Programma dei corsi I semestre
PRECORSI
Gli esami si svolgeranno il 10 ottobre 2000 e il 13 ottobre
2000.
MATEMATICA
Docente: Dr.ssa Elisabetta Tessitore
- Algebra lineare: vettori e matrici.
- Studio di funzioni: derivazione, integrazione, massimi e minimi liberi
e vincolati.
- Equazioni differenziali del primo ordine: a variabili separabili,
lineari a coefficienti variabili.
- Equazioni differenziali lineari di ordine superiore a coefficienti
costanti.
- Equazioni alle differenze lineari a coefficienti costanti.
Testi di riferimento:
- Howard Anton, "Elementary linear algebra", John Wiley.
- Alpha Chiang, "Introduzione all'economia matematica", Bollati Boringhieri.
- E. Giusti: Analisi matematica 1e2, Boringhieri
Torna all'indice dei Programmi
PROBABILITA'
Docente: Dr. Roberto Monte
- Insieme dei possibili esiti di un esperimento aleatorio
- Algebre di eventi
- Nozione "naive" di probabilità
- Elementi di calcolo combinatorio
- Statistiche di Bose-Einstein, Fermi-Dirac e Maxwell-Boltzman
- Spazi di probabilità finiti, la probabilità come misura, cenni
al caso di spazi di probabilità infiniti
- Eventi indipendenti
- Probabilità condizionata
- Formula della probabilità totale e formula di Bayes
- Variabili aleatorie discrete, funzioni di ripartizione, densità
- Densità bernoulliana, binomiale, e di Poisson
- Speranza e varianza di una variabile aleatoria
- Speranza e varanza di variabili aleatoria a densità bernoulliana,
binomiale, e di Poisson
- Variabili aleatorie indipendenti
- Covarianza e correlazione di variabili aleatorie
- Speranza condizionata di una variabile aleatoria
- Funzioni caratteristiche
- Elementi di statistica, campionamento infinito e finito
- Statistiche elementari, media e varianza campionaria
- Applicazioni
Testi di riferimento:
- Chung, A Course in probability theory, Probability and
Mathematical Statistics series, Jonh Wiley & Sons
- Fisz, Probability Theory and Mathematical Statistics, Probability
and Mathematical Statistics series, Jonh Wiley & Sons
- Donato Michele Cifarelli, Introduzione al calcolo delle
probabilità, McGraw-Hill Italia
- Baldi, Calcolo delle Probabilità e Statistica, McGraw-Hill Italia
- Giorgio Dall'Aglio, Calcolo delle Probabilità, Zanichelli
- Baldi, Giuliano, Ladelli, Laboratorio di probabilità e statistica
matematica, McGraw-Hill Italia
Torna all'indice dei Programmi
I
SEMESTRE
Gli esami si svolgeranno tra il 17 gennaio 2000 e il 4
Febbraio 2000.
MACROECONOMIA
Course Coordinator: Prof. Giancarlo Marini
Teaching Staff:
- A.Dalmazzo (University of Siena)
- G.Marini (University of Rome Tor Vergata)
- F.Mattesini (University of Rome Tor Vergata)
- A. Petrucci (University of Molise)
- P.Scaramozzino (University of London)
- R. Waldmann (University of Rome Tor Vergata)
Teaching Assistant:
- P. Senesi (University of Tor Vergata)
Closed Economy Models
- Expectations, Cycles and the Neutrality of Money: Neo-keynesian
Rational Expectations Models. Econometric Policy Evaluation
- Time consistency and Optimal Monetary Policy
- Introduction to Real Business Cycle Models
- Public Debt and Economic Activity
- Dynamic Optimization
- Consumption and Investment
- Growth Theory
- Externalities, Human Capital and Endogenous Growth
- Monopolistic Competition and Monetary Policy
- Monetary transmission mechanisms
- Strategic Complementarity and Multiple Equilibria
Reference Books:
- P. Aghion and P. Howitt (1998), Endogenous growth theory, MIT
Press
- F. Bagliano and G.Bertola (1999), Metodi dinamici e fenomeni
macroeconomici, Il Mulino
- R.J.Barro and X. Sala-́-Martin, Economic Growth (1995),
McGraw-Hill
- O.J.Blanchard and S.Fischer, Lectures in Macroenomics (1989), MIT
Press.
