Econ2103B Winter2022 Final

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Economics

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Jan 9, 2024

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1 Econ 2103B Winter 2022 Final Examination (Short-answer Questions) Date: April 24, 2022 This exam has two pages and four problems. You must stop writing at 10:00pm, Ottawa time, and start to upload your answers in a PDF format. You have 10 minutes to upload your answers. Late submission will not be accepted. Good luck! Problem 1. (15 points) Country A has the following Philips Curve: ? = ? π − 0.75 ( ? −0.05) a) (2 points) What is the natural rate of unemployment for Country A? b) (3 points) Assume ? π =0.03, graph the short-run and long-run relationship between inflation and unemployment. c) (3 points) Assume that the social cost of unemployment and inflation is described by the following loss function: ? = ? + 0.05? 2 The central bank would like to minimize this loss. Calculate the optimal level of inflation that minimizes this loss function. d) i) (2 points) Define the sacrifice ratio. ii) (5 points) Assume that the inflation rate in both country A and country B is higher than the optimal inflation rate you obtained in part c). The public in country A believes that their policymakers are committed to targeting the optimal inflation rate you obtained in part c), while the public in country B is skeptical about their policymakers’ intention to reduce inflation and achieve the optimal inflation rate. According to the rational-expectations approach, the sacrifice ratio will be lower in country A than in country B. Explain why this might be true. Problem 2. (15 points) Consider the following economy. The aggregate demand curve is given as: ? =300−2 ? . The aggregate supply curve is derived from the sticky-price model. The fraction of the firms with sticky prices is s while the fraction of the firms with flexible prices is (1-s). Assume ? =0.5. The firms with flexible prices set their prices following: ? ? = ? +( ? Y ̅ ) The firms with sticky prices set their prices following: ? ? == ?? .
The long-run AS curve is given as Y ̅ =100. a) (5 points) Derive the SRAS curve. (Note: The value of EP is not specified. You need to leave it as EP in your SRAS curve.) b) (5 points) Suppose that the economy is currently at the long-run equilibrium. Determine the equilibrium values of Y , P , and EP . Also draw the AD, SRAS, and LRAS curves to describe the equilibrium. c) (5 points) Suppose that, as a result of an expansionary fiscal policy, the aggregate demand changes to: ? =330−2 ? . Suppose that this policy was not expected. Describe the short-run equilibrium using the AD, SRAS, and LRAS curves. Determine the equilibrium values of Y , P , and EP . Problem 3. (20 points) The five equations that make up the dynamic AD–AS model are Y t Y t ( r t ) t r t i t E t t 1 t E t 1 t ( Y t Y t ) t E t t 1 t i ( ) ( Y Y ). t t t t Y t t a) (5 points) Derive the long-run equilibrium for the dynamic AD-AS model. Assume there are no shocks to demand or supply (? ? = ? ? = 0) and inflation has stabilized (? ? = ? ?−1 ) . Be sure to show each step you follow. b) (5 points) If the central bank decides to reduce the target inflation rate from 5% to 2%. Using a graph of the dynamic AD-AS model, show the effect of this change. What happens to the nominal interest rate immediately after the policy change and in the long run? Explain. c) (5 points) Suppose that there is a shock to aggregate supply (for example, a sudden increase in the oil price), which causes ? ? rise to 1 percent for one period and subsequently returns to zero. Using a graph of the dynamic AD- AS model, show the effect of this change on output and inflation rate. What happens to the nominal interest rate immediately after the policy change and in the long run? d) (5 points) Assume that the central bank decides to increase the response of interest rate to inflation (by increasing ? ? ), how does this change in policy alter the response of the economy to a supply shock you discussed in part c)? Give an economic explanation. Problem 4. (10 points) Answer the following questions a) (2 points) Describe the Lucas critique. b) (2 points) What is Ricardian equivalence? c) (6 points) Explain two problems affecting measurement of the government budget deficit.
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