Capital Asset Price Model (CAPM) : uma aplicação ao mercado brasileiro de ações

Este trabalho tem por objetivo apresentar a fundamentação teórica e efetuar uma aplicação prática de uma das mais importantes descobertas no campo das finanças: o modelo de precificação de ativos de capital padrão, denominado de Capital Asset Price Model (CAPM). Na realização da aplicação prática, comparou-se a performance entre os retornos dos investimentos exigidos pelo referido modelo e os realmente obtidos. Foram analisadas cinco ações com a maior participação relativa na carteira teórica do Ibovespa e com retornos publicados de junho de 1998 a maio de 2001. Os dados foram obtidos da Economática da UFRGS e testados utilizando-se o Teste-t (duas amostras em par para médias) na ferramenta MS Excel. Os resultados foram tabelados e analisados, de onde se concluiu que, estatisticamente, com índice de confiança de 95%, não houve diferença de performance entre os retornos esperados e os realmente obtidos dos ativos objeto desta dissertação, no período estudado.

Asset Price Instability and Policy Responses: The Legacy of Liberalization

The problem of asset price bubbles, and more generally of instability in the financial system, has been a matter of concern since the 1980s but has only recently moved to the center of the macroeconomic policy debate. The main concern with bubbles arises when they burst, imposing losses on investors holding the bubble assets and potentially on the financial institutions that have extended credit to them. Asset price volatility is an inevitable consequence of financial market liberalization and, in extreme cases, generates asset price bubbles, the bursting of which can impose substantial economic and social costs. Policy responses within the existing liberalized financial system face daunting levels of uncertainty and risk. Given the pattern of increasing asset market volatility over recent decades and the policy issues highlighted in this paper, the future looks uncertain. Another significant cycle of asset price movements, especially in one of the major economies, could see a fundamental revision of thinking about the costs and benefits of liberalized financial systems.

Essays in asset price bubbles

This thesis studies the field of asset price bubbles. It is comprised of three independent chapters. Each of these chapters either directly or indirectly analyse the existence or implications of asset price bubbles. The type of bubbles assumed in each of these chapters is consistent with rational expectations. Thus, the kind of price bubbles investigated here are known as rational bubbles in the literature. The following describes the three chapters. Chapter 1: This chapter attempts to explain the recent US housing price bubble by developing a heterogeneous agent endowment economy asset pricing model with risky housing, endogenous collateral and defaults. Investment in housing is subject to an idiosyncratic risk and some mortgages are defaulted in equilibrium. We analytically derive the leverage or the endogenous loan to value ratio. This variable comes from a limited participation constraint in a one period mortgage contract with monitoring costs. Our results show that low values of housing investment risk produces a credit easing effect encouraging excess leverage and generates credit driven rational price bubbles in the housing good. Conversely, high values of housing investment risk produces a credit crunch characterized by tight borrowing constraints, low leverage and low house prices. Furthermore, the leverage ratio was found to be procyclical and the rate of defaults countercyclical consistent with empirical evidence. Chapter 2: It is widely believed that financial assets have considerable persistence and are susceptible to bubbles. However, identification of this persistence and potential bubbles is not straightforward. This chapter tests for price bubbles in the United States housing market accounting for long memory and structural breaks. The intuition is that the presence of long memory negates price bubbles while the presence of breaks could artificially induce bubble behaviour. Hence, we use procedures namely semi-parametric Whittle and parametric ARFIMA procedures that are consistent for a variety of residual biases to estimate the value of the long memory parameter, d, of the log rent-price ratio. We find that the semi-parametric estimation procedures robust to non-normality and heteroskedasticity errors found far more bubble regions than parametric ones. A structural break was identified in the mean and trend of all the series which when accounted for removed bubble behaviour in a number of regions. Importantly, the United States housing market showed evidence for rational bubbles at both the aggregate and regional levels. In the third and final chapter, we attempt to answer the following question: To what extend should individuals participate in the stock market and hold risky assets over their lifecycle? We answer this question by employing a lifecycle consumption-portfolio choice model with housing, labour income and time varying predictable returns where the agents are constrained in the level of their borrowing. We first analytically characterize and then numerically solve for the optimal asset allocation on the risky asset comparing the return predictability case with that of IID returns. We successfully resolve the puzzles and find equity holding and participation rates close to the data. We also find that return predictability substantially alter both the level of risky portfolio allocation and the rate of stock market participation. High factor (dividend-price ratio) realization and high persistence of factor process indicative of stock market bubbles raise the amount of wealth invested in risky assets and the level of stock market participation, respectively. Conversely, rare disasters were found to bring down these rates, the change being severe for investors in the later years of the life-cycle. Furthermore, investors following time varying returns (return predictability) hedged background risks significantly better than the IID ones.

