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Market Risk

Market risk is the risk of losses on positions caused by movements in market prices and rates. Its main sub-types are equity risk (stock prices), interest-rate risk (yield moves), currency / FX risk (exchange rates), and commodity risk (raw-material prices). Because market variables are observable and have rich price histories, market risk is the most heavily quantified branch and the natural home of Value at Risk. The size of a market-risk loss depends on both the sensitivity of the position to the risk factor and the size of the move in that factor.

Why it matters

Market risk is the everyday weather of trading: prices, rates, and exchange rates drift and lurch, and your positions ride those moves. Two things set the damage, how exposed you are (a big or leveraged position, a long-duration bond) and how violently the market moves. Because there is so much price data, this is the branch where the quants are most at home, which is why VaR was invented here first.

Formulas

Position P&L from a risk-factor move (first order)
ΔV≈δ ΔP\Delta V \approx \delta \, \Delta P
The change in position value ΔV\Delta V is the sensitivity δ\delta (delta, duration, beta) times the move ΔP\Delta P in the risk factor. Larger sensitivity or larger moves mean larger market-risk losses.
Bond price change from a yield move (duration)
ΔBB≈−D Δy\frac{\Delta B}{B} \approx -D \, \Delta y
A worked instance of interest-rate market risk: modified duration DD scales the percentage price fall for a given yield rise Δy\Delta y.

Worked examples

Scenario

A bond portfolio worth US$50M has modified duration 6. Yields rise by 50 basis points. Estimate the market-risk loss.

Solution

Use the duration approximation: percentage change is about −D×Δy=−6×0.005=−3%-D \times \Delta y = -6 \times 0.005 = -3\%. On US$50M that is roughly a US$1.5M loss. The loss scales with both the sensitivity (duration 6) and the size of the move (50 bp), the two drivers of any market-risk number.

Common mistakes

  • ✗Market risk only affects traders and hedge funds. Any firm with FX revenue, floating-rate debt, or commodity inputs carries market risk on its balance sheet, not just trading desks.
  • ✗A diversified portfolio has no market risk. Diversification removes firm-specific risk, but exposure to broad market, rate, and FX moves (systematic market risk) remains.
  • ✗Market risk equals total volatility regardless of direction. Risk management focuses on the loss side of price moves; symmetric volatility is only a proxy when the distribution is symmetric.
  • ✗Bigger positions are the only driver of market-risk loss. Loss depends on sensitivity times the move, so a small but highly sensitive or leveraged position can lose more than a large, low-sensitivity one.

Revision bullets

  • •Market risk = losses from moves in prices and rates
  • •Sub-types: equity, interest-rate, FX, commodity
  • •Most heavily quantified branch; home of VaR
  • •Loss = sensitivity (delta/duration/beta) x size of factor move
  • •Affects any firm with FX, rate, or commodity exposure, not just traders

Quick check

Which of the following is a sub-type of market risk?

A bond portfolio loses value when yields rise. The size of the loss depends mainly on

Connected topics

Risk TreatmentRisk TaxonomyNormal & Z-ScoresVaR Definition

Sources

  1. Jorion (2007), Ch. 1, 11
    Jorion, P. Value at Risk: The New Benchmark for Managing Financial Risk. 3rd ed. McGraw-Hill, 2007.
    Defines market risk and its decomposition into sensitivity and risk-factor volatility.
  2. Hull (2018), Ch. 8-9
    Hull, J. C. Risk Management and Financial Institutions. 5th ed. Wiley, 2018.
    Covers equity, interest-rate, currency, and commodity components of market risk.
How to cite this page
Dr. Phil's Quant Lab. (2026). Market Risk. Derivatives Atlas. https://phucnguyenvan.com/concept/frm-market-risk
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