We define a stochastic integral with respect to sub-fractional Brownian motion SH with index H∈(0,12) that extends the divergence integral from Malliavin calculus. For this extended divergence integral, we establish versions of the formulas of Itô and Tanaka that hold for all H∈(0,12).

Let , i=1,2, be two independent sub-fractional Brownian motions with respective indices Hi[set membership, variant](0,1). We consider the so-called collision local time where [delta] denotes the Dirac delta function. By an elementary method we show that lT is smooth in the sense of Meyer and...

This paper proposes a model of international trade with capital accumulation and financial intermediation. This is achieved by embedding the Melitz (2003) model into an incomplete-markets neoclassical framework with an endogenous credit market. The model preserves the analytical tractability of...

We develop a macroeconomic model with adverse selection. A continuum of households purchase goods from a continuum of anonymous producers. The quality of products can only be learned after trade. Adverse selection arises as low-quality goods deliver higher profits for producers but are less...

Carbon emissions, per capita carbon emissions, and carbon emissions per unit GDP are traditionally used as indicators of the real carbon emission of a region. However, input variables such as capital and labor and influential factors such as the industrial structure and regional differences are...

Public owners face a constant demand for developing new projects and for funding the renewal, maintenance and operation of existing infrastructure projects. One way to raise capitals to provide new financial resources to constrained budgets is to securitize a stream of revenue cash flows from a...