Master of Science in Financial Mathematics
              
                
                  | Duration 2 Years | Level Post Graduation | 
                
                  | Type Degree | Eligibility Graduation | 
              
              
              M.Sc Financial Mathematics or Master of Science in Financial Mathematics is a Post-Graduate Finance course. Financial Mathematics is a field of applied mathematics, concerned with financial markets. The subject has a close relationship with the discipline of financial economics, which is concerned with much of the underlying theory. Generally, Financial Mathematics will derive and extend the mathematical or numerical models suggested by financial economics.
The duration of the Master of Science degree program in Financial Mathematics is mostly two academic years but it may vary from institute to institute and maybe on a part-time basis by certain institutes. The syllabus of the Master of Science course in Financial Mathematics is divided into four semesters.
M.Sc Financial Mathematics Eligibility
- Aspiring candidates should have completed a B.Sc degree under any registered University with Mathematics as the main subject along with Physics, Electronics, Botany, Zoology, Chemistry, Biochemistry, Biotechnology, and Microbiology.
- The marks of admission for this course may vary from University to University.
- In various colleges and Universities, it conducts entrance exams plus interviews for admission.
M.Sc Financial Mathematics Syllabus
Syllabus of Financial Mathematics course as prescribed by various Universities and Colleges.
| M.Sc Financial Mathematics Semester-I | 
| Sr. No. | Subjects of Study | 
| 1 | Differential Equations 
Applications of Linear Second-Order Differential EquationsFirst Order Differential EquationsIntroduction to PDELaplace TransformsLinear Second-Order Differential EquationsSystems of Linear Differential Equations | 
| 2 | Fundamentals of Statistics | 
| 3 | Modeling and Simulation | 
| 4 | Mathematical Methods in Finance | 
| 5 | Multivariate Calculus and Mathematical Analysis 
Differentiation in Several VariablesLine IntegralsMultiple IntegrationsMaxima and Minima in Several VariablesSurface IntegralsVectorsVector-Valued Functions | 
| M.Sc Financial Mathematics Semester-II | 
| 1 | C Programming/Mathematical Software 
AlgorithmsMathematical Software | 
| 2 | Economic Analysis and Principals of Financial Management 
Economic AnalysisPrincipals of Financial Management | 
| 3 | Numerical Techniques in Finance 
Lattice MethodsMonte Carlo MethodsNumerical Solutions of Parabolic PDEsReview of Continuous-Time FinanceThe Binomial Tree | 
| 4 | Numerical and Combinatorial Optimization 
Dynamic programming and allocating investments MarKov chains and sequential decision makingNetworks and graph theoryLinear programming and the simple methodThe theory of gamesScheduling problems | 
| 5 | Stochastic Calculus and Black-Scholes Theory 
Black-Scholes TheoryStochastic Calculus | 
| 6 | Elective-I 
Applications of change of numeraire for option pricingCredit risk – probabilities of defaultContinuous-time limit of the binomial modelConstruction of martingale pricing measures by maximizing entropyEstimating Volatility Using ARCH ModelsMethods of designing pension schemesOptimal portfolios in the Heath-Jarrow-Morton modelStochastic differential delay equations in financeValuation of companies using Real Options Coherent Risk Measures | 
| M.Sc Financial Mathematics Semester-III | 
| 1 | Discrete-Time Modelling and Derivative Security 
Derivative SecuritiesDiscrete-Time Modelling | 
| 2 | Financial Risk Management | 
| 3 | Modeling of Bonds, Term Structure, and Interest Rate Derivatives 
Bonds and Term StructureInterest Rate Derivatives | 
| 4 | Portfolio Theory and Asset Allocation | 
| 5 | Time Series Analysis | 
| 6 | Elective-II 
Capital structureCopulas in financeConditional Value at RiskCredit risk – reduced form approachComplete market models implied by call optionsModeling credit risk – a structural approachMonte Carlo valuation of American-type derivative securitiesOptimal Investments Using Utility FunctionsSingle-factor short-rate models | 
| M.Sc Financial Mathematics Semester-IV | 
| 1 | Mathematical Finance Dissertation | 
| 2 | Project | 
| 3 | Elective-III 
Arbitrage pricing of mortgage-backed securitiesComputer simulations of interest rate modelsComputer implementation of finite-difference option pricing schemesImplied volatility, volatility smile, stochastic volatilityMicroscopic simulation of the stock marketPricing weather derivatives by utility maximizationStochastic backward equations in financeThe fundamental theorem of asset pricing and its extensions | 
 
M.Sc Financial Mathematics College
M.Sc Financial Mathematics Course Suitability
- The M.Sc course in Financial Mathematics is suitable for those who are willing to go for teaching fields at a higher degree level i.e., college and university levels both in private and government institutions.
- They should have skills like analyzing and interpreting the resultant data, finding patterns, and drawing conclusions.
- They also possess IT skills that are developed using computer applications to support the subjects they study.
- They possess the ability to approach problems in an analytical and rigorous way and to formulate theories and apply them to solve problems.
How is the M.Sc Financial Mathematics Course Beneficial?
- They can go for higher degree programs in respective subjects, e.g., a Ph.D. degree for further research studies.
- They can have jobs in accountancy and business services, banking, investment and insurance, government and public administration.
- They have a lot of jobs in the banking sector and in auditing areas.
- They can also become teachers/lecturers in schools/colleges on a private basis and after passing certain qualifications can become permanent teachers.
M.Sc Financial Mathematics Employment Areas
- Banks
- Brokerage Firms
- Coaching Centres
- Educational Institutes
- Insurance Companies
- Stock Exchanges
M.Sc Financial Mathematics Job Types
- Computer Programmer
- Demographer
- Economist
- Loan Officer
- Mathematician
- Researcher & Accountant
- Statistician
- Treasury Management Specialist
Advanced Course in M.Sc Financial Mathematics