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Derivatives

Giuliano Curatola

This course covers standard derivative pricing models. Both discrete time and continuous time techniques are considered. The course also includes an introduction to numerical option pricing, in particular the Monte Carlo Method.

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This course covers standard derivative pricing models. Both discrete time and continuous time techniques are considered. The course also includes an introduction to numerical option pricing, in particular the Monte Carlo Method.

After this course, students should have a good knowledge of financial markets, security pricing, arbitrage, interest rates, risk and return. Contents:

1) Definition and classification of financial assets

2) Discrete-time pricing models

3) Continuous-time pricing models

4) Fixed income products

5) Monte Carlo methods for derivative pricing

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What's inside

Syllabus

Financial assets
By the end of this week you will learn: fixing some notation; describe the pay-off structure of financial assets; evaluate possible usages of derivatives (hedging, speculation).
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Discrete time models
By the end of this week, you will understand the replication of a payoff function, state prices and risk neutral probabilities. Additionally, you will learn how to compute option prices in discrete time models.
Continuous time models
By the end of this week, you will learn about stochastic processes and Itô's lemma, financial markets in continuous time, and option pricing in continuous time.
Pricing fixed income products: discrete time & continuous time
By the end of this week, you will learn how to compute the price of fixed income products.
Numerical methods for option pricing
At the end of this week, you will learn numerical computation of option prices.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Covers standard derivative pricing models used widely in industry
Provides a strong foundation in financial markets and derivative pricing for beginners
Includes numerical methods for option pricing, including the Monte Carlo Method
Provides insights into fixed income products, which are commonly used in finance
Requires a solid understanding of calculus and probability theory

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Activities

Coming soon We're preparing activities for Derivatives. These are activities you can do either before, during, or after a course.

Career center

Learners who complete Derivatives will develop knowledge and skills that may be useful to these careers:
Financial Analyst
Financial Analysts typically work for investment banks, hedge funds, and other financial institutions. They analyze financial data and make recommendations on investments. This course will help you develop the skills you need to succeed in this role, including financial modeling, valuation, and risk management.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data. They help investment managers make informed decisions about investments. This course will help you develop the skills you need to succeed in this role, including financial modeling, data analysis, and programming.
Portfolio Manager
Portfolio Managers are responsible for managing investment portfolios. They make decisions about which investments to buy and sell, and how to allocate assets. This course will help you develop the skills you need to succeed in this role, including financial modeling, portfolio management, and risk management.
Risk Manager
Risk Managers are responsible for identifying, assessing, and mitigating financial risks. They work for a variety of organizations, including banks, insurance companies, and investment funds. This course will help you develop the skills you need to succeed in this role, including financial modeling, risk assessment, and portfolio management.
Trader
Traders buy and sell financial instruments for their own account or for clients. They work for a variety of organizations, including banks, hedge funds, and proprietary trading firms. This course will help you develop the skills you need to succeed in this role, including financial modeling, trading strategies, and risk management.
Derivatives Trader
Derivatives Traders specialize in trading financial derivatives, such as options, futures, and swaps. They work for a variety of organizations, including banks, hedge funds, and proprietary trading firms. This course will help you develop the skills you need to succeed in this role, including financial modeling, derivatives pricing, and risk management.
Hedge Fund Manager
Hedge Fund Managers are responsible for managing hedge funds, which are investment funds that use advanced investment strategies to generate returns. They work for a variety of organizations, including banks, investment firms, and family offices. This course will help you develop the skills you need to succeed in this role, including financial modeling, portfolio management, and risk management.
Investment Banker
Investment Bankers provide financial advice to companies and governments. They help companies raise capital, merge with other companies, and acquire other businesses. This course will help you develop the skills you need to succeed in this role, including financial modeling, valuation, and negotiation.
Actuary
Actuaries use mathematical and statistical models to assess financial risks. They work for a variety of organizations, including insurance companies, pension funds, and consulting firms. This course will help you develop the skills you need to succeed in this role, including financial modeling, risk assessment, and data analysis.
Financial Planner
Financial Planners help individuals and families plan for their financial future. They provide advice on investments, retirement planning, and estate planning. This course will help you develop the skills you need to succeed in this role, including financial planning, investment advice, and retirement planning.
Insurance Agent
Insurance Agents sell insurance policies to individuals and businesses. They help clients assess their risks and choose the right insurance coverage. This course will help you develop the skills you need to succeed in this role, including sales techniques, insurance products, and risk assessment.
Loan Officer
Loan Officers evaluate loan applications and approve loans. They work for a variety of organizations, including banks, credit unions, and mortgage companies. This course will help you develop the skills you need to succeed in this role, including financial analysis, credit analysis, and loan structuring.
Accountant
Accountants prepare and maintain financial records. They also provide financial advice to individuals and businesses. This course will help you develop the skills you need to succeed in this role, including financial accounting, auditing, and tax preparation.
Auditor
Auditors examine financial records to ensure that they are accurate and compliant with regulations. They work for a variety of organizations, including accounting firms, government agencies, and corporations. This course will help you develop the skills you need to succeed in this role, including auditing procedures, financial accounting, and risk assessment.
Tax Preparer
Tax Preparers prepare tax returns for individuals and businesses. They help clients minimize their tax liability and ensure that they comply with tax laws. This course will help you develop the skills you need to succeed in this role, including tax law, tax preparation, and tax planning.

Reading list

We've selected eight books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Derivatives.
Provides a rigorous and comprehensive treatment of the theory and practice of financial derivatives. It covers a wide range of topics, including pricing models, risk management, and applications in various financial markets.
Provides a comprehensive overview of fixed income securities. It covers a wide range of topics, including valuation, risk management, and applications in various financial markets.
Provides a comprehensive overview of Monte Carlo methods and their applications in financial engineering. It covers a wide range of topics, including option pricing, risk management, and applications in various financial markets.
Provides a comprehensive overview of options, futures, and swaps. It covers a wide range of topics, including pricing, hedging, and applications in various financial markets.
Provides a comprehensive overview of financial risk management. It covers a wide range of topics, including risk measurement, risk management techniques, and applications in various financial markets.
Provides a comprehensive overview of derivatives and risk management. It covers a wide range of topics, including pricing, hedging, and applications in various financial markets.
Provides a comprehensive overview of risk management and financial institutions. It covers a wide range of topics, including risk measurement, risk management techniques, and applications in various financial markets.
Provides a comprehensive overview of financial derivatives. It covers a wide range of topics, including pricing, hedging, and applications in various financial markets.

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