2.1 Calculation of Social Return
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Questions and Answers

What does the term '𝛼' represent in the equation 𝑔𝑦 = 𝛼𝑔𝑘 + (1 − 𝛼)𝑔𝐴?

  • The share of income attributed to capital (correct)
  • The growth rate of technological progress
  • The growth rate of capital deepening
  • The share of income attributed to labor

What is the approximate value of the constant '𝛽' in the equation 𝛽 = 1−𝛼?

  • 0.33
  • 2.00
  • 1.33
  • 0.67 (correct)

If technological progress is 'disembodied', meaning it is not directly linked to capital investment, how should we adjust the social benefit-cost ratio?

  • Multiply by one-third
  • Divide by two-thirds
  • Multiply by two-thirds (correct)
  • Divide by one-third

What is the key assumption underlying the 'capital-embodied productivity growth' concept?

<p>Innovative investments are primarily realized through new capital forms (B)</p> Signup and view all the answers

What is the average annual net domestic investment of the U.S. private sector since 1960?

<p>4.0% of GDP (A)</p> Signup and view all the answers

How does the 'capital-embodied productivity growth' concept change our understanding of the costs associated with innovative investments?

<p>It emphasizes the combined cost of R&amp;D and capital deepening (D)</p> Signup and view all the answers

How can we empirically estimate the additional costs associated with 'capital-embodied productivity growth'?

<p>By analyzing the share of capital investments in total GDP (A)</p> Signup and view all the answers

What is the key takeaway from the discussion about the returns to innovative investments?

<p>The returns to innovative investments are substantial, even after accounting for various cost factors (B)</p> Signup and view all the answers

What happens to the marginal returns of additional R&D as the effort becomes increasingly duplicative or ineffective?

<p>They diminish. (A)</p> Signup and view all the answers

What is the symbol used to represent the degree of intertemporal spillovers?

<p>𝜃 (A)</p> Signup and view all the answers

In models where the innovative search process becomes more costly as progress is made, what is the expected value of 𝜃 ?

<p>𝜃 &lt; 0 (B)</p> Signup and view all the answers

Which of these examples is mentioned in the text as a possible reason for 𝜃 > 0?

<p>The development of new tools like calculus and computers. (B)</p> Signup and view all the answers

What range of values for 𝜃 did Kremer (1993) suggest, based on his analysis of economic growth and population growth over the very long run?

<p>0.1 to 0.4 (C)</p> Signup and view all the answers

What are the two underlying notions embedded in the possibility of diminishing returns at the macro level?

<p>Limited additional innovative lines to pursue and limited innovative talent pool. (D)</p> Signup and view all the answers

What kind of evidence does the text cite to refute the notion of substantial 'idea constraints' in settings like firms and the NIH?

<p>Studies on the returns to increased R&amp;D by firms. (D)</p> Signup and view all the answers

What are two potential ways mentioned in the text to expand the innovative talent pool in the United States?

<p>Immigration channels and childhood policies. (A)</p> Signup and view all the answers

What is the median delay between R&D investment and product introduction found by Mansfield in 1971?

<p>3 years (B)</p> Signup and view all the answers

What percentage of firms reported a 1-2 year delay between R&D investment and product introduction according to Ravenscraft and Scherer (1982)?

<p>45% (D)</p> Signup and view all the answers

What does Argente et al. (2018) estimate for the delay between R&D and product introduction for Compustat firms?

<p>1 year (D)</p> Signup and view all the answers

How long do growth trends usually continue after R&D investment, based on Leonard's study of manufacturing industries?

<p>From the second year to the ninth year (D)</p> Signup and view all the answers

For new consumer products, when do sales typically hit their peak according to Argente et al. (2019)?

<p>One year after introduction (C)</p> Signup and view all the answers

What does the appropriate discount factor, represented as $𝑟̂$, account for?

<p>Income growth and future income (D)</p> Signup and view all the answers

How long does Adams (1990) suggest the lag is between academic research and productivity growth in the relevant industry?

<p>20 years (A)</p> Signup and view all the answers

What is the average delay between U.S. patent applications and their direct precursor science publications, according to Ahmadpoor and Jones (2017)?

<p>6 years (A)</p> Signup and view all the answers

What is the total cost of innovative investments as a percentage of GDP?

