The recent nancial crisis has damaged the reputation of macroeconomics and prompted researchers to rethink the core of modern macroeconomics. The current core is the dynamic stochastic general equilibrium (DSGE) approach. This approach is based on the assumptions of rational expectations, intertemporal optimization, and market clearing and hence is coherent. Moreover, DSGE models can be calibrated and estimated to provide quantitative predictions and may be useful for policy analysis. However, these models fail to explain many puzzling phenomena in nance and macroeconomics. Besides the celebrated equity premium puzzle, there are many questions we still do not know much. For example, what are the sources of business cycles? Why are stock markets so volatile? Does the stock market comove with the real economy and how can one explain their relationship? What is the role of banks and credit markets and how do they impact the real economy? Standard DSGE models typically feature a unique deterministic steady state. The steady state is determinate and intrinsically stable in the sense that in the absence of exogenous aggregate shocks, the economy would tend toward the steady state. Economic uctuations are then driven by various sorts of exogenous shocks. These shocks could come from the demand side or the supply side and include technology shocks, preference shocks, nancial shocks, news shocks, and uncertainty shocks, etc. These shocks must face two questions: Can a small shock I would like to thank Jess Benhabib for helpful comments. yDepartment of Economics, Boston University, 270 Bay State Road, Boston, MA 02215, USA; CEMA, Central University of Finance and Economics, China; and AFR, Zhejiang University, China. Email: miaoj@bu.edu. Tel: (617) 353 6675.