Asking-prices in negotiations serve as anchors because the final agreement often settled near the mid-point between the asking-price and the counteroffer. Precise, rather than round asking-prices serve as stronger anchors. Consequently, a popular advice for sellers is to set precise asking-prices, drawing on research focusing on a buyer’s market – where supply exceeds demand. Here, four pre-registered experiments as well as an analysis of real estate data reveal that in a seller’s market, where demand exceeds supply and buyer bid above the asking-price, setting a precise asking price is suboptimal. In a seller’s market, precise asking-prices lead to lower counteroffers, an effect driven by people’s adjustment on a finer-tuned scale, but not by their evaluations of the seller’s competence or the competitiveness of the market. Analyzing real-estate data from a fierce seller’s market shows that by increasing the roundness of the asking price by one level (for example from precise to the thousands to precise to the tens of thousands), sellers can gain thousands of euros per deal. Precision should be viewed and used in context.