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UMBC - EC - 204
Economic ResearchMarch 20, 2009US Weekly Prospects Data Watch: Cross-purposes Focus: Stronger goods pricing Research Note: Bernanke rolls out the big guns Global Data Watch: Policy muddle Economic Indicators US Forecast Calendar2 4 5 7 1
UMBC - EC - 204
Economic ResearchMarch 27, 2009US Weekly Prospects Data Watch: Some hints Focus: Better housing news Research Note: Twos company, but twelve trillions a crowd Global Data Watch: Pricing to become a wedge issue Economic Indicators US Forecas
UMBC - EC - 204
Economic ResearchApril 9, 2009US Weekly Prospects Data Watch: The worst has passed Focus: A shrinking trade gap Research Note: Uncle Sam frontloads 2009 personal income support Global Data Watch: Exodus (movement of jah business cycle) Econo
Washington - STAT - 391
STAT 391, Spring 2009: Homework Assignment 2Assaf Oron April 14, 2009Due Date: Tuesday April 21st in class. Instructions: please submit in a single packet. Place non-textbook and starred textbook problems rst, written up nicely. Following that, su
Washington - STAT - 391
Mathematical StatisticsModelsDecisionsRealityCourse Roadmap:Stat 391 Lecture 6Mathematical Foundations: Review, Overflow, Q&A Assaf Oron, April 2009Basic Probability Conditional Probability Large Sample Theory Distributions, r.v.s Point
Washington - STAT - 391
The Likelihood (1): Rationale In some sense, its a mathematical trick But it does stem from intuitionStat 391 Lecture 8Estimation 2: Maximum-Likelihood Estimation Assaf Oron, April 2009 Here we start not from expectations, but from the overal
Washington - STAT - 550
Stat/Biostat 550, Homework 2Due date: April 22 In this homework, we consider two missing data problems, both of which we will attack with the EM algorithm. We will warm up with a simpler example and then move on to a little more complex setting. 1.
Washington - STAT - 581
1Chapter 3 Lower Bounds for Estimation1. Introduction and Examples 2. Cramr - Rao lower bounds for parametric models e 3. Regular Estimators; Supereciency; LAN and Le Cams three lemmas 4. Hajeks convolution theorem and local asymptotic minimax the
Washington - STAT - 550
Documentation for PHASE, version 2.1Algorithm by Matthew Stephens1 , Nicholas J. Smith, and Peter Donnelly. Code by Matthew Stephens, with contributions from Na Li.June 2004Address for correspondance: Department of Statistics, University of Wash
Washington - STAT - 591
STATISTICS 591A, SLN: 9046FALL QUARTER, 2005A Computational Finance Program Short CourseStochastic Optimization and Asset ManagementInstructor: Time, Place and Credits: Course Registration:Visiting Professor William T. Ziemba*Five-Week Shor
Washington - STAT - 535
%!PS-Adobe-2.0 %Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %Title: lecture6-junction-tree.dvi %Pages: 7 %PageOrder: Ascend %BoundingBox: 0 0 595 842 %DocumentFonts: CMR12 CMBX12 CMSY10 CMBX10 CMR10 CMMI10 CMR7 CMTI10 %+ CMEX10 CMMI8
Washington - STAT - 535
STAT 535 Lecture 7 The Junction Tree Algorithm c Marina Meil and Carl de Marcken a mmp@stat.washington.edu1PreliminariesDenote by V the set of variables of interest. For any variable X V , denote by X the set of values that can take, by rX = |
Washington - STAT - 547
1.1Options and Derivatives: Theory, Statistics and ComputationSTAT 547 Fall 2005R. Douglas Martin B-319 Padelford doug@stat.washington.edu9/28/051.2Class Web Sitewww.stat.washington.edu/compfin/Courses/stat547 Lecture slide sets Ho
Washington - STAT - 547
3.13. BINOMIAL TREE OPTIONPRICING10/3/053.2A Simple Binomial Model A stock price is currently $20 In three months it will be either $22 or $18Stock Price = $22 Stock price = $20 Stock Price = $18A Call OptionA 3-month call option on th
Washington - STAT - 547
LECTURE 55.1 Lognormal Distribution, Expected Rate of Return, etc. 5.2 The Black-Scholes P.D.E and solution methods 5.3 Risk-Neutral Valuation 5.4 Put-Call Parity and Put Option Price 5.5 Parameter Effects on Prices Appendices 5A: The expected payof
Washington - STAT - 547
6. DIVIDENDS,YIELDS, AMERICAN OPTIONS, PRICING BOUNDSEuropean Options with Dividends (with GBM) Dividend basics Lumpy Dividends Continuous dividend yield (two derivation methods)6.1Options on Stock Indices, Currency, Futures American Put and
Washington - STAT - 547
8.18. BINOMIAL TREES: Part 1Binomial Tree Terminology Multiplicative Binomial Trees S-PLUS code for Multiplicative Trees Additive Binomial Trees Binomial Trees for American OptionsNOTE: Material goes further, deeper than Hull Chapter 17 (Reading)
Washington - STAT - 547
9.19. BINOMIAL TREES: Part 29.1 Binomial Tree Models for Options on Indices & Currencies 9.2 Binomial Tree Models for Options with Discrete Dividends 9.3 Estimating the Greeks from a Binomial Tree Model 9.4 A Trinomial Tree Model (Brief Intro.) 9.
