CASE STUDIES / RISK · ANALYSIS · AUG 2025

Monte Carlo raises the same VaR 40%.

Cargo-level value at risk on a representative LNG book, computed twice. History and simulation disagree by forty percent, which makes the method itself a risk decision.

$46M → $64M

5% PORTFOLIO VAR · HISTORICAL VS MONTE CARLO

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Four legs, four indices.

01 · THE BOOK

Two FOB longs and two DES shorts, each on a different index, run over twelve cargoes on two 171k vessels. Forward profit before any risk overlay: $169.2M.

12 CARGOES · 3.5-3.9M MMBTU EACH · FORWARD PROFIT $169.2M

FOB Long · Calcasieu Pass1.1xHH + $1
DES Short · Brunsbuettel0.95x TTF
FOB Long · Qatar0.09x BRENT
DES Short · South Hook0.85x NBP

Two methods, one book.

02 · THE METHODS

Historical risk uses realised prices from January 2024 to July 2025; Monte Carlo runs one thousand simulated price sets. Simulation is uniformly higher across VaR and expected shortfall at both confidence levels, because it reaches tails history never produced.

Historical

Monte Carlo

LOSS METRICS · $M5% / 1% CONFIDENCE
46.1
64.5
58.2
82.1
51.4
76.3
61.1
90.5

5% VAR

1% VAR

5% ES

1% ES

Simulation reaches beyond history.

03 · THE GAP

Across all four metrics the simulated view adds roughly forty to fifty percent. A desk that reports only historical VaR understates exactly the scenarios that hurt most.

+39.7%

5% VAR · MC VS HISTORICAL

+41.1%

1% VAR

+48.2%

1% EXPECTED SHORTFALL

+48.4%

5% EXPECTED SHORTFALL

Re-indexation trims the tail.

04 · THE FIX

Shifting the UK legs from 0.8x NBP to 0.5x NBP plus $4 holds profit flat within a fifth of a percent and cuts portfolio VaR by nearly a tenth. One cargo gets riskier in exchange: risk moves, it rarely disappears.

Portfolio 5% VaR$46.1M → $41.8M
Portfolio 5% ES$51.4M → $46.8M
Portfolio profit+0.18%
Cargo 6 · trade-off$4.1M → $4.9M

05 · THE VERDICT

Choosing the method is itself a risk decision: the same book reports $46M or $64M depending on the lens.
MC UPLIFT ≈ +40%1% MC VAR $82.1MSIMULATIONS 1,000HISTORY JAN 24 - JUL 25

CONSTRUCTED EXAMPLE BOOK · INDEX VALUES OF 20 JULY 2025 · NO RE-OPTIMISATION ACROSS PATHS

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