Candacraig House, Strathdon, Aberdeenshire, Scotland, £2m
Where: In the highlands of west Aberdeenshire, two miles from the village of Bellabeg, 45 miles from Aberdeen airport.
What: A 12-bedroom, 11-bathroom traditional Scots baronial castle dating back to the 17th century, and three guest cottages set in 14 acres of woodland. Candacraig is currently owned by the comedian Billy Connolly.
Why: In the Cairngorms National Park, with the River Don running through the valley below, the mansion is surrounded by hills such as Morven at 871 metres, Ealasaid at 792 metres, and Ben Avon at 1,171 metres. The area is ideal for hill walking and salmon fishing.
Who: Savills, savills.com, tel: +44 131 247 3700
Villa, Guils de Cerdanya, Catalonia, Spain, €5.5m
Where: In the province of Girona, about 100 miles from Barcelona airport.
What: An eight-bedroom, ten-bathroom house built in 2003, with three floors, each offering 450 sq metres of living space. The property includes a home cinema, wine cellar and a garage large enough to fit four cars.
Why: Facing the Cerdanya valley, surrounded by the Catalan Pyrenees, the property has incredible mountain views of the Sierra del Cadi and Tosa d’Alp. The landscaped garden is planted with poplar trees on a two-tiered terrace, which offers complete privacy.
Who: Engel & Völkers, engelvoelkers.com, tel: +34 972 141 206
Château, Culoz, Rhône-Alpes, France, €1.65m
Where: In the foothills of the Alps, 5km from Culoz railway station (with direct trains to Geneva), and 65km from Geneva international airport.
What: A fully renovated 17th-century château, with 1,200 sq metres of living space and eight en suite bedrooms. The property is currently used as bed and breakfast accommodation, but is suitable for conversion.
Why: The château is 300 metres above sea level, with views over the Rhône Valley to the Grand Colombier peak.
Who: Home Hunts, home-hunts.com, tel: +33 970 44 66 43
Chalet Murphy, Verbier, Switzerland, SFr5.8m ($6.37m)
Where: In the Canton of Valais in southwest Switzerland, two hours’ drive from Geneva airport.
What: A four-bedroom Alpine chalet, in the Les Esserts area, with easy access to the golf course in summer and the ski slopes in winter. On the top level of the chalet is a master-bedroom suite, with study area and walk-in wardrobe, while the ground floor has three bedrooms, a sauna and gym.
Why: Chalet Murphy has views over the surrounding ski slopes and the mountains beyond, including the Grand Combin massif.
Who: Savills International, savills.com, tel: +44 20 7016 3740
Gimlet Summit Estate, Sun Valley, Idaho, US, $14m
Where: Ten minutes’ drive from the town of Ketchum and the Sun Valley ski resort. Friedman Memorial Airport is seven miles away, with daily flights to San Francisco, Los Angeles and Seattle.
What: A seven-bedroom, nine-bathroom house with more than 10,000 sq ft of living space, and separate two-bedroom guest house and staff quarters, all set within 214 acres of land.
Why: Facing Bald Mountain at an altitude of almost 6,000ft, the property is one of the highest and most exclusive in the Sun Valley community.
Who: Christie’s International Real Estate, christiesrealestate.com, tel: +1 310 385 2690