The man accused of strapping a fake bomb to teenager Madeleine Pulver's neck has been formally charged in Sydney.

Paul Douglas Peters, 50, arrived back in Sydney on a flight from the United States on Saturday morning, where he had been in custody since his arrest last month.

Uniformed and plainclothes police escorted Peters through Sydney Airport before he was driven to Sydney Police Centre in Surry Hills.

Detective Superintendent Luke Moore says Peters has been charged with kidnapping, break and enter and demanding property with intent to steal.

"I have great admiration for Madeleine Pulver and her family for the way they have dealt with this matter and what has been obviously a very traumatic time of their lives," he said.

"The job is far from done and the courts will now make their determination.

"I am very pleased that we have been able to bring this matter to where we are today relatively swiftly."

Peters has been refused bail and the matter will return to court on November 17.

He did not appear in the Parramatta Bail Court via video link, with the magistrate deeming it unnecessary.

'Important step'

"It's a slightly strange feeling to see him coming back into the country," Madeleine's father Bill Pulver told reporters outside the family's home.

"It's an important step in the process to move this thing through the courts."

Mr Pulver praised police for their "incredibly efficient work" and said Madeleine was doing a "stellar job" preparing for her HSC, which starts in four weeks.

He said he was unsure if the family would attend any court proceedings.

"We are just sitting back and watching things just like everybody else," he said.

"There's not a lot we can add to it at this point."

An international effort to track down the investment banker led to his arrest by a SWAT team in Louisville, Kentucky on August 15.

NSW Police arrived a week ago in Louisville, where Peters has been in custody since his arrest.

Madeleine Pulver. ( AAP: Supplied )

It is alleged he ambushed Ms Pulver in her family's Mosman mansion on August 3 and strapped a fake collar bomb to her neck.

The 18-year-old school girl endured 10 hours with the suspected bomb strapped to her neck.

Police later revealed there were no explosives in the device, describing it as an elaborate hoax.

The hoax was allegedly part of an extortion attempt on her family.

Peters' lawyer has previously said his client will plead not guilty to all charges.

Peters chose not to fight his extradition to Australia.

ABC/AAP