41 Pages

Ch10_11

Course: EC EC 370, Spring 2009
School: Oregon
Rating:
 
 
 
 
 

Word Count: 1422

Document Preview

Industry Chapters10&11 Banking and Regulation 1 2 EvolutionoftheBankingIndustry Financial innovation is driven by the desire to earn profits A change in the financial environment stimulates a search for innovations that are likely to be profitable Responses to change in demand conditions Responses to changes in supply conditions Avoidance of regulations 3 DualBankingSystem State banks...

Register Now

Unformatted Document Excerpt

Coursehero >> Oregon >> Oregon >> EC EC 370

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Industry Chapters10&11 Banking and Regulation 1 2 EvolutionoftheBankingIndustry Financial innovation is driven by the desire to earn profits A change in the financial environment stimulates a search for innovations that are likely to be profitable Responses to change in demand conditions Responses to changes in supply conditions Avoidance of regulations 3 DualBankingSystem State banks chartered by state governments National banks chartered by federal government beginning in 1863 After the Riegle-Neal Act, the differences are mostly unimportant 4 PrimarySupervisoryResponsibility ofBankRegulatoryAgencies Comptroller of the Currency national banks Federal Reserve and state banking authoritiesstate banks that are members of the Federal Reserve System Fed also regulates bank holding companies FDICinsured state banks that are not Fed members State banking authorities state banks without FDIC insurance 5 ResponsestoChangesinDemand Conditions:InterestRateVolatility Adjustable-Rate Mortgages Flexible interest rates keep profits high when rates rise Lower initial interest rates make them attractive to home buyers Financial Derivatives Ability to hedge interest rate risk Payoffs are linked to previously issued securities Explosion of Securitization / OTD lending practices Excessively easy money (low interest rates) in early 2000s led to profitable and robust market for MBS 6 ResponsestoChangesinSupply Conditions:InformationTechnology Bank credit and debit cards Improved computer technology lowers the transaction costs Electronic banking ATM Home banking ABM Virtual banking Junk bonds Commercial paper market Securitization (whoops) 7 AvoidanceofRegulations: LoopholeMining Reserve requirements act as a tax on deposits Sweep accounts transform reservable liabilities into non-reservables Restrictions on interest paid on deposits led to disintermediation Mutual funds, esp. money market mutual funds 8 DeclineofTraditionalBanking As a source of funds for borrowers, market share has fallen Share of total financial intermediary assets has fallen Also a result of increased popularity elsewhere No decline in overall profitability Saw drop in NIM Increase in income from off-balance-sheet activities 9 Whatcanthisdeclinebeattributedto? 10 DeclineofTraditionalBanking Decline in cost advantages in acquiring funds (liabilities) Rising inflation led to rise in interest rates and disintermediation Low-cost source of funds, checkable deposits, declined in importance Decline in income advantages on uses of funds (assets) Information technology has decreased need for banks to finance short-term credit needs or to issue loans Information technology has lowered transaction costs for other financial institutions, increasing competition 11 BanksResponses Expand into new and riskier areas of lending Commercial real estate loans Leveraged buyouts Corporate takeovers Pursue off-balance-sheet activities Non-interest income Concerns about risk 12 Branching McFadden Act and state branching regulations prohibited branching across state lines Forced national banks to conform to the branching regulations of the state in which they were located Result? Bank holding companies and automated teller machines are responses to these regulations 13 BankConsolidation The number of banks has declined over the last 25 years Bank failures Consolidation DeregulationRiegle-Neal Interstate Banking and Branching Efficiency Act of 1994 Economies of scale and scope from information technology Results may be not only a