Assuming a daily forex volume of $7.5 trillion, is it possible for an entity to trade 600 billion USD or EUR over a fortnight (approximately 30 billion per day) covertly and without influencing market conditions, potentially utilizing algorithms, dark pools, and derivative instruments?

Moving such a large sum quietly in the forex market, while theoretically possible, presents significant challenges. Here are key considerations:
Market Depth and Impact: The forex market is vast, with a daily volume of about $7.5 trillion. However, exchanging 30 billion USD or EUR daily represents a substantial portion of the market. While the market can absorb significant trades, consistently trading at such high volumes could still affect price movements, especially if the market perceives a pattern or intention behind these trades.
Use of Algorithms: Advanced trading algorithms can execute orders in a manner that seeks to minimize market impact, by breaking large orders into smaller increments and distributing them across various times and venues. These algorithms can help obscure the origin and intent of large trades.
Dark Pools: Dark pools are private exchanges that facilitate large trades without exposing the order to the public until after the trade is completed. Using dark pools can help keep trades discreet, but the liquidity they offer may not always be sufficient to handle daily volumes of $30 billion.
Derivatives: Utilizing currency derivatives, such as futures, options, or swaps, could contribute to hedging and spreading out risk. They allow for exposure adjustments without needing immediate large spot market trades. However, derivatives markets are also closely monitored and subject to regulation.
Regulatory and Surveillance Mechanisms: Major exchanges and financial institutions have sophisticated surveillance systems designed to identify unusual trading activities. Consistently executing trades at this scale would likely attract the attention of regulators and market participants, despite efforts to conceal them.

In conclusion, while it might be possible to trade such volumes using sophisticated tools and methods to reduce immediate market impact, completely avoiding detection over two weeks would be highly challenging. Transparency, price discovery, and regulatory compliance factors in the global forex market make discreetly moving such amounts complex and likely noticeable by significant trading entities and regulators.