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Using Historical Perspective of Keynesian vs. Neoclassical Macro in Teaching Principles 14th Fed Prof Conference 2016 Max Gillman, U. of Missouri-St. Louis Federal Reserve Bank of St. Louis 3-4 November 2016 Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 1 / 62
Transcript

Using Historical Perspective of Keynesian vs.Neoclassical Macro in Teaching Principles

14th Fed Prof Conference 2016

Max Gillman, U. of Missouri-St. Louis

Federal Reserve Bank of St. Louis

3-4 November 2016

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 1 / 62

Evolutionary Approach to Teaching MacroPrinciples of Macroeconomics: An Evolutionary Approach; Jan. 2017

Great Depression to Great Recession

Fisher vs. Keynes

Neoclassical vs Keynesian

Lectures including Online FRED.

Homework including EconLowdown Modules.Using State of Art Econ Govt data & Online Modules.Without reliance on Proprietary Online Services.Adjust as FRED, EconLowdown Advance/Evolve.(In FRED We Trust).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 2 / 62

What We Teach Matters: Not Just How

What is an Economic Fallacy?

What is an Economic Fact?

What is a Macroeconomic Principle?

What Math can we use?

Can We Tell the Story of Macro?

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 3 / 62

Fallacies: AS-AD derivation.

Keynesian Cross gives AS � AD analysis.

IS-LM gives AS � AD analysis.

Phillips curve gives AS � AD analysis.

Oil Price Theory of Stag�ation gives AS � AD analysis.

David Colander, 1995, "The Stories We Tell:

A Reconsideration of AS/AD Analysis."Journal of Economic Perspectives, 9(3): 169-188.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 4 / 62

Stylized Facts

Normal Real Business Cycle Stylized Facts

Solow Growth Facts of balanced growth path.

Phillips curves during Asset Market Booms & Busts

Bank Collapse Causing Crises of Grt Depress & Grt Rec.

US Lost Decades: 1929-1939 & 2007-2016.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 5 / 62

Macro Principles

S & D for capital depends on Real Interest Rate:

Fisher 1896 Model allows "Ramsey" RBC explanation.

Ramsey (1928) underlies Neoclassical & (New) Keynesian.

Ramsey World AS � AD underlies Dyn. Stoch. Gen Equil.

Ramsey World AS � AD depends on real price of Gds to Labor:1/w .

Ramsey World S&D in Labor market dependson real price of Labor to Goods: w/1.Real Interest Rate constant in Ramsey World

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 6 / 62

Math We Can Use

Graphs of Data over time: FRED mainly.

Plus BLS graphs, NIPA Dpt Comm.& OECD tables.

Graphs of Functional Data, in time: Phillips Curve

Can Construct Using FRED data in Excell.

Graphs of Functions between 2 Variables:

eg. Price, Quantity; Output, Input.

Graphs of Functions Shifting:

Comparative Statics Change in one Parameter.

Tables.Equations: Simple Algebra Only

C + I + G = Y = GDP; R = r + π; GDP = GDI .Maybe: wl + rk � δ+ G � T = Y = GDI(A � B + C �D + E = F ).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 7 / 62

Story to be Told

Microeconomic to Macroeconomic Foundations

Comovement & Crises

Cycles & Growth

Policy

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 8 / 62

Micro Principles Used in MacroMicroeconomic to Macroeconomic Foundations

PPC, Production Function, Indi¤erence Curve.Diminishing Marg Prod. & Marg Utility; Mrkt Structure.Supply & Demand as function of Relative PriceComparative Statics

Smith, Ricardo, Bentham, Jevons, Menger, Walras,Malthus, Darwin, & MarshallLabor Theory of Value vs Neoclassical Theory of Value

Application: Gasoline Prices & Loss of US World Auto MrktCurrent Dollar Gas Prices vs Real Dollar Gas Prices

Appendices: How Darwin Solved Shape of Production CurvePlus: Graphs & Data; Using FRED; y = a+ bx .