- Chiang, A.C. (1992), Elements of Dynamic Optimization, New York,
McGraw-Hill
- Deaton, A. (1992), Understanding Consumption, Oxford, Clarendon
Press
- D.Romer, Advanced Macroeconomics, McGraw-Hill, 2000
- Solow, R.M. (1992), Siena Lectures on Endogenous Growth Theory,
Università di Siena, Dipartimento di Economia Politica.
Suggested reading list:
- Aghion, P., e Howitt, P. (1992), "A Model of Growth through
Creative Destruction", Econometrica, Vol. 60, No. 2, March, pp.
323-351.
- Abel, A. (1988), "Consumption and Investment", in B.
Friedman and F. Hahn (eds.), Handbook of Monetary Economics,
Amsterdam, North-Holland.
- Akerlof and Yellen (1985), "A Near-Rational Model of the
Business Cycle with Wage and Price Inertia", Quarterly Journal
of Economics, p.823-838.
- D. Backus e J. Driffil, (1985), "Inflation and Reputation",
American Economic Review
- R.J. Barro, 1974, "Are Government Bonds Net Wealth?",
Journal of Political Economy
- R.J. Barro e D.B. Gordon, 1983, "Rules, Discretion and
Reputation in a Model of Monetary Policy", Journal of Monetary
Economics
- Bernanke B.S. and Gertler M. (1995) Inside the Black Box: the
Credit Channel of Monetary TransmissionJournal of Economic
Perspectives vol 9. no.4, Fall, 27-48
- O.J. Blanchard, 1981, "Output, the Stock Market, and Interest
Rates", American Economic Review, 71, 132-143
- O.J. Blanchard, 1985, "Debt, Deficits and Finite Horizons",
Journal of Political Economy
- Blanchard and Kiyotaki (1987), "Monopolistic Competition and
the Effects of Aggregate Demand", American Economic Review,
p.647-666.
- A.S, Blinder e S. Fischer, 1981, "Inventories, Rational
Expectations and the Business Cycle", Journal of Monetary
Economics, 8, 277-304.
- Blundell, R., S. Bond, M. Devereux and F. Schiantarelli (1992),
"Investment and Tobin's Q", Journal of Econometrics, Vol.
51, No. 1/2, Jan./Feb., pp. 233-257.
- W.H. Buiter, 1988, "Death, Birth, Productivity Growth and
Debt Neutrality", Economic Journal
- W.H. Buiter, 1989, "After the New Classical Macroeconomics",
in Macroeconomic Theory and Stabilisation Policy, Manchester
University Press.
- G. Calvo, 1978, "On the Time Consistency of Optimal Policy in
a Monetary Economy", Econometrica
- Chirinko, R.S. (1993), "Business Fixed Investment Spending:
Modeling Strategies, Empirical Results, and Policy Implications",
Journal of Economic Literature, Vol. 31, December, pp. 1875-1911.
- Cooper and John (1988), "Coordinating Coordination Failures
in Keynesian Models", Quarterly Journal of Economics,
p.441-463.
- Diamond P. (1982), "Aggregate Demand Management in Search
Equilibrium", Journal of Political Economy, p.881-894 (Search
& Trade Externalities).
- S. Fischer, 1977, "Long-Term Contracts, Rational Expectations,
and the Optimal Money Supply Rule", Journal of Political
Economy, 85, pp. 191-206.
- Hall, R.E. (1978), "Stochastic Implications of the Life-Cycle
- Permanent Income Hypothesis: Theory and Evidence", Journal of
Political Economy, Vol. 86, pp. 971-987.
- Hubbard, R.G. (1998), "Capital-Market Imperfections and
Investment", Journal of Economic Literature, Vol. 36, March,
pp. 193-225.
- Kashyap A.K and Stein J.C. (1994) Monetary Policy and Bank Lending,
in: Mankiw N.G.(ed) Monetary Policy, University of Chicago Press,
Chicago.
- F.E. Kydland e E.C. Prescott, 1977, "Rules Rather than
Discretion: the Inconsistency of Optimal Plans", Journal of
Political Economy
- J.B. Long e C.I. Plosser, 1982, "Trends and Random Walks in
Macroeconomic Time Series", Jounal of Monetary Economics
- R.E. Lucas, 1972, "Expectations and the Neutrality of Money",
Journal of Economic Theory, pp. 103-124.
