FRM Part 1 Foundations Course
A structured FRM Part 1 course covering risk foundations, quantitative analysis, financial markets and products, valuation and risk models, market risk, credit risk, operational risk, and liquidity risk with linked practice questions.
What you will learn
- Understand FRM Part 1 exam structure and topic weights
- Apply risk governance and quantitative analysis to real decisions
- Understand financial markets, products, valuation and risk models
- Identify market, credit, operational and liquidity risk drivers
- Build a review plan with linked FRM practice questions
Before you start
- Basic knowledge of algebra and probability
- Familiarity with financial markets is helpful but not required
Lesson 1 FRM Part 1 Exam Overview and Risk Governance
The FRM Part 1 exam is a computer-based test made up of 100 multiple-choice questions that candidates must complete in four hours. It covers four topics: Foundations of Risk Management, Quantitative Analysis, Financial Markets and Products, and Valuation and Risk Models, with roughly 20%, 20%, 30%, and 30% of the exam weight respectively.
Foundations of Risk Management introduces the core ideas that shape modern risk practice. Enterprise risk management, or ERM, treats risk across the whole organization as a portfolio, so that separate business units do not manage risk in isolation. The risk appetite statement translates strategy into measurable limits that the firm is willing to accept.
Strong risk governance assigns clear responsibility. The board approves risk strategy and appetite, oversees the framework, and is ultimately accountable to shareholders. Senior management implements policy, while the chief risk officer, or CRO, leads the independent risk function and reports risk exposures to the board and regulators.
Basel capital standards provide the global framework. Basel II introduced the three pillars: minimum capital, supervisory review, and market discipline; Basel III strengthened capital quality, liquidity, and leverage requirements after the 2008 crisis.
- Know the four FRM Part 1 topics and their approximate weights.
- Distinguish ERM from siloed risk management.
- Explain how risk appetite and limits guide day-to-day decisions.
- Compare board, senior management, and CRO responsibilities.
- Summarize the evolution from Basel I to Basel III.
Weight plan: markets and valuation are 30% each, quant and foundations 20% each. Study by weight, take a diagnostic, and review ethics and governance early.
Example
A regional bank sets an enterprise risk appetite of $50 million in annual loss tolerance and a 15% return-on-equity target. The board approves a risk appetite statement that allocates limits by category: credit risk $30 million, market risk $12 million, and operational risk $8 million.
At quarter end, the CRO reports a market risk loss of $14 million, which exceeds the market risk limit by $2 million. Under the governance framework, the board reviews the breach, senior management proposes a mitigation plan, and the CRO requires an additional $5 million capital buffer before limits are restored.
This example shows how appetite, limits, reporting, and escalation work together as one control loop.
Worked example: With markets at 30%, schedule two study blocks per week for it.
Lesson 2 Quantitative Analysis for FRM Part 1
Quantitative Analysis gives risk managers the tools to measure uncertainty. Probability concepts begin with random variables, expected value, variance, and covariance, which describe how outcomes are distributed and how two variables move together.
Common distributions matter in practice: the normal distribution supports many risk models, the lognormal distribution keeps asset prices positive, and the binomial distribution models discrete outcomes. Linear regression estimates the relationship between a dependent variable and one or more independent variables, while correlation and covariance summarize dependence.
Hypothesis testing lets analysts decide whether evidence supports a claim, using a null hypothesis, a test statistic, and a significance level. Monte Carlo simulation generates many random scenarios from assumed distributions and aggregates the results to estimate probabilities that are difficult to solve analytically.
Value at Risk, or VaR, summarizes the worst expected loss over a target horizon at a given confidence level. Parametric VaR assumes normality and uses the mean and standard deviation, while historical and Monte Carlo approaches use observed or simulated data.
- Compute expected value, variance, and standard deviation.
- Recognize normal, lognormal, and binomial distributions.
- Interpret regression coefficients, R-squared, and correlation.
