Metodologías de valoración de empresas

La valoración de una empresa como sistema dinámico es bastante compleja, los diferentes modelos o métodos de valoración son una aproximación teórica y por consiguiente simplificadora de la realidad. Dichos modelos, se aproximan mediante supuestos o premisas estadísticas que nos permiten hacer dicha simplificación, ejemplos de estos, son el comportamiento del inversionista o la eficiencia del mercado. Bajo el marco de un mercado emergente, este proceso presenta de indistinta forma retos paracualquier método de valoración, dado a que el mercado no obedece a los paradigmas tradicionales. Lo anterior hace referencia a que la valoración es aún más compleja, dado que los inversionistas se enfrentan a mayores riesgos y obstáculos. Así mismo, a medida que las economías se globalizan y el capital es más móvil, la valoración tomaráaún más importancia en el contexto citado. Este trabajo de gradopretende recopilar y analizar los diferentes métodos de valoración, además de identificar y aplicar aquellos que se reconocen como “buenas prácticas”. Este proceso se llevó a cabo para una de las empresas más importantes de Colombia, donde fundamentalmente se consideró el contexto de mercado emergente y específicamente el sector petrolero, como criterios para la aplicación del tradicional DCF y el práctico R&V.

Heterogeneity and the formation of risk - sharing coalitions

We offer a new explanation of partial risk sharing based on coalition formation and segmentation of society in a risky environment, without assuming limited commitment and imperfect information. Heterogenous individuals in a society freely choose with whom they will share risk. A partition belonging to the core of the membership game obtains. Perfect risk sharing does not necessarily arise. Focusing on mutual insurance rule and assuming that individuals only differ with respect to risk, we show that the core partition is homophily-based. The distribution of risk affects the number and size of these coalitions. Individuals may pay a lower risk premium in riskier societies. A higher heterogeneity in risk leads to a lower degree of risk sharing. We discuss how the endogenous partition of society into risk-sharing coalitions may shed light on empirical evidence on partial risk sharing. The case of heterogenous risk aversion leads to similar results.

Commodity futures prices: more evidence on forecast power, risk premia and the theory of storage

In this paper, we examine the temporal stability of the evidence for two commodity futures pricing theories. We investigate whether the forecast power of commodity futures can be attributed to the extent to which they exhibit seasonality and we also consider whether there are time varying parameters or structural breaks in these pricing relationships. Compared to previous studies, we find stronger evidence of seasonality in the basis, which supports the theory of storage. The power of the basis to forecast subsequent price changes is also strengthened, while results on the presence of a risk premium are inconclusive. In addition, we show that the forecasting power of commodity futures cannot be attributed to the extent to which they exhibit seasonality. We find that in most cases where structural breaks occur, only changes in the intercepts and not the slopes are detected, illustrating that the forecast power of the basis is stable over different economic environments.

The lottery-panel task for bi-dimensional parameter-free elicitation of risk attitudes