smaller number of banks but a shift in assets to much larger banks 14 BenefitsandCostsofBank Consolidation Benefits Increased competition, driving inefficient banks out of business Increased efficiency also from economies of scale and scope Lower probability of bank failure from more diversified portfolios Costs Elimination of community banks may lead to less lending to small business Banks expanding into new areas may take increased risks and fail 15 16 SeparationofBankingandOther FinancialServices Glass-Steagall Act of 1933 Prohibited commercial banks from underwriting corporate securities or engaging in brokerage activities Section 20 loophole was allowed by the Federal Reserve enabling affiliates of approved commercial banks to underwrite securities to a limited extent U.S. Supreme Court validated the Feds action in 1988 17 SeparationofBankingandOther FinancialServices(contd) Gramm-Leach-Bliley Financial Services Modernization Act of 1999 Abolishes Glass-Steagall States regulate insurance activities SEC keeps oversight of securities activities Office of the Comptroller of the Currency regulates bank subsidiaries engaged in securities underwriting Federal Reserve oversees bank holding companies 18 ThriftIndustry: RegulationandStructure Savings and Loan Associations Chartered by the federal government or by states Most are members of Federal Home Loan Bank System (FHLBS) Deposit insurance provided by Savings Association Insurance Fund (SAIF), part of FDIC Regulated by the Office of Thrift Supervision Approximately half are chartered by states Regulated by state in which they located are Deposit insurance provided by FDIC or state insurance Mutual Banks 19 ThriftIndustry: RegulationandStructure(contd) Credit Unions Tax-exempt Chartered by federal government or by states Regulated by the National Credit Union Administration (NCUA) Deposit insurance provided by National Credit Union Share Insurance Fund (NCUSIF) 20 AsymmetricInformationandBank Regulation Government safety net: Deposit insurance and the FDIC Short circuits bank failures and contagion effect Payoff method Purchase and assumption method Moral Hazard Depositors do not impose discipline of marketplace Banks have an incentive to take on greater risk Adverse Selection Risk-lovers find banking attractive Depositors have little reason to monitor bank 21 TooBigtoFail Government provides guarantees of repayment to large uninsured creditors of the largest banks even when they are not entitled to this guarantee Uses the purchase and assumption method Increases moral hazard incentives for big banks Taken another step recently (LTCM, BSC) 22 RestrictionsonAssetHolding andBankCapitalRequirements Attempts to restrict banks from too much risk taking Promote diversification All things in moderation? Prohibit holdings of common stock Set capital requirements Minimum leverage ratio Basel Accord: risk-based capital requirements 23 Bank(Prudential)Supervision: CharteringandExamination Chartering (screening of proposals to open new banks) to prevent adverse selection Examinations (scheduled and unscheduled) to monitor capital requirements and restrictions on asset holding to prevent moral hazard Capital adequacy (?!??) Asset quality Management Earnings Liquidity Sensitivity to market risk Filing periodic call reports 24 ConsumerProtection Truth-in-lending mandated under the Consumer Protection Act of 1969 Fair Credit Billing Act of 1974 Equal Credit Opportunity Act of 1974, extended in 1976 Community Reinvestment Act 25 RestrictionsonCompetition Justified by moral hazard incentives to take on more risk as competition decreases profitability Branching restrictions (eliminated in 1994) Glass-Steagall Act (repealed in 1999) Disadvantages Higher consumer charges Decreased efficiency 26 MajorBankingLegislation 27 MajorBankingLegislation 28 MajorBankingLegislation 29 InternationalBankingRegulation Similar to U.S. Chartered and supervised Deposit insurance Capital requirement Easy to shift operations from one country to another Unclear jurisdiction lines Particular problems 30 Regulation Applies to a moving target Calls for resources and expertise Plugging holes