- Apply hypothesis testing steps: null, statistic, p-value, decision.
- Explain VaR intuition and the difference between parametric, historical, and Monte Carlo VaR.
Distribution drill: know normal, lognormal, binomial, and Poisson distributions, plus expected value, variance, covariance, and correlation. Practice standardizing values and reading z-tables.
Example
A fund holds a portfolio worth $10 million with an expected daily return of 0% and a daily standard deviation of 2%. Assuming normally distributed returns, the 95% one-day parametric VaR uses the critical value 1.645.
The daily VaR is 1.645 × 2% = 3.29% of the portfolio, or $329,000. Under the normal model, the fund expects to lose no more than this amount on 95% of trading days, while larger losses are possible on the remaining 5%.
The same inputs produce a 99% VaR of 2.33 × 2% = 4.66%, or $466,000. Raising the confidence level increases VaR because the model looks further into the tail of the distribution.
Worked example: A 95% confidence interval for a normal variable is approximately mean +/- 1.96 standard deviations.
Lesson 3 Financial Markets, Products, and Valuation Models
Financial Markets and Products introduces the instruments traded across bond, equity, derivative, and foreign exchange markets. Bonds are debt instruments with coupon payments and a principal repayment, equities represent ownership claims, and derivatives such as forwards, futures, options, and swaps derive their value from an underlying asset or rate.
Valuation starts with bond pricing: the price equals the present value of future cash flows discounted at the market yield. Duration measures the approximate percentage change in price for a small change in yield, and convexity captures the curvature that makes the estimate more accurate for larger moves.
Option pricing builds on payoff logic. A call gives the right to buy and a put gives the right to sell, each at a fixed strike price. The binomial model values an option by constructing a tree of possible underlying prices, hedging the position, and discounting risk-neutral expected payoffs.
Valuation and Risk Models then applies these tools to measure exposure, price complex positions, and test the sensitivity of portfolios to changes in rates, prices, and volatility.
- Identify bonds, equities, options, forwards, futures, swaps, and FX instruments.
- Price a bond by discounting its coupon and principal cash flows.
- Use duration and convexity to estimate bond price changes.
- Explain call and put payoff profiles at expiry.
- Value a simple option with a one-step binomial tree.
Product drill: compare bonds, equities, forwards, futures, options, and swaps. For bonds, know pricing, duration, and convexity; for options, know payoff diagrams and basic Greeks.
Example
A 3-year bond has a 5% annual coupon, a face value of $1,000, and a market yield of 6%. Its price is the present value of the cash flows: 50 / 1.06 + 50 / 1.06^2 + 1,050 / 1.06^3 ≈ $973.39.
The bond's Macaulay duration is about 2.86 years, giving a modified duration of about 2.70. If the yield rises by 25 basis points, the duration estimate says the price falls by roughly 2.70 × 0.25% = 0.67%, or about $6.56, to $966.83.
A convexity adjustment refines this estimate because the price-yield relationship is curved. Duration works well for small yield moves; adding convexity makes the approximation more accurate for larger moves.
Worked example: A call option payoff is max(S - K, 0) at expiration.
Lesson 4 Market, Credit, Operational, and Liquidity Risk
Market risk measures the potential loss from adverse moves in interest rates, equity prices, foreign exchange, and commodity prices. The 95% or 99% one-day Value at Risk (VaR) summarizes tail exposure, while Expected Shortfall (ES) averages losses beyond the VaR threshold. Stress testing and backtesting evaluate how the model behaves under extreme scenarios and against realized outcomes.
Credit risk arises when a counterparty or borrower fails to meet obligations. Analysts estimate default probability, migration risk through ratings, and expected losses from exposure, loss given default, and probability of default. CVA adjusts derivatives values for counterparty credit risk, and collateral, netting, and margin reduce that exposure.
Operational risk covers losses from failed processes, people, systems, and external events. Firms collect internal and external loss data, run scenario analysis, and design controls, limits, and escalation procedures to manage severity and frequency.
