In June 2016, Cynthia died. She lived with her sister Roxanne until the time of her death. Her only asset was the home she owned jointly with Roxanne with right of survivorship. It was worth $7 million at death. Cynthia left no will and Roxanne did not apply to the court to be named administrator. Assuming that Cynthia purchased the home with her own funds, which statement is correct?

(1) no estate return need be filed because there is no one named by the court to file it.

(2) Roxanne must file the estate tax return because she is in possession of Cynthias asset and, for tax purposes, is therefore considered to be her personal representative.

(3) no estate tax return need be filed because Cynthias estate is under the filing threshold.

(4) Roxanne must appoint an executor over the estate to file Cynthias return.