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OPTIMAL REGULATION OF BANK CAPITAL AND LIQUIDITY Course on Financial Instability at the Estonian Central Bank, 9-11 December 2009 – Lecture 8 E Philip Davis NIESR and Brunel University West London [email protected] www.ephilipdavis.com groups.yahoo.com/group/financial_stability Abstract • Raising capital adequacy standards and introducing binding liquidity requirements can have beneficial effects if they reduce the probability of a costly financial crisis, but may also reduce GDP by raising borrowing costs for households and companies. • We estimate both benefits and costs of raising capital and liquidity, with the benefits being in terms of reduction in the probability of banking crises, while the costs are defined in terms of the economic impact of higher spreads for bank customers. • Result shows a positive net benefit from substantial regulatory tightening, depending on underlying assumptions. Structure 1. 2. 3. 4. 5. 6. 7. Introduction Literature survey Could we predict the crisis? Impact of the crisis Modelling the banking sector Costs and benefits of tighter regulation Conclusion 1 Introduction • NIESR research for FSA - background is recent crisis and discussion of regulatory changes at global level – authors Ray Barrell, E Philip Davis, Tatiana Fic, Dawn Holland, Simon Kirby and Iana Liadze • Review literature on bank behaviour relative to regulation of capital and liquidity • Then assess whether a link of capital and liquidity to crisis probabilities can be traced • Consider long run cost of crises (scarring) • Model behaviour of banks, impact on economy • Consider over what range there are positive net benefits to regulatory tightening 2 Literature survey • Much theoretical work abstracts from regulation • Most relevant is on bank capital buffers… • …and UK empirical work showing regulation (trigger ratios) is main determinant of capital held – and also impacts loan supply • Overall procyclicality of capital and balance sheet, and impact of introduction of Basel in early 1990s (credit crunch) • Cross country work showing impact of capitalisation on margins • Controversy regarding relevance of MM • Developing literature on crisis probabilities trigger ratio risk weighted capital ratio Dec-07 Dec-06 Dec-05 Dec-04 Dec-03 Dec-02 Dec-01 Dec-00 Dec-99 Dec-98 Dec-97 Dec-96 Dec-95 Dec-94 Dec-93 Dec-92 Dec-91 Dec-90 Dec-89 Percent of total assets UK bank capital adequacy 14.00 13.00 12.00 11.00 10.00 9.00 8.00 7.00 6.00 3 Predicting crises • Most work on predicting crises, such as Demirguc Kunt and Detragiache (1998) uses logit and estimates across global sample of crises (mainly in emerging market economies) • Typically crises found to be correlated with macroeconomic, banking sector and institutional indicators: – Low GDP growth, high interest rates, high inflation, fiscal deficits. – Ratio of broad money to Foreign Exchange reserves, credit to the private sector/GDP ratio, lagged credit growth – Low GDP per capita and deposit insurance. Could they predict the crisis? • Traditional crisis prediction models did not pick up the risks that were developing (Davis and Karim 2008) – – – – The build up of debt was worrying The house price bubble was a concern The regulatory architecture was flawed The dangers of securitisation were not seen • None of these were under the control of the monetary authorities • A crisis means credit rationing (Barrell et al 2006 Journal of Financial Stability) Explaining Crises Probabilities of a crisis After 1 After 2 After 3 Initial percentage percentage percentage probability point increase point increase point increase of the cirsis in LIQ and in LIQ and in LIQ and in 2007 LEV LEV LEV FR GE IT SP UK US 0.066 0.007 0.035 0.056 0.217 0.006 0.043 0.005 0.023 0.024 0.150 0.004 0.028 0.003 0.014 0.023 0.101 0.003 0.018 0.002 0.009 0.015 0.067 0.002 Variables are tak en with lag length (based on the model) p(crisis) log = - 0.333 LEV(-1) – 0.118 LIQ(-1) + 0.113 RHPG(-3) 1 - p(crisis) (-2.85) (-3.55) (2.8) (3) Comments on results • We use unadjusted capital adequacy due to data limitations over 1980-2006 sample • Changes in capital alone twice as effective as liquidity according to estimate • Results show substantial reduction in crisis probabilities from regulatory tightening in Europe using OECD logit • Weaker effect in US, which we consider relates to omission