Even with the prices Australia’s homes are selling for right now, it might be hard to imagine paying $4m for a three-bedroom beach house.

Yet when location and history combine it can be dynamite, as the owners of a home just listed in Malibu are well aware. The house, although small by celebrity standards, not only has spectacular views but was once the home of Judy Garland, her husband Vincente Minnelli and their daughter, Liza Minnelli. Hence the price tag.