We propose first, a simple task for the eliciting attitudes toward risky choice, the SGG lottery-panel task, which consists in a series of lotteries constructed to compensate riskier options with higher risk-return trade-offs. Using Principal Component Analysis technique, we show that the SGG lottery-panel task is capable of capturing two dimensions of individual risky decision making i.e. subjects’ average risk taking and their sensitivity towards variations in risk-return. From the results of a large experimental dataset, we confirm that the task systematically captures a number of regularities such as: A tendency to risk averse behavior (only around 10% of choices are compatible with risk neutrality); An attraction to certain payoffs compared to low risk lotteries, compatible with over-(under-) weighting of small (large) probabilities predicted in PT and; Gender differences, i.e. males being consistently less risk averse than females but both genders being similarly responsive to the increases in risk-premium. Another interesting result is that in hypothetical choices most individuals increase their risk taking responding to the increase in return to risk, as predicted by PT, while across panels with real rewards we see even more changes, but opposite to the expected pattern of riskier choices for higher risk-returns. Therefore, we conclude from our data that an “economic anomaly” emerges in the real reward choices opposite to the hypothetical choices. These findings are in line with Camerer's (1995) view that although in many domains, paid subjects probably do exert extra mental effort which improves their performance, choice over money gambles is not likely to be a domain in which effort will improve adherence to rational axioms (p. 635). Finally, we demonstrate that both dimensions of risk attitudes, average risk taking and sensitivity towards variations in the return to risk, are desirable not only to describe behavior under risk but also to explain behavior in other contexts, as illustrated by an example. In the second study, we propose three additional treatments intended to elicit risk attitudes under high stakes and mixed outcome (gains and losses) lotteries. Using a dataset obtained from a hypothetical implementation of the tasks we show that the new treatments are able to capture both dimensions of risk attitudes. This new dataset allows us to describe several regularities, both at the aggregate and within-subjects level. We find that in every treatment over 70% of choices show some degree of risk aversion and only between 0.6% and 15.3% of individuals are consistently risk neutral within the same treatment. We also confirm the existence of gender differences in the degree of risk taking, that is, in all treatments females prefer safer lotteries compared to males. Regarding our second dimension of risk attitudes we observe, in all treatments, an increase in risk taking in response to risk premium increases. Treatment comparisons reveal other regularities, such as a lower degree of risk taking in large stake treatments compared to low stake treatments and a lower degree of risk taking when losses are incorporated into the large stake lotteries. Results that are compatible with previous findings in the literature, for stake size effects (e.g., Binswanger, 1980; Antoni Bosch-Domènech & Silvestre, 1999; Hogarth & Einhorn, 1990; Holt & Laury, 2002; Kachelmeier & Shehata, 1992; Kühberger et al., 1999; B. J. Weber & Chapman, 2005; Wik et al., 2007) and domain effect (e.g., Brooks and Zank, 2005, Schoemaker, 1990, Wik et al., 2007). Whereas for small stake treatments, we find that the effect of incorporating losses into the outcomes is not so clear. At the aggregate level an increase in risk taking is observed, but also more dispersion in the choices, whilst at the within-subjects level the effect weakens. Finally, regarding responses to risk premium, we find that compared to only gains treatments sensitivity is lower in the mixed lotteries treatments (SL and LL). In general sensitivity to risk-return is more affected by the domain than the stake size. After having described the properties of risk attitudes as captured by the SGG risk elicitation task and its three new versions, it is important to recall that the danger of using unidimensional descriptions of risk attitudes goes beyond the incompatibility with modern economic theories like PT, CPT etc., all of which call for tests with multiple degrees of freedom. Being faithful to this recommendation, the contribution of this essay is an empirically and endogenously determined bi-dimensional specification of risk attitudes, useful to describe behavior under uncertainty and to explain behavior in other contexts. Hopefully, this will contribute to create large datasets containing a multidimensional description of individual risk attitudes, while at the same time allowing for a robust context, compatible with present and even future more complex descriptions of human attitudes towards risk.

Jump and variance risk premia in the S&P 500

We analyze the risk premia embedded in the S&P 500 spot index and option markets. We use a long time-series of spot prices and a large panel of option prices to jointly estimate the diffusive stock risk premium, the price jump risk premium, the diffusive variance risk premium and the variance jump risk premium. The risk premia are statistically and economically significant and move over time. Investigating the economic drivers of the risk premia, we are able to explain up to 63 % of these variations.

The forward- and the equity-premium puzzles: two symptoms of the same illness?

In this paper we revisit the relationship between the equity and the forward premium puzzles. We construct return-based stochastic discount factors under very mild assumptions and check whether they price correctly the equity and the foreign currency risk premia. We avoid log-linearizations by using moments restrictions associated with euler equations to test the capacity of our return-based stochastic discount factors to price returns on the relevant assets. Our main finding is that a pricing kernel constructed only using information on American domestic assets accounts for both domestic and international stylized facts that escape consumption based models. In particular, we fail to reject the null hypothesis that the foreign currency risk premium has zero price when the instrument is the own current value of the forward premium.

Dominância fiscal e suas implicações sobre a política monetária no Brasil: uma análise do período 1999 - 2005

