But they have said he had injuries that indicated someone else was involved in his death.
"Police are grateful to all members of the public who have contacted us," a spokesman said yesterday.
"We are appealing for any information about known activities or sightings of Mr McMurdo, during the past week."
On Sunday the officer leading the homicide inquiry, Detective Inspector Greg Cramer, said the last known sightings of Mr McMurdo were at his house early last week.
He said it was important to hear from people who knew Mr McMurdo because police were missing a "large chunk of the puzzle over the last week or so".
Contact Orewa police, phone (09) 426-4555 or Crimestoppers, anonymously, on 0800-555-111.