What is the value of an 1844 New Zealand Half-Farthing?
Such a coin does not exist.
Any coins circulating in New Zealand prior to 1933 would have been British coins.
You probably have an 1844 British Half-Farthing.
The value of any coin would depend on the year and the condition. Most New Zealand decimal coins, unless they are in mint uncirculated condition, would be worth face value only. NOTE - All New Zealand pre-2006 50 cent coins are no longer legal tender, but they are redeemable for face value at the Reserve Bank of New Zealand.