Interest Rate Risk in the Banking Book: Stress Testing and Scenario Analysis

Economic → Interest Rate Shocks
RAI Insights | 2025-11-02 22:20:52

Introduction Slide – Interest Rate Risk in the Banking Book: Stress Testing and Scenario Analysis

Assessing Bank Resilience Against Rate Volatility

Overview

  • Interest Rate Risk in the Banking Book (IRRBB) stress testing evaluates how banks withstand adverse movements in interest rates, focusing on risks not captured by static models.
  • Understanding IRRBB is crucial for financial stability, as excessive risk can threaten bank earnings and capital, especially in volatile environments.
  • This deck covers the principles of stress testing, scenario construction, behavioral challenges, regulatory expectations, and practical implementation.
  • Key insight: Stress testing reveals vulnerabilities hidden by standard calculations, especially around behavioral assumptions and tail events.

Key Discussion Points – IRRBB Stress Testing and Scenario Analysis

Beyond the Standard: Drivers and Insights

Main Points

  • Standard IRRBB calculations use predefined rate shocks (e.g., ±200 bps parallel shifts) but may miss tail-risk events and behavioral surprises.
  • Stress testing explores severe scenarios, including non-linear rate jumps, market disruptions, and shifts in customer behavior (e.g., mass withdrawals, accelerated prepayments).
  • Risk considerations include non-maturity deposit behavior, prepayment risk, basis risk, option risk, and credit spread risk, all amplified under stress.
  • Takeaway: Effective stress testing requires collaboration across treasury, risk, and finance teams to challenge assumptions and uncover material risks.

Graphical Analysis – Yield Curve Stress Scenarios

Visualizing Rate Shock Impact

Context and Interpretation

  • This layered chart illustrates the impact of different stress scenarios on a bank’s net interest income (NII) and economic value of equity (EVE) across yield curve shapes.
  • Trends show how parallel, steepening, and flattening shocks affect risk metrics differently, with severe stress scenarios (tail events) causing disproportionate losses.
  • Risk considerations include the bank’s ability to reprice assets and liabilities, hedge effectiveness, and behavioral adjustments.
  • Key insight: Tail-risk scenarios expose vulnerabilities not visible under normal or moderate stress.
Figure: Impact of Yield Curve Stress Scenarios on NII and EVE
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    {"Scenario": "Parallel Up", "NII_Impact": -6, "EVE_Impact": -15, "Prepayment_Rate": 25},
    {"Scenario": "Parallel Down", "NII_Impact": 4, "EVE_Impact": 10, "Prepayment_Rate": 15},
    {"Scenario": "Steepening", "NII_Impact": -8, "EVE_Impact": -20, "Prepayment_Rate": 30},
    {"Scenario": "Flattening", "NII_Impact": -3, "EVE_Impact": -8, "Prepayment_Rate": 10},
    {"Scenario": "Tail Event", "NII_Impact": -15, "EVE_Impact": -35, "Prepayment_Rate": 45}
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    {"mark": "bar", "encoding": {"y": {"field": "EVE_Impact", "type": "quantitative", "title": "EVE Impact (%)"}, "color": {"value": "#ff7f0e"}}},
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Graphical Analysis – IRRBB Stress Testing Project Timeline

Context and Interpretation

  • This Gantt chart outlines the typical phases of an IRRBB stress testing project, from scenario design to results analysis and management action.
  • Trends show that effective stress testing requires iterative refinement, especially as new risks and behavioral patterns emerge.
  • Risk considerations include the need for timely responses to adverse scenarios and the integration of findings into risk appetite frameworks.
  • Key insight: A structured, phased approach ensures comprehensive coverage and actionable outcomes.
Figure: IRRBB Stress Testing Project Timeline
gantt
title IRRBB Stress Testing Project Timeline
dateFormat  YYYY-MM-DD
section Preparation
Scenario Design           :a1, 2025-11-01, 14d
Data Collection           :after a1, 7d
section Execution
Model Calibration         :a2, after a1, 10d
Stress Test Run           :after a2, 7d
section Analysis
Results Review            :a3, after a2, 7d
Management Reporting      :after a3, 5d
section Action
Risk Mitigation Planning  :a4, after a3, 10d

