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# Stress Testing Banks

After completing this reading, you should be able to:

• Describe the historical evolution of the stress testing process and compare methodologies of historical EBA, CCAR, and SCAP stress tests.
• Explain challenges in designing stress test scenarios, including the problem of coherence in modeling risk factors.
• Explain challenges in modeling a bank’s revenues, losses, and its balance sheet over a stress test horizon period.

## What are Stress Tests?

These are simulation exercises implemented to ascertain the resilience of a single bank or the entire banking sector to adverse unanticipated occurrences. Solvency tests help to assess banks’ capital planning and capital adequacy, thus reducing the likelihood of failure. They also help to assess the bank’s ability to balance cash inflows and outflows in a stress scenario.

### Historical Evolution of Stress Testing Process

Stress tests took center stage following the 2007-2008 financial crisis. It developed as a means of assessing the ability of financial institutions to withstand adverse events. The idea was to identify and report the bank’s capital sufficiency to evade the inherent failures. Stress tests have since become entrenched tools to gauge the resilience of the banking sector. The emphasis on stress tests to assess and replenish bank solvency was clarified by the fact that capital defines the ability of a bank to weather losses and continue to lend.

Until the Great Financial Crisis, banks were limited to following the Internal Rating-Based Approach for Capital Requirements for Credit Risk under Basel II. They were required to stress test their internal rating models under different scenarios, including market risk, liquidity conditions, among others.

The Basel Committee on Banking Supervision (BCBS) released a publication in May 2009 describing why stress testing failed during the great financial crisis. It addressed the following issues:

1. Scenarios considered: Minor severity and missing correlations between scenarios affected results as they could not provide a comprehensive representation of the aggregate risks across the bank. Scenarios were undertaken at a business level and were unrelated to capital adequacy and liquidity.
2. Stress testing of specific risks and products: New complex products or strategies such as complex hedging strategies were not covered under credit risk, liquidity, and contingent risk. Furthermore, funding and reputational constraints were not tested.
3. Stress testing approaches: Several risk management tools employed historical statistical relationships to assess risks. Similarly, the banking sector lacked a firm-wide approach and focused so much on models calibrated on historical data. The use of historical information revealed that the method did not consider future risk exposures.
4. Use of stress testing and integration in risk governance: Stress tests were not included in a global risk framework as other business doubted the credibility of the analysis. Senior management was not involved enough, implying the non-existence of a worldwide aggregation of stress test results
5. Furthermore, the financial crisis demonstrated the extreme damage to the economy when banks become distressed, and lending is restricted. Moreover, it pinpointed deficiencies in risk management across the financial system.

### European Banking Authority (EBA)

The May 2009 Basel Committee on Banking Supervision (BCBS) publication on the implementation of stress testing principles led the Committee of European Banking Supervisors (CEBS) – which eventually became the European Banking Authority (EBA) in 2010.

EBA was developed to set a date for the implementation of these principles at a local institution-level. The EBA conducts regular stress tests to maintain financial stability in the EU’s banking industry. Its stress testing program is shown below:

### The US Supervisory Capital Assessment Programme (SCAP)

In response to the global financial crisis, the United States Federal Reserve’s Supervisory Capital Assessment Program (SCAP) assessed whether the largest domestic banks had adequate capital resources to absorb losses and continue operating optimally. This marked the first macro-prudential stress test after the crisis. Macro-prudential stress testing involves analyzing the soundness of the banking system as a whole. On the other hand, in micro-prudential exercises, the authorities use stress test results as part of the supervisory review to assess the strategies, processes, and risk resilience of individual institutions.

This stress test was key in restoring confidence in the financial sector by publicly disclosing to bank balance sheets in terms of the true value of structured products, thus bringing transparency. US\$75 billion of additional capital was raised. SCAP successfully reassured the markets.

In conclusion, SCAP had the following effects on stress testing:

$$\textbf{Pre-SCAP vs. Post-SCAP Stress Testing Framework}$$

$$\begin{array}{l|l|} \textbf{Pre-SCAP} & \textbf{Post-SCAP} \\ \text{Mostly single shock} & \text{Broad macro scenarios and market stress} \\ \text{Carried out at the product or business unit level} & \text{Comprehensive, firm-wide} \\ \text{Static} & \text{Dynamic and path dependent} \\ \text{Isolated and not tied to capital adequacy} & \text{Explicit post-stress common equity threshold} \\ \end{array}$$

### Comprehensive Capital Analysis and Review (CCAR)

The Federal Reserve System initiated the Comprehensive Capital Analysis and Review (CCAR) for the largest banks. This started the next generation of comprehensive regulatory stress tests.

CCAR’s primary objective is to ensure that a repeat of the 2008 financial crisis is avoided by giving regulators better and advance visibility into stress testing results of bank balance sheets regularly.

CCAR is a forward-looking operation that gives a detailed view of capital and risk for two years in the future. The supervisors define macroeconomic scenarios that are used to determine the profit and loss for each quarter. It is key to note that failing banks are not authorized to carry out share buybacks or pay dividends. Thus, CCAR is strictly adhered to by the banking industry. The following diagram illustrates the CCAR processes.

## Challenges in Designing Stress Test Scenarios

Coherence is one of the challenges of designing useful stress tests. Coherence means that besides the scenarios and sensitivities being extreme, they must be reasonable or possible. However, it is difficult to develop a coherent stress test because of the following reasons.

