Consider a two-period endowment macroeconomic model with N consumers, where N > 00. I l a I I I I l I A consumer 2 receives 1ncome y,- 1n the current period, 1ncome "17; in the future period, and pays no tax, respectively. Consumers can borrow or lend at the real interest rate 7", which is determined by the market. Consumer i consumes c,- and c; on the current and future period, respectively. Consumers have identical preferences represented by downwardsloping and convex indifference curves. (a) Show interest rate is negative correlative with current aggregate endowment and positive correlative with future aggregate endowment. Explain your answer. (b) Assume households expect the economy will slow down in next year, explain the change on bond price in details