Early rehospitalization after discharge for an acute coronary syndrome (ACS), including acute myocardial infarction (AMI), is generally considered undesirable. The Centers for Medicare and Medicaid Services (CMS) base hospital financial incentives on risk-adjusted readmission rates following AMI, using claims data in its adjustment models. Little is known about the contribution to readmission risk of factors not captured by claims. For 804 consecutive patients over 65 years old discharged in 2011–13 from 6 hospitals in Massachusetts and Georgia after an ACS, we compared a CMS-like readmission prediction model with an enhanced model incorporating additional clinical, psychosocial, and sociodemographic characteristics, after principal components analysis. Mean age was 73 years, 38% were women, 25% college educated, 32% had a prior AMI; all-cause re-hospitalization occurred within 30 days for 13%. In the enhanced model, prior coronary intervention [Odds Ratio=2.05 95% Confidence Interval (1.34, 3.16)], chronic kidney disease [1.89 (1.15, 3.10)], low health literacy [1.75 (1.14, 2.69)], lower serum sodium levels, and current non-smoker status were positively associated with readmission. The discriminative ability of the enhanced vs. the claims-based model was higher without evidence of over-fitting. For example, for patients in the highest deciles of readmission likelihood, observed readmissions occurred in 24% for the claims-based model and 33% for the enhanced model. In conclusion, readmission may be influenced by measurable factors not in CMS’ claims-based models and not controllable by hospitals. Incorporating additional factors into risk-adjusted readmission models may improve their accuracy and validity for use as indicators of hospital quality.