Verificação e análise dos fatos estilizados no mercado de ações brasileiro

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

International price volatility and economic policy challenges in Latin America and the Caribbean

Includes bibliography

Economic growth and real volatility: The case of Latin America and the Caribbean

Using a new database of quarterly data for 21 countries of Latin America and the Caribbean for the 1990-2012 period, this document shows that the duration of GDP contractions appears to be a rather robust indicator of real volatility, and is negatively correlated with long run growth in Latin America and the Caribbean during the period. These results are consistent with different theoretical hypotheses in the literature that relate the duration of GDP contractions with economic growth. They also show that the relationship between real volatility and economic growth in the region is robust to the inclusion of external variables that control for external uncertainty and volatility.

Estudo e análise estatística no mercado de ações brasileiro

The objective of this paper is to verify and analyze the existence in Brazil of stylized facts observed in financial time series: volatility clustering, probability distributions with fat tails, the presence of long run memory in absolute return time series, absence of linear return autocorrelation, gain/loss asymmetry, aggregative gaussianity, slow absolute return autocorrelation decay, trading volume/volatility correlation and leverage effect. We analyzed intraday prices for 10 stocks traded at the BM&FBovespa, responsible for 52.1% of the Ibovespa portfolio on Sept. 01, 2009. The data analysis confirms the stylized facts, whose behavior is consistent with what is observed in international markets.

Firm Market Performance and Volatility in a National Real Estate Sector

We present empirical evidence using daily data for stock prices for 17 real estate companies traded in the Sao Paulo, Brazil stock exchange. from August 26, 2006 to March 31, 2010. We use the U.S. house price bubble, financial crisis and risk measures to instrument for momentums and reversals in the domestic real estate sector. We find evidence of conditional premium persistence and conditional volatility persistence in the market. We find that the conditional risk-return relationship in the sector is consistent with the prospect theory of risk attitudes in this period. Certain companies seem to be operating on a perceived potential industry return above the target, while most others are below the target, and the whole sector is below target on average. (C) 2011 Elsevier Inc. All rights reserved.

Il mercato e-MID: intraday e crisi finanziaria

Il lavoro di tesi ha l’obiettivo di dare seguito e profondità alle verifiche già condotte negli anni scorsi da Monticini e Baglioni, da Angelini e da Vento e La Ganga. Nel dettaglio nella serie storica dei tassi scambiati, sul comparto ON, del mercato e-Mid, riscontrano empiricamente che i tassi scambiati nelle prime ore del mattino sono in media superiori rispetto a quelli del pomeriggio. In pratica emerge un costo orario positivo. Il campione è costituito da 196.571 contratti eseguiti tra il 1 gennaio 2007 ed il 31 marzo 2009, sul comparto ON. Le analisi si sono concentrate sull’intensità del reversal patttern, oltre che su base giornaliera anche su base settimanale (day of the week) e su base mensile (month of the year effect). Le medesime analisi sono state condotte sull’ultimo giorno del periodo di mantenimento, e su particolari giorni che hanno scandito la crisi finanziaria. Per osservare la dinamica del reversal pattern prima e durante la crisi, le medesime verifiche sono condotte su tre sub campioni. Il primo considera tutti i contratti dall’inizio e fino all’8 agosto compreso; il secondo da quest’ultimo e fino al 12 settembre 2008 compreso; l’ultimo dal fallimento della Lehman e fino al 31 marzo 2009. I risultati confermano la presenza del reversal, per tutti i giorni e per tutti i mesi. Tuttavia quando il campione è suddiviso, le stime del primo campione, perdono di significatività, in particolare il giovedì ed il mese di febbraio. Sel medesimo periodo di campionamento al fine di verificare se il reversal pattern sia attribuire in parte anche alla liquidità del mercato, si è indagato su tutte le proposte in bid ed in offer, e dei relativi volumi, ovvero sul bid ask spread, il relativo prezzo medio ed i volumi. Anche in questo caso le analisi si sono concentrate oltre che sul campione originario, anche sui tre sub campioni in cui è stato successivamente suddiviso. . Quando infine si analizzano volumi e proposte, si nota innanzitutto che, al mattino, quando i prezzi scambiati sono maggiori il bid ask spread è minimo. Viceversa il pomeriggio quando il BAS è minore. La stessa dinamica si osserva per lo spread effettivo (SE), il quale è pari alla differenza tra prezzo medio delle contrattazioni e prezzo medio delle proposte. Infine i volumi sia delle proposte che delle contrattazioni, sono maggiori al mattino rispetto al pomeriggio e tendono a decrescere con l’intensificarsi della crisi. Inoltre i volumi in bid sono sempre maggiori rispetto a quelli in offer al mattino piuttosto che al pomeriggio.

Forward implied volatility expansions in LSV models

In this work we address the problem of finding formulas for efficient and reliable analytical approximation for the calculation of forward implied volatility in LSV models, a problem which is reduced to the calculation of option prices as an expansion of the price of the same financial asset in a Black-Scholes dynamic. Our approach involves an expansion of the differential operator, whose solution represents the price in local stochastic volatility dynamics. Further calculations then allow to obtain an expansion of the implied volatility without the aid of any special function or expensive from the computational point of view, in order to obtain explicit formulas fast to calculate but also as accurate as possible.

Pricing in stochastic-local volatility models with default

In recent years is becoming increasingly important to handle credit risk. Credit risk is the risk associated with the possibility of bankruptcy. More precisely, if a derivative provides for a payment at cert time T but before that time the counterparty defaults, at maturity the payment cannot be effectively performed, so the owner of the contract loses it entirely or a part of it. It means that the payoff of the derivative, and consequently its price, depends on the underlying of the basic derivative and on the risk of bankruptcy of the counterparty. To value and to hedge credit risk in a consistent way, one needs to develop a quantitative model. We have studied analytical approximation formulas and numerical methods such as Monte Carlo method in order to calculate the price of a bond. We have illustrated how to obtain fast and accurate pricing approximations by expanding the drift and diffusion as a Taylor series and we have compared the second and third order approximation of the Bond and Call price with an accurate Monte Carlo simulation. We have analysed JDCEV model with constant or stochastic interest rate. We have provided numerical examples that illustrate the effectiveness and versatility of our methods. We have used Wolfram Mathematica and Matlab.

Stochastic local volatility model for fx markets

Questa tesi verte sullo studio di un modello a volatilità stocastica e locale, utilizzato per valutare opzioni esotiche nei mercati dei cambio. La difficoltà nell'implementare un modello di tal tipo risiede nella calibrazione della leverage surface e uno degli scopi principali di questo lavoro è quello di mostrarne la procedura.

Orthogonal gamma-based expansions for volatility option prices under jump-diffusion dynamics

In my work I derive closed-form pricing formulas for volatility based options by suitably approximating the volatility process risk-neutral density function. I exploit and adapt the idea, which stands behind popular techniques already employed in the context of equity options such as Edgeworth and Gram-Charlier expansions, of approximating the underlying process as a sum of some particular polynomials weighted by a kernel, which is typically a Gaussian distribution. I propose instead a Gamma kernel to adapt the methodology to the context of volatility options. VIX vanilla options closed-form pricing formulas are derived and their accuracy is tested for the Heston model (1993) as well as for the jump-diffusion SVJJ model proposed by Duffie et al. (2000).