Quants dive into FX fixing windows debate

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The methodologies used to calculate financial benchmarks have long been a subject of debate, with much of the back-and-forth centring on their representativeness and vulnerability to manipulation.

While Libor became the posterchild for benchmark dysfunction, concerns about daily foreign exchange fixings came to the fore at the start of the Covid-19 crisis, when unusual price swings were observed during the trading windows used to calculate the benchmarks.

The episode prompted Refinitiv to launch a public consultation on lengthening the calculation window for its widely used WM/R benchmark, which is determined over a five-minute period either side of 4pm in London.

Proponents of longer calculation windows argue it would make the benchmark harder to manipulate and significantly lower transaction costs for end-users. But that thesis has never been rigorously tested and proven.

Window addressing

A new study by Deutsche Bank’s head of the quantitative R&D Lab for sales and trading Roel Oomen and Imperial College London finance professor Johannes Muhle-Karbe tackles this question head on. They found the fixing window is indeed the most significant factor in determining the outcomes for clients and dealers, and that its lengthening may be beneficial to clients, but needs to be balanced against the dealers’ response. 

“The intuition behind why a client would benefit from a longer time window is that spreading out your execution over a longer period of time reduces transaction costs due to impact decay,” explains Muhle-Karbe.

Lengthening the window also reduces price predictability during the fixing period, making the benchmark harder to manipulate.

Widening the window makes it increasingly less viable for dealers to offer the execution service on the same terms

Oomen and Muhle-Karbe compared Refinitiv’s WM/R with two other less-established benchmarks: Bloomberg’s BFIX, which is also calculated over a five-minute fixing window; and Siren, with a 20-minute window.

The modelling framework used by Oomen and Muhle-Karbe assumes the prices being benchmarked follow a random walk, but that dealer hedging has both a permanent and transitory impact. Dealers are assumed to optimise their hedging strategy using a risk-adjusted measure of profit and loss, while their clients measure execution performance by the standard arrival price metric.

The pair replicate all three benchmarks and test each of them over a fixing window of one, five and 20 minutes, to assess the impact of each combination on the dealer’s P&L and on fixing price. The charts show how the outcomes tend to cluster by window width rather than methodology type. Benchmarks calculated over a one-minute window display a higher market impact and a higher P&L Sharpe ratio for dealers, whereas benchmarks calculated over 20 minutes lead to lower market impact and lower P&L Sharpe ratio.

The study therefore shows that the weighting scheme used for the benchmark calculation – that is, how individual price observations within the fixing window are weighted – is far less important than the length of the fixing window.

No short cuts

The authors also caution against drawing simple conclusions.

Proponents of benchmarks with longer fixing windows, such as Siren, argue that they lower transaction costs for end-users because the fixing tends to deviate less from what would be considered the representative rate over that period, thereby reducing market impact.

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