Walras’s law is derived from the budget constraints of all the economic agents in the economy. Can Say’s law be similarly derived from budget constraints? Use the relevant constraints and specify the additional assumptions needed for this derivation. Assess the validity of these assumptions.

B. Consider the following model where the monetary policy will be the only policy variable affecting demand for output. For expositional purposes the income velocity of money is held constant. With these assumptions the aggregate demand for output can be written in logs as: mt + v = Pt+ Yt The above equation is the equation of exchange in logs (equation that addresses the relationship between money and price level, and between money and nominal GDP. The equation tells us that total spending (M x V) is equal to total sales revenue (P x Y)). To complete the model we need to add the aggregate supply equation and a money supply rule. yt = y'+ a(pt - Et-1pt1) (2) mt = Byt-1+Et (3) Given that agents form expectations rationally, find a solution for (i) yt and (ii) pt. Is there any scope in this model for the policy authorities to influence the output through systematic stabilisation policy? Explain your answer.

first image is just the resource. second image has the questions 6,7 and 8 * also note This economy’s central bank follows agiven Monetary Policy Rule: r = i = 0.025 × Y + 0.0003 × P , where P is the pricelevel.

Suppose the economy begins at full employment. Label this starting point as point "1." Then, suppose that, due to increased instability in the financial markets, a decrease in investor and consumer confidence occurs. Show the effects on your graph and label the new equilibrium point "2." Lastly, suppose the Federal Reserve wants the economy to return to full-employment as quickly as possible. Should the Fed intervene? If so, show the impact of successful monetary policy on your graph. Label this new equilibrium point "3."