strategy? Details are important Political pressures Top recipients of campaign contributsion from FNM/FRE Christopher Dodd Barack Obama John Kerry 31 Numberofbankfailuressince GD 32 1980sS&LandBankingCrisis Financial innovation and new financial instruments increasing risk taking Increased deposit insurance led to increased moral hazard Deregulation Depository Institutions Deregulation and Monetary Control Act of 1980 Depository Institutions Act of 1982 33 1980sS&LandBankingCrisis (contd) Managers did not have expertise in managing risk Rapid growth in new lending, real estate in particular Activities expanded in scope; regulators at FSLIC did not have expertise or resources High interest rates and recession increased incentives for moral hazard 34 1980sS&LandBankingCrisis: LaterStages Regulatory forbearance by FSLIC Insufficient funds to close insolvent S&Ls Established to encourage growth Did not want to admit agency was in trouble Zombie S&Ls taking on high risk projects and attracting business from healthy S&Ls Competitive Equality in Banking Act of 1987 Inadequate funding Continued forbearance 35 PrincipalAgentProblem forRegulatorsandPoliticians Agents for voters-taxpayers Regulators Wish to escape blame (bureaucratic gambling) Want to protect careers Passage of legislation to deregulate Shortage of funds and staff Lobbied by S&L interests Necessity of campaign contributions for expensive political races Politicians 36 TheFinancialInstitutionsReform, Recovery,andEnforcementActof1989 Regulatory apparatus restructured Federal Home Loan Bank Board relegated to the OTS FSLIC given to the FDIC RTC established to manage and resolve insolvent thrifts Cost of the bailout approximately $150 billion Re-restricted asset choices 37 FederalDepositInsuranceCorporation ImprovementActof1991 Recapitalize the Bank Insurance Fund Increase ability to borrow from the Treasury Higher deposit insurance premiums until the loans could be paid back and reserves of 1.25% of insured deposits maintained 0.15% (1990); -0.25% (1991); 1.01% (2008) Reform the deposit insurance and regulatory system to minimize taxpayer losses Too-big-to-fail policy substantially limited Prompt corrective action provisions Risk-based insurance premiums 38 US Current? 39 40 DejaVu It is the existence of a government safety net that increases moral hazard incentives for excessive risk taking on the part of banks Notice how this has been part of Money & Banking Texts for years. 41
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Oregon - EC - EC 370
Chapter9Banking and the Management of Financial Institutions1http:/federalreserve.gov/boarddocs/snloansurvey/200808/2BasicBankingCashDepositFirst National Bank Assets Vault Cash +$100 Liabilities Checkable deposits +$100 First National Bank Assets R
Oregon - EC - EC 370
Chapter8An Economic Analysis of Financial Structure12EightBasicFacts1.Stocks are not the most important sources of external financing for businesses Issuing marketable debt and equity securities is not the primary way in which businesses finance the
Oregon - EC - EC 370
AssetValuationWhat is a cynic? A man who knows the price of everything and the value of nothing ~ Oscar Wilde, Lady Windermeres Fan, Act III1WhyValuation?All assets have value Understand what value is Understand sources of valueBasic valuation prin
Oregon - EC - EC 370
2007?FinancialCrisisAsinallpastcrises,attherootoftheproblemisalossofconfidence byinvestorsandthepublicinthestrengthofkeyfinancialinstitutions andmarkets.~BenBernanke.Oct15,2008Origins and Fallout1OriginsOriginate-to-distribute (OTD) approach to credi
Oregon - EC - EC 370
7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36)Version B D B D B A A B B C B A A C A B B B D A D D D B D A A B C D D
Oregon - EC - EC 370
Version A 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) B D A D D D A B D A B D D A B B D D A D B A B B C D C B B B
Oregon - EC - EC 370
Extra Credit Assignment #3 EC370 W09 This assignment is due in class on 3/12. All answer must be typed or copy/pasted directly from Excel.1) Since August 2007, how many times has the S&P moved by more than 3% in a single day (open to close)? How about be