Asset price bubbles and economic welfare

In this paper, we provide the first empirical evidence on whether or not asset price bubbles predict economic welfare. Using a time-series model, we show that asset price bubbles both positively and negatively predict economic welfare, although the evidence that asset price bubbles are welfare-enhancing is much stronger. These results are also robust to out-of-sample forecasting as well as to a predictive regression model augmented by structural break dates.

STABILITY ANALYSIS WITH APPLICATIONS OF A TWO-DIMENSIONAL DYNAMICAL SYSTEM ARISING FROM A STOCHASTIC MODEL FOR AN ASSET MARKET

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of the system is grounded upon a heterogeneous interacting agent model for a single risky asset market. An advantage of this construction procedure is that the resulting dynamical system becomes a macroscopic market model which mirrors the market quantities and qualities that would typically be taken into account solely at the microscopic level of modeling. The system`s parameters correspond to: (a) the proportion of speculators in a market; (b) the traders` speculative trend; (c) the degree of heterogeneity of idiosyncratic evaluations of the market agents with respect to the asset`s fundamental value; and (d) the strength of the feedback of the population excess demand on the asset price update increment. This correspondence allows us to employ our results in order to infer plausible causes for the emergence of price and demand fluctuations in a real asset market. The employment of dynamical systems for studying evolution of stochastic models of socio-economic phenomena is quite usual in the area of heterogeneous interacting agent models. However, in the vast majority of the cases present in the literature, these dynamical systems are one-dimensional. Our work is among the few in the area that construct and study analytically a two-dimensional dynamical system and apply it for explanation of socio-economic phenomena.

Determinants of stock price bubbles

In this paper we propose a cross-sectional model of the determinants of asset price bubbles. Using 589 firms listed on the NYSE, we find conclusive evidence that trading volume and share price volatility have statistically significant effects on asset price bubbles. However, evidence from sector-based stocks is mixed. We find that for firms belonging to electricity, energy, financial, and banking sectors, and for the smallest size firms, trading volume has a statistically significant and positive effect on bubbles. We do not discover any robust evidence of a statistically significant effect of share price volatility on bubbles at the sector-level.

Monetáris politikai tendenciák I. Eszköztárak (Tendencies in monetary policy I. - Asset prices)

A közgazdaságtan, szűkebben a monetáris politika előtt két elméleti és gyakorlati kihívást látok: a globális egyensúlytalanságoknak nevezett jelenséget és az eszközár problematikát. Előbbi a világgazdaságban koncentráltan fölhalmozódó adósságokat és követelésállományokat jelenti, utóbbi a banki és nem banki pénzügyi piacok folyamatainak lehetséges pénzügypolitikai vonatkozásaira utal. Mondandómat két cikkben fogalmazom meg. Ez az írás először a monetáris stabilitás és instabilitás kérdéskörét mutatja be történeti keretben, ami tekinthető mindkét aktuális témakör földolgozásához szükséges elméleti fölvezetőnek is. Ezt követi a monetáris politika és az eszközárak kapcsolatának vizsgálata. A következő cikk foglalkozik a globális egyensúlytalanságokkal. Azért választottam e sorrendet, mert a két téma szorosan összefügg, az itt leírt magyarázatok segíthetik a későbbiek megértését. Az írásban többször megfogalmazok saját véleményt, a hangsúly mégis a szakirodalom bemutatásán van. / === / Global imbalances and asset price booms and busts are the two main practical and theoretical challenges in economics, especially in monetary policy. The first of them concerns the accumulative tendencies of debts and claims in the world economy, the second challenge deals with the processes of bank and non bank money markets. These topics are dealt with in two articles. The first one presents the issue of monetary stability and instability from a historical perspective. With that the connections between monetary policy and asset prices will be studied. The next article will deal with global imbalances. The topics are closely related and this order helps better understanding. The articles are mainly based on the current literature although I insert my own views as well.

