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Mathema Options Calculator
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Knowledge Base
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知识库
Catalog
Alex's Enterprise Forex Column
Enterprise Cross-Border Financing Arbitrage Practical Guide: The Closed-Loop Model of Internal Guarantee External Loan + Rate Locking and Certificate of Deposit Pledge + Working Capital Loan
Enterprise Exchange Rate Risk Management Business Operation Guide: Practical Application of Macroeconomic Signals - Exposure Alerts - Strategy Matching
Forex Hedging Optimization Loop: Strategy Planning - Execution Implementation - Performance Review
Optimizing Enterprise Settlement Exchange Rates: A Practical Guide to the Step-Ladder Hedging + Dynamic Rebalancing Model
Basic
Credit
A Step-by-Step Guide to Calculating Credit Valuation Adjustment (CVA, DVA, BCVA)
信用曲线怎么建:债券利差、CDS 与违约概率
Fixedincome
Bond classification
Bond Option Pricing Principles
Bond Riding the Yield Curve Strategy
Calculation of Indicators under the Three Classifications of Bond Trading Accounting
Cap/Floor Volatility Surface Construction
Carry and Roll-down of Interest Rate Swaps
Hyperbolic Framework: OIS Discounting + IBOR Forward Rates
Interest Rate Caps & Floors
Interest Rate Swaptions (Swaption)
Practical Implementation and Modeling of Swaption Cube Construction
SOFR Curve Construction Methodology: Instruments, Process, and Practice
中国可转债:强赎、回售、下修与转股价值
Glossary of Structured Products
Autocallables
Autocallables - CSI500
Autocallables - EURUSD
A股雪球:敲入、敲出、锁定期与 LocalVol 蒙特卡洛
Calculation of Greeks for Cross-Asset Structured Derivatives
Digital Structure (Digitals)
Double No Touch
Dual Sharkfin
EUR/USD Daily Observation Discrete Double No-Touch Option
Extracting Implied Forward and Implied Dividend Curves from the Options Market: Theory and Practice
Foreign Exchange-Linked Option Transaction ("Transaction")
Foreign Exchange-Linked Option Transaction (Call Spread)
Mathema(MCPx) Structured Derivatives Product Definition and Payoff Script Usage Guide
Meridian MCPx - OTC Derivatives Pricing and Valuation Module Introduction
Range Accrual
RMB-Linked EUR/USD Daily Observation Discrete Range Accrual Option
Single Touch
Single-Way Sharkfin
凤凰、气囊与累计器:零售结构化产品谱系
Pricing
American Options
Application of Partial Differential Equations (PDEs) in Option Pricing
Asian Options
Barrier Options
Basic Concepts of Interest Rates
Binomial Tree Model: Principles, In-Depth Research, and Applications
Black-Scholes Model
Brownian Motion and Wiener Process
Business Day Conventions
Calculation and Application of Historical Volatility: Models and Comparisons
Calculation and Models of Financial Asset Correlation
Calibration Process of the Dupire Model
Concepts Related to Normal Distribution
Construction of the FX Options Volatility Surface
Definition of Standard Interbank Option Structure Volatilities
Definition Rules for Buy/Sell Directions in Option Combinations
Detailed Explanation of the Vanna-Volga Pricing Method
Digital Options
Foreign Exchange Options Greeks (Greek Letters) Complete Guide
Fourier Transform
How to Calculate Cross Currency Pair Exchange Rates?
How to Calculate Cross-Currency Pair Volatility?
Hull-White Model and Its Extensions: Theory, Applications, and Multi-Factor Models
Interest Calculation Rules
Interest Rate Curve Construction: Building Interest Rate Curves Using the Bootstrapping Method
Interest Rate Types
Interpolation
Local Volatility Models
Local-Stochastic Volatility Models (LSV Models)
Mean variance and standard deviation
Normal vs. Lognormal Volatility
Parametric Curve Construction Models and Applications
Pricing Callable and Putable Bonds Using the Black-Derman-Toy Model
Pricing Theory for Range Accrual Options Based on the Trinomial Tree Model
Quanto Adjustment
Random Number Generation
Stochastic Volatility Models
Summary of Foreign Exchange Option Rules
The SABR Model and Its Application in Constructing Foreign Exchange (FX) Smile Curves
The SVI Model and Its Application in Constructing Foreign Exchange (FX) Smile Curves
The Vanna-Volga Model and Its Application in Constructing Foreign Exchange (FX) Smile Curves
Trinomial Tree Model: An Efficient Numerical Method for Option Pricing, In-Depth Research, and Applications
Valuation of Digital Options via European Option Replication
Volatility Surface Construction Models
交叉货币远期与 XCCY Basis:从利率平价到基差调整
结构化产品该用哪条波动率:HistVol / ImpliedVol / LocalVol / SLV
美式期权:从 BAW 近似到 Longstaff-Schwartz
障碍期权 Smile 下的价格连续:KI / KO 与 Vanna-Volga
Publications
Risk
从单笔定价到组合估值:历史模拟 VaR 与情景重估
市场数据快照与就绪检查:脏数据如何让估值看起来对、其实错
Strategy
Analysis of Curve Spread, Basis, and Butterfly Strategies in Interest Rate Swap Trading
Attribution Analysis in Bond Trading
Position and Cash Flow Management of Interest Rate Swaps: A Comprehensive Analysis Using 4.2 Years as an Example
RMB Foreign Exchange and Foreign Exchange Option Arbitrage Strategies
The Concept of Key Rate Duration and Its Application Exploration in China's Fixed Income Market
Toolbox
In-Depth Analysis: Construction of EURUSD Option Volatility Surface, Pricing, and Greek Calculations in Murex System – A Comparative Study with MCPx and Bloomberg
Volatility Surface Construction - Validation Logic Explanation
Vanilla
American Option
Asian Option
Barrier (European)
Digital Option(European)
Enterprise Exchange Rate Market Risk Management Strategy
European Options
Foreign Exchange Asian Options
Foreign Exchange Asian Options – Pricing Principles
Meridian Asian Options Solution
Structured Products for Exchange Rate Hedging – Average Forward
Structured Products for Exchange Rate Hedging – Capped Forward
Structured Products for Exchange Rate Hedging – Floor Forward
Structured Products for Exchange Rate Hedging – Forward Extra
Structured Products for Exchange Rate Hedging – Range Forward
Structured Products for Exchange Rate Hedging – Ratio Forward
Structured Products for Exchange Rate Hedging – Seagull Forward
Structured Products for Exchange Rate Hedging – Zero-Cost Collar
Valuation of Forex Spot/Forward/Swap and Forex Options
Welcome to the help page of Mathema Options!
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Construction of the FX Implied Volatility Surface
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Historical Volatility Models