For estimating the integrated volatility by using high frequency data, Kunitomo and Sato (2008, 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 asymptotic...

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...

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...

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...

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 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...

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...

This paper studies the probability distribution and option pricing for drawdown in a stochastic volatility environment. We derive an analytical approximation formula for them by applying a singular perturbation method ([12]). Then, numerical examples show that the instantaneous correlation...

For estimating the realized volatility and covariance by using high frequency data, we introduce the Separating Information Maximum Likelihood (SIML) method when there are possibly micro-market noises. The resulting estimator is simple and it has the representation as a specific quadratic form...