7) In the example with credit market imperfections in general equilibrium, suppose that borrowers can default on their tax liabilities in the same way they default on their liabilities to private sector lenders. That is, in the future period, each borrower owess(1+r) to private lenders, and owes t to the government, so each borrower faces the borrowing constraint: s(1+r) + t d.

(a) Given this difference in the borrowing constraint, determine the consumption of lenders, the consumption of borrowers, in the current and future periods, and the market real interest rate in equilibrium.

(b) What are the effects of an increase in the quantity of government debt B on the consumption of lenders and borrowers in the current and future periods, and on the market interest rate?

(c) Explain your results in part (b)

Can you please elaborate on the objective function and perhaps try to complete the question without the objective function? Thanks!