EconLowdown Module: Supply & DemandReview of S&D basics + Comp. Statics

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 9 / 62

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.00

0.05

0.10

0.15

0.20

0.25

Input

Output

Figure: General Equilibrium Production Function (Blue) and Utility LevelExpressed as Indi¤erence Curve (Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 10 / 62

0 1 2 3 4 50

1

2

3

4

5

Quantity

Relative Price

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 11 / 62

Figure: US Gasoline Prices: Actual & Constant 2013 Prices, 1929-2014.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 12 / 62

Figure: US Gasoline Index divided by All Items CPI, 1990:4 - 2016:3.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 13 / 62

Aggregate Output and IncomeMicroeconomic to Macroeconomic Foundations

National Output & Income Accounting

NIPA Tables for GDP & GDI4 Categories of Each GDP & GDIKuznets & Stone; Fisher (price index).Nominal vs Real: Using the Price Index

Production of Output from Input

General Function and GraphRepresentative Agent EconomyCircular Flow: GDP = GDIClassical Dichotomy: Nominal & Real Economy

Application: US Real & Nominal GDP Growth

Appendix: Nominal vs Real Interest Rate: Fisher eqtn.

EconLowdown Module: GDP & Pizza

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 14 / 62

Macro Divergence from MicroMicroeconomic to Macroeconomic Foundations

Great Depression: Facts (FRED)

Real GDP, Unemployment, In�ation, Currency/Deposits.Govt Spending including Defense and not.Comparison to Great Recession Facts.

Bifurcation of Macro Theory

Neoclassical Approach: Fisher, Hayek Debt-De�ation.Keynes�s Approach: 1930 Cross, Thry of Bus Cycle.National Accounting and Keynesian CrossPro�t � I - S; Excess Savings Spent by Govt.Add Keynes 1936 Consumption FunctionStabilization Policy Arises.

Applic: Grt Depression using Keynes Cross.

Append: Keynes�s Price Theory vs. Marshall�s.

EconLowdown Module: Great Depression 1 & 2.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 15 / 62

Figure: US Currency to Demand Deposit Ratio, 1923-1939.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 16 / 62

Busines Cycles, Crises & GrowthComovement & Crises

Facts of Cycle and Growth Trends (FRED)

Shares of GDP & GDI over Cycle

RBC Theory & Growth Theory & Crisis Theory

Friedman & Schwartz (1963) vs Kydland & Prescott (1982)

Applic: Equity Premium Puzzle.Append: Structural Transformation by Sector;

Why Doesn�t Capital Flow from Rich to Poor Neighborhoods?

EconLowdown Module: Unemployment.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 17 / 62

Figure: US 1930-2014, Growth Rate of Both Real Personal ConsumptionExpenditure (Red) and Real GDP (Blue) Minus 3.5% (trend growth rate).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 18 / 62

Money, Banking & PolicyComovement & Crises

Public Bank & Private Bank Money

Monetary Aggregates (FRED).Govt�s Central Bank: the Fed;Bank Panics Leading to Fed.Institutions & Mrkts.

Theory of Money Demand & Fisher.

Quantity Theory, In�ation Targeting, Taylor Rule.Temp & Permanent Liquidity E¤ects, & Wicksell.

Applic: Ex-Post US Real Interest Rates.

Append: Historical Money, In�ation & Debt;Fiscal Theory of the Price Level.

EconLowdown Module: Capital Markets.& Monetary Policy.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 19 / 62

Crises and In�ationComovement & Crises

Facts: WWI, WWII, Korean War & In�ation

Vietnam war In�ation: a period of "Peacetime".Granger Causality of Oil Prices by Money & In�ationKillian & coauthors on monetary causes of Oil prices.

Oil Price Shock Theory of Stag�ation: Mankiw (2015)

AS-AD with nominal prices vs Relative Prices.Monetary hypothesis of "OPEC Oil Shocks".In�ation Tax & Long run Growth.Phillips Curves: Theory, Evidence & Debt-De�ations.