<p>6.7% (A)</p> Signup and view all the answers

How does the embodied version of capital deepening affect social returns to R&D?

<p>It reduces social returns compared to disembodied calculations. (A)</p> Signup and view all the answers

What annual growth rate has the U.S. population experienced on average since 1960?

<p>1.0% (A)</p> Signup and view all the answers

What is the average ratio of the U.S. capital stock to GDP since 1960?

<p>3.5 (A)</p> Signup and view all the answers

What percentage of GDP does the capital deepening cost suggest in total?

<p>6.3% (D)</p> Signup and view all the answers

What has been a contributing factor to understating the social returns in calculations?

<p>Not accounting for population growth. (D)</p> Signup and view all the answers

What factors could contribute to capital deepening costs beyond net domestic investment?

<p>Infrastructure and public investments. (A)</p> Signup and view all the answers

How are the costs of investment that increases capital per worker expressed in relation to per-capita income growth?

<p>Equivalent to the growth rate times the capital-output ratio. (B)</p> Signup and view all the answers

What assumption is made when taking 𝜎 = 0.23 regarding investment in innovation?

<p>A 100% increase in investment will increase innovative output by 17%. (B)</p> Signup and view all the answers

What is the estimated internal social rate of return per annum when the investment in innovation is analyzed?

<p>16% (A)</p> Signup and view all the answers

Which factors are considered when estimating social returns to innovations?

<p>Manifold externalities including imitation and business stealing. (B)</p> Signup and view all the answers

What is indicated about the average social returns to investments in innovation?

<p>They are consistently high, exceeding $4 per $1 spent. (A)</p> Signup and view all the answers

What does accounting for health benefits do to the estimates of social returns?

<p>It can increase social returns to over $20 per $1 spent. (B)</p> Signup and view all the answers

What can be inferred about the marginal returns of additional investment in innovation?

<p>They are high based on multiple examined perspectives. (C)</p> Signup and view all the answers

Which of the following is NOT listed as a factor in assessing social returns?

<p>Market restrictions. (C)</p> Signup and view all the answers

What does the content suggest about the role of formal R&D in productivity gains?

<p>It drives most of the productivity gains. (B)</p> Signup and view all the answers

What is a major challenge for venture capitalists in predicting the success of their investments?

<p>The inherent uncertainty surrounding the success of entrepreneurial ventures (D)</p> Signup and view all the answers

What is the connection between Einstein's theory of general relativity and the modern-day ride-sharing companies like Uber and Lyft?

<p>General relativity's application in GPS technology is essential for ride-sharing apps to track location and navigation. (B)</p> Signup and view all the answers

The text highlights the difficulty in assessing the marginal returns to innovation, particularly for basic research. Which of the following is NOT a reason for this difficulty?

<p>Private investors are reluctant to invest in projects with uncertain returns. (C)</p> Signup and view all the answers

What is the primary reason why the marginal returns to innovation are difficult to assess?

<p>The inherent uncertainty surrounding the outcome of innovation projects. (C)</p> Signup and view all the answers

What is the core concept emphasized by the original approach to endogenous growth theory?

<p>Technological progress is driven by increasing returns to scale in R&amp;D investments. (D)</p> Signup and view all the answers

The text mentions that 'the connections between basic research and its ultimate applications appear broad, deep, and hard to predict'. Which of the following examples BEST illustrates this point?

<p>The application of GPS technology, derived from Einstein's theory of general relativity, to ride-sharing services like Uber and Lyft. (A)</p> Signup and view all the answers

Which of the following is a reason why it is difficult to assess the marginal return of innovation projects?

<p>The difficulty in predicting the impact of technological advancements on the market. (A)</p> Signup and view all the answers

The text discusses the difficulty in assessing the marginal return to innovation, particularly for basic research. What is the key argument presented in the text?

<p>Basic research is inherently risky and unpredictable, making it difficult to estimate potential returns. (D)</p> Signup and view all the answers

Flashcards

R&D to Product Introduction Delay

The time lapse between the initial investment in research and development (R&D) and the introduction of a new product in the market.

Typical Delay in Product Introduction

Studies show that for most businesses, the typical delay between investing in R&D and releasing a product is around 3 to 6 years. This delay is relatively short, considering the complex process involved in research, development, and commercialization.

