The Interrupted Power Law and the Size of Shadow Banking
Publication Date
April 11, 2014
Journal
PLOS ONE
Authors
Davide Fiaschi, Imre Kondor, Matteo Marsili & Valerio Volpati
Volume
9
Issue
4
Pages
e94237
DOI
https://dx.plos.org/10.1371/journal.pone.0094237
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0094237
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/24728096
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984121
Europe PMC
http://europepmc.org/abstract/MED/24728096
Web of Science
000336736200050
Scopus
84899626314
Mendeley
http://www.mendeley.com/research/interrupted-power-law-size-shadow-banking
Events
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Mendeley | Further Information

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Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/1461259"], "description"=>"<p>The reported confidence bands for our estimate of SB are calculated on the basis of standard errors in the estimate of the coefficients of the power law distributions.</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "sb", "fsb"], "article_id"=>996429, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.g004", "stats"=>{"downloads"=>1, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_between_our_index_of_SB_with_the_estimate_of_the_size_of_SB_made_by_FSB_19_for_the_period_2003_2012_/996429", "title"=>"Comparison between our index of SB, , with the estimate of the size of SB made by FSB [19] for the period 2003–2012.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461258"], "description"=>"<p>The straight line is obtained as a linear fit in an intermediate range of vs (see <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0094237#pone-0094237-t001\" target=\"_blank\">Table 1</a>).</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "sizes", "firms", "2012", "2013", "fg2000"], "article_id"=>996428, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.g003", "stats"=>{"downloads"=>1, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Cumulative_distribution_of_asset_sizes_for_financial_left_panel_and_all_right_panel_firms_in_2003_2006_and_2012_2004_2006_and_2013_of_FG2000_lists_/996428", "title"=>"Cumulative distribution of asset sizes for financial (left panel) and all (right panel) firms in 2003, 2006, and 2012 (2004, 2006, and 2013 of FG2000 lists).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461255"], "description"=>"<p>Financial firms are shown in blue, while the other firms in red. The straight line corresponds to Zipf's law and is drawn for comparison.</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "2004", "2007", "2013", "fg2000"], "article_id"=>996425, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.g001", "stats"=>{"downloads"=>2, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Rank_plot_of_the_2004_list_2007_list_and_2013_list_of_FG2000_by_asset_size_/996425", "title"=>"Rank plot of the 2004 list (), 2007 list () and 2013 list () of FG2000 by asset size.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461261"], "description"=>"<p> and are calculated by yearly variations of the firms' asset size between consecutive years, except for 2005 we use data of 2003, instead of 2004 which is missing. Using these values, is computed from the estimate of the Pareto index , inverting <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0094237#pone.0094237.e072\" target=\"_blank\">Eq. (3)</a>. The reported value of is the one that minimizes the distance between the observed and the simulated firm size distributions. Specifically, i) we compute with being the -th largest firm in the simulation, the -th largest firm in the FG2000 list and is the average over 100 simulations. ii) We find that minimizes the mean square deviation , with .</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "modified", "prg", "sb", "fg2000"], "article_id"=>996431, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.t002", "stats"=>{"downloads"=>2, "page_views"=>14, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Estimates_of_the_parameters_of_the_modified_PRG_model_of_the_SB_system_for_the_period_2005_8211_2012_based_on_the_FG2000_list_of_firms_/996431", "title"=>"Estimates of the parameters of the modified PRG model of the SB system for the period 2005–2012 based on the FG2000 list of firms.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461262"], "description"=>"<p>Standard errors of the estimated Pareto exponents are reported in brackets.</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "assets", "pareto", "exponents", "firms", "fg2000", "lists", "2004", "2013", "2005"], "article_id"=>996432, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.t001", "stats"=>{"downloads"=>1, "page_views"=>16, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_range_of_assets_in_billion_where_the_power_law_behavior_is_estimated_for_the_whole_sample_and_the_estimated_Pareto_exponents_both_for_the_whole_sample_and_limited_to_the_financial_firms_in_the_FG2000_lists_from_2004_to_2013_data_for_2005_are_not_avai/996432", "title"=>"The range of assets (in billion $) where the power law behavior is estimated (for the whole sample), and the estimated Pareto exponents both for the whole sample and limited to the financial firms in the FG2000 lists from 2004 to 2013 (data for 2005 are not available).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461260"], "description"=>"<p>Inset: the estimate of in the period 2005–2012.</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "observed", "simulated", "distributions"], "article_id"=>996430, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.g005", "stats"=>{"downloads"=>0, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_between_the_observed_cross_and_the_simulated_bold_line_distributions_for_2012_/996430", "title"=>"Comparison between the observed (cross) and the simulated (bold line) distributions for 2012.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-11 03:05:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/1461257"], "description"=>"<p>Right panel: estimate of the stochastic kernel (i.e. of the conditional probability distribution), and of the expected level of assets in 2012 conditioned on the level of assets in 2011 (light grey lines and bold blue line respectively). Both plots refer to financial firms in the 2012 and 2013 FG2000 lists.</p>", "links"=>[], "tags"=>["mathematics", "Probability theory", "Statistical distributions", "Mathematical economics", "physics", "Interdisciplinary physics", "Economics", "finance", "Public finance", "Money supply and banking", "industrial organization", "Structure of markets", "non-parametric", "rates", "assets", "dotted", "lines"], "article_id"=>996427, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Davide Fiaschi", "Imre Kondor", "Matteo Marsili", "Valerio Volpati"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0094237.g002", "stats"=>{"downloads"=>1, "page_views"=>18, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Left_panel_non_parametric_estimate_of_the_relationship_between_the_rates_of_return_on_assets_and_the_levels_of_assets_bold_line_dotted_lines_refer_to_confidence_interval_/996427", "title"=>"Left panel: non-parametric estimate of the relationship between the rates of return on assets and the levels of assets (bold line, dotted lines refer to confidence interval).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-11 03:05:58"}

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Relative Metric

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