Yen is a distinctive girls' name in United States, ranking #9759 in 2010 with 12 recorded births. The name reached its all-time peak in 1998 with 14 births ranking #7095. Since 1996, the popularity has increased by 71.4%. In 2010, approximately 1 in every 148,111 girls born was named Yen. FALLING Recent data shows the name is currently falling.