'Bound NSW woman' charged over false claim

A woman who told police she'd been tied up and assaulted in her Sydney home earlier this month has been charged with making the story up.

The 33-year-old woman was treated by paramedics and taken to hospital in the early hours of November 4 while local police and Sex Crimes Squad detectives investigated her claims.

She was arrested at her Glenmore Park home on Monday and charged with perverting the course of justice, making false accusations and public mischief, police said.

The woman was refused bail and is expected to face Penrith Local Court on Tuesday.