Forwards and Swaps are typically traded over-the-counter (OTC), not on exchanges. OTC markets are decentralized venues, where trading is conducted directly between parties without a central exchange or intermediary. The products traded on these markets are often tailored to the specific needs of the parties involved, which can lead to a higher degree of complexity and risk compared to exchange-traded derivatives. On the other hand, exchange-traded derivatives, such as futures contracts and options, are standardized contracts traded on a regulated exchange. These derivatives are subject to the rules of the exchange, which provides a level of transparency and reduces counterparty risk. Therefore, given the directive from his superiors at Ace Investments, John Galloway is only allowed to trade derivatives that are exchange-traded, which excludes Forwards and Swaps.

Choice A is incorrect. Options are not exclusively traded over-the-counter (OTC). They can also be traded on exchanges, which means John Galloway is allowed to trade them according to the directive from his superiors at Ace Investments.

Choice B is incorrect. While it's true that forwards are typically traded OTC and would therefore be off-limits for John, this choice does not account for swaps, which are also primarily OTC.

Choice D is correct. Both Forwards and Swaps are OTC derivatives and are therefore not allowed to be traded by John.