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Econ 100B: Macroeconomics

Problem Set #4

2022

1. As we saw in the rst problem set, the Bureau of Labor Statistics reported that the United States labor force labor force was 164,746,000 persons in August of 2022. As- suming that 2.5% of the labor force is engaged in R&D at an efficiency rate of 1/300 per million persons per year:

(a) If R&D is the only source of total-factor productivity growth what is the growth

rate of labor efficiency in the United States?

(b) If the growth rate of total factor productivity is 0.8% per year, what is the value

of a in the Cobb-Douglas production function?

2.  Consider a shock to the fraction of persons engaged in R&D in the United States that reduces the fraction by 20%.  At the time of the shock would the following increase, decrease, or be unchanged?  Briefly explain and support your explanation with the appropriate equation(s).

(a) gE .

(b)  K* .

(c)  K(t).

(d) The half-life of the shock recovery.

3. Listen to Prof. Lisa Cooks Planet Money Interview to address the following:

(a) How is the research of Prof. Lisa Cook and Prof. Paul Romer related?

(b) Briefly discuss the relationship between the Tulsa race massacre and the variables

in the Romer model for the growth rate of labor efficiency.

(c) How has racism limited economic growth in the United States from the perspective of endogenous growth theory?

(d) Briefly discuss the relationship between the Tulsa race massacre, property rights, and endogenous growth.

4. In The Entrepreneurial State Prof. Mazzucato makes a connection between Google and a government funding agency. What is the connection and what government agency is involved?

5. Expand upon your answer in question 4 to explain the interrelationship between the state and the private sector illustrated in the image from Prof. Mazzucato’s book shown on slide 13 of lecture 8.

6. Briefly summarize the role of the legal system in economic growth.

7. Referring to the analysis of unit labor cost (LCULMN01USQ661S) shown in the graphs below:

1970       1980       1990       2000       2010       2020

TIME (year)

Source:  OECD

1.0

0.8

0.6

0.4

0.2

0.0

0.2

0.4

0.6

0.8

1.0

 

−8        −6        −4        −2          0            2            4            6            8

LAG (quar)er()

Assess the relationship between the growth rate of unit labor cost  and the growth rate of GDP using the measures listed below.  Include a brief summary of the ways each measure can be classified to support your assessment.

(a) Timing.

(b) Direction.

(c) Volatility.