YTM - Pricing a Zero Coupon. Indirection, Polymorphism, Data Abstraction -How to handle a heterogeneous mix? -Coupon-bearing -Zero Coupon -What does data-driven.

Slides:



Advertisements
Similar presentations
Introduction Greeks help us to measure the risk associated with derivative positions. Greeks also come in handy when we do local valuation of instruments.
Advertisements

Review of Time Value of Money. FUTURE VALUE Fv = P V ( 1 + r) t FUTURE VALUE OF A SUM F v INVESTED TODAY AT A RATE r FOR A PERIOD t :
The Term Structure of Interest Rates. The relationship between yield to maturity and maturity. Information on expected future short term rates (short.
Treasury bond futures: pricing and applications for hedgers, speculators, and arbitrageurs Galen Burghardt Taifex/Taiwan 7 June 2004.
Lecture 11. Topics  Pricing  Delivery Complications for both  Multiple assets can be delivered on the same contract…unlike commodities  The deliverable.
Bonds Add in bond interest ex from book. Bonds Unit 7 - Investing.
Bond Yields Fixed Income Securities. Outline Sources of Return for a Bond Investor Measures of Return/Yield Nominal Yield Current Yield Yield to Maturity.
BUS424 (Ch 3) 1 Yield, Total Return, and Reinvestment Risk 1. Internal rate of return 2. Yields to maturity 3. Other Yields Current yield Cash flow yield.
1 Applying Duration A Bond Hedging Example Global Financial Management Fuqua School of Business Duke University October 1998.
Bond Price Volatility Zvi Wiener Based on Chapter 4 in Fabozzi
Understanding Interest Rates
Method 3: Pricing of Coupon Bond Pricing of coupon bond without knowing the yield to maturity.
Finance Computing Projects - Dec 7 Second and final Quiz on MMM Requirements questions answered Final instructor evaluation Class feedback: How could this.
Upcoming deliverables for remainder of semester - to Dec 14 Nov 18th (Wednesday): “book” data file will be uploaded to class site –A second file will contain.
Bonds Money comes from 3 sources: 1.Debt 2.Common Stock 3.Preferred Stock.
Enhancements for server-side Price to Yield - will need to add a root finder –High yield bonds are not usually spread-priced. –We still want to know what.
YTM - Frequency Parameterized. YTM - Pricing a Zero Coupon.
Now we build a server from our executable Server-side: –Executable –Heavyweight process that stays up –Library (e.g, excel add-in) –Add a message set (will.
Credit Risk - Market Risk Credit Risk is the risk of the other side not paying! How do we typically measure it? How do we manage it? –Pledged collateral,
Deliverables for Oct 5 -Download our “living spec” prototype spreadsheet (ytm_sheet.xls). -Commence working as teams -9 students divided into 4 teams of.
Review of the Major Risk Types Market Risk –Sensitivity to the parameters of our pricing functions Credit Risk –Probability that the other side fails to.
Yield To Maturity Formula
Bonds are typically priced “relative” Generally: Lower quality is priced relative to higher quality Lower liquidity is priced relative to higher liquidity.
Introduction to Credit Risk Credit Risk vs Market Risk Credit Risk is the risk of the other side not paying! This is a “default”… –Failure to pay an interest.
Our market “risk” Measure Position adjusted sensitivity using 1 basis point change Example of “bond risk”: Price (pv): (that’s a total amount.
VI: Debt Market Instruments 19: Corporate Bonds. Chapter 19: Corporate Bonds © Oltheten & Waspi 2012 Corporate Bonds  Risk Structures  Convertibles.
Chapter 8 Valuing Bonds. 8-2 Chapter Outline 8.1 Bond Cash Flows, Prices, and Yields 8.2 Dynamic Behavior of Bond Prices 8.3 The Yield Curve and Bond.
Copyright © 2012 Pearson Prentice Hall. All rights reserved. CHAPTER 3 What Do Interest Rates Mean and What Is Their Role in Valuation?
Yield Curves and Term Structure Theory. Yield curve The plot of yield on bonds of the same credit quality and liquidity against maturity is called a yield.
An Introduction to Bonds Tina Horvath. What is a Bond? w Debt instrument: When one purchases a bond, one essentially lends an organization such as the.
Fixed Income. Downloads  Today’s work is in: matlab_lec09.m  Functions we need today: ycurve.m  Datasets we need today: data_bonds.m.
Valuing risky debt The story teller makes no choice, soon you will not hear his voice. His job is to shed light and not to master. – Garcia, Hunter.
 A databases is a collection of data organized to make it easy to search and easy to retrieve in a useful, usable form.
Python File Handling. In all the programs you have made so far when program is closed all the data is lost, but what if you want to keep the data to use.
6-0 The Valuation of Bond using DCF. 6-1 The Size of Bond vs. Stock Markets Daily trading volume of US stock markets: $10 billion Treasury Bond : $300.
Options, Futures, and Other Derivatives, 5th edition © 2002 by John C. Hull 23.1 Interest Rate Derivatives: Models of the Short Rate Chapter 23.
Bonds A.P. Macroeconomics Ms. McRoy-Mendell. Bond Basics  Up to this point, we've talked about bonds as if every investor holds them to maturity.  In.
Discussion of “Banks’ Risk Exposures” by Juliane Begenau, Monika Piazzesi and Martin Schneider October 11, 2013 Cambridge MA Macroeconomic Financial Modeling.
Risk Management Exercises. Exercise Value at Risk calculations.
Present Value Four Types of Credit Instruments
Fixed Income Basics - part 2 Finance 70520, Spring 2002 The Neeley School of Business at TCU ©Steven C. Mann, 2002 Forward interest rates spot, forward,
1 Debt Valuation Topic #2. 2 Context Complete Markets Bonds  Time Value of Money  Bond Valuation Equity Derivatives Real Estate.
Chapter 5 part 2 FIN Dr. Hisham Abdelbaki FIN 221 Chapter 5 Part 2.
TRADING STRATEGIES FOR DEBT MARKET T Ramji
1 Interest Rate Risk Part 2, Convexity. 2 Convexity Empirical evidence shows that duration works well in estimating the percent change in value of relatively.
Bond Prices and Yields. Two basic yield measures for a bond are its coupon rate and its current yield.
The Term Structure of Interest Rates Chapter 11. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall 2 The Yield Curve Relationship between.
Fixed Income Analysis Week 4 Measuring Price Risk
Yield To Maturity Formula
Bond Valuation and Risk
We will have to support a mix of instrument types to support aggregate measures E.g., risk on a book of bonds 3 general classes of fixed income security.
Introduction to Credit Risk Credit Risk vs. Market Risk Credit Risk is the risk of the other side not paying (all or part)! This is a “default”… –Failure.
Options, Futures, and Other Derivatives, 4th edition © 1999 by John C. Hull 21.1 Interest Rate Derivatives: Models of the Short Rate Chapter 21.
Bond Price Volatility. Price Yield Relationship Recall the earlier discussion… –Inverse relationship between Price and Yield Price Yield.
Fixed Income terminology Present Value/Future Value Principal and Interest Periodic cash-flows (usually semi-annual) Compounding rate (usually semi-annual)
FIXED INCOME MANAGEMENT1 MEASURING YIELD. FIXED INCOME MANAGEMENT2.
Quiz 1 – Mythical Man-Month Chapters 1-6. Topics for today Review our market risk measure Review units Negative position amounts – shorting Relative Pricing.
McGraw-Hill/Irwin Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 15 The Term Structure of Interest Rates.
Chapter 5 :BOND PRICES AND INTEREST RATE RISK Mr. Al Mannaei Third Edition.
Now we build a server from our executable Server-side: –Executable –Heavyweight process that stays up –Add a message set (will be driven by our GUI requirements)
Aim: Why should/shouldn’t you invest in bonds?
VI: Debt Market Instruments
Chapter 8 Valuing Bonds.
Credit Cards UPC Codes.
Measuring Default Risk from Market Price
Notes for Final Submission
Bonds and Their Valuation Supplement
Fixed Income Securities and Debt Markets
Credit Default Swaps at FAB Part 2:
Credit Default Swaps at FAB Part 2:
Presentation transcript:

