premium (Noun) — Payment for insurance.
premium (Noun) — The amount that something in scarce supply is valued above its nominal value. ex. "they paid a premium for access to water"
premium (Noun) — A fee charged for exchanging currencies.
premium (Noun) — A prize, bonus, or award given as an inducement to purchase products, enter competitions initiated by business interests, etc.. ex. "they encouraged customers with a premium for loyal patronage"
premium (Noun) — (government) payment or reward (especially from a government) for acts such as catching criminals or killing predatory animals or enlisting in the military.
premium (Adjective) — Having or reflecting superior quality or value. ex. "premium petrol at a premium price"