An aqueous composition containing from 1 to 60% by weight of a polymer A) built up from a) from 10 to 50% by weight of a vinylaromatic having up to 20 carbon atoms, b) from 45 to 75% by weight of a nonaromatic hydrocarbon having two conjugated double bonds, c) from 0 to 20% by weight of a water-soluble monomer having a water solubility of at least 100 g per liter of water under standard conditions (21° C. and 1 bar), the water-soluble monomer containing no acid group or acid anhydride group, d) from 0.1 to 4.5% by weight of a monomer containing at least one acid group or acid anhydride group, e) from 0 to 30% by weight of a monomer other than a) to d), and from 40 to 99% by weight of a filler B), the weight data for A) and B) being based on the sum of A) and B).