This paper proposes a general approximation method for the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of Léandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g. chapter IX-7 of Malliavin (1997)) in Malliavin...

This paper presents a new asymptotic expansion method for pricing continuously monitoring barrier options. In particular, we develops a semi-group expansion scheme for the Cauchy-Dirichlet problem in the second-order parabolic partial differential equations (PDEs) arising in barrier option...

This paper proposes a general approximation method for the solution to a second-order parabolic partial differential equation(PDE) widely used in finance through an extension of Léeandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g. chapter IX-7 of Malliavin (1997))] in Malliavin...

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 an asymptotic expansion approach....

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 in Malliavin calculus is effectively applied in an asymptotic expansion approach. First, the paper derives...

This paper derives asymptotic expansion formulas for option prices and implied volatilities as well as the density of the underlying asset price in a stochastic volatility model. In particular, the integration-by-parts formula in Malliavin calculus and the push-down of Malliavin weights are...

Japan has now experienced over a decade of slow growth and deflation. This period has also been associated with protracted problems in the banking sector. A wide range of measures have been tried in to restore health in the banking sector including recapitalization, the extension of 100%...

During the 1990s, Japan began experiencing demographic changes that are larger and more rapid than in other OECD countries. These demographic changes will become even more pronounced in future years. We are interested in understanding the role of lower fertility rates and aging for the evolution...

This paper poses the following question: Is it possible to improve welfare by increasing taxes and throwing away the revenues? This paper demonstrates that the answer to this question is "yes." We show that there may be welfare gains from taxing capital income even when the additional capital...

In the past decade Japanese households have been buffeted by some big aggregate shocks. Economic growth has slowed, unemployment risk has risen, and asset prices have fallen to levels not seen since the early 1980's. These shocks have hit both households' financial and human capital. This paper...