The legal entity that owns and controls a person’s property after they die is known as an estate. The person who leaves behind an estate is called the decedent. It is customary for the decedent to appoint someone to administer the estate and act as the executor of the estate in his or her last will and testament.
The executor of the estate fulfills many roles and responsibilities for the estate throughout the probate process. One of the most important duties that an executor performs is to pay off any final expenses that the decedent incurred as well as to pay off any debts and claims against the estate. New York Surrogate’s Court Procedure Act dictates what debts and expenses should be paid out of a decedent’s estate first. However, sometimes it is not possible for an estate to satisfy all of its debts and obligations.
The Insolvent Estate
New York Estate Planning Lawyer Blog

