Ch1. FRM Financial Risk Manager — Overview & Market Risk

What Is the FRM?

FRM (Financial Risk Manager) is the premier global certification in financial risk management, awarded by GARP (Global Association of Risk Professionals), headquartered in the United States. Recognized in more than 100 countries, the FRM credential covers the full spectrum of financial risks: market risk, credit risk, operational risk, and liquidity risk.

Why FRM Matters:

• The world’s highest-authority certification in risk management
• Highly sought after by investment banks, commercial banks, asset managers, and hedge funds
• Considered alongside the CFA as one of the two flagship global finance credentials

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FRM Exam Structure

Part I Overview

Part I tests quantitative risk foundations and core concepts.

Subject	Weight	Key Topics
Foundations of Risk Management	20%	Risk frameworks, CAPM, Fama-French
Quantitative Analysis	20%	Probability, regression, time series
Financial Markets & Products	30%	Options, futures, swaps, bonds
Valuation & Risk Models	30%	VaR, Greeks, duration, convexity

Part II Overview

Part II focuses on applied risk management.

Subject	Weight	Key Topics
Market Risk Measurement	20%	VaR models, backtesting, FRTB
Credit Risk Measurement	20%	PD, LGD, EAD, CVA
Operational & Integrated Risk	20%	OpRisk, Basel Accords
Liquidity & Treasury Risk	15%	LCR, NSFR, liquidity stress
Risk Management & Investment	15%	Portfolio risk, hedge funds
Current Issues	10%	Emerging topics from GARP reading list

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Market Risk: The Core of FRM Part I & II

Market risk is the risk of loss due to adverse movements in market prices — interest rates, equity prices, FX rates, and commodity prices.

Value at Risk (VaR)

VaR is the cornerstone of market risk measurement. It answers: “What is the maximum loss over a given time horizon at a given confidence level?”

Example: A 1-day 99% VaR of $1 million means there is a 1$1 million in a single day.

Three VaR Methodologies

1. Variance-Covariance (Parametric) Method

• Assumes normally distributed returns
• Fast and intuitive but fails under fat tails and non-linear exposures
• Formula: VaR = μ − z × σ (where z = 2.326 for 99%)

2. Historical Simulation

• Uses actual past returns to simulate the loss distribution
• No distributional assumptions — captures fat tails naturally
• Limitation: heavily dependent on the chosen lookback window

3. Monte Carlo Simulation

• Generates thousands of random scenarios based on specified distributions
• Most flexible — handles non-linear instruments and complex correlations
• Computationally intensive but the gold standard for complex portfolios

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Stress Testing & Scenario Analysis

VaR has well-known shortcomings: it fails to capture tail risk beyond the confidence threshold. Regulators and risk managers therefore complement VaR with stress tests.

Stress Testing Approaches:

• Historical scenarios: Replay past crises (2008 GFC, 2020 COVID, 1997 Asian crisis)
• Hypothetical scenarios: Design custom shocks (equity -40%, rates +300bps)
• Reverse stress tests: Identify which scenarios would cause the firm to fail

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FRTB: Fundamental Review of the Trading Book

The Basel Committee’s FRTB framework (fully effective 2025) overhauls market risk capital requirements:

Feature	Old IMA	FRTB IMA
Risk measure	VaR (99%, 10-day)	Expected Shortfall (97.5%)
Liquidity horizon	Fixed	Variable (10–120 days by asset class)
P&L attribution	—	Required (backtesting gate)

Expected Shortfall (ES) is the average loss beyond the VaR threshold, making it more sensitive to tail risk than VaR alone.

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Practical Exam Tips for Market Risk

1. Memorize VaR scaling: Scale daily VaR to n-day VaR with √n (under i.i.d. returns)
2. Greeks fluency: Know Delta, Gamma, Vega, Theta, Rho and their risk implications
3. Duration & convexity: Essential for fixed income market risk
4. Backtesting: Understand Basel traffic-light zones (green/yellow/red based on exception count)
5. FRTB vs. old framework: High-frequency exam topic since 2023

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Summary

Topic	Key Takeaway
FRM structure	Part I (foundations) → Part II (applied)
VaR	Max loss at given confidence; 3 methods
Stress testing	Complements VaR for tail events
FRTB	ES replaces VaR; variable liquidity horizons
Exam focus	Market risk = ~20% of both Part I and Part II

In Chapter 2 we dive into Credit Risk — the dominant topic in FRM Part II and the area where most exam candidates earn (or lose) the most points.