Claim: Liv Tyler modeled when she was 14 years old.

Liv Rundgren Tyler -LRB- born Liv Rundgren ; July 1 , 1977 -RRB- is an American actress and former model . She is the daughter of Aerosmith 's lead singer , Steven Tyler , and model Bebe Buell .   Tyler began a career in modeling at the age of 14 but , after less than a year , she decided to focus on acting . After her film debut Silent Fall -LRB- 1994 -RRB- , she appeared in supporting roles in Empire Records -LRB- 1995 -RRB- , Heavy -LRB- 1996 -RRB- and That Thing You Do ! -LRB- 1996 -RRB- . Tyler later achieved critical recognition in the leading role in Bernardo Bertolucci 's Stealing Beauty -LRB- 1996 -RRB- , playing a teenage girl visiting her deceased mother 's artist friends in Italy . She followed this by appearing in supporting roles including Inventing the Abbotts -LRB- 1997 -RRB- and Robert Altman 's black comedy Cookie 's Fortune -LRB- 1999 -RRB- . She also appeared in Armageddon -LRB- 1998 -RRB- , where she played the daughter of Bruce Willis 's character and love interest of Ben Affleck 's character .   Tyler achieved international recognition as a result of her portrayal of Elf maiden Arwen Undómiel in the Lord of the Rings film trilogy -LRB- 2001 -- 2003 -RRB- . She has appeared in an eclectic range of films , including the 2004 comedy Jersey Girl , the indie film Lonesome Jim -LRB- 2005 -RRB- , the drama Reign Over Me -LRB- 2007 -RRB- and big-budget studio films such as Armageddon -LRB- 1998 -RRB- , the home invasion horror film The Strangers -LRB- 2008 -RRB- and The Incredible Hulk -LRB- 2008 -RRB- .   In 2014 , Tyler made her television debut on the HBO series The Leftovers in a recurring role .   She has served as a United Nations Children 's Fund -LRB- UNICEF -RRB- Goodwill Ambassador for the United States in 2003 , and as a spokesperson for Givenchy 's line of perfume and cosmetics .