O grau de liberdade da política monetária é uma questão muito relevante em um país que decide adotar um regime de metas inflacionárias e câmbio flutuante. Caso a autoridade monetária desse país não tenha liberdade para atuar, o regime de metas pode ser ineficiente. Em especial, caso esse país se encontre numa situação de Dominância Fiscal, a política monetária pode ter efeitos perversos sobre a relação dívida/PIB, aumentando seu prêmio de risco soberano e causando um aumento na probabilidade de default implícita em seus títulos soberanos. O intuito desse trabalho é realizar o teste de dominância a partir de um modelo proposto por Olivier Blanchard em 2004, e testar primeiro se o país se encontrava em dominância em 2002, 2003 e depois analisar o resultado desse modelo até novembro de 2005. Algumas modificações de variáveis utilizadas, medidas de risco e taxa de juros são propostas e é acrescido ao modelo um teste de estabilidade de coeficientes e a incerteza causada no período eleitoral em 2002. Além disso, é analisada a reação do Banco Central no período, para identificar se sua reação compartilhava da visão de dominância que o modelo original apresentava ou não. A conclusão é que o Brasil, mesmo após as alterações sugeridas, ainda se encontra numa situação de dominância fiscal segundo a descrição do modelo. Porém, o resultado final é cerca de 20% do originalmente observado em 2004, resultando em uma liberdade de atuação significativamente maior para a autoridade monetária no Brasil em 2002 e 2003. O Banco Central parece ter reagido a mudanças de expectativa de inflação e não parecia compartilhar um diagnóstico de dominância fiscal ao longo de 2002. As eleições foram significativas para explicar aumento da probabilidade de default, mas não alteram significativamente o resultado do teste após as mudanças de variáveis. A medida de risco proposta resulta em um modelo melhor para medir dominância no Brasil. A mensagem final é que o Brasil ainda precisa se preocupar com as restrições fiscais, mas elas são menores que o modelo original propunha.

Análise dos determinantes dos spreads soberanos dos países emergentes

O objetivo deste trabalho é estimar os efeitos da crise financeira recente sobre os spreads dos títulos soberanos dos países emergentes. Os resultados corroboram a visão de que a atual crise financeira teve um impacto significativo sobre a percepção de risco dos países emergentes, elevando o prêmio de risco. A taxa de crescimento da economia, a taxa de câmbio real, as reservas internacionais, as dívidas interna e externa e o VIX também afetaram significativamente os spreads soberanos. Por fim, mostramos que a percepção de risco do Brasil foi menos afetada pela crise que nos demais países emergentes.

Um teste de paridade coberta de juros, ajustada por prêmio de risco, para a economia brasileira entre 2007 e 2010

O conceito de paridade coberta de juros sugere que, na ausência de barreiras para arbitragem entre mercados, o diferencial de juros entre dois ativos, idênticos em todos os pontos relevantes, com exceção da moeda de denominação, na ausência de risco de variação cambial deve ser igual a zero. Porém, uma vez que existam riscos não diversificáveis, representados pelo risco país, inerentes a economias emergentes, os investidores exigirão uma taxa de juros maior que a simples diferença entre as taxas de juros doméstica e externa. Este estudo tem por objetivo avaliar se o ajustamento das condições de paridade coberta de juros por prêmios de risco é suficiente para a validação da relação de não-arbitragem para o mercado brasileiro, durante o período de 2007 a 2010. O risco país contamina todos os ativos financeiros emitidos em uma determinada economia e pode ser descrito como a somatória do risco de default (ou risco soberano) e do risco de conversibilidade percebidos pelo mercado. Para a estimação da equação de não arbitragem foram utilizadas regressões por Mínimos Quadrados Ordinários, parâmetros variantes no tempo (TVP) e Mínimos Quadrados Recursivos, e os resultados obtidos não são conclusivos sobre a validação da relação de paridade coberta de juros, mesmo ajustando para prêmio de risco. Erros de medidas de dados, custo de transação e intervenções e políticas restritivas no mercado de câmbio podem ter contribuído para este resultado.

The forward and the equity premium puzzles: two symptoms of the same illness?

The Forward Premium Puzzle (FPP) is how the empirical observation of a negative relation between future changes in the spot rates and the forward premium is known. Modeling this forward bias as a risk premium and under weak assumptions on the behavior of the pricing kernel, we characterize the potential bias that is present in the regressions where the FPP is observed and we identify the necessary and sufficient conditions that the pricing kernel has to satisfy to account for the predictability of exchange rate movements. Next, we estimate the pricing kernel applying two methods: i) one, du.e to Araújo et aI. (2005), that exploits the fact that the pricing kernel is a serial correlation common feature of asset prices, and ii) a traditional principal component analysis used as a procedure 1;0 generate a statistical factor modeI. Then, using on the sample and out of the sample exercises, we are able to show that the same kernel that explains the Equity Premi um Puzzle (EPP) accounts for the FPP in all our data sets. This suggests that the quest for an economic mo deI that generates a pricing kernel which solves the EPP may double its prize by simultaneously accounting for the FPP.

