Catherine Marlow relocated to the UK two years ago.
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Detectives investigating the murder of a finance manager found in the shower of her office have made a third arrest.
A 26-year-old man was arrested on Friday and bailed until 21 February over the murder of Catherine Marlow, 28, from New Zealand.
Police revealed the latest development at a one-week anniversary appeal near the murder scene in South Lambeth Road, Lambeth, South London on Saturday.
A post-mortem examination revealed Miss Marlow died from asphyxiation.
Last hours
Speaking at an appeal outside the crime scene, police revealed Miss Marlow's last hours before her death.
"She was catching up on some work," said Det Insp Damian Allain.
"She'd been away on holiday just before Christmas."
She left home that morning at about 0900 GMT with her flatmate. They visited a laundrette before parting ways, he said.
Miss Marlow then stopped at a deli to pick up a sandwich, before heading on to her office.
She was supposed to meet her flatmate at a nearby supermarket at 1400 GMT, calling the friend at 1336 GMT to confirm - the last known phone call she made. But the friends never met.
Police now believe she was attacked between 1336 GMT and 1400 GMT.
They believe the attack happened on the ground floor as she was on her way out of the building - though her body was discovered in the office shower.