Asymptotic analysis of option pricing in a Markov modulated market

We address asymptotic analysis of option pricing in a regime switching market where the risk free interest rate, growth rate and the volatility of the stocks depend on a finite state Markov chain. We study two variations of the chain namely, when the chain is moving very fast compared to the underlying asset price and when it is moving very slow. Using quadratic hedging and asymptotic expansion, we derive corrections on the locally risk minimizing option price.

Forecasting high-frequency futures returns using online langevin dynamics

Forecasting the returns of assets at high frequency is the key challenge for high-frequency algorithmic trading strategies. In this paper, we propose a jump-diffusion model for asset price movements that models price and its trend and allows a momentum strategy to be developed. Conditional on jump times, we derive closed-form transition densities for this model. We show how this allows us to extract a trend from high-frequency finance data by using a Rao-Blackwellized variable rate particle filter to filter incoming price data. Our results show that even in the presence of transaction costs our algorithm can achieve a Sharpe ratio above 1 when applied across a portfolio of 75 futures contracts at high frequency. © 2011 IEEE.

Myopic Rationality in a Mania

The rationality of investors during asset price bubbles has been the subject of considerable debate. An analysis of the British Railway Mania, which occurred in the 1840s, suggests that investors may have been myopic, as their expectations were only accurate in the short-term, but they remained rational, as they acted in a utility maximising manner given their expectations. Investors successfully incorporated forecasts of short-term dividend changes into their valuations, but were unable to predict longer-term changes. When short-term growth is controlled for, it appears that the railways were priced consistently with the non-railways throughout the entire episode.

Dispelling the Myth of the Naive Investor during the British Railway Mania, 1845–46

Anecdotal evidence from the British Railway Mania and other historical financial bubbles suggests that many investors during such episodes are naive, thus contributing to the asset price boom. Using extensive investor records, we find that very few investors during the Railway Mania can be categorized as such. Although some interpretations of the Mania suggest that naive investors were expropriated by railway insiders, our evidence is inconsistent with this view as railway insiders contributed substantial amounts of capital, and their investments performed no better than those made by other experienced investors.

Optimal Time Series Momentum

We develop a continuous-time asset price model to capture the timeseries momentum documented recently. The underlying stochastic delay differentialsystem facilitates the analysis of effects of different time horizons used bymomentum trading. By studying an optimal asset allocation problem, we find thatthe performance of time series momentum strategy can be significantly improvedby combining with market fundamentals and timing opportunity with respect tomarket trend and volatility. Furthermore, the results also hold for different timehorizons, the out-of-sample tests and with short-sale constraints. The outperformanceof the optimal strategy is immune to market states, investor sentiment andmarket volatility.

Cross-country effects of regulatory capital arbitrage

One reason for the recent asset price bubbles in many developed countries could be regulatory capital arbitrage. Regulatory and legal changes can help traditional banks to move their assets off their balance sheets into the lightly regulated shadows and thus enable regulatory arbitrage through the securitized sector. This paper adopts a global vector autoregression (GVAR) methodology to assess the effects of regulatory capital arbitrage on equity prices, house prices and economic activity across 11 OECD countries/ regions. A counterfactual experiment disentangles the effects of regulatory arbitrage following a change in the net capital rule for investment banks in April 2004 and the adoption of the Basel II Accord in June 2004. The results provide evidence for the existence of an international finance multiplier, with about half of the countries overshooting U.S. impulse responses. The counterfactual shows that regulatory arbitrage via the U.S. securitized sector may enhance the cross-country reallocation of capital from housing markets towards equity markets.

Has the structural break slowed down growth rates of stock markets?

In this paper, we use the common structural break test suggested by Bai et al. (1998) to test for a common structural break in the stock prices of the US, the UK, and Japan. On the basis of the structural break, we divide each country's stock price series into sub-samples and investigate whether or not the structural break had slowed down the growth of stock markets. Our main findings are that when stock markets are modelled in a trivariate sense the common structural break turns out to be 1990:02, with the confidence interval including several episodes, such as the asset price bubble when housing prices and stock prices in Japan reached a peak in 1988/1989, the early 1990s recession in the UK, the business cycle peak of July 1990, the August 1990 Iraqi invasion of Kuwait and the March 1991 business cycle trough. Annual average growth rates suggest that the structural break has slowed down the growth rate of the US, the UK and Japanese stock markets.