Learn / foundations and risk

Learn volatility surfaces from first principles.

Start with the meaning of implied volatility, see how one expiry becomes a smile and many expiries become a surface, then interpret term structure, skew, curvature, and option sensitivities.

Reading paths

Choose the outcome you need.

Conceptual order

Read the collection in a useful sequence.

Order here reflects prerequisites and learning outcome, not publication date.

01 / Concept guide

What is implied volatility?

A practical implied volatility guide for Bitcoin, Ethereum, and crypto options: model inversion, IV smiles, SVI surfaces, risk reversals, and live monitoring.

Audience
trader / quant / general
Updated
Outcome
Invert an option price conceptually and identify the market inputs and solver checks needed before trusting the resulting IV.
What is implied volatility?

02 / Concept guide

What is a volatility smile?

A practical volatility smile guide for Bitcoin, Ethereum, and crypto options: implied volatility by strike, skew, wings, SVI fitting, RR25, BF25, and surface monitoring.

Audience
trader / quant / general
Updated
Outcome
Identify ATM level, skew and wing curvature on one expiry and explain how quote quality can distort each part.
What is a volatility smile?

03 / Concept guide

What is a crypto options volatility surface?

Learn what a crypto options volatility surface is, how BTC and ETH smiles become SVI surfaces, and what Derivasys shows in a live dashboard and API state.

Audience
trader / quant / engineer / general
Updated
Outcome
Trace individual option marks into expiry smiles and then into a term structure with visible fit and freshness diagnostics.
What is a crypto options volatility surface?

04 / Concept guide

What is forward volatility?

A practical forward volatility guide for Bitcoin, Ethereum, and crypto options: forward variance formula, term-structure examples, surface monitoring, and dashboard usage.

Audience
trader / quant
Updated
Outcome
Calculate a forward-volatility bucket from two total-variance points and recognise when an apparent jump is a bad-input warning.
What is forward volatility?

05 / Concept guide

What are variance swaps?

A practical variance swap guide for crypto options: realized variance payoff, variance strike, option-strip replication, total variance, and surface workflow.

Audience
trader / quant
Updated
Outcome
Interpret a variance-swap payoff and identify the strike coverage and surface controls required for a defensible variance estimate.
What are variance swaps?

06 / Concept guide

Sticky strike vs sticky delta

A practical sticky strike vs sticky delta guide for crypto options: forward shocks, SVI moneyness, delta buckets, API labels, and dashboard scenario workflows.

Audience
trader / quant
Updated
Outcome
Distinguish sticky-strike and sticky-delta shocks and choose the convention that matches a strike-level or risk-bucket question.
Sticky strike vs sticky delta

07 / Concept guide

What is a 25-delta risk reversal?

Learn the 25-delta risk reversal formula: call implied volatility minus put implied volatility, and how RR25 reads options skew across crypto expiries.

Audience
trader / quant
Updated
Outcome
Calculate RR25 and determine whether calls or puts are trading richer under the stated sign convention.
What is a 25-delta risk reversal?

08 / Concept guide

What are flies in options volatility?

A practical guide to options volatility flies: average 25-delta wing IV minus ATM IV, smile curvature, BTC examples, and live BTC and ETH risk-node monitoring.

Audience
trader / quant
Updated
Outcome
Calculate a 25-delta fly and separate wing richness from the signed skew measured by a risk reversal.
What are flies in options volatility?

09 / Concept guide

What are option Greeks?

A practical option Greeks guide for crypto options: delta, gamma, vega, theta, rho, surface inputs, SVI smiles, and dashboard risk workflows.

Audience
trader / quant / general
Updated
Outcome
Interpret delta, gamma, vega and theta while recognising which values depend on the selected smile and forward state.
What are option Greeks?