This study investigates the lead-lag relationship between the price movements of VIX futures and VIX index levels. As a proxy for the futures, the front month VIX futures contract is used. A Johansen cointegration approach with a vector error correction model and Granger causality analysis are...

This paper investigates the relation between risk-free rates and ex-ante market volatility. It derives a theoretical model implying a negative linear relation between risk-free rates and variance futures prices. The latter are employed as a direct market-based ex-ante estimate of risk-neutral...

In December 2017, both the CBOE and the CME introduced futures contracts on bitcoin. We investigate to what extent they provide useful information for the price discovery of bitcoin. We rely on the information share methodology of Hasbrouck (1995) and Gonzalo and Granger (1995) and find that the...

In this paper, we propose an innovative VIX model which takes future market information available to the traders into account. The future information is modeled by an initially enlarged filtration in our setup. We derive an explicit representation for the anticipative VIX process and obtain the...

We elaborate economic explanations for the time-varying risk of month, quarter and year base load electricity forward contracts traded on the Nord Pool Energy Exchange from January 2006 to March 2010. Daily risk quantities are generated by decomposing realized volatility in its continuous and...

The paper discusses the problem of hedging not perfectly replicable contingent claims by using a benchmark, the numerraire portfolio, as reference unit. The proposed concept of benchmarked risk minimization generalizes classical risk minimization, pioneered by Follmer, Sondermann and Schweizer....

This paper analyzes empirical market utility functions and pricing kernels derived from the DAX and DAX option data for three market regimes. A consistent parametric framework of stochastic volatility is used. All empirical market utility functions show a region of risk proclivity that is...

We investigate the risk of holding credit default swaps (CDS) in the trading book and compare the Value at Risk (VaR) of a CDS position to the VaR for investing in the respective firm's equity using a sample of CDS stock price pairs for 86 actively traded firms over the period from March 2003 to...

This paper examines the relative information shares of the Bund, i.e. the ten-year Euro bond future contract on German sovereign debt, versus two futures with shorter maturity. We find that the Bund is most important but does not dominate price discovery. The other contracts also have relevant -...