Estimating Forex Fair Rates with Cross-Rate and Triangular Arbitrage Analysis
Summary
The article presents a MetaTrader panel for estimating fair currency rates from direct and cross quotes, then flagging deviations and possible triangular arbitrage cycles. It describes constructing a currency matrix, inverting bid and ask quotes correctly, deriving cross rates through intermediate currencies, and filtering apparent opportunities with a threshold because spreads can erase small discrepancies. The implementation iteratively blends calculated cross rates with existing values, while the discussion considers averaging or taking medians across paths, least-squares optimization, weighting by volume or volatility, and longer currency chains. Examples explain the rate relationships, but the article does not provide rigorous out-of-sample profitability evidence. It acknowledges that longer paths add noise and transaction costs, and that a retail MetaTrader indicator cannot match the execution speed and infrastructure of specialist arbitrage firms. The panel is primarily an analysis and visualization tool; executable, durable arbitrage depends on costs and timely fills.
Key ideas
- Cross rates impose consistency relationships among currency pairs, such as deriving one pair from two others.
- A currency matrix can combine multiple quote paths to estimate a fair rate and expose discrepancies.
- Triangular cycle calculations must account for bid and ask prices, while spreads and fees can eliminate apparent profit.
- The implementation iteratively blends cross-rate estimates and uses a threshold to filter small deviations.
- Fair-rate signals do not prove a tradable edge, particularly when execution latency and transaction costs are material.
Tags
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.