Graduate Certificate in Finance and Markets


About the Certificate Program

Our fourteen-month Finance Certificate is designed to provide you with cutting-edge exposure or deepening of knowledge in the theories of finance and markets and their practical applications as used in day-to-date real-world situations in the financial industry. The Graduate Certificate in Finance and Markets is a comprehensive program designed to equip participants with a thorough understanding of various facets of finance. Spanning a duration of 10-14 months and offered online during weekends, the program covers essential courses that delve into corporate and development finance, structured finance, financial markets, fixed income analysis, derivatives, financial accounting, empirical techniques, financial mathematics, and a specialized finance paper. The certificate program includes the following courses:

Corporate and Development Finance

This course covers financial statement analysis, valuation, discounting, and capital budgeting. Evaluation of investment opportunities, project analysis, and decision-making on capital expenditures. The cost of capital sources and implications, optimal debt-equity mix, and dividend decisions. Risk-return in financial decision-making, corporate valuation techniques, financial planning, and strategic decision-making. Exploration of financial strategies and mechanisms, fostering economic growth and sustainable development in emerging economies. The role of financial institutions, public policy, and international collaboration in promoting inclusive and equitable development. Project finance, public-private partnerships, and impact investing by multilateral development organizations. Dynamics of development finance within the global context, analysis of case studies and emerging trends.

Structured Finance

This introductory course to the complex field of structured finance provides a comprehensive understanding of structured finance principles and applications. Participants will explore the creation and analysis of structured financial products, such as mortgage-backed securities, collateralized debt obligations, and asset-backed securities. The curriculum covers the big picture understanding of these complex instruments rather than mathematical intricacies, emphasizing risk assessment, credit enhancement strategies, and legal considerations. Participants develop the expertise needed to navigate the dynamic landscape of structured financial products and make informed decisions in this specialized field.

 Financial Markets and The Economy

This course explores the connection between financial markets and the broader economy and provides insights into diverse financial markets: equity, fixed income, foreign exchange, and derivatives, while scrutinizing their influence on economic variables. Delve into fundamental concepts like the transmission mechanisms of monetary and fiscal policies. Provides a thorough understanding of how financial markets work to propel economic activities. Covers risk management techniques, explore theories and recent examples of bank runs, systemic risk, and strategies for navigating market frictions and financial crises. Evaluate the crucial roles played by central banks, government policies, and regulatory frameworks in shaping the landscape of financial markets.

Fixed Income Analysis

Analysis of all sectors of the fixed income market from liabilities (issuer) and assets (holder) perspective. The use of interest rate swaps and currency swaps to manage interest rate risk and FX risk. Basis and carry trades. Treasury basis trades. Understanding the concept of cross-asset interconnectedness with the fixed income markets and their portfolio management implications. Interest Rate Swaps (IRS) and Currency Swaps (FX and XCCY) for magnifying fixed income returns.

Derivatives and Their Use in Hedging

Risk Management with derivatives and other risk-mitigating strategies. Practical understanding and uses of forwards, futures, options, and swaps to hedge risk in different asset class positions and as positions themselves to maximize returns. This course explores interest rate products, and arbitrage strategies. People who want to work in finance must take this course.

Financial Accounting

The course provides a comprehensive overview of fundamental accounting principles essential for understanding a company’s financial health. Participants will gain proficiency in analyzing financial statements and interpreting financial ratios. Through practical examples, students will develop the skills needed to assess a company’s financial performance and make informed business decisions. The course covers key topics such as the preparation of financial statements and interpretation of financial data.

Empirical Techniques in Finance

This course focuses on Applied Econometrics and Machine Learning Methods in Finance and teaches how to correctly “slam” financial markets data into standard statistical tools to produce appropriate insights that help financial managers to make decisions. Topics covered include relevant tools and techniques in econometrics and machine learning, understanding financial market data, and using empirical tools to analyze the data and extract insights. Programming in R, Python, and Matlab, etc

Financial Mathematics

This topic covers a more (mathematically) advanced level of financial assets and markets and provides students with a deep understanding of mathematical and numerical models used in financial securities pricing and risk estimation. Covering topics such as time value of money, annuities, loans, bonds, cash flows, portfolios, immunization, derivatives, options, swaps, and hedging. Students will learn financial concepts, instruments, mathematical models, and develop the ability to create models from scratch and apply them. Together with empirical techniques in finance, the financial mathematics course provides a balanced understanding of the latest advances in financial markets for those pursuing or wishing to pursue careers in finance, as it offers theoretical knowledge and practical learning.

Finance Paper

This is a full fledge finance paper in any area of finance. Each student will be mentored by our finance industry experts and academic finance faculty members to write an original paper that directly solves a non-trivial problem in finance.

After completing the certificate program, you will enjoy the following benefits:
    • A designated mentor to learn about skills and strategies for finding work in the finance industry.

    • A chance to join our pool of students who get supported to commence a PhD in finance at leading US universities

    • Develop the ability to confidently discuss advanced issues in finance-related topics

    • Learn how to use theoretical knowledge for practical application in finance

    • Develop cutting-edge presentation skills and ideas to navigate your career and grow your personal brand

Program Summary

Start Date Duration Classes Cost Minimum course to earn diploma Instructors Minimum scholarship available Maximum scholarship available
Whenever suitable 10-14 months, online Weekends $600 per course 4 Industry professionals + leading academics 10% discount 50% discount

How to apply

Click here………. and fill out the form

Email —– if you have questions

Note: This program is not the same as the economic theory, econometrics and mathematical economics. Students enrolled for that one do not have the liberty to start whenever it suits them; they must rigidly apply within the application window and cannot be accepted outside that window.