YTM - Pricing a Zero Coupon

Indirection, Polymorphism, Data Abstraction -How to handle a heterogeneous mix? -Coupon-bearing -Zero Coupon -What does data-driven mean? -Pricing function signature -Data-file “schema” -Is-a, Has-a, Uses… -Envelope/letter -Memory management -Collection requirements: -Searching -Totals -Partitioning

Deliverables for Oct 18 -Build in support for a “Zero Coupon” Bond -Build a Trading Book collection class to handle a heterogeneous mix of types… -Possible “collectable” abstractions: -Instrument -Calculator -Bond -Criteria for class design: separately testable -Best way to use the SBB_io class data? -Inherit? Contain? Use? (“is-a”, “has-a”, “uses”…) -Load in new a data file to test an expanded portfolio of bonds (coupon-bearing and zero-coupon) -How to discern bond type from external persistent store?

Deliverables for Oct 18 continued… -Download new version of data input file -New data items which will have to added in SBB_io class: -Ticker (unique ID that identifies the issuer of that bond) -Amount (this is the total position for that bond, in thousands) -Quality code (the credit rating for that issuer - we will use this later) -You will have to add a convenience mf() for our ndustry standard identifier: “Ticker Coupon Maturity” (just a concatenation of existing fields) -Using trading book collection class to calculate: -Total position -Positive amounts are “long”, negative amounts “short” -For example, if you two positions in a trading book (1 long position of 1MM and 1 short position of 1MM), then you would be “flat” on a notional or “face amount” basis. However if the dv01’s are different, then your risk would not be flat… -Total first order risk ( dv01 * amount )