In the paper, we propose a new calculation scheme for American options in the framework of a forward backward stochastic dierential equation (FBSDE). The well-known decomposition of an American option price with that of a European option of the same maturity and the remaining early exercise...

For estimating the integrated volatility and covariance by using high frequency data, Kunitomo and Sato (2011, 2013) have proposed the Separating Information Maximum Likelihood (SIML) method when there are micro-market noises. The SIML estimator has reasonable nite sample properties and...

The Japanese Government reports the annualized estimates of the growth rates of GDP and its main components once in 3 months, and then revises them once in a while. There have been some critical comments on the accuracy of those numbers mainly from economists who want to evaluate the current...

For estimating the realized volatility and covariance by using high frequency data, we have introduced the Separating Information Maximum Likelihood (SIML) method when there are possibly micro-market noises by Kunitomo and Sato (2008a, 2008b, 2010a, 2010b). The resulting estimator is simple and...

This paper studies the probability distribution and option pricing for drawdown in a stochastic volatility environment. Their analytical approximation formulas are derived by the application of a singular perturbation method (Fouque et al. [7]). The mathematical validity of the approximation is...

For the estimation problem of the realized volatility, covariance and hedging coefficient by using high frequency data with possibly micro-market noises, we use the Separating Information Maximum Likelihood (SIML) method, which was recently developed by Kunitomo and Sato (2008). By analyzing the...

This paper proposes a new approach to style analysis by utilizing a general state space model and Monte Carlo filter. In particular,We regard coefficients of style indices as state variables in the state space model and apply Monte Carlo filter as estimation method. Moreover, an empirical...

For estimating the realized volatility and covariance by using high frequency data, Kunitomo and Sato (2008a, b) have proposed the Separating Information Maximum Likelihood (SIML) method when there are micro-market noises. The SIML estimator has reasonable asymptotic properties; it is consistent...

For estimating the realized volatility and covariance by using high frequency data, Kunitomo and Sato (2008a,b) have proposed the Separating Information Maximum Likelihood (SIML) method when there are micro-market noises. The SIML estimator has reasonable asymptotic properties; it is consistent...

We investigate some issues of macro-economic statistics in Japan including the housing investment, the private non-residential investment and the quarterly (preliminary) GDP estimates. We illustrate the problems associated with the seasonality and structural break in recent Japanese...