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...