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Can an estimate of the intergenerational elasticity (IGE) be interpreted as a measure of inequality of opportunity (IOp)? If parental income is the only childhood circumstance, then the answer is yes. However, parental income is one of many potential circumstances that can shape IOp. These circumstances can influence the offspring’s income indirectly – by influencing parental income – or directly, bypassing the IGE altogether. I develop a model to decompose the interaction between childhood circumstances, parental income and offspring income. Using the Panel Study of Income Dynamics for the United States, I find that childhood circumstances account for 55% of the IGE for individual earnings and 53% for family income, with parental education explaining over a third of those shares. Furthermore, the IGE misses a large part of the influence of circumstances: only 45% of the influence of parental education on the offspring’s income goes through parental income (36% for earnings).