This paper explores how economic uncertainty evolves over time and how it is priced in the market. We solve for the variance premium, the prices of equity index options, and the prices of volatility related derivatives in a long-run risks model. We find that both short-run and long-run...

We use the informational content of VIX derivatives to infer implications on the non-affine modeling of the stock returns' variance dynamics. We find that both a non-affine diffusion and variance jumps are necessary to capture the short- and long-term implied volatility distribution. In- and...

Inadequate consideration of inflation when making long-term financial decisions – so-called money illusion – can have severe consequences for future financial wellbeing. Thus, it is essential to understand how different methods of informing private investors about inflation affect their...

We analyze optimal asset allocation in continuous time for a collective of tied-together investors. We rely on a specific collective utility function which dates back to Karatzas (1990), by which the fund manager maximizes the weighted average of expected individual utilities for the investors...

We extract implied price densities from wheat derivative prices during the first seven months of the Ukrainian war. Differences between short- and longterm densities indicate that market expectations about the duration of the conflict changed over time. Under simplifying assumptions, we...

Our study is the first to investigate the implications of trading in options that expire on the same day - so-called "0DTE" options. Almost the entire growth of trading in S&P 500 index options can be traced back to demand for 0DTE options. We use recent exchange-related developments to identify...

The paper analyzes the robustness of stable volatility strategies, i.e. strategies in which the portfolio weight of the stock is inversely proportional to its local volatility. These strategies are optimal for a CRRA investor if the stock follows a diffusion process, the expected excess return...

Relax certificates are written on multiple underlying stocks. Their payoff depends on a barrier condition and is thus path-dependent. As long as none of the underlying assets crosses a lower barrier, the investor receives the payoff of a coupon bond. Otherwise, there is a cash settlement at...