A European short put option is a type of derivative contract that obligates the seller (writer) of the option to buy the underlying asset at a predetermined price (strike price) on a specific date (expiration date). This obligation arises if the buyer (holder) of the option decides to exercise the option. The term 'short' refers to the act of selling the option, and 'European' denotes that the option can only be exercised on the expiration date, not before. This is in contrast to 'American' options, which can be exercised at any time up to the expiration date. The seller of a European short put option is essentially betting that the price of the underlying asset will be higher than the strike price on the expiration date. If this is the case, the option will not be exercised, and the seller will profit from the premium received for selling the option. However, if the price of the underlying asset is lower than the strike price on the expiration date, the buyer will exercise the option, and the seller will be obligated to buy the asset at the higher strike price, resulting in a loss.

Choice A is incorrect. A European short call option does not obligate the party to buy the underlying asset. Instead, it gives the holder of the option (the buyer) the right, but not obligation, to buy an underlying asset at a specified price on a specific date.

Choice B is incorrect. An American short call option also does not obligate a party to buy an underlying asset. Similar to a European short call option, it provides the holder with the right but not obligation to purchase an underlying asset at any time up until expiration.

Choice C is incorrect. An American short put option obligates a party (the seller of put) to buy an underlying asset if exercised by buyer but it can be exercised anytime before expiration and not necessarily on specific date.