Agent CKD Kennedy Macpherson has racked up another top-drawer estate success with the private sale of the 4000-acre Clarendon Park Estate, near Salisbury, Wiltshire.

The deal, rumoured to be worth about £30m, follows the firm’s disposal of the 1700-acre Edgcote Estate in Oxfordshire for a similar amount last year.

Clarendon, which included a Grade I house in need of an extensive overhaul and at least 10 cottages, belonged to Grainfarmers’ chairman Andrew Christie-Miller.

Mark Lawson, from The Buying Solution, Knight Frank’s buying arm, confirmed he acted for the purchaser but would not reveal any more details.

However, he said there were not enough large estates available to meet the demand from the super wealthy.

“They are such a rare commodity.”

One property, however, that could fit the bill is the newly launched Culham Court Estate overlooking the river near Henley-on-Thames.

On the market with Knight Frank for more than £25m, the 649-acre estate includes a Grade II listed 10-bed Georgian house and five estate houses and cottages.

The land is a mixture of arable and pasture, with the grass let on a short licence and the Grade 2 soil farmed under a contracting agreement.

Three boreholes have abstraction licences for 11m gallons of water for agricultural use.