Brigo與Mercurio提出了三種新的資產價格過程，分別是位移CEV過程、位移對數常態過程與混合對數常態過程。在這三種過程中，資產價格的波動度不再是一個固定的常數，而是時間與資產價格的明確函數。而由這三種過程所推導出來的歐式選擇權評價公式，將會導致隱含波動度曲線呈現傾斜曲線或是微笑曲線，且提供了參數讓我們能夠配適市場的波動度結構。本文利用台指買權來實證Brigo與Mercurio所提出的三種歐式選擇權評價公式，我們發現校準結果以混合對數常態過程優於位移CEV過程，而位移CEV過程則稍優於位移對數常態過程。因此，在實務校準時，我們建議以混合對數常態過程為台指買權的評價模型，以達到較佳的校準結果。 / Brigo and Mercurio proposed three types of asset-price dynamics which are shifted-CEV process, shifted-lognormal process and mixture-of-lognormals process respectively. In these three processes, the volatility of the asset price is no more a constant but a deterministic function of time and asset price. The European option pricing formulas derived from these three processes lead respectively to skew and smile in the term structure of implied volatilities. Also, the pricing formula provides several parameters for fitting the market volatility term structure. The thesis applies Taiwan’s call option to verifying these three pricing formulas proposed by Brigo and Mercurio. We find that the calibration result of mixture-of-lognormals process is better than the result of shifted-CEV process and the calibration result of shifted-CEV process is a little better than the result of shifted-lognormal process. Therefore, we recommend applying the pricing formula derived from mixture-of-lognormals process to getting a better calibration.

The thesis tries to explain different nature of the dynamics during the upward and downward part of the last house price cycle in Spain, characterized by important rigidities. Covered bonds are introduced as an instrument which may accelerate a house price boom, while it may also serve as a source of correction to overvalued house prices in downturn. In a serious economic stress, lack of investment opportunities motivates investors to buy the covered bonds due to the strong guarantees provided, which may in turn help to revitalize the credit and housing markets. To address such regime shift, house price dynamics is modelled within a framework of mutually related house price, credit and business cycles using smooth transition vector autoregressive model. Linear behaviour of such system is rejected, indicating the need to model house prices in a nonlinear framework. Also, importance of modelling house prices in the context of credit and business cycles is confirmed. Possible causality from issuance of covered bonds to house price dynamics was identified in this nonlinear structure. Finally, threat to financial stability resulting from rising asset encumbrance both in the upward and downward part of the house price cycle was identified, stressing the need to model impact of the covered bonds on house prices in...

A stochastic model for the dynamics of a limit order book is evaluated and tested on empirical data. Arrival of limit, market and cancellation orders are described in terms of a Markovian queuing system with exponentially distributed occurrences. In this model, several key quantities can be analytically calculated, such as the distribution of times between price moves, price volatility and the probability of an upward price move, all conditional on the state of the order book. We show that the exponential distribution poorly fits the occurrences of order book events and further show that little resemblance exists between the analytical formulas in this model and the empirical data. The log-normal and Weibull distribution are suggested as replacements as they appear to fit the empirical data better.

Submitted by Joao Luiz Ayres Queiroz da Silva (jluizayres@gmail.com) on 2012-01-13T03:10:40Z No. of bitstreams: 1 TeseDoutorado_JoaoAyres_VersaoFinal_Eletronica.pdf: 529477 bytes, checksum: d6770f4fc6e8a2ced7e469151b866323 (MD5) / Approved for entry into archive by Andrea Virginio Machado (andrea.machado@fgv.br) on 2012-02-17T16:50:02Z (GMT) No. of bitstreams: 1 TeseDoutorado_JoaoAyres_VersaoFinal_Eletronica.pdf: 529477 bytes, checksum: d6770f4fc6e8a2ced7e469151b866323 (MD5) / Made available in DSpace on 2012-02-28T12:07:31Z (GMT). No. of bitstreams: 1 TeseDoutorado_JoaoAyres_VersaoFinal_Eletronica.pdf: 529477 bytes, checksum: d6770f4fc6e8a2ced7e469151b866323 (MD5) Previous issue date: 2011-07-26 / Esta tese tem como objetivo principal aproximar a evidencia empirica existente sobre os agregados macroeconomicos com as novas evidencias empiricas baseadas nos micro dados de precos ao consumidor, tendo como base os modelos padroes de rigidez de preco utilizados na literatura de politica monetaria. Para isso, esta tese utiliza a base de dados individuais de precos ao consumidor no Brasil fornecida pela Fundacao Getulio Vargas. Especificamente, esta tese foca em tres temas principais: a existencia de variac˜oes temporararias de precos, a heterogeneidade na rigidez de precos entre firmas de um mesmo setor e o formato das func˜oes hazard. Os resultados mostram que: existe de fato uma correlac˜ao entre as variaveis referentes as mudancas temporararias de precos e os agregados macroeconomicos; a heterogeneidade na rigidez de precos entre firmas de um mesmo setor apresenta efeitos significativos sobre a dinamica dos agregados macroeconomicos; e por fim, o formato mais geral da func˜ao hazard proposta nesta tese possibilita novas dinamicas dos agregados macroeconomicos. / This thesis has as its main goal to approximate the existing empirical evidence on macroeconomic aggregates with the new empirical evidences based on micro data on consumer prices, having as a baseline the standard sticky-price models used in the literature on monetary policy. In order to do that, this thesis makes use of a micro data on individual consumer prices in Brazil published by Getulio Vargas Foundation. Specifically, this thesis focus on three main issues: the existence of temporary price changes, the within-sector heterogeneity in price stickiness and the shape of hazard functions. The results show that: there exist a correlation between variables on temporary price changes and macroeconomic aggregates; the within-sector heterogeneity in price stickiness has significant effects on macroeconomic dynamics; and the more general specification of the shape of the hazard function that is proposed in this thesis leads to new dynamics for the macroeconomic aggregates.