Mathematics has been extremely effective in physics, but not in economics beyond finance. To establish economics as science we should follow the Galilean method and try to deduce mathematical models of markets from empirical data, as has been done for financial markets. Financial markets are...

Closed form approximations to the fundamental solution of parabolic PDEs is considered. The approach consists on approximations based on a parametrix series expansion. The approximation error can be bounded by a gaussian function and it is of an order of t^2. These explicit expressions have...

This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump assets or moment swaps. In the case of European options or...

How useful are probabilistic forecasts of the outcomes of particular situations? Potentially, they contain more information than unequivocal forecasts and, as they allow a more realistic representation of the relative likelihood of different outcomes, they might be more accurate and therefore...

In their path-finding 1973 paper Black and Scholes presented two separate derivations of their famous option pricing partial differential equation (pde). The second derivation was from the standpoint that was Black’s original motivation, namely, the capital asset pricing model (CAPM). We show...

This paper provides an overview of competing and supplementing methodologies for modelling the regional economic dynamics. The discussion provides a primer on how regional CGE, Econometric, Input-Output and SAM based models work towards capturing the region-specific, interregional and...

The hypothesis is that Pareto and Kaldor-Hicks Efficiency have an aspect of sustainability in relation to inequality. The analysis finds efficient situations reached increasing inequality as diminishing in the long term effective demand in a larger measure than counterbalancing increases thanks...

We propose to discuss a new technique to derive an good approximated solution for the price of a European call and put options, in a market model with stochastic volatility. In particular, the model that we have considered is the Heston's model. This allows arbitrary correlation between...

Using methods originating from statistical physics we model bubbles in English house prices. It is found that there was a nationwide housing bubble 2002-2007. Typically prices were 30-40% over-valued and fell around 20%. London is atypical in that the level of over-pricing was lower, only around...

From a general perspective, one could argue that large State transformations are reflect-ed in income, expenditure and employment. The information that the National Bureau of Statistics (Dane) have on income (tax and nontax) is accessible and more orderly than spending and employment. This...