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.

Another Look to the Price-Dividend Ratio: A Markov-Switching Approach

This paper analyzes the stationarity of this ratio in the context of a Markov-switching model à la Hamilton (1989) where an asymmetric speed of adjustment is introduced. This particular specification robustly supports a nonlinear reversion process and identifies two relevant episodes: the post-war period from the mid-50’s to the mid-70’s and the so called “90’s boom” period. A three-regime Markov-switching model displays the best regime identification and reveals that only the first part of the 90’s boom (1985-1995) and the post-war period are near-nonstationary states. Interestingly, the last part of the 90’s boom (1996-2000), characterized by a growing price-dividend ratio, is entirely attributed to a regime featuring a highly reverting process.

An Alternative View of the US Price-Dividend Ratio Dynamics

As a necessary condition for the validity of the present value model, the price-dividend ratio must be stationary. However, significant market episodes seem to provide evidence of prices significantly drifting apart from dividends while other episodes show prices anchoring back to dividends. This paper investigates the stationarity of this ratio in the context of a Markov- switching model à la Hamilton (1989) where an asymmetric speed of adjustment towards a unique attractor is introduced. A three-regime model displays the best regime identification and reveals that the first part of the 90’s boom (1985-1995) and the post-war period are characterized by a stationary state featuring a slow reverting process to a relatively high attractor. Interestingly, the latter part of the 90’s boom (1996-2000), characterized by a growing price-dividend ratio, is entirely attributed to a stationary regime featuring a highly reverting process to the attractor. Finally, the post-Lehman Brothers episode of the subprime crisis can be classified into a temporary nonstationary regime.

Tax Reform and Payout Policy:Do Shareholder Clienteles or Payout Policy Adjust?

Changes in taxation of corporate dividends offer excellent opportunities to study dividend clientele effects. We explore payout policies and ownership structures around a major tax reform that took place in Finland in 2004. Consistent with dividend clienteles affecting firms’ dividend policy decisions, we find that Finnish firms altered their dividend policies based on the changed tax incentives of their largest shareholders. While firms adjust their payout policies, our results also indicate that ownership structures of Finnish firms also changed around the 2004 reform, consistent with shareholder clienteles adjusting to the new tax system.

The accuracy of the escrowed dividend model on the value of European options on a stock paying discrete dividend

This project characterizes the accuracy of the escrowed dividend model on the value of European options on a stock paying discrete dividend. A description of the escrowed dividend model is provided, and a comparison between this model and the benchmark model is realized. It is concluded that options on stocks with either low volatility, low dividend yield, low ex-dividend to maturity ratio or that are deep in or out of the money are reasonably priced with the escrowed dividend model.

Bank dividends and signaling to information-sensitive depositors

Esta tese investiga se a composição do endividamento dos bancos afeta sua política de dividendos. Identificou-se que investidores sensíveis a informações (investidores institucionais) são alvos de sinalização através de dividendos por parte dos bancos. Utilizando uma base de dados exclusiva de bancos brasileiros, foi possível identificar vários tipos de credores, especificamente, investidores institucionais, empresas não financeiras e pessoas físicas, que são alvos potenciais de sinalização por dividendos. Adicionalmente, a existência de vários bancos de capital fechado, controlados e geridos por um pequeno grupo de acionistas, em que a sinalização direcionada a acionistas é implausível, permite inferir que bancos que utilizam mais fundos de investidores sensíveis a informações (institucionais) pagam mais dividendos, controlando por diversas características. Durante a crise financeira, este comportamento foi ainda mais pronunciado. Esta relação reforça o papel dos dividendos como uma forma custosa e crível de comunicar sobre a qualidade dos ativos dos bancos. A hipótese de que os dividendos podem ser utilizados como uma forma de expropriação dos depositantes por parte dos acionistas é refutada, uma vez que, se fosse esse o caso, observar-se-ia esse maiores dividendos em bancos com depositantes menos sensíveis a informação. Além disso, foi verificada uma relação negativa entre o pagamento de dividendos e o custo de captação (juros pagos em certificados de depósito bancário) e uma relação positiva de dividendos com o tamanho e com os lucros passados, e que os bancos de capital fechado pagam mais dividendos do que os de capital aberto, uma descoberta que também se alinha com a ideia de que os depositantes seriam os alvos da sinalização por dividendos. Finalmente, encontrou-se também uma relação negativa entre dividendos e adequação de capital do bancos, o que indica que pressões regulatórias podem induzir os bancos a pagar menos dividendos e que o pagamento de dividendos é negativamente relacionado com o crescimento da carteira de crédito, o que é consistente com a ideia de que os bancos com maiores oportunidades de investimento retêm seus lucros para aumentar seu patrimônio líquido e sua capacidade de conceder crédito.

The effect of past earnings and dividend patterns on the information content of dividends when earnings are reduced

This study pursues two objectives: first, to provide evidence on the information content of dividend policy, conditional on past earnings and dividend patterns prior to an annual earnings decline; second, to examine the effect of the magnitude of low earnings realizations on dividend policy when firms have more-or-less established dividend payouts. The information content of dividend policy for firms that incur earnings reductions following long patterns of positive earnings and dividends has been examined (DeAngelo et al., 1992, 1996; Charitou, 2000). No research has examined the association between the informativeness of dividend policy changes in the event of an earnings drop, relative to varying patterns of past earnings and dividends. Our dataset consists of 4,873 U.S. firm-year observations over the period 1986-2005. Our evidence supports the hypotheses that, among earnings-reducing or loss firms, longer patterns of past earnings and dividends: (a) strengthen the information conveyed by dividends regarding future earnings, and (b) enhance the role of the magnitude of low earnings realizations in explaining dividend policy decisions, in that earnings hold more information content that explains the likelihood of dividend cuts the longer the past earnings and dividend patterns. Both results stem from the stylized facts that managers aim to maintain consistency with respect to historic payout policy, being reluctant to proceed with dividend reductions, and that this reluctance is higher the more established is the historic payout policy. © 2010 The Authors. Journal compilation © 2010 Accounting Foundation, The University of Sydney.

Mixing colours: An ICT tool based on a semiotic framework for mathematical meaning-makng about ratio and fractions

This paper reports on the research and development of an ICT tool to facilitate the learning of ratio and fractions by adult prisoners. The design of the ICT tool was informed by a semiotic framework for mathematical meaning-making. The ICT tool thus employed multiple semiotic resources including topological, typological, and social-actional resources. The results showed that individual semiotic resource could only represent part of the mathematical concept, while at the same time it might signify something else to create a misconception. When multiple semiotic resources were utilised the mathematical ideas could be better learnt.