- R.E. Lucas, 1973, "Some International Evidence on
Output-Inflation Trade-Offs", American Economic Review, 63, pp.
326-334.
- R.E. Lucas, 1976, "Econometric Policy Evaluation - A Critique",
Journal of Monetary Economics, Supplemento.
- Lucas, R.E. Jr. (1988), "On the Mechanics of Economic
Development", Journal of Monetary Economics, Vol. 22, pp. 3-42.
- Lucas, R.E. Jr. (1993), "Making a Miracle", Econometrica,
Vol. 61, No. 2, March, pp. 251-272.
- R.E. Lucas and T.J. Sargent, "After Keynesian Macroeconomics"
in Lucas e Sargent (a cura di), op. cit.
- P.J. Miller (ed.), 1994, The Rational Expectations Revolution, MIT
Press.
- J.F. Muth, 1961, "Rational Expectations and the Theory of
Price Movements", Econometrica, 29, pp. 315-355
- C.R. Nelson e C.I. Plosser, 1983, "Real Business Cycles",
Journal of Political Economy
- C.I. Plosser, 1989, "Understanding Real Business Cycles",
Jounal of Economic Perspectives
- K. Rogoff, 1985, "The Optimal Degree of Commitment to an
Intermediate Monetary Target", Quarterly Journal of Economics
- T.J. Sargent e N. Wallace, 1975, "Rational Expectations, the
Optimal Monetary Instrument and the Optimal Money Supply Rule",
Journal of Political Economy, 83Scaramozzino, P. (1997), "Investment
Irreversibility and Finance Constraints", Oxford Bulletin of
Economics and Statistics, Vol. 59, No. 1, pp. 89-108.
- J. Stiglitz, 1997, "Reflections on the Natural Rate
Hypothesis", Journal of Economic Perspectives
- J. Taylor, 1980, "Aggregate Dynamics and Staggered Contracts",
Journal of Political Economy, Febbraio.
- C.E. Walsh, 1995, "Optimal Contracts for Central Bankers",
American Economic Review
- P. Weil, 1991, "Overlapping Families of Infinitely Lived
Agents", Journal of Public Economics
Open Economy Models
- National and International Money
- International Monetary Systems: The Gold Standard, Bretton-Woods,
The EMS
- Exchange Rate Volatility and Equilibrium Models
- The Monetary Approach to the Balance of Payments
- Sticky Prices and Overshooting
- Portfolio Models of Exchange Rate Determination
- Speculative Attacks and Currency Crises
Reference Books:
- P. De Grauwe, International Money (1996), Oxford University Press
- B. T. McCallum, International Monetary Economics (1996), Oxford
University Press
- M. Obstfeld and K. Rogoff, Foundations of International
Macroeconomics (1996), MIT Press
- Jones, R.and Kenen, P. (1985), Handbook of International Economics,
North Holland, Amsterdam.
- G. Grossman and Rogoff, K. (eds.) (1996), Handbook of
International Economics, vol. III, North Holland, Amsterdam
- S. Turnovsky, (1997), International Macroeconomics Dynamics, MIT
Press, Cambridge (MA)
- F. Van der Ploeg, (1994), The Handbook of International
Macroeconomics, Basil Blackwell, Oxford.
Suggested reading list:
- Branson, W.H. (1979), "Exchange Rate Dynamics and Monetary
Policy", in Lindbeck A., Inflation and Employment in Open
Economies, North-Holland.
- Brock, P. - Turnovsky, S.J. (1994), "The Dependent Economy
Model with Traded and Nontraded Capital Goods", Review of
International Economics, 2, 306-325.
- Burnside, C., Eichenbaum, M., Rebelo, S. (2000),"On the
fundamentals of Self-Fulfilling Speculative Attacks", NBER
working paper, n.6758.
- Calvo, G.A. (1985), "Currency Substitution and the Real
Exchange Rate: the Utility Maximization Approach", Journal of
International Money and Finance, 4, 175-188.