Analytical Summary & Table – Scenario Impact Comparison

Quantitative and Qualitative Stress Test Outcomes

Key Discussion Points

  • Stress testing outcomes vary significantly by scenario type, with tail events and behavioral shifts causing the most severe impacts.
  • Contextual interpretation emphasizes the importance of scenario selection, including historical, hypothetical, and reverse stress tests.
  • The significance of metrics like NII and EVE lies in their ability to capture both earnings and capital risk under stress.
  • Assumptions around deposit stability and prepayment behavior are critical limitations; real-world outcomes may diverge from models.

Illustrative Scenario Impact Table

ScenarioNII Impact (%)EVE Impact (%)Behavioral Shift
Parallel Up-6-15Moderate
Parallel Down410Low
Steepening-8-20High
Flattening-3-8Low
Tail Event-15-35Extreme

Analytical Explanation & Formula – Core IRRBB Metrics

Quantifying Interest Rate Risk

Concept Overview

  • The core of IRRBB stress testing lies in projecting changes in Net Interest Income (NII) and Economic Value of Equity (EVE) under various rate scenarios.
  • These metrics depend on the repricing behavior of assets and liabilities, optionality, and customer behavior, all modeled under stress.
  • Key parameters include the shock size, repricing gaps, behavioral adjustments, and hedge effectiveness.
  • Practical implications: Accurate modeling requires robust data, sound assumptions, and regular validation against actual outcomes.

General Formula Representation

The change in Economic Value of Equity under a rate shock can be expressed as:

$$ \Delta EVE = \sum_{t=1}^{T} \frac{CF_t^{assets} - CF_t^{liabilities}}{(1 + r_t + \Delta r)^t} - \sum_{t=1}^{T} \frac{CF_t^{assets} - CF_t^{liabilities}}{(1 + r_t)^t} $$

Where:

  • \( CF_t^{assets}, CF_t^{liabilities} \) = Cash flows from assets and liabilities at time \( t \)
  • \( r_t \) = Base discount rate at time \( t \)
  • \( \Delta r \) = Interest rate shock

A similar approach applies to NII, focusing on periodic income rather than present value.

Graphical Analysis – NII and EVE Sensitivity Over Time

Tracking Risk Evolution

Context and Interpretation

  • This line chart tracks the sensitivity of NII and EVE to interest rate shocks over multiple years, highlighting how risk profiles evolve with market conditions and balance sheet changes.
  • Trends may show increasing sensitivity during periods of low rates or high optionality, and decreasing sensitivity following hedging or balance sheet repositioning.
  • Risk considerations include the potential for sudden shifts in sensitivity due to behavioral changes or macroeconomic shocks.
  • Key insight: Continuous monitoring and scenario updating are essential for proactive risk management.
Figure: NII and EVE Sensitivity to Rate Shocks (2020–2025)
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    {"Year": 2020, "NII_Sensitivity": 100, "EVE_Sensitivity": 80},
    {"Year": 2021, "NII_Sensitivity": 110, "EVE_Sensitivity": 90},
    {"Year": 2022, "NII_Sensitivity": 130, "EVE_Sensitivity": 120},
    {"Year": 2023, "NII_Sensitivity": 120, "EVE_Sensitivity": 110},
    {"Year": 2024, "NII_Sensitivity": 105, "EVE_Sensitivity": 95},
    {"Year": 2025, "NII_Sensitivity": 115, "EVE_Sensitivity": 105}
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Conclusion

Strengthening Bank Resilience Through Stress Testing

  • IRRBB stress testing is a critical tool for identifying vulnerabilities that standard calculations miss, especially around behavioral risk and tail events.
  • Next steps include integrating reverse stress testing, refining behavioral models, and aligning with evolving regulatory expectations.
  • Remember: Scenario design, cross-functional collaboration, and continuous model validation are key to effective IRRBB management.
  • For further insights, explore macroeconomic scenario linkage and advanced behavioral modeling techniques.
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