Problem 4 a) Prof Andrew described steady states as "horrible places to be." Was this claim absolute or relative? Do countries having steady states that are lower in the capital have worse living qualities? b) Imagine a world where there are “n" countries with different levels of capital, k. They all share the same saving level, birth rate, and the same GDP per capita function. The only thing that differs is their depreciation rate. In this world, how does the distribution of income in the short term and long term look like? Think about the shape it would take.

Problem 4 a) Prof Andrew described steady states as "horrible places to be." Was this claim absolute or relative? Do countries having steady states that are lower in the capital have worse living qualities? b) Imagine a world where there are “n" countries with different levels of capital, k. They all share the same saving level, birth rate, and the same GDP per capita function. The only thing that differs is their depreciation rate. In this world, how does the distribution of income in the short term and long term look like? Think about the shape it would take.

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter19: The Macroeconomic Perspective

Section: Chapter Questions

Problem 25CTQ: Cross country comparisons of GDP per capita typically use purchasing power parity equivalent...

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Cross country comparisons of GDP per capita typically use purchasing power parity equivalent exchange rates, which are a measure of the long run equilibrium value of an exchange rate. In fact, we used PPP equivalent exchange rates in this module. Why could using market exchange rates, which sometimes change dramatically in a short period of time, be misleading?
a. Given a per capita production function ofy= k^0.5, a savings rate of 10%, a depreciation rate of 2%, a technological growth rate of 1%, and a population growth of 3%, what is this economy's steady-state level of output per capita. In a sentence, describe over time what is happening to this economy's level of RGDP when the economy is in a steady state. b. Imagine that the economy described in part a of this problem begins time (tO) with 1 unit of capital per effective worker. Assume that investment demand rises at the same rate as real GDP. Further, assume that by time t1 this economy has achieved the steady-state level of capital. On the left-hand side of the plots below, diagram the movement of the requested variables between time to and time t1.
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Let's assume that in a South American country, the nominal GDP went down by 3%, while, the price level went down by 4%. What is the real GDP growth rate during this period in percentages?
Nominal GDP (NGDP) Real GDP (RGDP) Estimated Resident Population by Age and Sex (1991+) (Annual-Mar) 3,970,000 4,044,900 4,101,300 4,148,000| 4,196,700 4,235,300 4,271,000 4,317,900 4,362,800 4,392,500 4,417,700 Data 2003 135,181 3,970,000 2004 144,502 4,044,900 2005 154,559 4,101,300 2006 162,937 172,004 4,148,000 2007 4,196,700 2008 186,673 4,235,300 2009 189,406 4,271,000 2010 194,306 4,317,900 Pad 2011 203,342 Page 4,362,800 4,392,500 4,417,700 2012 213,025 2013 217,489
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Assume that a country's per-worker production is y = k1/2, where y is output per worker and kis capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 andthere is no population growth or technological change.a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, andconsumption per worker in the steady state?b. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.6.c. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.8.d. Is it possible to save too much? Why?
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Question 1:In Ghana, the capital share of GDP is about 40 percent, the average growth in output is about2 percent per year, the depreciation rate is about 3 percent per year, and the capital–output ratiois about 1.5. Suppose that the production function is Cobb–Douglas and that Ghana has beenin a steady state.a. What must the saving rate be in the initial steady state? [Hint: Use the steady-staterelationship, sy = (δ + n + g)k.]b. What is the marginal product of capital in the initial steady state?c. Suppose that public policy alters the saving rate so that the economy reaches the GoldenRule level of capital. What will the marginal product of capital be at the Golden Rule steadystate? Compare the marginal product at the Golden Rule steady state to the marginal productin the initial steady state. Explain.d. What will the capital–output ratio be at the Golden Rule steady state? (Hint: For the Cobb–Douglas production function, the capital–output ratio is related to the marginal product…