The New Keynesian Real Business Cycle model with staggered price adjustment is augmented with a R&D producing sector. Two sources of economic shocks are separately considered, namely random participation (perturbances to value of alternative investment opportunities in another sector) and financial intermediation (shocks to the cost of raising capital in the financial intermediation market). We find that, when comparing to the baseline model, both random participation and financial intermediation models can explain pro-cyclical R&D spending. Additionally the investment oversensitivity problem is corrected. However, only the financial intermediation model is consistent with the observed finding that the volatility of R&D is larger than that of investment and output.
Fung, Ka Wai Terence, "A R&D Based Real Business Cycle Model" (2011). CUNY Academic Works.