Considering a model of discrete demand with two consumers, this article shows that irrespective of the difference between the willingness to pay of consumers with high and low incomes, if interest rates are low, a durable goods monopolist has an advantage in discriminating prices over time. If the difference in willingness to pay is limited and interest rates high, the monopolist has an advantage in setting a price equal to the low-income consumer's willingness to pay. Finally, in the case of

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... eat difference in willingness to pay and high interest rates, the monopolist has an advantage in setting a price equal to the high-income consumer's willingness to pay, and not selling the durable good to the low-income consumer. The results show that the Coase conjecture can fail if the difference in willingness to pay is great, and interest rates are high.