UCSD - MUS - 4
University of California, San DiegoMusic 4: Introduction to Western MusicLectures: Tuesday & Thursday 9:30am-10:50am Fall 2009 Instructor: Dr. Colin McAllister email: cmcallister@ucsd.edu phone: (858)534-5942 Office: Conrad Prebys Music Center (CPMC) 34
UCSD - ECON - 4
Economics 3Fall 2009Principles of MacroeconomicsInstructor: Email: Office: Office Hours: Course Time: Course Location: Course Duration: Final Exam: TAs: Sections: Jacob LaRiviere jlarivie@ucsd.edu Sequoyah Hall 208 Thursday 3:30-4:30pm TTh, 5:00pm-6:20
N. Illinois - FINA - 330
NorthernIllinoisUniversity CollegeofBusiness FINA330CorporateFinance Prof.AdamYoreLONGTERMFINANCIALPLANNINGANDGROWTH LongRunFinancialPlanning FinancialPlanningistheprocessofprojectingthefuturefinancialpositionofthefirm and reviewing how that projection c
Arizona - VSC - 433
VSC/MIC/MCB 433 Medical and Molecular Virology Fall 2008 Exam OnePart 1. Multiple Choice: 2 points each. Enter your answers on the Scantron sheet. You can keep this part of the exam, so you may want to circle your answers on this too. 1. At the vertex of
Arizona - VSC - 433
VSC/MIC/MCB 433 Medical and Molecular Virology Fall 2008 Exam TwoPart 1. Multiple Choice: 2 points each. Enter your answers on the Scantron sheet. You can keep this part of the exam, so you may want to circle your answers on this too. Picornaviridae is c
Arizona - VSC - 433
Name:_ VSC/MIC/MCB 433 Medical and Molecular Virology Fall 2008, Exam ThreeMultiple Choice and True False: 15 questions 30 :Points1. As a group negative strand RNA viruses do not need to code for a protease because: A. The ribosome frameshifts to produc
Arizona - VSC - 433
Name:_ VSC/MIC/MCB 433 Medical and Molecular Virology Fall 2008, Exam FourMultiple Choice and True False. Choose the best answer. One point each1. What function does reverse transcriptase serve for retroviruses? a. ssRNA -> dsDNA b. ssRNA -> cdsDNA c. d
Berkeley - STAT - 210A
UC Berkeley, Department of Statistics STAT 210A: Theoretical Statistics HW#1Fall, 2009Due: In class, September 08, 2009Problems related to appendix materials 1.1. Given a sequence of random variables such that Yn , give one example where: (a) E (Yn )P
Berkeley - STAT - 210A
UC Berkeley, Department of Statistics STAT 210A: Theoretical Statistics HW#2Fall, 2009Due: Tuesday, September 15, 2009Sufficient Statistic 2.1. Suppose that X i , i = 1,., n are i.i.d. Poisson random variables with parameter . Show thatT = i =1 X i is
Berkeley - STAT - 210A
UC Berkeley, Department of Statistics STAT 210A: Introduction to Mathematical Statistics HW#3Fall, 2009Due: Tuesday, September 22, 2009Sufficiency, completeness, Basus theorem3.1. Use completeness for the family N ( ,1), to find the unique solution f
Berkeley - STAT - 210A
UC Berkeley, Department of Statistics STAT 210A: Introduction to Mathematical Statistics HW#4Fall, 2009Due: Tuesday, September 29, 20094.1. Let X 1 ,., X n be independent with X i ~ N (ti ,1) , where t1 ,., tn are a sequence of known constants (not all
Berkeley - STAT - 210A
UC Berkeley, Department of Statistics STAT 210A: Introduction to Mathematical Statistics HW#5 4.1. By Taylor series expansion, we have the identity log(1 ) = all (0,1) . From this fact, the quantityFall, 2009Due: Tuesday, October 06, 2009 x =1xx, wh
Berkeley - STAT - 210A
STAT210A HW06Due: Tuesday, October 13, 2009A useful denition for this problem set: Denition: An equalizer procedure is a rule with constant risk (i.e., R(, ) = c for all ). 6.1. Consider the Bayesian model in which has distribution , and conditioned on
Berkeley - STAT - 210A
STAT210A HW07Due: Tuesday, October 20, 20097.1.In the inverse binomial sampling procedure, N is a random variable representing the number of trials required to observe x successes in a total of N + x Bernoulli trials (with parameter ). (a) Show that the
Berkeley - STAT - 210A
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 1 - Solutions Fall 2009 Issued: Tuesday, September 1, 2009 Problem 1.1 1. Yn = 0, n, with probability 1 1 with probability n .1 nDue: Tuesday, September
Berkeley - STAT - 210A
