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.
Explore every concept.
The existing typed catalog remains intact beneath the sequenced flagship curriculum.
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Discount Factors
Present value of one unit of currency paid at a future date.
Zero Rates
Single-period rates implied by discount factors.
Forward Rates
Rates implied today for borrowing over a future interval.
Yield Curves
Term structures linking maturity to discounting or yield.
OIS
Fixed-versus-compounded overnight indexed swaps.
FRAs
Contracts fixing a future simple interest rate.
Interest Rate Swaps
Exchange fixed coupons for floating-rate cashflows.
Curve Bootstrapping
Solve discount factors sequentially from market instruments.
Day Count Conventions
Convert calendar dates into contractual accrual fractions.
Compounding Conventions
Translate rates consistently across simple, periodic and continuous forms.
Multi-Curve Framework
Separate discounting from tenor-specific projection curves.
DV01
Measure value change for a one-basis-point rate shift.
Key-Rate Duration
Allocate curve sensitivity to selected maturity nodes.
Carry and Rolldown
Decompose expected horizon P&L with an unchanged curve.
Caps
Limit floating-rate payments through a strip of caplets.
Floors
Protect minimum floating-rate receipts through floorlets.
Swaptions
Grant the right to enter an interest-rate swap.
Short-Rate Models
Model the instantaneous funding rate to generate a term structure.
Hull-White
Use a mean-reverting Gaussian short rate fitted to today’s curve.
LMM
Model a family of market forward rates under linked measures.
Convexity Adjustments
Correct linear forward intuition when payoff and discounting are nonlinear.
Negative Rates
Handle rate distributions and quotation when strikes can cross zero.