Liquidity risk has two dimensions: funding liquidity and market liquidity. Funding liquidity concerns the ability to meet cash obligations, while market liquidity concerns the cost and speed of unwinding positions. LCR and NSFR measure short-term resilience and stable funding, and stress tests reveal vulnerabilities in stressed funding and market conditions.
- Use VaR and ES to quantify market tail risk.
- Link PD, LGD, EAD, ratings, CVA, and collateral in credit analysis.
- Combine loss data, scenarios, and controls for operational risk.
- Distinguish funding liquidity from market liquidity.
- Apply LCR, NSFR, and liquidity stress testing.
Risk drill: know VaR and expected shortfall for market risk, exposure and default for credit risk, and event trees for operational risk. Practice stress testing and backtesting.
Example
Suppose a portfolio has a 99% one-day VaR of USD 4.2 million and an ES of USD 6.8 million. On a stress day, a 200 basis point rate shock and a 15% equity fall produce an estimated loss of USD 11.5 million, which exceeds the VaR but remains within the stress capital held for the portfolio.
For credit risk, assume a counterparty has a one-year default probability of 2%, an exposure at default of USD 10 million, and a loss given default of 40%. Expected loss equals 2% × 10,000,000 × 40% = USD 80,000, and a CVA adjustment would reflect the market value of that default risk.
In a funding stress test, assume net cash outflows over 30 days are USD 25 million and high-quality liquid assets are USD 30 million; the LCR is 30/25 = 120%, above the 100% minimum.
Worked example: Expected shortfall averages the losses beyond the VaR threshold.
Lesson 5 FRM Part 1 Review Plan and Strategy
A realistic 4-6 week FRM Part 1 plan starts with an honest self-assessment. Take a diagnostic quiz early, rank topics by weakness, and build weekly blocks around the highest-impact areas. Aim to complete core readings in the first two weeks so later weeks can focus on application and recall.
Use spaced repetition for formulas and definitions. Review each topic after one day, again after three days, and then once per week until exam day. Short daily sessions of 60-90 minutes beat long irregular cramming because they build durable memory.
Mock exam strategy matters as much as content. Complete at least three timed mocks in exam-like conditions, review every error, and classify mistakes as knowledge gaps, calculation slips, or time pressure errors. Use that classification to adjust the next study block.
Diagnose weak areas with topic-level scores, then re-study only those sections before retesting. Practice time management by setting time budgets per question and skipping difficult items early. On exam day, arrive early, follow a familiar routine, and prioritize known formulas and question types.
- Diagnose weaknesses with a timed diagnostic before planning.
- Schedule spaced reviews at 1, 3, and 7 day intervals.
- Take at least three full timed mocks.
- Classify errors to target the right fixes.
- Protect sleep and review a one-page formula sheet the night before.
Four-to-six-week plan: weeks 1-2 core reading; weeks 3-4 practice and mocks; week 5 weak topics; week 6 final review. Use spaced repetition for formulas.
Example
Suppose you have six weeks until the exam and score 62% on a diagnostic, with weakest results in valuation, market risk, and quantitative methods. Week 1 focuses on foundations and quant, week 2 on valuation and market risk, week 3 on credit, operational, and liquidity risk, week 4 on full review and mock 1, week 5 on mocks 2 and 3 plus targeted re-study, and week 6 on final review and exam-day preparation.
In week 4, you complete a 100-question mock in 2 hours 30 minutes, miss 18 questions, and classify 6 as knowledge gaps, 8 as calculation slips, and 4 as time pressure errors. The plan then allocates two extra evening sessions to calculation practice and one session to pacing drills, rather than rereading the whole book.
After each review session, spend 10 minutes listing the formulas you can recall from memory; a score of 8 out of 10 confirms the material is ready for the next spaced interval.
Worked example: In week 5, redo the two weakest topic question sets and review each error.