This paper uses a Bayesian approach to estimate a two-sector sticky price model with working capital and habit formation. The estimated degrees of working capital and habit formation are all well above zero, suggesting the existence of both channels. Furthermore, we identify a new monetary policy transmission mechanism that operates through the inflation dynamics of the relative prices due to the heterogeneous degrees of working capital across sectors. Furthermore the estimated model with working capital and habit formation simultaneously accounts for the co-movement between durables and non-durables and the more sensitive response in the durable goods sector to monetary policy shocks as documented in previous studies. Using log marginal likelihood, the model with working capital and habit formation outperforms its counterpart without either of these mechanisms.