Delay to Market Peak

The time that elapses between a product's initial introduction and the point where it achieves peak sales and market penetration.

Delay to Market Peak in Mature Sectors

In mature consumer sectors, where markets are established and consumer preferences are well-defined, newer products tend to reach their peak sales point within a shorter time frame compared to industries in earlier stages.

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Discount Factor (r^)

The discount factor to account for both the regular discount rate and the growth rate of future income. It reflects the value of future income as it gets larger due to growth.

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Basic Research Impact on Productivity

The impact of basic research on productivity growth is indirect and takes a longer time, often taking around 20 years to become noticeable. Basic research often serves as a foundation for future research, which eventually leads to marketable innovations.

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Delay from Patent Application to Precursor Science

Using citation networks to analyze the connections between scientific publications and patents, research shows a general delay of about 6 years between when a patent application is filed and the relevant scientific publications that underpin its invention.

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Long-Term Impact of Remote Basic Research

Even remote basic research investments can eventually contribute to marketable innovations within a 20-year timeframe through a process of cumulative research and development. This long-term impact demonstrates the interconnectedness of scientific progress.

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Growth in Per-Capita Income

The growth rate of per-capita income is determined by the growth in capital per person (capital deepening) and the rate of technological progress.

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Capital Share of Income (𝛼)

The proportion of income earned by capital, empirically around one-third.

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Disembodied Technological Progress

Technological progress that is independent of capital investment, like improvements in software or algorithms.

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𝛽 = (1 - 𝛼) = 2/3

A correction factor applied to assess the returns to innovative investments, accounting for the fact that only a portion of the gains are captured through capital deepening.

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Capital-Embodied Productivity Growth

Technological progress embodied in new capital goods, like improvements in microprocessors integrated into computers.

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Costs of Capital-Embodied Productivity Growth

The combined cost of research and development (R&D) and investment in new capital goods required to realize the benefits of embodied technological progress.

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U.S. Private Sector Net Domestic Investment

The annual net domestic investment by the U.S. private sector, excluding R&D, reflecting capital deepening.

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Total Cost of Innovative Investments

The combined cost of research and development (R&D) and investment in new capital goods, representing a more accurate assessment of the costs associated with innovative investments.

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Beta (β)

The ratio of R&D investment to the total cost of innovative investments, indicating the relative importance of R&D in driving innovation.

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Capital deepening

The process of increasing capital per worker to boost productivity and economic growth.

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Embodied social returns to R&D

The return on investment in R&D after considering the costs associated with capital deepening.

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Disembodied innovation calculation

The returns on R&D calculated without accounting for the costs of capital deepening, potentially overestimating the benefits.

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Population growth and investment costs

The idea that investment costs are necessary for population growth, as each additional person requires capital to be productive.

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Capital deepening cost

The cost of capital deepening measured as the growth rate of per capita income multiplied by the capital-output ratio.

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Capital deepening outside private businesses

Capital deepening costs associated with public investments that may not be captured in private net investment data, such as infrastructure or education.

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Linear Growth Model

The rate of advancement increases proportionally to the amount of effort put into R&D.

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Uncertainty in Innovation

The unpredictable nature of innovation makes it difficult to estimate the potential return on investment for R&D projects, particularly in areas like basic research with uncertain outcomes.

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Marginal Returns to R&D

The return on investment for additional R&D projects may not be significantly different from the average return on existing projects, due to the inherent uncertainty and unpredictability of innovation.

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Endogenous Growth Models

Models used to study the relationship between innovation and economic growth.

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Linear Growth Model

A type of endogenous growth model where the rate of advancement increases linearly with the level of R&D effort.

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Unpredictability of Basic Research

Describes the difficulty in predicting the potential applications and benefits of basic research, as insights often lead to unexpected innovations and breakthroughs.

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Assessing Marginal Returns to Innovation

The process of identifying and evaluating the potential benefits of investing in R&D projects, particularly in the context of uncertain outcomes.

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Average Return

A general approach that focuses on the overall return on investment across a wide range of growth models.

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Diminishing Returns to R&D

The situation where additional R&D efforts yield progressively smaller improvements, as they become repetitive or less effective.

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Intertemporal Spillovers (𝜃)

The extent to which innovation in one period benefits future innovation.

