Task06

Answer ALL the parts with complete solutions

Consider a two-period small open endowment economy populated by a large number of households with preferences described by the lifetime utility function ln C1+(10/11)lnC2 , where C1 and C2 denote, respectively, consumption in periods 1 and 2. Suppose that households receive exogenous endowments of goods given by Q1 = Q2 = 10 in periods 1 and 2, respectively. Every household enters period 1 with some debt, denoted B0, inherited from the past. Let B0 be equal to -5. The interest rate on these liabilities, denoted r0, is 20 percent. Finally, suppose that the country enjoys free capital mobility and that the world interest rate on assets held between periods 1 and 2, denoted r*, is 10 percent. Compute the equilibrium levels of consumption, the trade balance, and the current account in periods 1 and 2.

Task08.

Answer the following questions.

The local council of a city plans to reduce pollution by imposing a tax on gasoline. To avoid any backlash from voters, they decide to impose the tax on gas stations, and not the buyers. Draw a diagram to show how a gasoline tax imposed on gas stations would affect the price of gasoline and the quantity sold. Make sure that your diagram shows the tax, which curve shifts and how, the original equilibrium before the tax (P and Q), and the situation after tax (P and Q from the point of view of buyers and sellers). Discuss whether the council will be successful in avoiding any effects on buyers.

COVID-19 vaccines reduce both the risk of people who get vaccinated to get a serious form of the disease, and the risk of them infecting other people. What economic concept does this positive effect onto other people illustrate?

Imagine that vaccines are sold like many other goods in a competitive market. Draw the diagram to show the market for vaccines and the impact vaccines have onto people who don't necessarily get vaccinated. Show the market equilibrium and the socially optimal equilibrium. Explain in words why in the absence of any government intervention the quantity of vaccines that people would choose to buy would be less than the socially optimal quantity. How can government encourage more people to get vaccinated?

Imagine that there a single formula for COVID_19 vaccine production and that the inventor and manufacturer of that formula can choose the price at which they sell the vaccine to the public. Now imagine that the government buys the formula for the vaccine and gives it for free to all pharmaceutical companies who are interested in producing the vaccine. Beyond the investment in developing the formula, the marginal cost or producing vaccines is constant and small. For simplicity we assume that the demand for vaccines is downward sloping and linear.

Draw a diagram to show the price and quantity of vaccine that the single firm would choose to maximize their profit. On the same diagram, show the price and quantity of vaccines that would be produced if a large number of small manufacturers would compete in this market. Which outcome is efficient and why?

Bonus Question (2 marks): In reality, there are several vaccines for COVID-19 already, with slightly different formulas, costs and price points. What type of market structure best characterizes the market for vaccines? Is this type of market better or worse than having a single producer? Why?

Part B Solve the following problem and answer each question (35 marks)

Assume you have the following information about testing for COVID-19 in a typical laboratory.

The first column shows the number of specialized personnel that could work on testing in any given day (L). The second column shows the number of COVID-19 tests that can be performed daily in the laboratory (Q) given the number of people hired. The TC column shows the total costs of performing the number of tests from column (2).

Please note that all these numbers are hypothetical and created for the purpose of this exam! I have no expertise in this area.

L

Q

MPL

APL

FC

VC

TC

AVC

ATC

MC

0

0

1800

1

50

2750

2

120

3940

3

220

5490

4

360

7520

5

480

9310

6

560

10620

7

630

11810

8

670

12640

9

700

13350

10

710

13820

Complete the table (14 marks)

What do MPL, APL acronyms stand for? Explain the concepts behind them. (2 marks)

Why do the MPL numbers first increase and then increase? (2 marks)

How much is the fixed cost of production? Give two examples of fixed costs that you think a testing lab might incur. (2 marks)

Assume that the lab is run by a government agency. If the government wanted to perform the maximum number of tests every day, how many tests would the lab perform? How many people should they hire? What would be their cost per test? What would be the total cost of testing per day? (4 marks)

If the lab wanted to produce their output with the lowest cost per unit (ATC), how many people would get tested daily? What is the cost per test performed daily in this case? How many people would be hired by the lab? (3 marks)

Now assume the lab is privately owned. The government offers to pay the lab $24 per test. If the lab is looking to maximize its profit (like any other private entity) how many tests should the lab perform daily? How many people should they hire? What is the cost per test performed daily in this case? What is the lab's daily profit? (4 marks)

If the government plans to reduce the price per test they offer, what is the minimum price level for a test at which the lab will continue to perform tests in the short run? Explain.(2 marks)

If the number of labs can easily change (new labs can be easily set up and running) what do you predict will be the price for a test and the daily profit of a lab in the long run? Explain. (2 marks)

iii.

Exercise 4.2 (Anticipated Terms-of-Trade Shock) Consideretwo-period small open endowment economy populated by a large number of households with preferences given by the lifetime utility function V 0102: where Cl and 02 denote consumption of food in periods 1 and 2, respectively. Suppose that households receive exogenous endowments of copper given by Q; = 02 = 10 in periods 1 and 2, respectively. The terms of trade in periods 1 and2 areTT1 =TI'2=1. Everyhouseholdentersperiod 1 with no assets or liabilities inherited from the past, 3.; = 0. Finally, suppose that the country enjoys free capital mobility and that the world interest rate on assets held between periods 1 and 2, denoted r', is 5 percent. 1. Compute the equilibrium levels of consumption. the trade balance, and the current account in periods 1 and 2. 2. Assume now that the terms of trade in period 2 are expected to increase by 50 percent. Calculate the effect of this anticipated terms of trade improvement on consumption, the trade balance, and the current account in periods 1 and 2. Provide intuition