Shares in one of New Zealand's biggest private health insurers, NIB Holdings, rose from $A3.10 last month to $A3.19 this month.
That resulted in analysts Morningstar re-rating the stock from accumulate to hold, saying the ASX-listed shares had moved through the trigger level.
Morningstar said the business had attractive long-term industry dynamics because it was supported by a growing population.
In New Zealand, NIB bought the Tower's healthcare business and has made a substantial investment here, with huge promotional and rebranding campaigns.
Morningstar said the business had strong growth potential.