FRM Part 1 Valuation & Risk Models: VaR, duration, and options

Valuation and Risk Models is 30% of the exam — the topic that turns everything else in Part 1 into an actual risk number. Here's the full breakdown, plus a worked parametric VaR example.

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What FRM Part 1 Valuation & Risk Models actually tests

Valuation and Risk Models is 30% of the Part 1 exam:

AreaWhat it covers
Value at Risk (VaR)Parametric, historical simulation, Monte Carlo methods
Expected ShortfallDefinition, advantages over VaR, regulatory context (Basel III)
BacktestingKupiec test, Basel traffic-light framework
Bond Valuation & DurationYTM, spot/forward rates, Macaulay/modified duration, convexity
Options PricingBlack-Scholes-Merton, binomial model, put-call parity
Options GreeksDelta, gamma, theta, vega, rho, delta hedging
Volatility SurfacesImplied volatility, smile, skew
Credit Risk FundamentalsDefault probability, loss given default, structural models (Merton)

Why this topic is the exam's center of gravity

Valuation and Risk Models is where the quant tools from earlier topics (probability distributions, regression) and the instruments from Financial Markets & Products (bonds, options) converge into the actual risk-management output — a VaR number, a duration figure, a Greek. It's tested heavily because it's genuinely the connective tissue of the whole Part 1 syllabus.

Sample question: Parametric VaR

Valuation & Risk Models · Medium difficulty

A portfolio has a daily standard deviation of $500,000. Using the parametric (delta-normal) method, what is the 1-day 99% VaR? (z = 2.33 for 99% confidence)

A. $825,000
B. $1,165,000
C. $1,325,000
D. $1,500,000
The correct answer is B — $1,165,000.
Parametric VaR = z × σ = 2.33 × $500,000 = $1,165,000. This assumes returns are normally distributed and the portfolio has no significant options/nonlinear exposure — for portfolios with meaningful optionality, historical simulation or Monte Carlo VaR is more appropriate than the parametric method.

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