Question 1

Suppose an economy is initially in a steady state with capital per worker exceeding the Golden Rule level. If the saving rate falls to a rate consistent with the Golden Rule, then in the transition to the new steady state consumption per worker will:

Accepted Answer

When the saving rate falls to a rate consistent with the Golden Rule, the economy will experience a transition towards a new steady state. During this transition period, consumption per worker will first fall below the initial level, as the economy invests more and saves less, leading to lower output and consumption. However, as the economy reaches the new steady state, consumption per worker will eventually rise back above the initial level, due to the higher level of capital per worker and increased productivity. Thus, option B is the correct answer.

Question 2

When an economy begins above the Golden Rule, reaching the Golden Rule:

Accepted Answer

The answer of When an economy begins above the Golden...

Question 3

In the Solow growth model, increases in capital output and the amount of output used to replace depreciating capital.

Accepted Answer

According to the Solow growth model, increases in capital result in an increase in output, while the amount of output used to replace depreciating capital also increases. This is known as the "break-even" rate of investment. Therefore, both capital output and the amount of output used to replace depreciating capital increase.

Question 4

In an economy with no population growth and no technological change, steady-state consumption is at its greatest possible level when the marginal product of:

Accepted Answer

In an economy with no population growth and no technological change, steady-state consumption is at its greatest possible level when the marginal product of capital equals the depreciation rate. This condition ensures that the amount of capital in the economy is optimal, balancing the benefits of additional capital in terms of increased production against the costs of maintaining or replacing depreciating capital.

Question 5

Examination of recent data for many countries shows that countries with high saving rates generally have high levels of output per person because:

Accepted Answer

High saving rates lead to high levels of capital per worker, which in turn leads to high levels of output per person. Countries with more capital can produce more goods and services, leading to higher output per person. A high saving rate alone does not necessarily lead to permanently higher growth rates of output. The presence of natural resources does not guarantee high output levels or high saving rates. The level of output per worker may influence a country's ability to save, but the causal relationship is from high saving rates to high output per person.

Question 6

To determine whether an economy is operating at its Golden Rule level of capital stock, a policymaker must determine the steady-state saving rate that produces the:

Accepted Answer

The steady-state level of capital stock that leads to the largest output per worker is the Golden Rule level of capital stock. This is because at the Golden Rule level of capital stock, the marginal product of capital (MPK) is equal to the rate of depreciation, leading to the highest level of output per worker. Therefore, the policymaker must determine the steady-state saving rate that leads to this level of capital stock.

Question 7

If an economy is in a steady state with a saving rate below the Golden Rule level, efforts to increase the saving rate result in:

Accepted Answer

When saving rate is below the Golden Rule level, an increase in saving rate will lead to an increase in per-capita output but also higher per-capita depreciation. This is because with a higher saving rate, there is more investment and capital accumulation, which leads to higher output. However, because more capital is being used, the depreciation of the capital stock also increases. The increase in per-capita output is greater than the increase in per-capita depreciation, leading to a net gain in economic welfare. Therefore, choice (A) is the best answer.

Question 8

(Exhibit: Steady-State Consumption II)  Reference: Ref 7-4  (Exhibit: Steady-State Consumption II) The Golden Rule level of steady-state investment per worker is:

Accepted Answer

The answer of (Exhibit: Steady-State Consumption II)  Reference: Ref...

Question 9

The Golden Rule level of capital accumulation is the steady state with the highest level of:

Accepted Answer

The answer of The Golden Rule level of capital accumulation...

Question 10

In the Solow growth model, with a given production function, depreciation rate, no technological change, and no population growth, a higher saving rate produces a:

Accepted Answer

The answer of In the Solow growth model, with a...

Question 11

A reduction in the saving rate starting from a steady state with more capital than the Golden Rule causes investment to in the transition to the new steady state.

Accepted Answer

In the steady state with more capital than the Golden Rule, the saving rate is already high, leading to more investment than needed to reach the Golden Rule. Reducing the saving rate will cause a decrease in investment in the transition to the new steady state.

