LEARN THE MODEL.
CHALLENGE THE HEDGE.
Choose a track, keep the essential lesson visible, and open derivations or implementation only when you need the depth.
Probability, measures & pricing
A rigorous route from distributions and stochastic calculus through Black–Scholes, conditional expectation, Girsanov and forward-measure pricing.
View all 9 stages
Volatility
A sequenced path through measurement, option-implied coordinates, surface construction, dynamics, calibration and hedge risk.
View all 12 stages
Rates & curves
A sequenced rates path through conventions, overnight compounding, products, curve construction, multi-curve valuation, risk and no-arbitrage dynamics.
View all 13 stages
Numerical finance
Reproducible Monte Carlo, SDE schemes, variance reduction and transform pricing with visible error controls.
Greeks & hedging
Desk-unit Greeks, nonlinear cross-risk and a discrete hedging loop with explicit costs and residuals.
Risk & xVA
Portfolio exposure, counterparty and funding adjustments, tail metrics and the controls that make model outputs defensible.
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The existing typed catalog remains intact beneath the sequenced flagship curriculum.
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FX Spot
The exchange rate for near-immediate delivery between two currencies.
FX Forward
A future exchange rate implied by two funding curves.
FX Swap
Exchange currencies now and reverse the exchange later.
Garman-Kohlhagen
Black-Scholes adapted to domestic and foreign interest rates.
FX Delta Conventions
Premium-adjusted, forward and spot delta quotation choices.
Risk Reversal
Call-minus-put volatility at matched absolute delta.
Butterfly
A convexity quote combining wing and ATM volatilities.
FX Volatility Smile
Construct an FX smile from ATM, risk reversal and butterfly quotes.
Forward Points
Quote the forward-minus-spot adjustment implied by two currencies.
ATM Conventions
Define where at-the-money sits under pair-specific FX rules.
Premium-Adjusted Delta
Account for option premium in the hedge-ratio convention.
Smile Construction
Turn market quote coordinates into a strike-volatility curve.
FX Digitals
Price fixed cashflows conditional on an exchange-rate event.
FX Barriers
Add path-dependent trigger levels to FX option payoffs.
Dual-Currency Notes
Combine fixed-income cashflows with embedded FX optionality.
Quanto Effects
Value an asset payoff translated at a fixed exchange rate.
Triangular Arbitrage
Enforce consistency across three quoted currency pairs.
Cross-Currency Basis
Measure funding dislocations not explained by covered interest parity.