The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic...

This paper introduces a new technique to infer the risk-neutral probability distribution of an asset from the prices of options on this asset. The technique is based on using the trading volume of each option as a proxy of the informativeness of the option. Not requiring the implied probability...

A discrete time model of financial markets is considered. It is assumed that the stock price evolution is described by a homogeneous Markov chain. In the focus of attention is the expected value of the guaranteed profit of the investor that arises when the jumps of the stock price are bounded....

A discrete time model of financial markets is considered. It is assumed that the relative jumps of the risky security price are independent non-identically distributed random variables. In the focus of attention is the expected non-risky profit of the investor that arises when the jumps of the...

This paper presents an introductory analysis of price formation and volatility in the European Union Emissions Trading Scheme using highfrequency data. The results show that there are several anomalies both in the EUA spot and EUA futures market. First, price formation seems to take place on...

This paper empirically examines price formation in the European Union Emissions Trading Scheme (EU ETS). Our analysis shows that unexpected allocations of European Union Allowances (EUAs) lead to pronounced price reactions of the expected signs. Moreover, we find evidence that the adjustment of...

In this paper we model the adjustment process of European Union Allowance (EUA) prices to the releases of announcements at high-frequency controlling for intraday periodicity, volatility clustering and volatility persistence. We find that the high-frequency EUA price dynamics are very well...

The mainstream model of option pricing is based on an exogenously given process of price movements. The implication of this assumption is that price movements are not affected by actions of market participants. However, if we assume that there are indeed impacts on the price movements it no...

We focus on closed-form option pricing in Heston's stochastic volatility model, in which closed-form formulas exist only for few option types. Most of these closed-form solutions are constructed from characteristic functions. We follow this approach and derive multivariate characteristic...

We derive a semi-analytical formula for pricing forward-start options in the Barndorff-Nielsen- Shephard model. In terms of computational time, this formula is equivalent to one-dimensional integration.