Dacorogna, Michel M and Busse, Marc (2016): The Price of Being a Systemically Important Financial Institution (SIFI).
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Abstract
After reviewing the notion of Systemically Important Financial Institution (SIFI), we propose a first principles way to compute the price of the implicit put option that the State gives to such an institution. Our method is based on important results from Extreme Value Theory (EVT), one for the aggregation of heavy tailed distributions and the other one for the tail behavior of the Value-at-Risk (VaR) versus the Tail-Value-at-Risk (TVaR).
We show how to value in practice is proportional to the VaR of the institution and thus would provide the wrong incentive to the banks even if not explicitly granted. We conclude with a proposal to make the institution pay the price of this option to a fund, whose task would be to guarantee the orderly bankruptcy of such an institution. This fund would function like an insurance selling a cover to clients.
Item Type: | MPRA Paper |
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Original Title: | The Price of Being a Systemically Important Financial Institution (SIFI) |
Language: | English |
Keywords: | Systemic Risk; "Too Big to Fail"; Risk Measure; Value-at-Risk and Tail Value-at- Risk; Option Price; Risk Neutral Distribution; Heavy tail; Pareto; Insurance |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C10 - General E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E58 - Central Banks and Their Policies E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E61 - Policy Objectives ; Policy Designs and Consistency ; Policy Coordination |
Item ID: | 75787 |
Depositing User: | Dr Michel M Dacorogna |
Date Deposited: | 25 Dec 2016 13:07 |
Last Modified: | 26 Sep 2019 22:37 |
References: | [1] F. Corsi, S. Marmi, F. Lillo (2016), When Micro Prudence Increases Macro Risk: The Destabilizing Effects of Financial Innovation, Leverage, and Diversification, Operations Research, Article in Advances. Available on: http://dx.doi.org/10.1287/opre.2015.1464. [2] W. Feller, 1971, An Introduction to Probability Theory and Its Applications, Wiley Series in Probability and Mathematical Statistics, Vol. 2, 2nd ed., John Wiley & Sons, New York. [3] Financial Stability Board (2009), Guidance to Assess the Systemic Importance of Financial Institutions,Markets and Instruments: Initial Considerations, Report to G20 Finance Ministers and Governors. Available on: https://www.imf.org/external/np/g20/pdf/100109a.pdf. [4] Financial Stability Board (2014), How big is the implicit subsidy for banks considered too important to fail, Global Financial Stability Report 2014, chap. 3, 101-132. [5] R. C. Merton, M. Billio, M. Getmansky, D. Gray, A. W. Lo, L. Pelizzon (2013), On a new approach for analyzing and managing macro-financial risks, Financial Analysts Journal, vol. 69(2), 22-33. [6] U. A. Müller, M. M. Dacorogna and O. V. Pictet, 1998, Heavy tails in high-frequency financial data, published in the book "A practical guide to heavy tails: Statistical Techniques for Analysing Heavy Tailed Distributions", edited by Murad Taqqu and published by Birkhauser,. [7] U. A. Müller, M. M. Dacorogna, O. V. Pictet, C. G. de Vries, 2001, The Distribution of Extremal Foreign Exchange Rate Returns in Extremely Large Data Sets, Extremes, vol. 4, 105-127. [8] D. Richard and B. Tracey (2014), Too Big to Be Efficient? The Impact of Implicit Subsidies on Estimates of Scale Economies for Banks, Journal of Money, Credit and Banking, 46, 219-253. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/75787 |