Washington - STAT - 547
10.110. EXOTIC OPTIONS10.1 Overview of Exotic OptionsChapter 22 of Hull Details in Chapters 11-15 of Wilmott, Howison, and Dewynne10.2 Binomial Tree for a Down and Out OptionClewlow and Strickland, Chapter 2.10.11/13/0410.210.1 OVERVIEW
Washington - STAT - 547
11. SIMULATION BASED PRICING11.1 Introduction 11.2 Variance Reduction Methods 11.3 Low-Discrepancy Sequences (Not covered) 11.4 Estimating Price Sensitivies (Greeks) 11.5 Pricing American Options (Not covered)11.1Clewlow and Strickland (1998), C
Washington - STAT - 547
13. MEASURES OF PRICE SENSITIVITY AND HEDGINGLecture follows a hard-copy hand-written handout. that follows Tuckman reference below.READING: Chapter 5 and part of Chapter 6 in Tuckman, B. (2002), Fixed Income Securities, 2nd Edition, Wiley Finance
Washington - STAT - 547
Appendix A: The Capital Asset Pricing Model (CAPM) and Beta(REFERENCES: Any of the Introductory Investment textbooks)Investors Use Mean Variance Optimal Portfolio's Rules for how to invest (normative economics)Capital Asset Pricing Model (CAPM)
Washington - STAT - 547
A2. SOLVING THE B.S.M. PDEA2.1 The Diffusion Equation A2.2 Solutions to an Initial Value Problem A2.3 Converting the PDE to a Diffusion Equation A2.4 Grinding out the Solution11/13/051European Call with Value C(S,t):C 1 2 2 2C C + 2 S + rS
Washington - STAT - 547
A3. FINITE DIFFERENCE PDE METHODSFinite Difference Methods Solutions Finite Difference Approximations The Explicit Finite Difference Method Stability Problems12/3/20051Finite Difference MethodsTransform the BSM PDE to a diffusion equation
Washington - STAT - 547
R. DOUGLAS MARTIN'S GARCH NOTESWH Y GARCH M OD E L S ?(or other "stochastic" volatility models) VOLATILITY: t = var ( Rt )1/ 2 p Rt = log t p t -1 ORRt =pt - pt -1 pt -1pt = price at time t
Washington - STAT - 564
ExercisesChapter 22.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (fathers occupation, sons occupation). Using this joint distribution, calculate the followi
Washington - STAT - 521
The Haar Construction of Brownian Motion and Brownian BridgeWellner; 4/26/99; 2/27/08 The aim of this handout is to construct both Brownian motion and Brownian bridge as continuous Gaussian processes on [0, 1], and that we can then extend the denit
Washington - STAT - 521
Statistics 522, Problem Set 1 Wellner; 1/16/2008Reading: Due:Shorack, PfS, Chapter 8, Sections 4-6, pages 172 - 187; Wednesday, January 23, 2008.1. PfS, exercise 3.2.3, page 42: Consider a measure space (, A, ). Let 0 |A0 for a sub eld A0 of A
Washington - STAT - 521
Statistics 522, Problem Set 2 Wellner; 1/23/2008Reading: Shorack, PfS, Shorack, PfS, Due:Chapter 11, Sections 7-8, pages 312 - 318; Chapter 13, Sections 1-7, pages 367 - 390. Wednesday, January 30, 2008.1. (Symmetry and conditional expectation)
Washington - STAT - 521
Statistics 522, Problem Set 3 Wellner; 1/30/2008Reading: Wellner Due:Chapter 11, Sections 1-3, pages 1 - 21. Wednesday, February 6, 2008.1. Exercise 11.6.1, page 34, Wellner, Chapter 11 notes. 2. Exercise 11.6.2, page 34, Wellner, Chapter 11 no
Washington - STAT - 521
Statistics 522, Problem Set 4 Wellner; 2/05/2008Reading: Wellner Due:Chapter 11, Sections 3 - 5, pages 19 - 33. Wednesday, February 13, 2008.1. Suppose that Y1 , . . . , Yn be independent Bernoulli (1/2) random variables so that Xj = 2Yj 1 are
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 5 corrected version Wellner; 2/13/2008, 2/16/2008 Reading: Wellner Shorack, PfS Due: Reminder:Chapter 11, Sections 3 - 5, pages 19 - 33. Section 11.7, pages 312 - 318. Wednesday, February 20, 2008. Midterm exam, February
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 7 Wellner; 2/27/2008Reading: Shorack, PfS Shorack, PfS Due:Sections 12.1-12.3, pages 319 - 329. Sections 13.1 - 13.7, pages 367-390. Wednesday, March 5, 2008.1. Graph the rst few gnj s and hnj s introduced in the han