Applic: Grt Depres. Turning Pt with �33 Banking Act & FDICAppend: US Banking Acts 1930�s and 2008.EconLowdown Module: Great In�ation, Grt Depres. 3 & 4.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 20 / 62

Figure: Real WTI Oil Prices, from Jan. 1947 to Dec. 1973: WTI US$ per barreldivided by US CPI index, in 1982 Constant Dollars.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 21 / 62

Figure: Real Oil Prices in 1982 US Dollars, 1947 -2016.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 22 / 62

Inflation­Growth Relationship, OECD, Inflation <50%

0

1

2

3

4

5

6

7

8

9

­1 9 19 29 39 49

Inflat ion

Gro

wth

growth

IVs

Spline

Figure: E¤ect of in�ation on real GDP Growth rate, OECD developed countrysample set; panel data estimation.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 23 / 62

Phillips Curves: During Bank Productivity ChangeAnd Corresponding Stock Market Change: Debt-De�ation & Credit-In�at.

Figure: Phillips Curve During US Stock Market Crash and the Great Recession

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 24 / 62

July 2008-May 2009 Stock Crash with Bank Crash

Figure: S&P 500 Index During Great Recession.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 25 / 62

May 29-May 33: US Great Depression

Figure: US Phillips Curve During Great Depression

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 26 / 62

Grt Depres. Stock Market Crash with Bank Crash

Figure: Dow Jones Industrial Average Percentage Change in Great Depression

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 27 / 62

1960s "FAMOUS" Phillips Curve

Figure: Phillips Curve from 1959:1 to 1969:12

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 28 / 62

Dawn of Multinational Corp & Global Finance: Bnk Prod.Boom

Figure: Dow Jones Industrial Average during the 1960�s.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 29 / 62

Savings, Investment & InterestCycles & Growth

Facts: Income Flow on Wealth; Savings & Investment data.Keynesian Analysis of Capital Market

IS: Supply shifts out by more than Demand, when Y " ;"Excess Savings" & Downward sloping IS.LM: D shifts out by more than S ; LM slopes up.Horizontal Lines on Solow Growth path: general case.Policy: Govt Spending & Money increases Good.

Fisherian Neoclass. 2-period Model of Sav & Invest.Business Cycle Explanation: just 2 joint Comparative Statics.TFP increase, and y0 endowment increase.Get Keynes (1936) only graph with y0 endowment increase.

Applic: Present Discounted Value.Append: Savings & Investment data on same basis (FRED).EconLowdown Module: Time Value of Money; & Soar toSavings.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 30 / 62

29 30 31 32 33 34 35 36 37 381.00

1.05

1.10

1.15

k Capital Investment, Savings

(1+r)/1

Figure: Shift Back in Supply and Upwards in Demand for Capital (Black), from aProductivity Increase Relative to Baseline (Red): Capital Investment (andSavings) Unchanged, but Interest Rate Higher.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 31 / 62

31 32 33 34 35 361.00

1.02

1.04

1.06

1.08

k Capital

(1+r)/1

Figure: An Increase in Current Income Endowment Shifts out the Supply ofCapital (Black Curve) and Lowers the Real Interest Rate.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 32 / 62

31 32 33 34 35 36 371.00

1.02

1.04

1.06

1.08

1.10

1.12

1.14

K1 Capital

1+r

Figure: Capital Market with 5% Increase in Goods Productivity and IncomeEndowment (Black) versus Baseline (Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 33 / 62

AS-AD & Business CyclesCycles & Growth

Facts

Monetary Prices Versus Relative PricesCapital to Goods Price & Debt-De�ationStylized Facts Of Cycles

Theory: Ramsey�s World with AS-AD

Ramsey Markets for Output, Labor and CapitalRBC Analysis: Goods & Time Endowment Changes

Application: Crisis from Fixed WageAppendix: Crisis from Bank Productivity Crash.EconLowdown Module: "The Great Depression 5".

