The authors of this study note that if you are concerned about societal and economic costs, the rate of sea rise isn’t the entire story. Much of the damage is caused by extreme events that are superimposed on a rising ocean. Damage is highly nonlinear with sea rise.
[A]s we warm the planet we are raising the baseline level of water from which extremes happen. Second, we are making some extreme weather events more likely. To measure the changes to extreme events in the future, the authors use a statistical method to estimate economic losses from coastal flooding. Using Copenhagen and other locations as test cases, they found that economic losses double when water rises only 11 cm. They also find that the costs rise faster than sea level rise itself. So, if we expect a linear increase in sea level over the next century, we should anticipate costs that increase more rapidly.