Question 12

If an economy with no population growth or technological change has a steady-state MPK of 0.1, a depreciation rate of 0.1, and a saving rate of 0.2, then the steady-state capital stock:

Accepted Answer

In a steady state, capital accumulation (investment) equals capital depreciation. In this case, investment is 0.2 (saving rate) multiplied by the level of capital stock. Thus, I = 0.2K. Depreciation is 0.1 (depreciation rate) multiplied by the level of capital stock. Thus, D = 0.1K. At steady state, I = D, or 0.2K = 0.1K, which means K = 0.2K - 0.1K = 0.1K. This gives us a capital-output ratio of K/Y = 0.1. Since the MPK is also 0.1, the economy is at the Golden Rule level of capital stock, where investment and consumption are balanced to maximize consumption. Therefore, the answer is C.

Question 13

If an economy is in a steady state with no population growth or technological change and the capital stock is above the Golden Rule level and the saving rate falls:

Accepted Answer

The answer of If an economy is in a steady...

Question 14

The formula for steady-state consumption per worker (c*) as a function of output per worker and investment per worker is:

Accepted Answer

The steady-state consumption per worker can be found by subtracting the depreciation of capital per worker from the output per worker (which represents total income per worker) and dividing it by the population size. Mathematically, c* = (f(k*) - δk*)/L. Choice A is the only option that matches this formula, making it the best choice.

Question 15

Assume two economies are identical in every way except that one has a higher saving rate. According to the Solow growth model, in the steady state the country with the higher saving rate will have level of total output and rate of growth of output per worker as/than the country with the lower saving rate.

Accepted Answer

The answer of Assume two economies are identical in every...

Question 16

With a per-worker production function y = k1/2, the steady-state capital stock per worker (k*) as a function of the saving rate (s) is given by:

Accepted Answer

For the steady-state capital stock per worker (k*), we have: 
s = sy - δk* 
where s is the saving rate, sy is the investment per worker, and δ is the depreciation rate. 
From the production function y = k1/2, we have 
sy = δk1/2 
Then, we can substitute sy into the first equation: 
s = δk1/2 - δk* 
Rearranging and solving for k*, we get: 
k* = (s/δ)2

Question 17

The Golden Rule level of the steady-state capital stock:

Accepted Answer

The Golden Rule level of the steady-state capital stock implies a choice of a particular saving rate. This is the rate at which capital stock is maximized, leading to the highest level of long-term consumption. It is not automatically reached by a constant saving rate or individual retirement savings plans. An enlightened government would not avoid it, but rather strive to implement policies that encourage saving at the optimal rate to reach it.

Question 18

If an economy is in a steady state with no population growth or technological change and the marginal product of capital is less than the depreciation rate:

Accepted Answer

If the marginal product of capital is less than the depreciation rate, the economy is not at the Golden Rule level of consumption per worker. In this case, steady-state consumption per worker would be higher in a steady state with a lower saving rate. This is because a lower saving rate means that fewer resources are devoted to capital accumulation, which leads to a lower level of steady-state capital and hence a higher level of steady-state consumption per worker. Option A is incorrect because the economy is not at the Golden Rule level of consumption per worker. Option C is incorrect because higher saving leads to greater capital accumulation, which can improve the steady-state consumption per worker. Option D is incorrect because reducing the depreciation rate would increase the effective rate of return on capital, which would lead to more capital accumulation and potentially an even lower steady-state consumption per worker.

Question 19

If an economy with no population growth or technological change has a steady-state MPK of 0.125, a depreciation rate of 0.1, and a saving rate of 0.225, then the steady-state capital stock:

Accepted Answer

In a steady-state economy with no population growth or technological change, the Golden Rule level of capital is achieved when the marginal product of capital (MPK) equals the depreciation rate. Since the steady-state MPK of 0.125 matches the depreciation rate of 0.1, this indicates the economy is at the Golden Rule level of capital, where net investment is zero, and the economy is in a state of optimal efficiency.

Question 20

(Exhibit: Steady-State Consumption II)  Reference: Ref 7-4  (Exhibit: Steady-State Consumption II) The Golden Rule level of steady-state consumption per worker is:

Accepted Answer

According to the exhibit, the Golden Rule level of steady-state consumption per worker is at point B, where the slope of the production function is equal to the depreciation rate. This level of consumption ensures that the economy maintains a balanced level of investment and consumption over time, maximizing long-term economic growth. Therefore, option B is the correct answer.

Quiz 7: Economic Growth I: Capital Accumulation and Population Growth