Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomialtrees (IBT) models capture the variations of the implied volatility known as \volatility smile". They provide a discrete...

Empirical observations show that education helps to protect against labor market risks. This is twofold: The higher educated face a higher expected wage income and a lower probability of being unemployed. Although this relationship has been analyzed in the literature broadly, several...

We analyze the effect of outsourcing on union wages in a simple two-stage game between a firm and a union. In contrast to public perception the ease with which the firm can outsource parts of their production does not necessarily reduce the wage set by the union. Even in the simple model...

In this paper, we provide first empirical evidence on the effect of outsourcing on union wages using linked employer-employee data for Germany. We find that low skilled workers experience a decline in the union wage premium when working in industries with high outsourcing intensities. The...

Trade unions are consistently found to compress the wage distribution. Moreover, unemployment affects in particular low-skilled workers. The present paper argues that an extended Right-to-Manage model can account for both of these findings. In this model unions compress the wage distribution by...

Most treatments of the Great Depression have focused on its onset and its aftermath. In contrast, we take a unified view of the interwar period. We look at the slide into and the emergence from the 1920-21 recession and the roaring 1920s boom, as well as the slide into the Great Depression after...

In the ideal Black-Scholes world, financial time series are assumed 1) stationary (time homogeneous) and 2) having conditionally normal distribution given the past. These two assumptions have been widely-used in many methods such as the RiskMetrics, one risk management method considered as...

A new algorithm for finding value functions of finite horizon optimal stopping problems in one-dimensional diffusion models is presented. It is based on a time discretization of the corresponding integral equation. The proposed iterative procedure for solving the discretized integral equation...

State price densities (SPD) are an important element in applied quantitativefinance. In a Black-Scholes model they are lognormal distributions with constant volatility parameter. In practice volatility changes and the distribution deviates from log-normality. We estimate SPDs using EUREX option...

The Black-Scholes formula, one of the major breakthroughs of modern finance,allows for an easy and fast computation of option prices. But some of its assumptions, like constant volatility or log-normal distribution of asset prices,do not find justification in the markets. More complex models,...