We provide a multi-horizon characterization of the strength of the relationship between market realized variance components, namely continuous volatility and jump, and future market excess return. Building on quadratic variation theory, we find that continuous volatility is a key driver of...

Realized variance can be broken down into continuous volatility and jumps. We show that these two components have very different predictive powers on future long-term excess stock market returns. While continuous volatility is a key driver of medium to long-term risk-return relationships, jumps...

In this paper we study an incomplete Brownian motion market and use filtration reduction to obtain a complete market, and hence a unique pricing measure. We then uplift the obtained measure to the original market and study valuation and hedging via the uplifted measure. We show how a general...