- Dornbusch, R. (1976), "Expectations and Exchange Rate
Dynamics", Journal of Political Economy, 84, 1161-1176.
- Flood, R.P.-Garber, P. (1984), "Collapsing Exchange Rates
Regimes: Some Linear Examples", Journal of International
Economics, 17, 1-13.
- Flood, R.P-Marion, N.P. (1998), "Perspectives on the Recent
Currency Crisis Literature", IMF working paper, n.130, sept.
- Karayalcin, C. (1999), "Temporary and Permanent Government
Spending in a Small Open Economy", Journal of Monetary
Economics, 43, 125-141.
- Murphy, R.G. (1991), "Macroeconomic Adjustment under
Alternative Lending Arrangements", Journal of Economic Dynamics
and Control, 15, 103-127.
- Obstfeld, M. (1996), "Models of Currency Crises with
Self-Fulfilling Features", EER, 40, 1037-1048
- Obstfeld, M.-Rogoff,K. (1995), "The Mirage of Fixed Exchange
Rates", Journal of Economic Perspectives, 9, 73-96.
- Taylor, M. (1995), "Exchange Rate Behavior", Journal of
Economic Literature, 33, 13-47.
- Turnovsky, S.J.-Sen, P. (1995), "Investment in a Two-Sector
Dependent Economy", Journal of Japanese and International
Economies, 9, 29-55.
- Velasco, A. (1997), "When are Fixed Exchange Rates Really
Fixed?", Journal of Development Economics, 37, 358-372
Torna all'indice dei Programmi
METODI
QUANTITATIVI
Coordinatore: Prof. Franco Peracchi
Docenti: Giuseppe Arbia, Maria Maddalena Barbieri, Brunero Liseo
Modulo I (Prof. Giuseppe
Arbia)
- Statistical models. Parametric statistical models. Examples of
paramateric models. Conditional parametric models. Non parametric
and semi parametric statistical models. Prediction problems. The
regression function. Linear predictors. Economic data and
statistical models. Typologies of economic data: cross-sections,
time series, spatial series, panel data.
- Sampling and nonsampling errors. Main sampling schemes (simple,
stratified). Nonsampling errors: unobserved heterogeneity, sample
selection, nonresponse and missing data, grouped observations,
measurement errors. Empirical examples of cross section data.
- Typologies of economic time series: low/high frequency data,
stock/flows. Stochastic processes and time series. Lag operators.
Expected values, stationarity and ergodicity. Non parametric
stochastic processes (Martingale, Markovian processes, Brownian
motion). Definition and properties of some remarkable parametric
stochastic processes (White noise; MA(1), MA(2), AR(1), AR(2),
ARMA(1,1), ARMA(p,q), ARMA-ARCH). Autocorrelation and partial
autocorrelation. Invertibility and causality. Sample autocorrelation.
Nonstationarity. Deterministic trends. Integrated processes.
Cointegration. Seasonality. Long-memory processes. Multivariate time
series. Example of economic time series data: National account data
and high frequency financial data.
- Typologies of economic spatial data. Random fields and spatial
data. Stationarity and ergodicity in two-dimensions. Spatial
autocorrelation. Definition and properties of some remarkable
parametric random fields (White noise; Conditional autoregressive).
Example of economic spatial data: Regional account data and the
European data base REGIO.
- Panel data: advantages with respect to pure cross-section or pure
time-series. Fixed and random effects models. Attrition and
new-entry. Examples of economic panel data: the Europanel.
Reading list
- Anselin, L. (1988) Spatial econometrics, Kluwer Academic
publishers, Dordrecht
- Arbia, G. (1989) Spatial data configuration in the statistical
analysis of regional economics, Kluwer Academic publishers,
Dordrecht.
- Arbia, G. (1996) Analisi econometrica di dati spaziali, Quaderni
di statistica, Università "G. d'Annunzio".
- Arbia, G. e G. Espa (1996) Statistica economica territoriale,
CEDAM, Padova.
- Azzalini A. (1996) Statistical inference based on likelihood,
Chapman & Hall, London.
- Baltagi, B. H. (1998) Econometrics, Springer Verlag, Berlin.
- Greene, W. H. (1997) Econometric analysis, Prentice Hall
International, London.
