题目列表
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American Put Pricing via Longstaff-Schwartz Least-Squares Monte Carlo
Arithmetic-average Asian Call MC Pricing with Antithetic Variates
Geometric-average Asian Call: Closed-form Black-Scholes Pricing
Bachelier (Normal) Implied Vol from a Quoted Call
Up-and-out Barrier Call MC Pricing with Daily Monitoring
Bermudan Put on a CRR Tree with Selective Early-Exercise
Leftmost Index via Binary Search (bisect_left)
Periodic Yield To Maturity of a Fixed-Rate Coupon Bond via Bisection
Brownian Bridge Running Minimum Survival Probability
Black-Scholes Delta for Batched Calls and Puts
Black-Scholes European Call and Put Pricing in Batch
Black-Scholes Implied Vol from a Quoted Call or Put via Newton-Raphson
Detect Butterfly-Arbitrage Violations on a Call-Price Strike Grid
Cash-or-Nothing Digital Call: Closed-form Black-Scholes Pricing
Periodic IRR of an Equally-Spaced Cashflow Stream Under the Standard-Project Assumption via Bisection
CIR Short-Rate MLE Calibration on a Historical Series
Locally-capped Cliquet Call MC Pricing with Antithetic Variates
Win-Count Leaves on a Forward Scenario Tree
Recursive Binary Decision-Tree Evaluator
Deepest No-Drawdown Leaf on a Forward Scenario Tree
Digital Cash-or-Nothing Call Monte Carlo with Antithetic Variates
Double-No-Touch Pricing via Antithetic-Variate Monte Carlo
Fixed-strike Lookback Call MC Pricing with Discrete Monitoring
Single-Sigma Black-Scholes Calibration to a Strike Grid
Heston Calibration Residual in Implied-Vol Space
Black-Scholes Implied Volatility on a Strictly Increasing Price Curve via Bisection
Implied Volatility with Newton + Bisection Fallback
Newton-Raphson Implied Volatility from a Quoted Call
Vega-Weighted Average Implied Volatility Across a Strike Grid
Importance Sampling for Deep OTM Monte Carlo
Black-Scholes Call Implied Vol via Brent's Method (scipy.optimize.brentq)
Batch IV Pre-Flight — No-Arbitrage Bracket Classifier
Black-Scholes Put Implied Vol via Bisection
Merton Jump-Diffusion European Call via Monte Carlo
Leisen-Reimer Binomial Tree for European Options
Semi-Analytic Call Price on the Max of n iid Lognormals
Earliest Second Where the Algo Hits Its Volume Target Without Tripping the Slippage Cap
Minimum Constant Maker Fill-Rate to Meet a Parent-Order Deadline Under Per-Minute Supply Caps
Calibrating the Minimum Leverage Cap for a Target Risk Budget
Largest Uniform Collateral Haircut Covering a Liability via Bisection
Smallest Router Count under a BFD Load-Cap Assigner via Bisection
Smallest Slippage Cutoff Meeting a Target Absolute Weighted Cost via Bisection
Minimum Spread Tolerance for Target Fill Rate
Smallest Stress Severity Factor Where a Counterparty First Breaches Its Cap
Minimum Tickers for Liquidity Coverage
Smallest Slice Length Whose Every Window Meets a Volume Target
Multi-Level Monte Carlo for a European Call
Greek-Attribution P&L Explain with Residual Diagnostic
Probability of Reaching a Target Leaf Set on a Binary Scenario Tree
Present Value of a Post-Default Recovery Cash-Flow Stream
Best-of-N Rainbow Call MC Pricing with Cholesky and Antithetic Variates
Range-Accrual Note Pricer via Daily-Monitoring MC with Antithetic Variates
Recursive Walk Down a Hierarchical Rebate-Tier Tree
Per-Node Conditional Expected Leaf Payoff on a Scenario Tree
Hagan SABR Implied Lognormal Vol from Parameters
Calibrate SABR Volvol (alpha, rho, nu) to a Smile
Worst-Case Leaf PnL on a Risk-Officer Scenario Tree
European Call MC with Stratified Sampling on Terminal Z
Svensson (1994) 6-Parameter Yield-Curve Fit
SVI Slice Fit with No-Butterfly-Arbitrage Constraint
Fit SVI Parameters to a Single Expiry Slice
Up-and-In Barrier Call: Closed-form Reiner-Rubinstein Pricing with Rebate
Vasicek MLE Fit from a Short-Rate Series
Vasicek Short-Rate MLE Calibration on a Historical Series
Detect Calendar-Arbitrage Violations on an Implied-Vol Surface