Consider an economy of three-period-lived people in overlapping generations. Each person is endowed with y goods when young and old and nothing when middle-aged. The population of each generation born in period t is Nt, where Nt = nNt-1. There are no assets other than loans. Explain how credit can be used to provide for consumption when middle-aged. Point out who lends to whom and write the condition for the equality of supply and demand for loans in period t. Write the budget constraints for the young, the middle-aged, and the old. Be sure to define any notation you introduce.