### Risk Factors are Dynamic

Dynamic risk factors change throughout the life course. This makes it difficult to develop a coherent stress test as risk factors all move simultaneously. For example, not all currencies can depreciate at once; some have to appreciate.

### Risk Factors are Intrinsically Multi-factored

It is insufficient to highlight one risk factor because the other risk factors also change. For example, high unemployment coincides with declining equity prices. This makes it challenging to design a coherent stress test.

### Complex and a High-dimensional Universe of Portfolio Positions

The problem of coherence is more acute when taking into account stress scenarios for risks for marked-market portfolios. Value at Risk (VaR) is used to manage the risk of portfolios of traded securities and derivatives. The many positions in the trading book must be mapped to tens of thousands of risk factors tracked daily. The resulting data is used to estimate parameters such as volatility and correlation. Finding coherent outcomes in such a high dimensional universe is complicated.

### Difficult to Find Jointly Coherent Scenarios

The supervisor deals with the task of specifying a joint outcome that is coherent for all risk factors. Safe-haven assets must be possessed by every market shock scenario that causes flights from risky assets. This challenge is compounded by the complicated task of finding a jointly coherent real and financial factor scenario.

### Historical Scenarios

The 2009 SCAP tested simple scenarios with GDP growth, unemployment, and house price index (HPI) as the dimensions of the state space. The market risk scenario was based on historical experience. However, historical scenarios never test for something new.

## Challenges in Modeling a Bank’s Revenues, Losses, and its Balance Sheet

### Losses

The following are challenges in modeling a bank’s losses:

1. Translating macro risk factors employed in stress testing to micro: Most emphasis has been placed on monitoring the effects of macroeconomic shocks, yet micro-financial forces could even pose greater threats to financial stability. The span of such threats is larger and more difficult to identify and model than macroeconomic risks.
2. Geographical differences: The EBA’s objective was to solve the challenge of geographic differences since it affected several economies in developed nations. Taking into account the dynamic rates of unemployment nationally and within states, it is evident that geographical factors have a deep impact on loss modeling.
3. Business cycle: Different industries are affected by the business cycle at different times. For example, if the airline industry distressed, and a bank is stuck with the collateral on defaulted aircraft leases, it is nearly impossible to sell the aircraft except at exceedingly depressed prices. While all that is happening, the healthcare sector may be doing relatively well. But it is complex to transform an airplane into a hospital!

These factors make it difficult to map broader macro-factors to bank-specific stress results.

### Revenues

1. Under-development in modeling revenues: Employment of stress analysis on revenues can be less developed over a stress test horizon period relative to modeling losses. The techniques for obtaining revenues under adverse conditions have been under-researched.
2. Effect of fluctuating interest rates: A bank’s revenues are classified into interest income and non-interest income. It is difficult to model interest income because of the variability associated with interest rates. The unanticipated swings in rates may impair the bank’s profitability. It is even more difficult to model non-interest income such as trading income, fiduciary charges, and service charges.
3. The complexity of the effects of scenario analysis on interest-free incomes: The impacts on non-interest revenues are difficult to assess since less has been reported about their determinants.

### The Balance Sheet

1. Depletion of capital: Actions such as acquisitions, changes made to dividend payments depending on whether shares will be repurchased or issued can wipe out capital hence make it difficult to model the balance sheet over the stress horizon.
2. Raising capital: The banks might be obligated to raise capital as per a particular plan without considering its efficiency. Therefore, the income, assets, and liability statements have to be modeled within the stress testing period.
3. Nature and size of new assets: Stress testing approaches yield partial equilibrium results while focusing on initial impacts on bank financial statements. This, however, underestimates the severity of the financial crisis. Therefore, all the cash inflows and expenditures must be keenly considered by the modeler to provide accurate and reliable reflections of the bank.

## Practice Question

The Supervisory Capital Assessment Program (SCAP) took place in the spring of 2009 during the financial crisis of 2008-2009 and was intended to measure the financial strength of the nation’s 19 largest financial institutions going forward. SCAP being the first macro-prudential stress test has some features to distinguish. Which of the differences listed below is NOT a feature that correctly describes the differences between pre-SCAP and post-SCAP?

A. Post-SCAP applies to a broad macro scenario and market stress while pre-SCAP is mostly single shock.

B. Pre-SCAP is dynamic while post-SCAP is static and path prudent.

C. Post-SCAP applies to losses, revenues, and costs whereas pre-SCAP applies to losses only.

D. Whereas pre-SCAP is not usually tied to capital adequacy, post-SCAP is explicit post-stress common equity threshold.

To the contrary, post-SCAP is actually dynamic and path-dependent as compared to pre-SCAP which is quite static.

The following are the correct differences between pre- and post-SCAP stress testing.

1. Pre-SCAP is mostly single shock while post-SCAP involves a broad macro scenario and market stress;

2. Pre-SCAP applies to product or business unit level while post-SCAP is more comprehensively applied, firm-wide;

3. Pre-SCAP is static while post-SCAP mostly path-dependent and dynamic;

4. While pre-SCAP is not usually tied to capital adequacy, pre-SCAP is an explicit post-stress common equity threshold; and

5.Pre-SCAP applies to losses only whereas post-SCAP is for losses, revenues, and costs.

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