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Trogulj-

Try looking at them all separately and do not try to create relationships with the different types of derivatives to better understand them. Futures and Forwards are actual contracts to buy or sell something at a future date. You are obligated in both types of contracts as either the buyer or the seller. You have to buy the asset or sell the asset at the contractually agreed price. However, with futures buyers rarely take delivery of the asset and they just find a contract with the opposite position and close out their position so they do not have to take delivery of 2 mill barrels of oil.
With options if you short (write) a put or call contract you are obligated to sell the asset at the strike price or buy the asset at the strike price. If you are long a put or a call, you have the right but not the obligation to exercise your option (sell or buy the asset at the strike price). All the short position does is collect a premium which can be used for many different purposes and strategies. Hope this helps, but if not ask more!

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