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Robert Almgren

Co-Founder · Quantitative Brokers

Co-developed Almgren-Chriss optimal execution model (2001) used universally by institutional traders; co-founded Quantitative Brokers applying execution algorithms at scale.

Robert Almgren holds a PhD in applied mathematics from Princeton University and has combined academic research with practical quantitative finance throughout his career. He co-developed, with Neil Chriss, the Almgren-Chriss optimal liquidation framework — published in the Journal of Risk in 2001 — which provides a rigorous mathematical treatment of how an investor should optimally liquidate a large position over time to minimise the combination of market impact costs (which increase with trading speed) and timing risk (which increases with trading duration). The model defines a "efficient frontier" of execution strategies analogous to the Markowitz efficient frontier, trading off expected cost against cost variance. It has become the standard academic and practical framework for optimal execution and forms the basis of virtually every institutional algorithmic trading system's VWAP and implementation shortfall strategies. Almgren co-founded Quantitative Brokers, a firm specialising in algorithmic execution for futures and interest rate markets, directly implementing execution optimisation research in commercial trading algorithms. He has also done important work on empirical market impact measurement and the relationship between market microstructure and execution costs. Almgren's ability to translate theoretically rigorous optimisation mathematics into practical trading algorithms has made his work uniquely influential at the intersection of academic research and institutional trading practice.

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