Real-world software systems contain substantial amounts of cloned code. While the negative impact of cloning on software maintenance has been shown in principle, we currently cannot quantify it in terms of increased maintenance costs. However, as long as its economic impact cannot be quantified, control of cloning is probable to be neglected in practice. This paper presents an analytical cost model to estimate the maintenance effort increase caused by code cloning. The cost model can be used to assess the economic impact of cloning in a system and to evaluate investments in clone management tool support. To show its applicability, we report on a case study that instantiates the cost model for 11 industrial software systems.