Business cycles are oscillations in economy because of recessions and expansions. In this paper we investigate the oscillation of the Gross Domestic Product (GDP) as a result of its relations with the other main macroeconomic variables such as capital, consumption and investment. There is a...

This paper studies the nonparametric identification and estimation of projected pricing kernels implicit in European option prices and underlying asset returns using conditional moment restrictions. The proposed series estimator avoids computing ratios of estimated risk-neutral and physical...

We propose a discrete-time stochastic volatility model in which regime switching serves three purposes. First, changes in regimes capture low frequency variations, which is their traditional role. Second, they specify intermediate frequency dynamics that are usually assigned to smooth...

In this paper, we established and carried-out the computational solution of some first order delay differential equations (DDEs) using hybrid extended backward differentiation formulae method in block forms without the application of interpolation techniques in determining the delay term. The...

In this paper we present a method for calculating the entire hedge surface of a derivative who’s future underlying asset has been simulated by a market simulator for example with the Monte Carlo method. Our method is built from work on penalized filtering techniques and is applied on a grid of...

American Monte Carlo is a solution to the puzzle of calculating the value of derivatives with the right to an early exercise, when using Monte Carlo simulation. One of the technique uses regression of some suitable basis functions, which is a bit arbitrary, and could if made wrong render in...

There are a couple of well-known unsatisfactory properties in the notion of effective demand defined by Benassy and one by Dreze. This is why recent authors in disequilibrium analysis study the stochastic rationing mechanism. Douglas Gale proved the existence of the equilibrium with stochastic...

This paper considers the problem of calculating optimal policy rules to stabilize fluctuations in investment in an economy where firms' investment behavior can be described by a dynamic optimization model. In the optimization model, the dynamics of investment are generated by heterogeneous...

In this paper, we investigate the following problem: How can a financial institution, which has sold an option to a client, optimally hedge the payoff of this option by investing into a stock and into the option itself? Optimality is measured in terms of minimal variance and the associated...

The application of the Cauchy distribution has often been discussed as a potential model of the financial markets. In particular the way in which single extreme, or "Black Swan'', events can impact long term historical moments, is often cited. In this article we show how one can construct...