitary elasticity of intertemporal substitution (EIS, henceforth) in a representative-agent endowment economy with mean-reverting expectations on real output growth and inflation. Using this model, we make clear structural relationships among a term structure of real and nominal interest rates, utility form and underlying economic factors (in particular, inflation expectation). Notably, we show that, if (1) the EIS is less than one, (2) the agent is comparatively more risk-averse relative to time-separable utility, (3) short-term interest rates are pro-cyclical, and (4) the rate of expected inflation is negatively correlated with the rate of real output growth and its expected rate, then a nominal yield curve can have a low instantaneous riskless rate and an upward slope.     

Toward Reasonable Capitalism: The Role of John R. Commons’s Price and Business Cycle Theories

Abstract

John R. Commons thought that prices should be stable and that the law of supply and demand should be controlled by the power of the state through patent law and by protecting bargaining equality. Commons also thought that prices should be stabilized by macro monetary policy. These means would allow the realization of a “reasonable price.” Commons called the objective and measurable value in money, which is determined by a court ruling, “reasonable value.” Analysis of Commons’s price and business cycle theories point toward the realization of both “reasonable price” and “reasonable value” and toward “reasonable capitalism” that can replace banker capitalism.     

Assessing Mortality Risk from Heat Stress due to Global Warming

With gradually progressing climate change in the future, the frequency and scale of hot summers like those observed in various places around the world in recent years will undoubtedly increase, giving rise to strong concerns over increased risk of death due to heat stress. Based on this background, we have developed a method to assess future changes in mortality due to heat stress with the entire globe as the target, and performed trial calculations using this method. The purpose of this report is to draw people's attention to the possible severe consequences of climate change by presenting the severest estimates in the uncertainty range due to adaptation/acclimation expected in the future, so as to induce further analysis and discussion on policies and measures. For the trial calculations, future changes in temperature were derived from the results of simulation using an Atmosphere‐Ocean General Circulation Model with the highest spatial resolution in the world at the time of the study. Population densities were assumed not to alter in the future. Assuming that no adaptation or acclimation takes place, when the rates of change of excess mortality due to heat stress are examined by country, the results of our calculations show increases of approximately 100% to 1000%. It is confirmed that the burden of climate change impact is quite unequal among countries, at least from the viewpoint of heat stress mortality. When considered together with present population densities, significant increases in excess mortality density can be seen in China, India, and Europe. These regions are characterized by large losses due to climate change in absolute quantitative terms. The need to consider the adoption of adaptation measures is therefore most urgent in these regions.