ECON 252 – Carter – Homework 2 Student Name Here Due Friday, October 6th, 2023 at 12:00 Noon Eastern Time via Moodle. Anything submitted after that time will be marked off 10% per 24 hours. Anything submitted 72 hours late will receive zero points. Question 1 (1 point): You win $10,000! You decide to save this money for retirement in the stock market, which earns an average of 7% per year. How long (approximately, using the Rule of 70) will it take to double your money? How long exactly will it take to double your money? Is the rule of 70 a good approximation? Assuming you never deposit money into or withdraw money from this account, what will be the balance after 1 year, 2 years, 5 years, 10 years, 20 years, and 30 years? Question 2 (1 point): Suppose total output (GDP) is given by the formula π = πΎ 0.3 π 0.7 . Over the last year, capital increased by 3.5% and hours worked decreased by 1.6%. How much does total output change by, rounding to the nearest tenth of a percent. Did the increase in capital fully offset the decline in labor? What does this question tell us about the link between unemployment and output? 1/6 ECON 252 – Carter – Homework 2 Student Name Here Question 3 (1 point): What is depreciation? Why does capital depreciate? Choose a type of business to run (not a restaurant or a farm since we used those examples in class or in the textbook). What types of capital does your business utilize? What does depreciation look like for you business? Question 4 (1 point) What is net investment? How does it depend on the savings rate, the size of the economy, depreciation, and current capital stock? In the steady state with zero growth, there is zero net investment. Does this mean that all output in the economy is used for consumption? 2/6 ECON 252 – Carter – Homework 2 Student Name Here Question 5 (1 point) In the US, the savings rate is approximately 25% and the capital-output ratio is about 3. If depreciation is 7.5% per year, is the US in the steady state? (HINT: We know π π = πΏπΎ in the steady state.) If the US is not in the steady state, what would we expect the final capital-output ratio to be in the steady state? Question 6 (1 point) What is the biggest difference between the Solow and Romer models of growth? Which model of growth best explains differences between countries? Which model of growth best describes long run growth? Which model do you find more intuitive or interesting? Why? 3/6 ECON 252 – Carter – Homework 2 Student Name Here Question 7 (1 point) Unemployment can be categorized into a few high-level types. What are frictional, structural, and cyclical unemployment? How do these relate to the “natural rate of unemployment”? Does the natural rate of unemployment ever change? Can the economy ever be below the natural rate of unemployment? Can it be above the natural rate of unemployment? Assume that the normal job separation rate is 2% and the matching rate is 25%. Using the bathtub model, what would we expect the natural rate of unemployment to be? Question 8 (1 point) What is human capital? How does human capital accumulation contribute to economic growth? 4/6 ECON 252 – Carter – Homework 2 Student Name Here Question 9 (1 point): You graduate college and are presented with two job offers. The first offers to pay you $100,000 at the end of each year for five years. The second offers you $600,000, but it only pays at the end of the fifth year. What is the present discounted value of each offer, assuming a discount rate of 5%? Which offer has a higher PDV? What would be the present discounted value of each offer, assuming a discount rate of 15%? Which offer has a higher PDV? If you were deciding which offer to accept based only on PDV, which would you choose when the discount rate is 5%? Does your answer change if the discount rate is 15%? Are there factors you might consider beyond PDV when choosing between these offers? What are those factors? 5/6 ECON 252 – Carter – Homework 2 Student Name Here Question 10 (1 point) Using the quantity theory of money, what happens to the price level if output grows by 3%, velocity is unchanged, and the money supply increases by 5%? In Q2 of 2020, real GDP (output) fell by 8.35%. At the same time, the money supply increased by 22.4%. The CPI only increased by 1.0%. What must have happened to the velocity of money? Using the quantity theory of the price level, estimate the change in money velocity. 6/6