The staff have been working four days on and four days off so they can take in the sights while living abroad, a pattern which is set to continue in four to six month stints when the next group take over.
Jess Edwards, 24, from Holt, near Wrexham, says she is enjoying the experience so much in Takapuna on the east coast of New Zealand's north island that she hopes to be able to continue working there.
"It is an absolutely fantastic opportunity," she said.
"I am getting to see places I probably never would have the chance to see otherwise.
"It's very different to the working week I am used to in the UK but this was deliberately planned so we can make the most of being here.
"I have visited Australia and both the North and South Islands [of New Zealand] and generally thrown myself into the experience."
Moneypenny provides a phone answering service, handling over 8m calls a year for 6,000 clients from sole traders to multinationals.
And bosses said more UK customers had wanted calls handling through the night.