Leveraged Exchange-Traded Funds: Price Dynamics and Options Valuation

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This book provides an analysis, under both discrete-time and continuous-time frameworks, on the price dynamics of leveraged exchange-traded funds price dynamics and options valuation exchange-traded funds LETFswith emphasis on the roles of leverage ratio, realized volatility, investment horizon, and tracking errors. This research provides new insights on the risks associated with LETFs.

It also leads to the discussion of new risk management concepts, such as admissible leverage ratios and admissible risk horizon, as well as the mathematical and empirical analyses of several trading strategies, including static portfolios, pairs trading, and stop-loss strategies. The final part of the book addresses the pricing of options written on LETFs. The authors provide a no-arbitrage pricing approach that consistently value options on Leveraged exchange-traded funds price dynamics and options valuation with different leverage ratios with stochastic volatility and jumps in the reference index.

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The views and opinions expressed herein are those of the author and do not necessarily reflect the views of AQR Capital Management, LLC, its affiliates or its employees.

This information is not intended to, and does not relate specifically to any investment strategy or product that AQR offers. Past performance is not a guarantee of future results. Hypothetical performance results have many inherent limitations, some of which, but not all, are described herein.

Hypothetical performance results are presented for illustrative purposes only. Diversification does not eliminate the risk of experiencing investment loss.

Certain publications may have been written prior to the author being an employee of AQR. This material is intended for informational purposes only and should not be construed as legal or tax advice, nor is it intended to replace the advice of a qualified attorney or tax advisor.

You are about to leave AQR. Price Dynamics and Options Valuation. SpringerBriefs in Quantitative Financeforthcoming This book provides an analysis, under both discrete-time and continuous-time frameworks, on the price dynamics of leveraged exchange-traded funds LETFswith emphasis on the roles of leverage ratio, realized volatility, investment horizon, and tracking errors.

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I wouldnt be surprised if the discovery of new lineages shifts the tree around. You can only build a tree based on who you know and then if you find something new, it can rearrange the relationships among the other taxa. I think that weve actually made a lot of progress on the tree of life, and that the next real challenge is going to be turning back to the organisms themselves and doing the really hard work of the cell biology to then understand what the tree tells us about major transitions in evolution and major innovations across the tree.

Finding new taxa, grinding them up, and getting their DNA is much less challenging. The other aspect of the tree of life that were really struggling to handle is that fact that, among microorganisms in particular, there is a lot of lateral transfer of genes and sometimes whole genomes.