Financial Mathematics Research | Hopkins Applied Mathematics & Statistics (2024)

Financial Mathematics is the field of applied mathematics that involves defining problems in finance and providing solutions using methods that draw from probability, statistics, differential equations, optimization, numericalmethods, and data science.

The primary emphasis in financial mathematics is the derivation of the mathematical models that confirm the intuition from financial economics. For example, the seminal case of the Black-Scholes-Merton model, and its many extensions such as stochastic volatility, pure jump processes, and collateral funding, is built around the no-arbitrage assumption and assumes as given the evolution of the stock price in order to find the prices of derivative securities.

The unifying premise for financial mathematics is more than just a collection of techniques applied to a common problem area. Rather, it quantifies and enables much of the modern interplay in global markets among companies, investors, and financial agents, often constrained or constructed by the actions of central banks, regulators and governments. Global financial institutions develop and provide products and services that are vital to the course of capital allocation, investment, and risk transfer. None of this could occur without the sophisticated approaches enabled by financial mathematics which have evolved over the past 25 years.

Financial Mathematics Research | Hopkins Applied Mathematics & Statistics (2024)

FAQs

What is financial mathematics and applied statistics? ›

Financial Mathematics is the field of applied mathematics that involves defining problems in finance and providing solutions using methods that draw from probability, statistics, differential equations, optimization, numerical methods, and data science.

What is applied mathematics in finance? ›

Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field.

What is the difference between applied statistics and applied mathematics? ›

Like a degree in applied mathematics, an M.S. in Applied Statistics focuses on addressing real-world problems. However, the approach taken is slightly different. Applied statistics degree programs will have a stronger focus on managing and preparing data for use in business, research and other organizations.

What mathematics is used in finance? ›

Financial Mathematics is the application of mathematical methods to financial problems. (Equivalent names sometimes used are quantitative finance, financial engineering, mathematical finance, and computational finance.) It draws on tools from probability, statistics, stochastic processes, and economic theory.

Is mathematical finance hard? ›

One thing that's for sure is the high amount of math you will need to study. Finance is a mathematical discipline, so if you aren't as comfortable with math as with other ways of thinking, you may find it more challenging. Additionally, finance also makes use of a vast, highly specific vocabulary.

Is financial mathematics a good major? ›

After becoming proficient in math, many students turn to mathematical finance because of its incorporation of statistics, risk management, and economic theory. In particular, majoring in Mathematical Finance can typically form a pathway towards becoming a data scientist, quantitative analyst, and Market Risk Analyst.

Is financial math easy? ›

Is the math hard in finance? When calculating the math with financial equations it is pertinent to know all characteristics to substitute into the formula. In order to use any formula, the principal, rate, and time are needed to help calculate overall interest. Thus, no calculating the math is not hard.

What is applied mathematics hard? ›

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge.

What can I do with a financial mathematics degree? ›

There are many rewarding career paths for financial mathematics majors, including financial planner, private wealth manager, investment manager (for a mutual fund, pension plan, or endowment), and actuary.

What kind of math is applied statistics? ›

Pure statistics focuses primarily on the numbers, math, and problems themselves. Applied statistics on the other hand, can be thought of as “statistics-in-action” or using statistics with an eye toward real-world problems and what their solutions might be. Statistics alone can be used pragmatically.

Do you need calculus for applied statistics? ›

Calculus teaches problem-solving and develops numerical competency, both skills that are important for statistics. In addition to this, a knowledge of calculus is necessary to prove results in statistics.

Is applied statistics worth it? ›

Greater Job Opportunities

A degree in applied statistics opens the door to a variety of careers in different industries, including finance, healthcare, education, marketing, and government, offering graduates a range of career paths to suit their skills and interests.

What is the most important math in finance? ›

Finance degrees will often cover more basic mathematical concepts such as algebra and statistics, as well as more industry-specific math courses such as probability and business mathematics.

Why is financial mathematics important? ›

Financial analysts often use mathematics to analyze market data, find patterns in data and predict risks. Financial risks can fall under these categories: Market risk: Market risk refers to financial risks in the company's target market, including market changes.

What is the difference between mathematical finance and financial mathematics? ›

Financial mathematics comes from math and research on mathematical concepts in the field of finance and economy, whereas mathematical finance denotes financial affairs which have a great tendency to use the mathematical methods.

What is financial mathematics in high school? ›

Financial Mathematics is a course about personal money management. Students will apply critical-thinking skills to analyze personal financial decisions based on current and projected economic factors.

What is financial mathematics at university? ›

This course provides the perfect blend of learning. We'll build your business and finance knowledge through real-world scenarios focusing on accountancy, financial modelling and economics, while underpinning this with a sound mathematics base in statistics, algebra and calculus.

What does mathematics and statistics do? ›

Mathematics and Statistics also provide a knowledge base for the study of subjects such as Physics, Geophysics, Chemistry, Economics (particularly Econometrics) and Finance and complement and support any other subject. Statistics students also learn how to use mathematical skills to make meaningful insights from data.

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