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 34 / 62

Figure: US Nominal Price of Goods (CPI) Divided by the Nominal Wage Rate(average weekly wage and salary, full time, 16 and over): P/W , 1979 to 2015

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 35 / 62

Figure: Annual Growth Rate of Real Wage Rate and Trend-Adjusted Real GDP,US 1965:6-2014.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 36 / 62

Figure: Annual Average Growth Rates of US Civilian Labor Force ParticipationRate, 1957:7-2015.14, (Blue) and Normalized Real GDP (Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 37 / 62

0.14 0.16 0.18 0.20 0.22 0.24 0.26 0.28 0.30 0.320

5

10

15

Aggregate Output y

1/w

Figure: Business Cycle Expansion in Goods Market: AS � AD Equilibrium with5% Increase (in Black) in Both Productivity A and Time T as Compared to theOriginal (in Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 38 / 62

0.44 0.46 0.48 0.50 0.52 0.54 0.56 0.58 0.60 0.620.08

0.10

0.12

0.14

0.16

0.18

0.20

0.22

Labor Employment

w

Figure: Business Cycle Expansion: Labor Market has a Shift out in Demand(Black) and Pivoting of Supply (Black) as Compared to Original (Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 39 / 62

0 1 2 3 4 5

0.05

0.06

0.07

0.08

0.09

0.10

Capital Stock k

Real Interest Rate r

Figure: Capital Market Shows Shift Out of Demand for Capital (Black Curve)When both Factor Productivity A and Time Endowments T Increase by 5%relative to the Original Example Equilibrium (Red Curve).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 40 / 62

0.30 0.35 0.40 0.45 0.50 0.55 0.600.08

0.10

0.12

0.14

0.16

0.18

0.20

Labor Employment

w

Excess Supply

Figure: Excess Labor Supply with a Fixed Wage During Contraction (in Black)relative to the original example equilibrium (in Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 41 / 62

Growth, Progress and AS-ADCycles & Growth

Stylized Growth Rate Facts

Solow & Solow Plus Growth Facts

Theory: Growth Puzzle that Solow Solved

A Comparative Static Productivity IncreaseAS-AD with Solow GrowthSolow Growth from Ramsey WorldAS-AD with Continual Technological Progress

Application: Trend Down in TimeAppendix: Growth with Human CapitalEconLowdown Module ""Economic Growth".

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 42 / 62

Figure: US Years of Education by Birth Cohort

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 43 / 62

0.14 0.16 0.18 0.20 0.22 0.24 0.26 0.28 0.30 0.320

5

10

15

Aggregate Output y

1/w

Figure: AS � AD Equilibrium with Goods Productivity Increase (in Black) asCompared to the Original (in Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 44 / 62

0.3 0.4 0.5 0.6 0.70.05

0.10

0.15

0.20

0.25

0.30

Labor Employment

w

Figure: Increase in Productivity (Black Curves) Raises w and Leaves EmploymentUnchanged.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 45 / 62

0.23 0.24 0.25 0.26 0.27 0.285

6

7

8

9

10

Aggregate Output y

1/w

Figure: AS � AD Equilibria Over Time With 2% Exogenous Growth Example;Moving From Red to Black Curves over 4 years.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 46 / 62

0.590 0.595 0.600 0.605 0.610

0.135

0.140

0.145

0.150

0.155

0.160

Labor

Wage Rate w

Figure: Labor Market with 2% Exogenous Growth and Rising Real Wage,Constant Employment, Over Time.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 47 / 62

Policy as Social InsurancePolicy

Facts: British and American "Welfare States"Theory: Moral Hazard Danger of Social Insurance

Inequality and ConsumptionPermanent Income ConsumptionRamsey World�s Keynesian CrossSpanning Keynesian & Friedman ConsumptionSocial Insurance Examples

Application: FDIC Post-2010 Dodd-FrankAppendix: Taxes, Public Goods, InsuranceEconLowdown Modules "Government Budgets" & "FiscalPolicy".

