A position transducer for determining the fine position value z of a movable body comprises an exciter unit, which moves with said transducer, and a stationary sensor unit (7), which simultaneously emits a plurality of output signals aE(z(t)), bE(z(t)),... that together describe the fine position value. In calibration mode, a defined relationship exists between the exciter unit and a calibration unit (31), und amplitude value groups delta aE(z), delta bE(z),... are captured from the output signals and from said amplitude value groups, mean value groups AE(z), BE(z),..., are formed and supplied to the calibration unit (31) which, using the fine position calibration values [mu](z), converts said mean value groups into reference values AE([mu](z)), BE([mu](z)),... and stores said reference values with the associated fine position value [mu](AE, BE,...) as a coherent value multiplet in a comparative value memory (14). In measurement mode, amplitude value groups Delta aM(z), Delta bM(z),... are captured from the output signals aM(z(t)), bM(z(t)),... in order to determine a fine position value, and measured value groups AM(z), BM(z),... are generated from said amplitude value groups by mean value formation and are supplied to an arithmetic unit (10), which forms differences of cross products from the reference values of varying reference value groups and of the current measured value group and lets said differences tend towards zero in order to determine the current fine position value.