Introduction to Financial Engineering

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Introduction to Financial Engineering What is Financial Engineering (FE)? The discipline of financial engineering includes applications of mathematical, statistical modeling and computational technology to problems in the financial industry and financial management of non-financial organizations. FE involves design and development of financial products, strategies, and systems to meet the needs of financial institutions, corporations, governments, and households.

Financial Engineering Application Areas Financial risk management for financial institutions, corporations, and public institutions (from hedging risks of individual transactions to enterprise-wide risk management systems) Derivative securities (contract design, pricing, market making, and investment, trading, and hedging applications) Modeling stochastic dynamics of stock prices, interest rates, foreign exchange rates, commodity and energy prices Asset/liability management technology for corporations, banks, pension funds Credit risk modeling and management and credit derivatives Energy industry and energy derivatives Real options: valuing businesses and strategic managerial decisions by applying option pricing technology

Some Factors that Drive the Growth of Financial Engineering Increasing Volatility of Global Financial Markets and the Need for Risk Management Volatility of equity prices, foreign exchange rates, commodity and energy prices, and interest rates increased dramatically over the past three decades Higher volatility increases risk (as well as more opportunities) Risk Management is crucial to the survival and competitiveness of organizations Global Nature of Financial Markets Multinational firms produce, market, and obtain financing globally Every multinational firm has significant risk exposures to foreign currencies, domestic and foreign interest rates, energy and commodity prices, and global equity prices

Information Technology Advances in information technology drive the growth of financial engineering. Real-time worldwide information and data collection, analysis, decision-making, and trading are made possible. Securities trading goes electronic and moves from exchange floors into cyberspace. Banks are the biggest users of information technology! Goals of this Course Provide an introduction to the field of financial engineering Develop theoretical foundations of financial engineering Study some of the most important products and applications of financial engineering Develop practical modeling skills

INTRODUCTION TO DERIVATIVES What is a Derivative? A derivative is a financial contract between two parties that specifies conditions in particular, dates and the resulting values of underlying variables under which payments or payoffs are to be made between the parties (payments can be either in the form of cash or delivery of some specified asset). Examples A Forward contract is a contract to buy some pre-specified underlying asset at a predetermined price (delivery price) on a specified date in the future. Call and Put Options A call option is a contract that gives its holder the right but not the obligation to buy some specified quantity of an underlying asset (e.g. fixed number of shares of stock of a particular company) at a

predetermined price (strike price) on or before a specified date in the future (option expiration). A put option is a contract that gives its holder the right but not the obligation to sell some specified quantity of an underlying asset (e.g. fixed number of shares of stock of a particular company) at a predetermined price on or before a specified date in the future. Underlying assets or variables in derivatives Stocks and stock market indexes Commodities (e.g., oil, gas, coal, gold, silver, aluminum, copper, corn, wheat, soybeans, paper) Bonds Interest rates Exchange rates Credit events (defaults) Economic variables (e.g., inflation)

There are two types of derivatives: Exchange-traded: Futures Options Over-the-Counter (OTC): Forward contracts Swaps CDS

The size of the global derivatives market The derivative market is huge: the notional outstanding value of derivatives is equal to several hundreds trillions US dollars and it is still growing! The notional outstanding value of OTC contracts (4Q 2009): $615 trillions FX contracts: $50 trillions Interest rate contracts: $450 trillions CDS contracts: $33 trillions Equity-linked: $6.5 trillions Commodity-linked: $3 trillions Exchange-traded (1Q 2010): Futures: $346 trillions Options: $168 trillions (Source: www.bis.org)

Types of Derivatives Traders Hedgers Objective: reduce risks they already face in the course of their business. Investors/Speculators Objective: profit from taking directional/speculative positions on the future market direction. Arbitrageurs Objective: find arbitrage opportunities to realize riskless profits.