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 2 - Solutions Fall 2009 Issued: Tuesday, September 8, 2009 Problem 2.1 From the distribution of X, we have:nDue: Tuesday, September 15, 2009P (X = x) =
Berkeley - STAT - 210A
UC Berkeley Department of StatisticsSTAT 210A: Introduction to Mathematical Statistics Problem Set 3 - Solutions Fall 2009 Issued: Tuesday, September 15, 2009 Problem 3.1 Let X N (, 1). From, 1 1 2 p (x) = exp ( x2 + x ), 2 2 2 T (X ) = X is sucient by t
Berkeley - STAT - 210A
UC Berkeley Department of StatisticsSTAT 210A: Introduction to Mathematical Statistics Problem Set 4 - Solutions Fall 2008 Issued: Tuesday, September 22, 2009 Problem 4.1 (a) The joint distribution is,nDue: Tuesday, September 29, 2009p(x; ) =i=1 nP
Berkeley - STAT - 210A
UC Berkeley Department of StatisticsSTAT 210A: Introduction to Mathematical Statistics Problem Set 5 - Solutions Fall 2008 Issued: Tuesday, September 29, 2009 Problem 5.1 First, notice that we can rewrite: p(x; ) = exp [x log log ( log(1 )] so p belongs
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 1- Solutions Fall 2007 Issued: Thursday, August 30 Due: Thursday, September 6 Problem 1.1Pn (a) We have that E (X )2 = EPni=1 n2 2 i2 i=1 (Xi ) 2 n .
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 2- Solutions Fall 2007 Issued: Thursday, September 6 Due: Thursday, September 13 Problem 2.1 (a) Let fi (x) be the density of Xi , X = (X1 , . . . , Xn ) a
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 3- Solutions Fall 2007 Issued: Thursday, September 13 Due: Thursday, September 20 Problem 3.1 (a) Let FX be distribution of X . Then, FX (x) = 1 ex for all
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 4- Solutions Fall 2007 Issued: Thursday, September 20 Due: Thursday, September 27 Problem 4.1 1c (a) P(X x) = F (x) = 1 1(x > 1). x f (x) = cxc1 1(x > 1) =
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 5- Solutions Fall 2007 Issued: Thursday, September 27 Due: Thursday, October 4 Problem 5.1 (a) For the Gamma density, we have: p(x|) exp log(x) px + log p
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 6- Solutions Fall 2007 Issued: Thursday, October 4 Due: Thursday, October 11 Problem 6.1 Note: You can NOT apply the Theorem 11.1 with improper prior. Plea
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 7- Solutions Fall 2007 Issued: Thursday, October 18 Due: Thursday, October 25 Problem 7.1 (a)E(|Xi |) = 2 =0xx2 1 e 22 dx = 2 0t e 2 dt 2t=x2 22 C
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 8- Solutions Fall 2007 Issued: Thursday, October 25 Due: Thursday, December 1 Problem 8.1 (a) For a Bernoulli random variable, we have: E X = var X = (1 )
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 9- Solutions Fall 2007 Issued: Thursday, December 1 Due: Thursday, December 8 Problem 9.1 We want to prove that, for all , P ( S (X ) 1 . To prove that, we
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 10- Solutions Fall 2007 Issued: Thursday, December 8 Due: Thursday, December 15 Problem 10.1 a) The action space is given by A = cfw_0, 1. For = 0 , the lo
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 11- Solutions Fall 2007 Issued: Thursday, December 19 Due: Thursday, December 29 Problem 11.1 (a) P0 1 nn i=1Xi 0 = P0 etPni=1Xi etn(0 +) , t > 0Xi
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 1 Fall 2007 Issued: Thursday, August 30d p m.s.Due: Thursday, September 6Notation: The symbols cfw_, , denote convergence in distribution, probability
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 2 Fall 2007 Issued: Thursday, September 6 Due: Thursday, September 13Problem 2.1 Suppose that (X1 , X2 , . . . , Xn ) is multivariate normal with unknown
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 3 Fall 2007 Issued: Thursday, September 13 Due: Thursday, September 20Problem 3.1 Consider an exponentially distributed variate with density fX (t) : = ex
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 4 Fall 2007 Issued: Thursday, September 20 Due: Thursday, September 27Problem 4.1 A random variable X has the Pareto distribution P (c, k ) if its CDF tak