Nonparametric tail risk, macroeconomics and stock returns: predictability and risk premia

This paper proposes a new novel to calculate tail risks incorporating risk-neutral information without dependence on options data. Proceeding via a non parametric approach we derive a stochastic discount factor that correctly price a chosen panel of stocks returns. With the assumption that states probabilities are homogeneous we back out the risk neutral distribution and calculate five primitive tail risk measures, all extracted from this risk neutral probability. The final measure is than set as the first principal component of the preliminary measures. Using six Fama-French size and book to market portfolios to calculate our tail risk, we find that it has significant predictive power when forecasting market returns one month ahead, aggregate U.S. consumption and GDP one quarter ahead and also macroeconomic activity indexes. Conditional Fama-Macbeth two-pass cross-sectional regressions reveal that our factor present a positive risk premium when controlling for traditional factors.

Risky business: social media metrics and political risk analysis

A quantificação do risco país – e do risco político em particular – levanta várias dificuldades às empresas, instituições, e investidores. Como os indicadores econômicos são atualizados com muito menos freqüência do que o Facebook, compreender, e mais precisamente, medir – o que está ocorrendo no terreno em tempo real pode constituir um desafio para os analistas de risco político. No entanto, com a crescente disponibilidade de “big data” de ferramentas sociais como o Twitter, agora é o momento oportuno para examinar os tipos de métricas das ferramentas sociais que estão disponíveis e as limitações da sua aplicação para a análise de risco país, especialmente durante episódios de violência política. Utilizando o método qualitativo de pesquisa bibliográfica, este estudo identifica a paisagem atual de dados disponíveis a partir do Twitter, analisa os métodos atuais e potenciais de análise, e discute a sua possível aplicação no campo da análise de risco político. Depois de uma revisão completa do campo até hoje, e tendo em conta os avanços tecnológicos esperados a curto e médio prazo, este estudo conclui que, apesar de obstáculos como o custo de armazenamento de informação, as limitações da análise em tempo real, e o potencial para a manipulação de dados, os benefícios potenciais da aplicação de métricas de ferramentas sociais para o campo da análise de risco político, particularmente para os modelos qualitativos-estruturados e quantitativos, claramente superam os desafios.

Tail risk in the hedge fund industry

The dissertation goal is to quantify the tail risk premium embedded into hedge funds' returns. Tail risk is the probability of extreme large losses. Although it is a rare event, asset pricing theory suggests that investors demand compensation for holding assets sensitive to extreme market downturns. By de nition, such events have a small likelihood to be represented in the sample, what poses a challenge to estimate the e ects of tail risk by means of traditional approaches such as VaR. The results show that it is not su cient to account for the tail risk stemming from equities markets. Active portfolio management employed by hedge funds demand a speci c measure to estimate and control tail risk. Our proposed factor lls that void inasmuch it presents explanatory power both over the time series as well as the cross-section of funds' returns.

US Corporate Default Swap Valuation: The Market Liquidity Hypothesis and Autonomous Credit Risk

This paper develops a reduced form three-factor model which includes a liquidity proxy of market conditions which is then used to provide implicit prices. The model prices are then compared with observed market prices of credit default swaps to determine if swap rates adequately reflect market risks. The findings of the analysis illustrate the importance of liquidity in the valuation process. Moreover, market liquidity, a measure of investors. willingness to commit resources in the credit default swap (CDS) market, was also found to improve the valuation of investors. autonomous credit risk. Thus a failure to include a liquidity proxy could underestimate the implied autonomous credit risk. Autonomous credit risk is defined as the fractional credit risk which does not vary with changes in market risk and liquidity conditions.

Innovative tools to address drought risk in grazing lands

Drought spells can impose severe impacts in most vulnerable farms. It is well known that uninsured exposure exacerbates income inequality in farming systems. However, high administrative costs of traditional insurance hinder small farmers? access to risk management tools. The existence of moral hazard and systemic risk prevents the implementation of traditional insurance programs to address drought risk in rural areas. Innovative technologies like satellite images are being used to derive vegetation index which are highly correlated with drought impacts. The implementation of this technology in agricultural insurance may help to overcome some of the limitations of traditional insurance. However, basis risk has been identified as one of the main problems that hinder the acceptance of index insurance. In this paper we focus on the analyses of basis risk under different contract options in the grazing lands of the Araucanía region. A vegetation index database is used to develop an actuarial insurance model and estimate risk premiums for moderate and severe drought coverage. Risk premium sharply increases with risk coverage. In contrast with previous findings in the literature, our results are not conclusive and show that lowering the coverage level does not necessarily imply a reduction in basis risk. Further analyses of the relation between contract design and basis risk is a promising area of research that may render an important social utility for most vulnerable farming systems.