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 48 / 62

0 1 2 3

0.7

0.8

0.9

1.0

Y

C/Y = (a/Y)+ b

Figure: Consumption as a Fraction of Income: in the Keynesian Theory ofConsumption C = a+ bY .

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 49 / 62

0.0 0.5 1.0 1.5 2.00.0

0.5

1.0

1.5

2.0

y_Perm

c/(y_Perm) = a

Figure: Consumption as a Fraction of Permanent Income: Ramsey-FriedmanTheory

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 50 / 62

"Ramsey Cross"

0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.120.00

0.02

0.04

0.06

0.08

0.10

0.12

w Full Income

c

Figure: Ramsey Consumption Theory and Busines Cycles: Increase in A.Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 51 / 62

The Great Recession and Lost DecadePolicy

Facts: Fed "Bailout" of US Bank System?Theory: Bagehot�s law of �nancial e¢ ciency

Tax on Capital Markets, Welfare Loss,Financial "Repression"Seeking Yield": Capital Market DistortionGovernment Capital FloodingInternationally Ine¢ cient Bank SubsidizationDeconstructing 3-Equation Keynesian Bank Model

Application: Normalizing PolicyAppendix: Being Earnest on BankingEconLowdown Module "The Great Depression 6".

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 52 / 62

Figure: Great Recession and Post 9/11 Negative Real Interest Rates (Green) vs.FFR (Blue) and CPI in�ation at a monthly frequency (Red).

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 53 / 62

Fed Caused Lost Decade?Purple line (Total Assets) - (MBS) follows Red (Excess Reserves)

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 54 / 62

Fed�s Assets Minus MBS & Excess Res.= 0

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 55 / 62

Interest on Excess Reserves Forces Down Real Interest Rt.

Figure: Loan Ratio (Blue) & Real Int.Rt (Red)Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 56 / 62

Figure: Loan to Demand Deposit Ratios: Consumer Loans Ratio in Red;Commercial and Industrial Loans Ratio in Blue.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 57 / 62

When E¤ective Ceiling Imposed On Real Interest Rate

31 32 33 34 35 361.00

1.02

1.04

1.06

1.08

K1 Capital

1+r

Excess Demand For Capital

Figure: Savings and Investment: Aggregate Supply and Demand for Capital kWith Real Interest Rate Ceiling

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 58 / 62

Fed�s Shift out of Supply of Capital through the OpenMarket Purchases of US Treasury or Treasury backedSecurities: Creating the Bank System�s Excess Reserves ."Excess Reserves" That Fed Supplied Buying Treas Debt

31 32 33 34 35 36 37 381.00

1.02

1.04

1.06

1.08

K1 Capital

1+r

Excess Reserves

Figure:Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 59 / 62

Capital Tax Wedge on Priv Invest. with High r forInvestmentLow r for Savings: Dead Weight Triangle Loss of Welfare

31 32 33 34 35 36 37 381.00

1.02

1.04

1.06

1.08

K1 Capital

1+r

Excess Reserves

Figure: "Deadweight Loss Triangle"Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 60 / 62

View of Wedge in Gen Equil CCAPMBrown Indi¤ Curve CUTS Prod Funct at Low Diversi�cation Level

0.0 0.2 0.4 0.6 0.8 1.00.00

0.05

0.10

0.15

0.20

0.25

Capital at Risk

Capital Yield

Figure: Optimal Portfolio Diversi�cation between Market Portfolio (Tangency)and "Risk-free" Government Debt.

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 61 / 62

Economy�s Python Digestion of Prickly ProblemPorcupine Eaten?: Prickly Future In�ation

Figure: US Economy�s Python

Gillman (Federal Reserve Bank of St. Louis) With FRED and EconLowdown 3-4 November 2016 62 / 62


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