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Fishing Out the Pond of Ideas

A situation where intertemporal spillovers are negative, meaning innovation in one period makes future innovation more challenging.

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Fruitful Inputs of Innovation

A situation where intertemporal spillovers are positive, meaning innovation in one period makes future innovation easier.

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Macro-Level Diminishing Returns

A model suggesting that the benefits of innovation decrease over time due to limitations on the number of ideas or skilled individuals.

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Micro-Evidence of High Marginal Returns

Studies showing that increasing R&D efforts by companies or research institutions lead to significant productivity gains, indicating a lack of idea constraints.

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Opportunities to Expand Innovative Talent

The possibility of expanding the skilled workforce for innovation through immigration or improved education.

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Constraints on Innovative Talent

Constraints that hinder the expansion of innovative talent, such as limited funding, access to resources, or social barriers.

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Social Returns to Effort

Despite diminishing returns to individual effort, the social benefits of additional effort in innovation can still be substantial because of positive externalities like knowledge spillovers and imitation.

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Capital-Embodied Technological Progress

Technological progress that is incorporated into new capital goods, such as advancements in microprocessors integrated into computers. These innovations result in new capital assets.

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Costs of Capital-Embodied Technological Progress

The cost of capital-embodied technological progress includes both the investment in research and development (R&D) and the cost of acquiring the new capital goods themselves.

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Social Returns to Innovation

A significant proportion of productivity gains in the economy are driven by R&D and new venture creation, leading to large potential social returns on these investments.

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Returns to Innovative Investments

The extent to which investments in innovation, including those related to capital embodiment, contribute to productivity growth and economic progress.

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Average Social Returns to Innovation

Even under conservative assumptions, the average social return to innovation investments is estimated to be substantial, often exceeding $4 for every $1 spent.

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Study Notes

A Calculation of the Social Returns to Innovation

  • This paper estimates the social returns to investments in innovation
  • The disparate spillovers associated with innovation make calculations difficult
  • The paper provides an economy-wide calculation that nets out the many spillover margins
  • The paper assesses the role of capital investment, diffusion delays, learning-by-doing, productivity mismeasurement, health outcomes, and international spillovers in assessing the average social returns
  • Estimates suggest social returns are very large
  • Innovation efforts produce social benefits that are multiples of the investment costs

Introduction

  • Standards of living in advanced economies have risen dramatically over the last two centuries
  • Innovative advances are thought to be critical drivers
  • Measuring social returns to scientific and technological advance has proven difficult
  • This paper introduces a new method for calculating the average social returns to innovation
  • This method integrates across the many types of spillovers
  • The paper considers how social returns vary according to features like diffusion delays, capital embodiment, learning-by-doing, productivity mismeasurement, health outcomes, and international spillovers
  • The robust finding is that the social returns to innovative investments appear large
  • The existing literature emphasizes the difference between private and social gain from new ideas

The Average Social Returns to R&D: A Baseline

  • This section introduces a baseline calculation of the average social returns to innovation investment
  • This method integrates across spillovers
  • It clarifies the basic logic for why social returns appear high
  • It provides a foundation for discussing and clarifying additional issues related to social returns

Extending the Baseline

  • The baseline calculation assumes that the payoff from R&D investments occurs immediately
  • However, there may be delays in receiving the fruits of R&D investments
  • A simple approach to potential delays assumes that R&D investments borne today increase productivity permanently starting D years in the future.
  • This leads to a straightforward correction to the present value calculation.
  • The case study approach attempts to measure social returns
  • It is difficult to measure the marginal returns

The Average Return vs. the Marginal Return

  • The analysis focuses on the average social return to innovation investments
  • Advantages include an aggregate-level analysis accounting for successes and failures, and including complex spillovers
  • It considers additional issues like capital embodiment, lagged effects, productivity measurement, health benefits, and international spillovers
  • The average social returns are found to be very large
  • The analysis investigates how the average social return relates to the marginal social return, considering both micro and macro perspectives

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Description

This quiz delves into the concepts of capital-embodied productivity growth and the equations critical to understanding economic returns on investment. Test your knowledge on key terms like '𝛼' and '𝛽', and explore the implications of disembodied technological progress. Prepare to challenge your understanding of innovative investments and their costs.

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