The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. The pricing formulas for American options, however, have not been found in general and the numerical methods are required to derive the price of these...

Standard New Keynesian models have often neglected temporary sales. In this paper, we ask whether this treatment is appropriate. In the empirical part of the paper, we provide evidence using Japanese scanner data covering the last two decades that the frequency of sales was closely related with...

We study micro price dynamics and their macroeconomic implications using daily scanner data from 1988 to 2013. We provide five facts. First, posted prices in Japan are ten times as flexible as those in the U.S. scanner data. Second, regular prices are almost as flexible as those in the U.S. and...

We construct a T¨ornqvist daily price index using Japanese point of sale (POS) scanner data spanning from 1988 to 2013. We find the following. First, the POS based inflation rate tends to be about 0.5 percentage points lower than the CPI inflation rate, although the difference between the two...