An new example of a unital simple special Jordan superalgebra over the field of real numbers was constructed in (10). It turned out to be a subsuperalgebra of the Jordan superalgebra of vector type J( ,D), but not isomorphic to a superalgebra of this type. Moreover, its superalgebra of fractions is isomorphic to a Jordan superalgebra of vector type. A similar example of a Jordan superalgebra over a field of characteristic 0 in which the equation t 2 + 1 = 0 has no solutions was constructed in (12). In this article we present an example of a Jordan superalgebra with the same properties over an arbitrary field of characteristic 0. A similar example of a superalgebra is found in the Cheng-Kac superalgebra.