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Chapter 17 Capital Adequacy Overview • This chapter discusses the functions of capital in modern FIs. • We learn that capital is not only a source of funds, but further protects an FI from insolvency. • We discuss the various measures of capital in FIs. • We also discuss the various measures of capital by accounting bodies and regulators, such as the Bank for International Settlements. • We explore how regulators measure capital adequacy in FIs. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-2 Introduction to Capital Adequacy • The major functions of capital are: – To absorb unanticipated losses. – To protect uninsured depositors, bondholders and creditors in case of insolvency and liquidation. – To protect FI insurance funds and the taxpayer. – To protect the FI owners against increases in insurance premiums and lowering the cost of funds. – To partially fund the FI’s investment activities. • Sufficient capital levels inspire confidence in the FI. • Sufficient capital levels enable the FI to continue as a going concern even in difficult times. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-3 The Cost of Equity Capital as a Funding Source • The value of an FI’s share reflects the current and expected future dividends to be paid by the FI from its earnings. D1 D2 D P0 ... 2 (1 k ) (1 k ) ( 1 k ) Where: P0 = current price of share, Di = dividends expected in year i = 1 …∞, k = discount rate (required return on the share). Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-4 The Cost of Equity Capital as a Funding Source • If dividends are growing at a constant rate g, we find that: D0 ( 1 g ) P0 (k g ) • Dividing both sides of the equation by current earnings per share (E): D0 (1 g ) P0 E0 E0 (k g ) Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-5 The Cost of Equity Capital as a Funding Source • Thus: – P/E is greater, the higher D/E, – P/E is greater, the higher g, – P/E is higher, the lower k. • The P/E of an FI influences the attractiveness of issuing additional equity. • The higher the P/E, the more investors are willing to pay for a dollar of earnings. • The higher the P/E, the cheaper for an FI to issue equity. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-6 Capital and Insolvency Risk Defining ‘capital’: • Net worth: market value of assets minus market value of liabilities. • Book value: asset and liability values based on historical cost • Economists prefer the market value definition, while most regulators prefer the book value definition. • The book value method can be misleading. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-7 Capital and Insolvency Risk The Market Value of Capital: • The marking-to-market method allows balance sheet values to reflect current rather than historic prices. • Consider the following market value balance sheet of an FI. Assets ($m) Liabilities ($m) Securities 70 Loans 30 Deposits 95 Net worth 5 TA = 100 TL + E = 100 • In this example the FI is solvent on a market value basis. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-8 Capital and Insolvency Risk The Market Value of Capital and Credit Risk: • Consider a fall in the market value of loans to $27. Assets ($m) Securities Loans TA = 97 Liabilities ($m) 70 Deposits 27 Net worth 95 2 TL + E = 97 • While the FI is still solvent, its net worth has declined from $5 to $2. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-9 Capital and Insolvency Risk The Market Value of Capital and Credit Risk: • Consider a further fall in the market value of loans of $5. Assets ($m) Securities Loans TA = 92 Liabilities ($m) 70 Deposits 22 Net worth 95 -3 TL + E = 92 • The FI is insolvent. • After insolvency and the liquidation of the remaining $92 in assets, depositors would get only 92/95 in the dollar (96.84%). Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-10 Capital and Insolvency Risk The Market Value of Capital and Interest Rate Risk: • Losses in asset values due to adverse interest rate changes are borne first by equity holders. • If losses exceed the value of equity, liability holders will be affected. • Sufficient capital levels will protect liability holders from losses. • Since new accounting rules introduced in Australia (1995): – Fair market value of most assets and liabilities has to be disclosed. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-11 Capital and Insolvency Risk The Book Value of Capital: • Components of the book value of capital for FIs: – – – – Par value of shares, Surplus value of shares, Retained earnings, Loan loss reserve. • In Australia, accounting convention of par value has been replaced by the representation of book value of equity as price paid on shares when originally offered. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-12 Capital and Insolvency Risk The Book Value of Capital and Credit Risk: • Tendency to defer write-downs. The Book Value of Capital and Interest Rate Risk: • Effects not recognised in book value accounting method. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-13 Capital and Insolvency Risk The Discrepancy between the Market and Book Values of Equity: • Factors underlying discrepancies: – Interest rate volatility, – Examination and enforcement. • MV of equity per share: MV of equity ownership shares outstanding / numbers of shares. • BV of equity per share: (Par value of equity + surplus value + retained earnings + loan reserves) / number of shares. • Market to book ratio: MV / BV. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-14 Capital and Insolvency Risk Arguments Against Market Value Accounting: • Difficult to implement, • Introduces unnecessary variability into an FI’s earnings, • FIs are less willing to take longer-term asset exposures. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-15 Capital Adequacy: Australia’s Authorised Depository Institutions • Risk-based capital ratio introduced in Australia in 1989. • Capital ratio divided into: – Tier 1 capital risk-based ratio, – Total capital risk-based ratio. • Total capital risk-based ratio consists of: – Tier 1, plus – Tier 2 capital. