We consider the mean-variance hedging of a contingent claim H when the discounted price process S is an [image omitted]-valued quasi-left continuous semimartingale with bounded jumps. We relate the variance-optimal martingale measure (VOMM) to a backward semimartingale equation (BSE) and show...

We provide a new approach to study phase transition for Ising models on closed Cayley trees. It is shown that there may exist more than one limiting measure for an Ising model on an infinite Cayley tree in both ferromagnetic and antiferromagnetic cases. The exact critical values of the...

In this paper, a geometric function is introduced to reflect the attenuation speed of impact of one firm's default to its partner. If two firms are competitions (copartners), the default intensity of one firm will decrease (increase) abruptly when the other firm defaults. As time goes on, the...

We investigate further the general Ising model on closed Cayley trees and obtain an inner bound for the phase transition region parametrized by the intensity of pair interactions on the upper and lower trees. This bound implies the exact critical value for the symmetric Ising model that we have...

We construct a bond-stock market composed of d stocks and many bonds with jumps driven by general marked point process as well as by an ℝn-valued Wiener process. By composing these tools we introduce the concept of a compatible bond-stock market and give a necessary and sufficient condition...

We consider a financial market in which the discounted price process S is an ℝd-valued semimartingale with bounded jumps, and the variance-optimal martingale measure (VOMM) Qopt is only known to be a signed measure. We give a backward semimartingale equation (BSE) and show that the density...

This study examines the advertising appeals delivered, and the cultural values reflected in Chinese advertisements in newspaper and on TV. It proved that the most frequently used advertising appeals are 'technological', 'status', 'enjoyment', 'vain', 'natural', and 'healthy' for print ads,...

The monthly frequency of price-changes is a prominent feature of many studies of the CPI micro-data. In this paper, we see how much this ties down the behavior of price-setters ("firms") in steady-state in terms of the average length of price-spells across firms. We are able to divide an upper...

This paper takes the locally collected price-quotes used to construct the CPI index in the UK for the period 1996-2013 to explore the impact of the crisis on the pricing behavior of firms. We develop a time-series framework which is able to capture the link between macro- economic variables...

We examine the relationship between the prices paid by households and their shopping patterns measured in terms of shopping frequency and the range of stores visited. We use the TNS data which allows us to control for household heterogeneity. The main contribution of the paper is that we find...