- Hamilton, J. D. (1994) Time series analysis, Princeton University
Press. Traduzione italiana: Econometria delle serie storiche (1995),
a cura di B. Sitzia, Monduzzi editore, Bologna.
- Harvey, A. C. (1994) Forecasting, structural time series models
and the Kalman filter, Cambridge University press, Cambridge.
- Peracchi, F. (2000) Econometrics, Mc Graw Hill.
- Spanos, A. (1986) Statistical foundations of econometric modelling,
Cambridge University Press.
Lecture schedule
- Weeks 1 to 3. Monday and Tuesday 11.30 to 13.30. Room TBA.
Torna all'indice dei Programmi
Modulo II (Prof.ssa Maria
Maddalena Barbieri)
- La funzione di verosimiglianza.
- Sufficienza.
- Logiche inferenziali: il principio del campionamento ripetuto, il
principio della verosimiglianza, il metodo bayesiano.
- Stime puntuali: stimatori e stime di un parametro.
- Metodi di costruzione degli stimatori: il metodo dei momenti, il
metodo dei minimi quadrati, il metodo della massima verosimiglianza.
- Criteri per la bontà di uno stimatore: errore quadratico medio,
distorsione, consistenza.
- Proprietà asintotiche di uno stimatore.
- Stimatori bayesiani: distribuzioni a priori non informative,
classi coniugate.
Testi di riferimento:
- Azzalini A.(1996), "Statistical Inference based on the likelihood",Chapman and
Hall,London
- Casella G. and Berger R.(1990), "Statistical Inference",Brooks & Cole
- Lee, P.M. (1997) Bayesian Statistics, Arnold, New York.
Torna all'indice dei Programmi
Modulo III (Prof. Brunero
Liseo)
- Aspetti generali: il lemma di Neyman e Pearson.
- Il ruolo della verosimiglianza nella costruzione di test
statistici: il test basato sul rapporto di massima verosimiglianza
generalizzato e sue proprietà asintotiche.
- Costruzione delle regioni di confidenza.
- La verifica di ipotesi statistiche da un punto di vista bayesiano.
Testi consigliati:
- Azzalini A. (1996), "Statistical Inference. Based on the
likelihood", Chapman and Hall, London
- Casella G. & Berger R. (1990), "Statistical Inference",
Brooks & Cole
- Lee P..(1997), "Bayesian Statistics: an introduction ",
(2nd ed.) Arnold, London.
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MICROECONOMIA
Coordinatore: Prof. F.C. Rosati
Docenti: Pietro Reichlin, Robert Waldmann, Sandro Brusco
Modulo I (Prof. Pietro
Reichlin): Teoria del
consumatore
- Preferenze e domanda (8 ore):
Relazioni di preferenza, funzione di utilita', prezzi, vincoli di
bilancio, domanda, interpretazione delle condizioni di ottimo,
utilita' indiretta, identita'di Roy, interpretazione del
moltiplicatore di Lagrange.
Testi di riferimento:
- H. Varian, Microeconomic Analysis, 3d ed., Norton, 1992, capp. 7,
8.
- Equazione di Slutsky e statica comparata (4 ore):
Problema di spesa minima, domanda hicksiana e funzione di spesa
minima, corrispondenza tra problema di massima utilita' e problema
di spesa minima, proprieta' ella funzione di spesa minima, matrice
di sostituzione per la domanda hicksiana, equazione di Slutzky e
matrice di sostituzione per la domanda marshalliana, surplus del
consumatore.
Testi di riferimento:
- H. Varian, Microeconomic Analysis, 3d ed., Norton, 1992, capp. 8,
10.
Torna all'indice dei Programmi
Modulo II (Prof. Robert
Waldmann): Teoria dei giochi Torna all'indice dei Programmi
Modulo III (Prof. Sandro Brusco):
Teoria dell'impresa Tecnologia
- Massimizzazione del profitto e mimizzazione dei costi Concorrenza
perfetta Monopolio
- Introduzione all' oligopolio
Testi di riferimento:
- Hal Varian (1984) Microeconomic Analysis, W.W. Norton &
Company, New York, capitoli 1 e 2.
- Andreu Mas Colell, Michael Whinston and Jerry Green (1995)
Microeconomic Theory, Oxford University Press, New York, capitoli 5
e 12.
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