Spring 2015 Draft. MIT Sloan School of Management 15.438 -- Fixed Income Securities and Derivatives Spring 2015



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MIT Sloan School of Management 15.438 -- Fixed Income Securities and Derivatives Spring 2015 Professor Deborah Lucas E62-640 (o) 617.715.4816 (f) 617.258.6855 dlucas@mit.edu Overview Prerequisites Materials The global market for fixed income securities and their derivatives continues to grow and evolving at a rapid pace. This course is designed for students seeking to develop a sophisticated understanding of fixed income valuation and hedging methods and a basic familiarity with major markets and instruments. Tools for quantifying, hedging, and speculating on risk are emphasized. The skills acquired will be most useful for those planning a career in sales and trading, portfolio management, commercial banking, investment banking, or insurance. 15.401/15.411, 15.414 or 15.415 is required. 15.437 is highly recommended but not required. Students without that background may find that some topics require significant additional study time. Some valuation tools will be developed using Excel and Visual Basic. Students should be familiar with spreadsheets, and be prepared to learn to use some features of Visual Basic in spreadsheet applications. Class notes for each topic, related Excel spreadsheets and programs, and supplementary readings will be made available on Stellar or distributed in class. Homework assignments, additional practice problems and practice exam questions will also be posted on Stellar over the course of the term. It is important that you download and look over the class notes before class. They are an essential part of the course, and are intended to serve as a fairly comprehensive study guide along with the text. Required text: Fixed Income Securities; Tools for Today s Markets, (BTAS) by Bruce Tuckman and Angel Serat, 3 rd Edition, 2012, Wiley Finance. This book offers a concise, elegant, and practitioner-oriented presentation of most of the topics we will cover.

Cases and supplemental readings: There are several cases that will be used as the basis for class discussions and homework problems: (1) Deutsche Bank: Finding Relative-Value Trades; (2) Structured Credit Index Products and Default Correlation; and (3) Orange County, Value at Risk. An important supplemental reading is R. McDonald, Derivatives Markets, Chapter 26 Credit Risk. (The main text has limited information on this important topic.) Other supplemental readings are listed below and will be made available on Stellar. Grading Optional texts: Fixed Income Securities (FIS), Pietro Veronesi, 1 st Edition, 2010, Wiley. This book provides in depth and rigorous coverage of most of the topics covered, as well as many practical examples. I think most people will find the required textbook BTAS more accessible, but I ve included parallel readings from FIS on the syllabus for those who may prefer its more formal approach. The Handbook of Fixed Income Securities, by Frank Fabozzi, 8 th Edition, 2011, McGraw- Hill. This classic work (or an earlier edition) is an excellent source of descriptive material about markets, instruments and trading strategies. The final grade is based on three components: 1. (20%) Assignments: There are five assignments, each worth 4%. They can be completed individually or in groups. Only one copy per group should be submitted for grading. Assignments are due on or before the beginning of class on the date indicated, with no exceptions. 2. (30%) Midterm: Take home. 3. (45%) Final exam: Cumulative and in-class. 4. (5%) Class participation: Participation and attendance are important. Please have your name card out and be prepared to take an active part in class discussions. Group sizes for the assignments are limited to five people or fewer. Although you are not required to join a group, it is strongly recommended that you do so. Exams must be completed independently and within the allotted time. Only the specifically allowed materials may be used as reference materials for exams and nothing else. On the homework you can consult with any other current class members and refer to all class materials distributed this term. 2

Office Hours TBA (e-mail dlucas@mit.edu). TA office hours are TBA. Review Sessions and TAs Review sessions will be scheduled periodically throughout the term and before the exams; dates and times TBA. The TAs for the course are: Hong Ru <hongru@mit.edu> Hyungjune Kang <hj_kang@mit.edu> 3

Course Outline, Readings, and Deliverables Schedule of topics is subject to change. Reading should be completed in advance of class. All FIS readings are optional;"*" denotes an optional reading. Topic 1: Topic 2: Topic 3: Introduction, and Calculating Yields, Prices and Returns Course Overview Measuring and Calculating Yields, Prices and Returns Floating Rate Bonds Brief Intro to Yield Curves and Discount Functions Featured Market: U.S. Treasury Securities BTAS An Overview of Global Fixed Income Markets ; pp 47-49; Chapter 1; Chapter 2 (to pg. 74 and Appendices A and B); Chapter 3 (to pg. 105); FIS 1* (except 1.4); 2* (to page 60). Basic Fixed Income Tools I Duration and Convexity Duration and Convexity-based Risk Management Strategies BTAS pp. 119-121; Chapter 4; Chapter 5; Chapter 6* FIS 3* (to page 103); 4* (to page 142, and Appendix on PCA*) Homework #1 Basic Fixed Income Tools II More on Yield Curves and Strip Curves Forward Rates and Forward Curves Macroeconomic Models of Interest Rates and the Yield Curve Featured Market: The Money Market Discussion Case: Deutsche Bank: Finding Relative-Value Trades BTAS Chapter 2 pp 75-87, Appendices C, E, F. FIS 2* (pp 61-71); 5* (pp 154-162); 7* Homework #2 4

Topic 4: Forwards, Futures and Swaps Valuing Forwards and Futures Interest Rate Swaps Hedging Strategies Speculating on Spreads Currency swaps and Covered Interest Rate Parity Featured Markets: Repurchase Agreements and Interest Rate Futures BTAS Chapters 12; 13; 14; 15; 16 (through p. 450) FIS 1.4*; 5.2-5.8*; 6.1* Homework #3 due MIDTERM (covering topics 1 to 4) Topic 5: Topic 6: Options on Fixed Income Securities Options Basics Valuing Callable and Puttable Bonds on Binomial Trees Mortgage Prepayment Risk Valuing Caps and Floors Effective Duration and OAS Featured Market: Municipal Securities BTAS pp 201-205; Chapter 7; 8 FIS 6.2*; 9*; 10*; 11*; 12.1-12.2* Introduction to Continuous Time Models BTAS Chapters 9, 10, 11* FIS 14.1-14.3*; 14.4*, 15.1-15.2* Homework #4 5

Topic 7: Credit Risk Understanding and Modeling Credit Risk Credit Derivatives Featured Markets: Corporate Bonds and CDS Discussion case: Structured Credit Index Products and Default Correlation R. McDonald, Chapter 26 Credit Risk ; CreditMetrics Technical Document *; Corporate Default Study, * by Standard and Poors; Valuing Federal Loans and Loan Guarantees: The Effect of Risk*, CBO. Topic 8: In-class Final Securitization Value at Risk Securitization Basics Asset-backed Securities Mortgage-backed Securities Featured Market: The Mortgage Market FIS 3.8; 3.9*; 4.5; 8; 12.3; 13.1-13.3; 13.4-13.5*; 13.6; Excerpts from Fannie Mae Prospectus* Discussion case: Orange County, Value at Risk Available on Web at www.gsm.uci.edu/~jorion/oc/case.html Homework #5 6