Certificate in Pure and Applied Mathematics

About the Certificate Program

The Certificate in Pure and Applied Mathematics (CPAM) is a comprehensive non-degree certificate program designed to provide students with a deep and versatile understanding of college-level mathematical principles and their real-world applications beyond elementary calculus. This program combines theoretical rigor with practical relevance and aims to offer a balanced curriculum that covers both pure mathematics and its practical applications across various fields. The emphasis is on students who need a year long mathematical preparation for the purpose of obtaining the relevant training and credential to excel in a PhD program in economics, finance and related quantitative fields in business and social sciences. It is also suitable for mathematics major who want to improve their skills in advanced level mathematics because they have become rusty over time. The program spans a duration of 7 to 12 months (2 to 3 semesters) and provides students with solid foundation in fundamental mathematical concepts and techniques, some of which are covered at honors level mathematics typically offered at a university mathematics degree program. The coursework emphasizes the application of mathematical theories to address issues in business and social sciences.

The program is structured to cultivate critical thinking, analytical skills, and the ability to approach complex problems with mathematical precision. Upon completion, participants will be equipped with a versatile skill set that opens doors to deeper mathematical reasoning and better graduate school opportunities. Whether pursuing further advanced studies or entering the industry, this certificate program has a solid track record and serves as a valuable credential to help you standout.

Taught by experienced faculty members with expertise in both pure and applied mathematics and assisted by brilliant teaching assistants, the program ensures a high-quality educational experience delivered online. The Certificate in Pure and Applied Mathematics is an excellent choice for individuals seeking a strong foundation in mathematics and its practical applications, which would offer them a steppingstone to a fulfilling and dynamic career in diverse fields.

The program includes the following courses:

Real Analysis

Methods of proof. Connectives, quantifier, validity of arguments. Properties of real numbers. Sequences and series. Real functions and continuity. Functions of a real variable. Riemann integral. Improper integral and convergence. Continuity of functions. Extension of real number system. Uniformly continuous function. Functions of bounded variation.

Functional Analysis

Normal linear spaces. Operators. Norm of quotient space. Linear operators on normal linear spaces. The Hahn-Banach, open mapping and closed graph theorems. Inner product spaces. Complete Orthonormal sets and relationship with Fourier series. Introduction to Banach Algebra.


Point set topology. Topological spaces, bases, sub-bases, continuity. Separation axioms, compactness and connectedness metric spaces.

Measure Theory and Integration

Lebesgue measure and measurable functions. Borel and Cantor sets. Lebesgue Integral for bounded and unbounded functions. Riemann vs. Lebesgue integral. Dominated and Monotone Convergence Theorem. Fatou’s Theorem. Elementary Lp(E)- spaces for measurable subsets.

Measure-Theoretic Probability Theory

Abstract probability spaces: sample spaces, sigma-algebras, probability measures. Random variables: distribution functions, discrete & continuous distributions. Expectations and Lebesgue integral. Modes of convergence. Functions of random variables, central limit theorem.

Linear Algebra

Matrices and system of linear equations. Elementary operations of matrices. Vector spaces, basis and dimension. Linear mapping, kernel and image of linear mappings and operators. Eigenvalue and Eigenvectors. Diagonalization and Eigenvectors. Inner product spaces. Cauchy-Schwartz inequality. Orthogonality, orthonormal sets.

Multivariable Calculus

Partial and total derivatives, multiple integration. Limits and continuity in several variables. Triple integrals and several differentials. Change of variables. Directional derivatives, gradient applications. Vector fields and surface integrals. Gradient Theorem. Green and Stokes Theorem.

Differential Equations

First order differential equations, higher order linear differential equations, boundary value and initial value problems, and applications of differential equations. Systems of linear first-order differential equations. First and higher order difference equations. Existence theorems. Solutions nearing singular points. Second order linear equations with periodic coefficients. Floquet’s theorem.


Number Theory, Computational Mathematics, Stochastic Calculus, and Theory of Special Mathematical Functions

After completing program, you will enjoy the following benefits:
    • Get a transcript and non-degree diploma as evidence that you completed the courses and earned grades

    • Earn recommendation letters from mathematics professors vouching for your ability (if you do well)

    • Develop high level mathematics skills to help you succeed at graduate school

    • Develop the ability to understand and follow theoretical papers that rely on high mathematical maturity

    • Gain mathematical maturity and the confidence to engage in mathematical discuss

Program Summary

Start Date Duration Classes Cost Minimum required course to earn the diploma Instructors Minimum scholarship available Maximum scholarship available
Whenever suitable 7-12 months, online Weekends $400 per course 5 Established university mathematics professors supported by brilliant TAs 20% discount 60% discount

How to apply

Click here………. and fill out the form

Email —– if you have questions

Note: This program is not the same as the economic theory, econometrics and mathematical economics. Students enrolled for that one do not have the liberty to start whenever it suits them; they must rigidly apply within the application window and cannot be accepted outside that window.