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-16 Capital Adequacy: Australia’s Authorised Depository Institutions The Capital–Assets Ratio (L): • Measures the ratio of an FI’s core capital to its assets. • Leverage ratio. • L = Core capital / assets • Problems: – Market value, – Asset risk, – Off-balance-sheet activities. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-17 Capital Adequacy: Australia’s Authorised Depository Institutions Risk-Based Capital Ratios: • Proposed by the Bank for International Settlements (BIS): www.bis.org • Full implementation in January 1993. • Arrangement known as Basel Agreement (Basel I). • Initially, capital requirements against credit risk exposures only. • Since 1989: additional capital requirements for market risk exposures. • 2001: publication of Basel II. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-18 Capital Adequacy: Australia’s Authorised Depository Institutions Risk-Based Capital Ratios: • Basel II requirement: additional capital against operational risk exposures. • Basel II consists of three mutually reinforcing pillars: – Pillar I: regulatory capital requirements, – Pillar 2: supervisory review process. – Pillar 3: market discipline. • In Australia, Basel I currently enforced by APRA. • Basel II yet to be implemented. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-19 Capital Adequacy: Australia’s Authorised Depository Institutions Risk-Based Capital Ratios: • Total capital = Tier 1 + Tier 2 capital – deductions. • Tier 1 = core capital. • Tier 2 = supplementary capital. • Tier 1 capital must equal or exceed 4% of riskweighted assets. • Tier 2 capital is limited to 100% of Tier 1 capital. • Total capital must equal or exceed 8% of riskweighted assets. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-20 Capital Adequacy: Australia’s Authorised Depository Institutions Risk-Based Capital Ratios: • Credit-risk adjusted assets: on- and off-balance-sheet assets whose values are adjusted for approximate credit risk. • Total risk-based capital ratio = Total capital / credit risk adjusted assets ≥ 8%. • Tier 1 (core) capital ratio = Core capital / credit risk adjusted assets ≥ 4%. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-21 Capital Adequacy: Australia’s Authorised Depository Institutions Calculating Risk-Based Capital Ratios – Basel I: • Assets subdivided into four categories dependent on counterparty default risk: – 0% risk-weight, such as notes and coins, – 20% risk-weight, such as claims on international banking organisations, – 50% risk-weight, such as loans fully secured by mortgage against eligible residential mortgages, – 100% risk-weight, such as claims on commercial companies. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-22 Capital Adequacy: Australia’s Authorised Depository Institutions Calculating Risk-Based Capital Ratios – Basel I: n w a i 1 i i Where: wi = risk-weight of ith asset, where i = 1 to n, ai = dollar (book) value of the ith asset on the balance sheet. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-23 Capital Adequacy: Australia’s Authorised Depository Institutions Calculating Risk-Based Capital Ratios – Basel I: Example: • Suppose an FI holds the following assets: – Notes and coins: $10 million – Loans to Australian banks: $20 million, – Loans fully secured by mortgages: $70 million, – Commercial loans: $100 million. • Total assets: $200 million. • Risk-adjusted assets = 0%×10 + 20%×20 + 50%×70 + 100%×100 = $139 million. • The FI needs to hold at a minimum $139 million × 8% = $11.12 million in capital. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-24 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted On-Balance-Sheet Assets under Basel II: • Major criticisms of Basel I: risk-weights dependent on broad categories of borrowers. • Basel II widens differentiation of credit risks: refined to incorporate external credit rating agency assessments. • Risk-weight classes: 0%, 20%, 50%, 100%, 150%. • Risk weights dependent on: – Counterparty, – Credit rating of counterparty. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-25 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted On-Balance-Sheet Assets under Basel II: • Risk weightings for residential mortgage loans determined by relative risk. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-26 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted On-Balance-Sheet Assets under Basel II: Example: • Suppose an FI holds the following assets: – Notes and coins: $10 million, – Loans to international banks with a credit rating of BBB: $20 million, – Residential mortgage loans (LVR = 80%, no mortgage insurance): $70 million, – Loans to international corporates with a credit rating of AA: $50 million, – Loans to corporates with a credit rating of B: $50 million. • Total assets: $200 million. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-27 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted On-Balance-Sheet Assets under Basel II: Example (continued): • Risk-adjusted assets = 0%×10 + 50%×20 + 35%×70 + 20%×50 + 150%×50 = $119.5 million. • The FI needs to hold at a minimum: $119.5 million × 8% = $9.56 million in capital. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-28 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted Off-Balance-Sheet Assets Under Basel I and II: • Conversion factors used to convert into credit equivalent amounts – amounts equivalent to an on-balance-sheet item. • Conversion factors used depend on the guarantee type. • Two-step process: – Derive credit equivalent amounts as product of face value and conversion factor. – Multiply credit equivalent amounts by appropriate risk weights (dependent on underlying counterparty). Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-29 Capital Adequacy: Australia’s Authorised Depository Institutions Credit Risk Adjusted Off-Balance-Sheet Assets Under Basel I and II: Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-30 Capital Adequacy: Australia’s Authorised Depository Institutions The Credit Risk Adjusted Asset Value of Off-BalanceSheet Market Contracts or Derivative Instruments: • Counterparty credit risk: The risk that the other side of a contract will default on payment obligations. • Credit equivalent amount of OBS derivative security item ($) = potential exposure ($) + current exposure ($) • Potential exposure: the risk of a counterparty to a derivative securities contract defaulting in the future. • Current exposure: the cost of replacing a derivative securities contract at today’s prices. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-31 Capital Adequacy: Australia’s Authorised Depository Institutions The Credit Risk Adjusted Asset Value of Off-BalanceSheet Market Contracts or Derivative Instruments: • Credit risk adjusted value of OBS market contracts = total credit equivalent amount × risk weight. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-32 Capital Adequacy: Australia’s Authorised Depository Institutions The Credit Risk Adjusted Asset Value of Off-Balance-Sheet Derivative Instruments with Netting: • Addresses the problem that netting of exposures is ignored. • Approach adopted by APRA under the condition that an FI has a bilateral netting contract. • Net potential exposure (PFCEadj): (0.4 × PCFEgross) + (0.6 × NGR × PCFEgross) Where: PCFEgross = sum of the potential future credit exposures of each contract, NGR = ratio of net current exposure to gross current exposure. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-33 Capital Adequacy: Australia’s Authorised Depository Institutions The Credit Risk Adjusted Asset Value of Off-BalanceSheet Derivative Instruments with Netting: • Current exposure: net sum of all positive and negative replacement costs. • If result is positive, then the net current exposure equals the sum. • If result is negative, the net current exposure is zero. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-34 Capital Adequacy: Australia’s Authorised Depository Institutions Interest Rate Risk, Market Risk and Risk-Based Capital: • Insolvency risk arising from duration mismatches and trading risk were not explicitly accounted for in the original capital framework. • Since 1998: FIs have had to calculate an ‘add-on’ to cover market risk. • Two different approaches: – Standardised model (predetermined by regulators), – FI’s own internal market risk model. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-35 Capital Adequacy: Australia’s Authorised Depository Institutions Operational Risk and Risk-Based Capital: • Three increasingly sophisticated approaches to calculate operational risk capital: – Basic Indicator Approach, – Standardised Approach, – Advanced Measurement Approach. • Basic Indicator Approach: – On average banks hold 12% of total regulatory capital against operational risk exposures, – Operational capital = α × gross income. • α = 17 – 20%. • Gross income = net interest income + net non-interest income Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-36 Capital Adequacy: Australia’s Authorised Depository Institutions Operational Risk and Risk-Based Capital: • Standardised Approach: – Refinement to Basic Indicator Approach, – FI’s activities divided into eight business units and lines, – Risk indicator (β) in each business line reflects the business line’s riskiness. – Operational capital in each business line = β × gross income. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-37 Capital Adequacy: Australia’s Authorised Depository Institutions Operational Risk and Risk-Based Capital: • Standardised Approach: Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-38 Capital Adequacy: Australia’s Authorised Depository Institutions Operational Risk and Risk-Based Capital: • Advanced Measurement Approach: – Internal Measurement Approach (IMA), – Loss Distribution Approach (LDA), – Scorecard Approach (SA). • Requirements to be fulfilled by FIs to qualify for the Advanced Measurement Approach: – Systematic and transparent operational risk management and measurement practices (capable of independent review and validation), – Framework to manage, measure and monitor operational risk. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-39 Capital Adequacy: Australia’s Authorised Depository Institutions Operational Risk and Risk-Based Capital : • Requirements to be fulfilled by FIs to qualify for the Advanced Measurement Approach (continued): – Collection of operational risk data, – Use of internal and relevant external operational risk data, scenario analysis, specific indicators of the FI’s current and future operational risk profile. – Operational risk capital must cover expected and unexpected losses, – Operational risk requirement must be comparable to a 99.9% confidence level and a one-year holding period. • Risk mitigators might be allowed, subject to APRA’s approval (maximum: 20%). Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-40 Capital Adequacy: Australia’s Authorised Depository Institutions Criticisms of the Risk-Based Capital Ratio: • Risk weights, • Risk weights based on external credit rating agencies, • Portfolio aspects, • DI specialness, • Other risks, e.g. credit crunches. • Competition. Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-41 Internal Ratings Based Approach to Measuring Credit Risk Adjusted Assets • Two Internal Ratings Based (IRB) Approaches: – Foundation IRB Approach, – Advanced IRB Approach. • Foundations IRB Approach: – Bank internally estimates the one-year probability of default (PD), – Supervisor determines other risk determinants. • Advanced IRB Approach: – Bank determines PD, loss given default (LGD), exposure at default (EAD) and maturity (M). Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-42 Internal Ratings Based Approach to Measuring Credit Risk Adjusted Assets Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Financial Institutions Management 2e, by Lange, Saunders, Anderson, Thomson and Cornett Slides prepared by Maike Sundmacher 17-43