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 5 Fall 2007 Issued: Thursday, September 27 Due: Thursday, October 4Reading: For this problem set: Chapter 9 of Keener (Bayesian methods); 3.1, 3.2 of Bick
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 6 Fall 2007 Issued: Thursday, October 4 Due: Thursday, October 11Reading: Keener, Chapter 11. Bickel and Doksum; 2.12.3. 3.13.3 Problem 6.1 1 Consider n i
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 7 Fall 2007 Issued: Thursday, October 25 Reading: Keener: Chapter 10, 11. B & D: Chapter 5. Problem 7.1 Suppose that X1 , . . . , Xn are i.i.d. N (0, 2 ).
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 8 Fall 2007 Issued: Thursday, October 25 Reading: Keener: Chapter 10, 11, 21.6, B & D: 3.5, 4.4 Problem 8.1 Find variance-stabilizing transformations for t
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 9 Fall 2007 Issued: Thursday, November 1 Reading: Keener: Chapter 14; B & D: 3.5, 4.4 Problem 9.1 Suppose that for each 0 , the set A(0 ) is the acceptance
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 10 Fall 2007 Issued: Thursday, November 8 Reading: Bickel & Doksum: 6.3, 6.4; Keener: Chapter 18 Problem 10.1 Suppose that we use a prior = [0 (1 0 )] for
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 11 Fall 2007 Issued: Monday, November 19 Reading: Keener: Chapter 22; B & D: Chapter 5 Problem 11.1 2 2 Consider the simple binary hypothesis test H0 : X N
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 1- Solutions Fall 2006 Issued: Thursday, August 31, 2006 Problem 1.1 Solution to 1. Let: Yn = 0, n, with probability 1 1 with probability n 1 nDue: Thurs
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 2 Fall 2006 Issued: Thursday, September 7, 2006 Due: Thursday, September 14, 2006Graded exercisesProblem 2.1 From the distribution of X, we have:nP (X
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 3 Fall 2006 Issued: Thursday, September 14, 2006 Due: Thursday, September 21, 2006Graded exercisesProblem 3.1 (a) To prove that, we massage the density e
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 4 Fall 2006 Issued: Thursday, September 21, 2006 Due: Thursday, September 28, 2006Graded exercisesProblem 4.1 First, notice that we can rewrite: p(x; ) =
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 5 Fall 2006 Issued: Thursday, September 28, 2006 Due: Thursday, October 5, 2006A useful definition for this problem set: Definition: An equalizer procedur
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 5 Fall 2006 Issued: Thursday, September 14, 2006 Due: Thursday, September 21, 2006Graded exercisesProblem 5.1 a) We want to show that R(, ) = E ( (X-) )
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 6 Fall 2006 Issued: Thursday, October 5, 2006 Due: Thursday, October 12, 2006Problem 6.1 In the inverse binomial sampling procedure, N is a random variabl
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 6 Fall 2006 Issued: Thursday, October 5, 2006 Problem 6.1 a) Using the Rao-Blackwell theorem and considering the quadratic error loss function L(, ) = ( -
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 7 Fall 2006 Issued: Thursday, October 19, 2006 Due: Thursday, October 26, 2006Problem 7.1 p d d Show that if Xn X > 0 and Xn /Yn 1, then Yn X. Problem 7.2
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Solutions - Problem Set 7 Fall 2006 Issued: Thursday, September 14, 2006 Due: Thursday, September 21, 2006Graded exercisesProblem 7.1 p Y Let Zn = Xn , we have that
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Solutions - Problem Set 8 Fall 2006 Issued: Thursday, November 2, 2006 Due: Thursday, November 9, 2006Graded exercisesProblem 8.1 (a) From the definitions given, we
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Problem Set 9 Fall 2006 Issued: Thursday, November 2, 2006 Due: Thursday, November 9, 2006Some useful notation: Let denote the CDF of a standard normal variate, and l
Berkeley - STAT - 210a
UC Berkeley Department of Statistics STAT 210A: Introduction to Mathematical Statistics Solutions - Problem Set 9 Fall 2006 Issued: Thursday, November 2, 2006 Due: Thursday, November 9, 2006Graded exercisesProblem 9.1 (a) First, notice that ga () = P(X1