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What exactly is a “derivative”?
A derivative in finance is simply any asset whose value is based on the value of another asset or based on the value of a group of assets. A derivative contract is a type of contract (usually a 'standardized contract') with specific payout instruction based on the price changes of a different asset. The basic idea is that it becomes easier to make a claim to an asset or property (and profit from this claim), without needing to physically transfer it (or even the title to said asset), and use much less capital to do so (reduce risk). They become problematic when multiple people may have claims to the real asset, or when the value of the derivatives changes very quickly or are hard to calculate. There are also liquidity problems the further you get from the real asset. This is not a problem for all kinds of derivatives contracts. And you must recognize that derivatives are used colloquially in a way that has nothing to do with reality to cause fear in people/investors that are not financially savvy. Many derivatives also have dubious or no economic purposes such that regulators don't allow them to be traded since they can't see how it is different from gambling. This is seen in financial markets that are less liberalized or cultures with puritanical backgrounds. Typically the trick is to convince regulators that the derivative or financial product helps with reducing risk and hedging and it will get approved. I've mentioned some terminology, but this depends specifically on what kind of derivatives contract you become interested in. Swaps, Credit Default Swaps, Futures, Options, Options on Futures, Leveraged Exchange Traded Funds, Inverse Leveraged Exchange Traded Funds, warrants, and more all have their own terminology. How to trade them in a simulation? It all depends on which financial product you really become interested in.