Question:

How to put a "0.00" value to the Money type field if it is empty?

Answer:

It is possible with the simple script that will check if the field is null and will be replaced with a 0.00 value. Here is the sample of the script:

if (Context.GetField("Your_Field").Value == null) { 
  Context.GetField("Your_Field").Value = new AmountOfMoney(0.00); 
}

This solution will work only with the field type "Money":