of off balance sheet activity – work under way to rectify this 4 Impact of the crisis • Seek to assess effect of current crisis on UK economy, as a benchmark for benefits of regulation • Key background is approach of Hoggarth and Sapporta (2001) who saw costs of crisis as integral of output lost below previous trend • Highlight that initial recession is only part of costs given the possible long run effect on capital stock (scarring) Assessing long run costs of crises Output depends on the supply side as described by the production function Qt = γ (δKt-ρ + (1-δ)( techl -ρ -1/ρ e t t) ) L The equilibrium capital output ratio depends on the user cost of capital Log (Kt /Qt) = a1 + σ L o g ( u s e r t) The user cost is driven by weighted average cost of capital, linked in turn to risk free long real rates (lrr) and by the borrowing margin charged by banks (corpw) or the bond market (iprem) to reflect costs and risks wacct = b1t(Et/Pt) +(1-b1t) (c1t (lrrt+corpwt) +(1- c1t) (lrrt+ipremt))*(1-ctaxrt) US Euro Area UK 05 June 2009 05 March 2009 05 December 2008 05 September 2008 05 June 2008 05 March 2008 05 December 2007 05 September 2007 05 June 2007 05 March 2007 05 December 2006 05 September 2006 05 June 2006 05 March 2006 05 December 2005 05 September 2005 05 June 2005 05 March 2005 05 December 2004 05 September 2004 05 June 2004 05 March 2004 05 December 2003 05 September 2003 05 June 2003 05 March 2003 05 December 2002 05 September 2002 05 June 2002 05 March 2002 05 December 2001 05 September 2001 05 June 2001 05 March 2001 05 December 2000 05 September 2000 05 June 2000 05 March 2000 Risk premia on corporate borrowing rose in 2007-9 Spread between BAA corporate and government bonds 10 9 8 7 6 5 4 3 2 1 0 Trend UK output and the scar • Trend output has stepped down 12.9 12.8 July 2008 forecast 12.7 12.6 12.5 95, 90 and 80% confidence bounds around April forecast 2018 2016 2014 2012 2010 2008 2006 2004 2002 12.4 2000 • There is only a 1 in 20 chance output will be at July 2008 projections in 2018 13 Output (log scale) – Risk premia rose in two stages before and after Lehman’s –this reduced trend 3-4% – Banking sector gains were illusary (1-2%) – In-migration will fall reducing trend by ¾% Output projections and scarring from the Crisis 5 Modelling the banking sector • Shown that regulation has benefits in reducing incidence and costs of crises • May also have a negative impact on output in both the short and the long run by increasing borrowing costs and raising user cost of capital (an effective tax on banks has real effect, e.g. widens spreads) • So model effects of regulation on output by constructing banking sector model and embedding in NiGEM • Use the risk weighted capital adequacy, but correlation of 0.92 to unweighted NiGEM model • NiGEM covers the OECD economies – – – – Supply and demand spelled out Trade and capital account linkages Stock flow consistent Long run properties as a DSGE model • Financial and exchange markets forward looking, as is the wage bargain • Capital stock depends on user cost and on expected output 4 years ahead • Increasing spread between borrowing and lending rates for individuals changes their incomes, and decision making on the timing of consumption, with possibility of inducing sharp short term reductions (no long run effect). • Changing spread between borrowing and lending rates for firms may change user cost of capital and hence equilibrium level of output and capital in the economy in a sustained manner (short and long run effects). UK banking sector model • Banking activity modelled as a set of supply (or price) and demand curves. • Demand depends on levels of income or activity, and on relative prices, whilst supply, or price, depends upon the costs of providing assets and on the risks associated with those assets. • Banking sector has four assets – secured loans to individuals for mortgages, (morth) with a borrowing cost (rmorth), – unsecured loans to individuals for consumer credit (cc) with a higher borrowing cost or rate of return (ccrate), – loans to corporates (corpl) with a rate or return or cost of borrowing (lrr+corpw) where lrr is the risk free long rate and corpw is the mark up applied by banks – liquid assets (lar). – The categories subsume, along with deposits and risk weighted capital adequacy itself (levrr), all on-balance sheet activity within the UK. Key equations • Corporate