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 8 Wellner; 3/5/2008 Reading: Shorack, PfS Shorack, PfS Due: Reminder:Sections 12.1-12.3, pages 319 - 329. Sections 13.1 - 13.7, pages 367-390. Wednesday, March 12, 2008. Final exam, Wednesday, March 19.1. PfS, Exercise
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 1 Solutions Wellner; 1/23/20081. PfS, exercise 3.2.3, page 42: Consider a measure space (, A, ). Let 0 |A0 for a sub eld A0 of A. Starting with indicator functions, show that Xd = Xd0 for any A0 measurable function X. S
Washington - STAT - 521
Statistics 522, Problem Set 2 Solutions Wellner; 1/31/20081. (Symmetry and conditional expectation). Let X1 , X2 , . . . be i.i.d. random variables with the same distribution as X where E|X| < . Let Sn X1 + + Xn , and dene Show that E(X1 |Gn )
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 3 Solutions Wellner; 2/7/20081. Exercise 11.6.1, page 34, Wellner, Chapter 11 notes. Prove the equivalence of (i) and (ii) in Proposition 11.2.2. Solution: Suppose that (ii) holds. Let x < 0, 1, 1 x, 0 x 1, h(x) =
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Problem Set 4 Solutions Wellner; 2/16/20081. Suppose that Y1 , . . . , Yn be independent Bernoulli (1/2) random variables so that Xj = 2Yj 1 are independent Rademacher random variables. with EXj = 0 and V ar(Xj ) = 1. Let Sn = X1 +
Washington - STAT - 521
Statistics 522, Problem Set 5 Solutions Wellner; 2/21/20081. Exercise 11.8.7, page 55, Wellner, Chapter 11 notes. (new numbering; exercise 11.6.7, page 33, old numbering). Suppose that X and Y are independent random vectors, and that W is another r
Washington - STAT - 521
Statistics 522, Midterm Exam Wellner; 2/20/20081. (24 points). Define three of the following four terms: (a) The conditional expectation of a random variable X given a (sub-) sigma-field D. (b) Convergence in distribution of a sequence of measures
Washington - STAT - 521
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Washington - STAT - 521
Statistics 522, Midterm Exam Solutions Wellner; 2/20/20081. (24 points). Dene three of the following four terms: (a) The conditional expectation of a random variable X given a (sub-) sigma-eld D. (b) Convergence in distribution of a sequence of mea
Washington - STAT - 521
Statistics 522, Final Exam Wellner; 3/19/20081. (24 points). Dene three of the following six terms: (a) An asymptotically tight sequence {Xn } in a metric space (M, d). (b) Weak convergence of probability measures {Pn } to a probability measure P o
Washington - STAT - 521
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Washington - STAT - 521
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Washington - STAT - 521
Statistics 521, Problem Set 1 Wellner; 9/26/07Reading: Due:Shorack, PfS, Chapter 1, pages 1 - 17; Wednesday, October 3, 2007.1. (a) Suppose that {An } is an increasing sequence of algebras, i.e. An An+1 for all n 1. Show that An is an algebr
Washington - STAT - 521
Statistics 522, Problem Set 2 Wellner; 1/23/2008Reading: Shorack, PfS, Shorack, PfS, Due:Chapter 11, Sections 7-8, pages 312 - 318; Chapter 13, Sections 1-7, pages 367 - 390. Wednesday, January 30, 2008.1. (Symmetry and conditional expectation)
Washington - STAT - 521
Statistics 521, Problem Set 3 Wellner; 10/12/07Reading: Shorack, PfS, Chapter 2, section 2.5, pages 35-36; Shorack, PfS, Chapter 3, sections 3.1-3.5, pages 37 - 51. Due: Wednesday, October 17, 2007. 1. PfS, Exercise 2.2.1, page 28. 2. PfS, Exercise
Washington - STAT - 521
Statistics 521, Problem Set 4 Wellner; 10/17/2007Reading: Shorack, PfS, Chapter 3, sections 3.4 - 3.5, pages 46 - 63. Reminder: Make-up lectures on Wednesday 10/17 and Wednesday 10/27, 12:30 - 1:20 in Loew 222. Due: Wednesday, October 24, 2007. 1.