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Introduction to Financial Engineering and Risk Management · LearnSpace
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Introduction to Financial Engineering and Risk Management

Курс от Columbia University
Средний≈ 20 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Introduction to Financial Engineering and Risk Management course belongs to the Financial Engineering and Risk Management Specialization and it provides a fundamental introduction to fixed income securities, derivatives and the respective pricing models. The first module gives an overview of the prerequisite concepts and rules in probability and optimization. This will prepare learners with the mathematical fundamentals for the course. The second module includes concepts around fixed income securities and their derivative instruments. We will introduce present value (PV) computation on fixed income securities in an arbitrage free setting, followed by a brief discussion on term structure of interest rates. In the third module, learners will engage with swaps and options, and price them using the 1-period Binomial Model. The final module focuses on option pricing in a multi-period setting, using the Binomial and the Black-Scholes Models. Subsequently, the multi-period Binomial Model will be illustrated using American Options, Futures, Forwards and assets with dividends.

Навыки, которые вы освоите

DerivativesProbabilityProbability DistributionModel OptimizationFinancial ModelingApplied MathematicsFinancial MarketFinanceSecurities (Finance)Capital MarketsRisk ManagementMathematical ModelingRisk ModelingFutures Exchange

Программа курса

5 модулей · 87 учебных материалов

01Course Overview5 материалов

Course Overview

Course Overview ЧтениеAbout Us ЧтениеCourse OverviewВидеоAcademic Honesty Policy Чтение

Учитесь у экспертов

Garud Iyengar

Tang Family Professor

Ali Hirsa

Professor of Professional Practice

Martin Haugh

Associate Professor of Practice

Introduction to Financial Engineering and Risk Management
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Обучение на Coursera

≈ 20 ч

5 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Вьетнамский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

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Security Notice: Instructor Impersonation and Phishing ScamЧтение
02Pre-Requisite Materials29 материалов

Introduction to Probability Part I

Lesson SupplementsЧтениеLesson Resources ЧтениеPrerequisite Qualification 1: Probability (I)ЗаданиеDiscrete Random Variable and DistributionВидеоBayes' Theorem, Continuous Random Variable and DistributionВидеоConditional Expectation and VarianceВидео

Introduction to Probability Part II

Lesson SupplementsЧтениеPrerequisite Qualification: Probability (II), MartingaleЗаданиеMultivariate Distribution and IndependenceВидеоThe Multivariate Normal DistributionВидеоIntroduction to MartingaleВидеоMartingales Example 1Видео

Introduction to Probability Part III

Lesson SupplementsЧтениеPrerequisite Qualification: Brownian Motion, VectorЗаданиеIntroduction to Brownian MotionВидеоGeometric Brownian MotionВидеоVector: Independence and BasisВидеоVector: norm and inner ProductВидео

Introduction to Probability Part IV

Lesson SupplementsЧтениеPrerequisite Qualification: MatrixЗаданиеMatrix: Matrix OperationsВидеоMatrix: Linear Functions and RankВидео

Introduction to Optimization

Lesson SupplementsЧтениеPrerequisite Qualification: OptimizationЗаданиеLinear Optimization: Hedging ProblemВидеоLinear Optimization: DualityВидеоNonlinear Optimization: Unconstrained Nonlinear ProblemВидеоNonlinear Optimization: Largrangian MethodВидео
03Introduction to Basic Fixed Income Securities12 материалов

Basics of Fixed Income Securities

Lesson SupplementsЧтениеIntroduction to No-ArbitrageВидеоPresent Value of Cash FlowВидеоFixed Income InstrumentsВидео3.1 Self-Check Quiz Задание

Basic Fixed Income Instruments

Lesson SupplementsЧтениеFloating Rate BondsВидеоTerm Structure of Interest RatesВидеоForward Contracts: IntroductionВидеоForward Contracts: An ExampleВидео3.2 Self-Check Quiz Задание

Review

Introduction to Basic Fixed Income SecuritiesЗадание
04Introduction to Derivative Securities18 материалов

Swaps and Futures

Lesson SupplementsЧтениеSwapsВидеоFuturesВидеоHedging Using FuturesВидеоFutures ExcelВидео4.1 Self-Check Quiz Задание

Options and Options Pricing

Lesson SupplementsЧтениеOptionsВидеоProperties of OptionsВидеоIntroduction to Options PricingВидеоA Paradox ExampleВидео4.2 Self-Check Quiz Задание

The 1-Period Binomial Model

Lesson SupplementsЧтениеThe 1-Period Binomial ModelВидеоOption Pricing in the 1-Period Binomial ModelВидеоPricing Derivative Security int he 1-Period Binomial ModelВидео4.3 Self-Check Quiz Задание

Review

Introduction to Derivative SecuritiesЗадание
05Option Pricing in the Multi-Period Binomial Model23 материалов

The Multi-Period Binomial Model

Lesson SupplementsЧтениеThe Multi-Period Binomial ModelВидеоAn Example: 3-Period Binomial ModelВидеоWhat’s Going On?Видео5.1 Self-check Quiz Задание

Pricing American Options and Replicating Strategies

Lesson SupplementsЧтениеPricing American OptionsВидеоReplicating Strategies and Self-FinancingВидеоDynamic Replication and Risk-Neutral PriceВидео5.2 Self-check Quiz Задание

Dividends, Pricing in the Binomial Model, and the Black-Scholes Model

Lesson SupplementsЧтениеPricing with Dividends with Binomial ModelВидеоPricing Forwards and Futures with Binomial modelВидеоThe Black-Scholes ModelВидео5.3 Self-check Quiz Задание

An Example: Pricing a European Put on a Futures Contract

Lesson SupplementsЧтениеAn Example: Pricing a European Put on a Futures ContractВидео

Review

Quiz InstructionsЧтениеOption Pricing in the Multi-Period Binomial ModelЗадание

Assignment

Introduction to AssignmentЧтениеAssignment 1ЗаданиеSolutions to Assignment 1ЧтениеDiscussion of the Paradox in Pricing ModelsОбсуждение
Martingales Example 2Видео