A method and apparatus for interframe predictive video coding and decoding which avoid the accumulation of rounding errors and thus obtain high-quality reproduced pictures. A frame memory outputs at least one reference picture to a prediction picture calculation unit, according to motion vector information with half-pel accuracy. From the reference picture(s), the prediction picture calculation unit produces a prediction picture by performing interpolation operations if the motion vector has a half-pel component. Here, each interpolated pel value is rounded off to an integer according to a particular rounding algorithm specified by a calculation controller. More specifically, the prediction picture calculation unit supports a first algorithm that rounds off the pel values toward positive infinity and a second algorithm that rounds off them toward negative infinity. The calculation controller outputs a rounding control signal that directs the prediction picture calculation unit to select either of those two algorithms with substantially equal probabilities of occurrence.