We consider option pricing when dynamic portfolios are discretely rebalanced. The portfolio adjustments only occur after fixed relative variation of the stock price. The stock price follows a marked point process and the market is incomplete. We first characterize the equivalent martingale...

Market makers on financial markets often act as competitiors and step into cooperations with each other at the same time. Primarily, they quote prices for investors, thus providing liquidity on the customer market. But they also trade with each other in order to reduce their inventory risk. The...

The theory of geographical markets is based on the notion that economic activity is not evenly spread and regional inequalities have an impact on the decisions of economic agents. Retail gasoline markets are almost perfect examples of geographical markets. The gasoline sold by the stations is a...

The theory of geographical markets is based on the notion that economic activity is not evenly spread and regional inequalities have an impact on the decisions of economic agents. Retail gasoline markets are almost perfect examples of geographical markets. The gasoline sold by the stations is a...

Market makers on financial markets often act as competitiors and step into cooperations with each other at the same time. Primarily, they quote prices for investors, thus providing liquidity on the customer market. But they also trade with each other in order to reduce their inventory risk. The...

We show that for any market-clearing price, average profits in a symmetric industry cannot exceed the individual profits from the Walrasian output. This immediately implies that a firm itself can guarantee to beat the market by producing the Walrasian output. This property clarifies and...

This paper evaluates the forecasting performance of a continuous stochastic volatility model with two factors of volatility (SV2F) and compares it to those of GARCH and ARFIMA models. The empirical results show that the volatility forecasting ability of the SV2F model is better than that of the...