Screen-print style poster of an LNG cargo weighing an Asian against a European route

CASE STUDIES / OPTIONALITY · MAY 2​025

Zero intrinsic value hides $13M of optionality.

At forward prices the Asia DES-Long option adds nothing and would be easy to concede. Simulated across a thousand paths, it is worth millions, rising sharply with volatility.

$8.6M

WHAT A RIGHT WORTH $0 AT TODAY'S CURVE EARNS ACROSS 1,000 SIMULATED PATHS · $13.3M IN STRESSED MARKETS

View as slides (PDF) →

Two books, one optional contract.

01 · THE TWO BOOKS

The flexibility is measured as the difference between two portfolios that are identical in every respect except one: the Asia-Flex book may also source six DES-Long cargoes in Asia. The indexations are deliberately set so all six start out of the money, with the most profitable one just at the money.

THE BASE BOOK · 2​026 TO 2​027

  • Supply: 24 FOB-Long cargoes from the US, 9 DES-Long into northwest Europe
  • Demand: 6 DES-Short Asia, 18 DES-Short NWE, plus European spot
  • Fleet: 2 x 174K vessels · indexations HH and TTF

THE ASIA-FLEX BOOK · ONE ADDITION

  • Everything above, plus 6 optional DES-Long Asia cargoes
  • Modelled as pure optionality: used only when the whole book profits
  • Adds JKM to the index set; nothing else changes

FORWARD CURVES AND SIMULATIONS FROM 21 MAY 2​025 · HORIZON 2​026 TO 2​027 · PER-MMBTU VALUES ON 22.2M MMBTU (6 X 3.7M)

At the curve, the option is invisible.

02 · AT THE CURVE

Run against today's forwards, both books produce the same plan and the same profit to the dollar: $188,895,430, with no Asia cargo matched. A price-only view puts the exercise threshold out of reach, and every forward point sits outside the exercise region. That is where most valuations stop.

$10$15$20$25$10$15$20$25$30$35JKM PRICE · $/MMBTUTTF PRICE · $/MMBTUPROFIT INDIFFERENCE LINEEXERCISE REGION: DES-MATCH ASIAOPTION UNUSED: SHIP US CARGOES TO CHINAMAY 2​025HISTORY FROM 2​023FUTURES TO 2​028BOUNDARY TRACED FROM THE ENGINE RUN · PRICE-ONLY VIEW, BEFORE SHIPPING AND VOLUME LOSSES
DECISION BOUNDARY IN JKM-TTF SPACE · HISTORY, FUTURES AND THE MAY 2​025 PRICE ALL SIT OUTSIDE THE EXERCISE REGION

Simulation lifts both books, one further.

03 · UNDER SIMULATION

Three thousand price paths, a thousand per volatility regime, each one re-optimised for both books. The base book rises above its forward value on its own; the Asia-Flex book rises further, and the gap between them is the option.

$0M$100M$200M204.8205.4+$0.6MLOW VOL205.8214.4+$8.6MREGULAR210.2223.4+$13.3MHIGH VOLBASE BOOKASIA-FLEX BOOKAT FORWARD: $188.9M IN BOTH BOOKSMEAN MC PROFIT $M · 1,000 IDENTICAL PATHS PER REGIME · PER-PATH RE-OPTIMISATION
EXACT MC MEANS: $204.8M / $205.4M (LOW) · $205.8M / $214.4M (REGULAR) · $210.2M / $223.4M (HIGH) · MEDIANS $201.0/$201.1, $198.3/$205.2, $209.1/$223.0

Volatility is what the right is worth.

04 · THE VALUE

The same clause is worth six hundred thousand dollars in a calm market and thirteen million in a stressed one, a factor of twenty. An option that looks worthless today is a volatility position, and conceding it in a negotiation gives away the part of the book that pays when planning gets hard.

$0M$5M$10M$15M$0.6M$0.03/MMBTULOW VOLATILITY$8.63M$0.39/MMBTUREGULAR$13.28M$0.60/MMBTUHIGH VOLATILITYMEAN FLEX VALUE PER VOLATILITY REGIME · 1,000 PATHS EACH · AT THE FORWARD CURVE: $0PER-MMBTU ON 22.2M MMBTU (6 X 3.7M) OF MATCHABLE DES-LONG CARGOES
EXACT ENGINE VALUES: $0.60M / $8.63M / $13.28M ABSOLUTE · $0.03 / $0.39 / $0.60 PER MMBTU · MEDIAN DIFFERENCE $0 IN ALL THREE REGIMES

How often the option actually fires.

05 · THE EXERCISE

Counting matched Asia cargoes per path shows the mechanics behind the averages. In calm markets the book rarely goes beyond two; regular volatility clusters at three to five; under stress the distribution shifts back towards two and three as the whole book is re-planned around the wider spreads. All six cargoes are never matched at once.

0%10%20%30%40%50%012345650.9%26.1%27.3%DES-LONG ASIA CARGOES MATCHED PER PATHLOW VOLREGULARHIGH VOL · SHARE OF 1,000 PATHSALL SIX CARGOES ARE NEVER MATCHED · EXACT ENGINE FREQUENCIES
EXACT FREQUENCIES · LOW VOL: 99.5% OF PATHS MATCH TWO OR FEWER · REGULAR: 65.4% MATCH THREE TO FIVE · HIGH VOL: 52.9% MATCH TWO OR THREE

06 · THE VERDICT

An option worth nothing at the curve is worth $8.6M in regular markets:
and $13.3M in stressed ones.

Extrinsic value is invisible to a forward-curve check and visible to a simulation. That difference decides whether a flexibility clause gets defended or traded away for free.

What the out-of-the-money right is worth.

07 · TAKEAWAYS

Zero at the curve is not zero

Both books earn exactly $188,895,430 at the forward curve and no Asia cargo is matched, so a static valuation prices the clause at nothing. Across simulations it is worth $8.6M in regular markets.

Volatility is the value driver

The same right is worth $0.6M under low volatility and $13.3M under high, $0.03 against $0.60 per MMBtu. Optionality pays precisely when the market becomes hard to plan for.

!

Price spreads alone misprice the option

The JKM-TTF decision boundary is only the starting point: shipping cost differentials, boil-off volume losses and vessel availability all move the exercise threshold, and exercising re-optimises the whole book. All six cargoes are never matched at once.

Modelled with X-LNG.

08 · THE TOOL

1

Your world goes in

Contracts, vessels, charter rates, prices, spot assumptions and constraints. The full book, not a slice.

2

One optimal plan comes out

Feasible, P&L-maximising and constraint-compliant, re-solved for every scenario in minutes.

3

Every number checks out

Each result can be recalculated by hand. Transparency your risk committee can audit.

CLOUD-BASED, ANY PORTFOLIO SIZE · BUILT AND ADVANCED DAILY BY ~25 MATHEMATICIANS, PHYSICISTS AND COMPUTER SCIENTISTS