Category: Finance & Banking Algorithms
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How Heath–Jarrow–Morton Algorithms Enforce No-Arbitrage Forward-Rate Dynamics: Volatility Surfaces, Drift Restriction, Factor Reduction, Simulation and Failure Tests
A mathematical guide to the Heath–Jarrow–Morton framework: forward-rate dynamics, the no-arbitrage drift restriction, factor reduction, discretisation, Monte Carlo checks, model limits and falsification tests.
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How Hull–White Calibration Algorithms Fit Short-Rate Dynamics to Yield Curves and Swaption Prices: θ(t), Mean Reversion, Volatility, Repricing Tests and Identifiability
A mathematical guide to Hull–White one-factor calibration: fitting the initial curve, calibrating mean reversion and volatility, building trees, testing repricing, diagnosing identifiability and understanding model limits.
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How Probability-of-Default Calibration Algorithms Turn Rating Grades into Long-Run One-Year PDs: Default Cohorts, Central Tendency, Conservatism, Overrides and Backtesting
A mathematical guide to calibrating one-year probabilities of default from rating grades: default cohorts, long-run averages, monotonicity, conservatism, overrides, backtesting, failure modes and validation.
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How Bank Branches Use Queueing Algorithms to Staff Service: Arrival Rates, Erlang C, Abandonment, Forecasting and Workforce Scheduling
A mathematical guide to bank-branch queueing: arrival and service rates, M/M/c and Erlang C, Little’s Law, abandonment, time-varying demand, skill routing, forecasting and staffing optimisation.
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How Credit Underwriting Models Learn from Accepted Applicants: Reject Inference, Selection Bias, Missing Labels, Policy Drift and Validation
A mathematical guide to reject inference and selection bias in credit underwriting: accepted-only labels, missing-not-at-random outcomes, augmentation, parceling, EM models, policy drift and validation.
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How Securitisation Waterfall Algorithms Allocate Cash and Losses: Tranches, Credit Enhancement, Prepayments, Defaults and Triggers
A mathematical guide to securitisation waterfalls: asset pools, tranches, seniority, scheduled cash flows, prepayments, defaults, credit enhancement, loss allocation, triggers and scenario simulation.
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How Securities Settlement Algorithms Move Trades from Execution to Finality: Matching, Affirmation, Netting, DVP, T+1 and Settlement Fails
A mathematical guide to securities settlement: matching, allocation and affirmation, netting, delivery-versus-payment, liquidity, T+1 timing, partial settlement, fails and verification.
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How Banks Forecast ATM Cash Demand and Replenishment: Seasonality, Time-Series Models, Service Levels, Inventory Costs and Routing Optimisation
A mathematical guide to ATM cash management: withdrawal forecasting, seasonality, safety stock, service levels, inventory costs, replenishment timing, clustering and route optimisation.
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How Banks Forecast Loan Delinquency and Cure: Roll Rates, Transition Matrices, Vintage Curves, Cure Rates and Recovery Workflows
A mathematical guide to loan delinquency forecasting: days-past-due states, roll rates, cure rates, transition matrices, vintage curves, hazard models, charge-offs, recoveries and model validation.