I am the official currency of a country that is home to a city known for its tulip fields and windmills. This currency's name is also associated with a unit of weight and a type of gemstone, and the currency is subdivided into 100 smaller units, and the country is a member of the EU.

1. My value is often seen in relation to the Euro.
2. I was once represented by a guilder.
3. My country is below sea level.
4. My coins often feature the image of the country's monarch.