But it isn’t just Antarctica that’s drawing high-spending clients. Where once luxury holidays meant superyachts and safaris, now the top 0.01 per cent are craving something a little more… high-octane. ‘We call them “luxe-peditions”,’ says Philippe Brown, co-founder of Kensington-based tour operator Brown + Hudson, which has arranged trips for Catherine Zeta-Jones, Jim Berkus (chairman of United Artists Talent Agency) and Brad Grey (the former CEO of Paramount), at a minimum cost of £20,000 per week, per person. Brown has recently arranged an archaeological dig in Abu Ballas, Egypt, for six Canadian businessmen, a camping trip on the rim of an active volcano in Indonesia for a Middle Eastern family and a hike through the ice caves of Afghanistan for a group of wealthy Americans.