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</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</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</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</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</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.</p> Signup and view all the answers

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

    <p>𝜃</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</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.</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</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.</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.</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.</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</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%</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</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</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</p> Signup and view all the answers

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

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

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

    <p>6.7%</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.</p> Signup and view all the answers

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

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

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

    <p>6.3%</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.</p> Signup and view all the answers

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

    <p>Infrastructure and public investments.</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.</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%.</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%</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.</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.</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.</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.</p> Signup and view all the answers

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

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

    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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