spread related to capital adequacy and inverse of headroom to trigger ratio corpw = -0.196809 + 0.131227*(log(y)-log(ycap))*100 (-0.46) (4.69) + 0.841752*invhead(-1) + 0.522302*insolr + 0.194533*levrr (5.32) (5.72) (5.60) • Household spread related to capital adequacy lendw = lendw(-1) - 0.000128 - 0.446002*(lendw(-1) +0.024201 (-0.87) (-4.41) (5.83) - 0.063713*levrr(-3) (2.84) - 0.006035*arr(-4) + 0.003159*nwpi(-1)) (8.75) (-7.28) Model details • Each spread feeds into borrowing cost and then credit volume, with appropriate signs • No direct role for liquidity (effect is calibrated based on estimated results for US) • One to one relation of bank spread to bond spread (arbitrage) • Adjustment equations for balance sheet and capital Absolute change in corporate borrowing costs Tighter regulation and margins 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 2009Q1 2010Q1 2011Q1 2012Q1 2013Q1 2014Q1 One percentage point rise in capital Three percentage point rise in capital 2015Q1 2016Q1 2017Q1 2018Q1 Two percentage point rise in capital Note – changes to target capital only Tighter regulation and output 0.05 Percent change in GDP 0 2009Q1 2010Q1 2011Q1 2012Q1 2013Q1 2014Q1 2015Q1 2016Q1 2017Q1 2018Q1 -0.05 -0.1 -0.15 -0.2 -0.25 One percentage point rise in capital Three percentage point rise in capital Two percentage point rise in capital Note – equal changes to target and actual capital in this and following (6) Costs and benefits of tighter regulation • Compare the gains from tighter regulation to the costs of regulation – Gains are the change in the probability of a crisis times lost output in this crisis – Costs are regulatory impacts • Look at steady state impacts in 2018 Borrowing costs Impacts on borrowing costs of increases in regulatory constraints 1 2 5 10 Changes in Capital and liquidity Requirements Corporate borrowing costs (absolute change) One percentage Two Percentage Three percentage point increase point increase point increase 0.29 0.59 0.88 0.29 0.58 0.87 0.29 0.58 0.87 0.29 0.58 0.87 1 2 5 10 User cost of capital (percent change) 0.63 1.26 0.77 1.54 0.85 1.70 0.85 1.70 1.88 2.28 2.52 2.50 2.50 3.02 3.33 3.30 1 2 5 10 Changes in Liquidity Requirements Corporate borrowing costs (absolute change) 0.10 0.19 0.10 0.20 0.11 0.22 0.11 0.23 0.29 0.30 0.33 0.34 0.39 0.40 0.43 0.45 1 2 5 10 User cost of capital (percent change) 0.21 0.42 0.27 0.53 0.32 0.64 0.33 0.67 0.63 0.79 0.93 0.97 0.84 1.05 1.23 1.27 Year Four percentage point increase 1.17 1.17 1.16 1.16 Long run - regulation on output 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 0.1 0 percentage points of GDP -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 one two three four five six seven Cost benefit analysis - combined 0.08 net present value as a proportion of GDP 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 -0.01 -0.02 -0.03 1 2 3 4 5 6 Percentage points increase in capital adequacy and liquidity standards 7 7 Conclusions • Lax regulation raises the risk of a crisis • Raising capital adequacy standards and introducing binding liquidity requirements beneficial if they reduce probability of costly financial crisis • Also costs - any effective banking regulation works as a tax on bank activity. Hence regulations may reduce output through impacts on borrowing costs for households and companies • Find short run impact on consumption and short and long run impact on investment • Estimates of impacts on costs are upper bound as structure of portfolios and of relative prices may change if regulations significantly tighten • When capital adequacy standards tightened by 1 pcp, banks contract balance sheets by 1.2 per cent and reduce riskiness of portfolio, with their risk weighted assets falling by 1.6 per cent - results contrary to the Modigliani Miller theorem of irrelevance of the debt equity choice • Caution needed with rapid regulatory tightening owing to immediate impact on margins • Positive net benefit from regulatory tightening, with a 2 to 6 percentage point increase in capital and liquidity ratios increasing welfare, depending upon assumptions • Separate tightening of capital or liquidity ratios offers benefit up to 10 percentage points References • Barrell R, Davis E P, Fic T, Holland D, Kirby S, Liadze I (2009), "Optimal regulation of bank capital and liquidity: how to calibrate new international standards”, FSA Occasional Paper No 38