While Over-The-Counter (OTC) markets have widely been studied for equity and interest-rate products, there is only scarce literature on OTC derivative equity markets. In this paper we use use Market Data for regular Eurex Options and OTC-Blocktrades to study differences for OTC and regular...

In this paper, we consider hedging and pricing of illiquid options on an untradable underlying asset, where an alternative instrument is used as a hedging instrument. We assume that the trade price of the hedging instrument is subject to market impacts caused by the hedger, as well as the...

In recent years there has been a remarkable growth of volatility options. In particular, VIX options are among the most actively trading contracts at CBOE. These options exhibit upward sloping volatility skew and the shape of the skew is largely independent of the volatility level. To take into...

The implied volatilities provided by OptionMetrics in the IvyDB database suggest substantial deviations from put-call parity that do not really exist. In S&P 500 options, artificial deviations occur because OptionMetrics uses non-synchronous index and option prices and an average implied...

The aim of this paper is twofold: to investigate how the information content of implied volatility varies according to moneyness and option type and to compare option-based forecasts with historical volatility. The different information content of implied volatility is examined for the most...

In this paper, we introduce and develop the theory of semimartingale optimal transport in a path dependent setting. Instead of the classical constraints on marginal distributions, we consider a general framework of path dependent constraints. Duality results are established, representing the...

Spread option contracts are becoming increasingly important, as they frequently arise in the energy derivative markets, e.g. exchange electricity for oil. In this paper, we study the pricing of European and American spread options. We consider the two-dimensional Black-Scholes Partial...

The construction of martingales with given marginal distributions at given times is a recurrent problem in financial mathematics. From a theoretical point of view, this problem is well-known as necessary and sufficient conditions for the existence of such martingales have been described....

This paper proposes a unique framework for the determination of the exercise boundary of American put option utilizing the mean value theorem for integration. We have isolated the path-dependent feature of the problem through a small term, and formulated an iteration procedure that avoids an...