Optimal portfolio choice for a behavioural investor in continuous-time markets

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time financial market framework and assuming that asset prices are modelled by semimartingales, we derive sufficient and necessary conditions for the well-posedness of the optimisation problem in the case of piecewise-power probability distortion and utility functions. Finally, under straightforwardly verifiable conditions, we further demonstrate the existence of an optimal strategy.     

Optimal Investment Strategy to Minimize the Probability of Lifetime Ruin

Abstract

I study the problem of how individuals should invest their wealth in a risky financial market to minimize the probability that they outlive their wealth, also known as the probability of lifetime ruin. Specifically, I determine the optimal investment strategy of an individual who targets a given rate of consumption and seeks to minimize the probability of lifetime ruin. Two forms of the consumption function are considered: (1) The individual consumes at a constant (real) dollar rate, and (2) the individual consumes a constant proportion of his or her wealth. The first is arguably more realistic, but the second has a close connection with optimal consumption in Merton’s model of optimal consumption and investment under power utility.

For constant force of mortality, I determine (a) the probability that individuals outlive their wealth if they follow the optimal investment strategy; (b) the corresponding optimal investment rule that tells individuals how much money to invest in the risky asset for a given wealth level; (c) comparative statics for the functions in (a) and (b); (d) the distribution of the time of lifetime ruin, given that ruin occurs; and (e) the distribution of bequest, given that ruin does not occur. I also include numerical examples to illustrate how the formulas developed in this paper might be applied.     

Financial literacy and its consequences: Evidence from Russia during the financial crisis

The ability of consumers to make informed financial decisions improves their ability to develop sound personal finance. This paper uses a panel data set from Russia, an economy in which household debt has grown at an astounding rate, to examine the importance of financial literacy and its effects on behavior. The paper studies both the financial and real consequences of financial illiteracy. Even though consumer borrowing increased very rapidly in Russia, only 41% of respondents demonstrate an understanding of interest compounding and only 46% can answer a simple question about inflation. Financial literacy is positively related to participation in financial markets and negatively related to the use of informal sources of borrowing. Moreover, individuals with higher financial literacy are significantly less likely to report experiencing a negative income shock during 2009 and have greater availability of unspent income and higher spending capacity. The relationship between financial literacy and availability of unspent income is higher in 2009, suggesting that financial literacy may better equip individuals to deal with macroeconomic shocks.     

On the Distributional Conditions for a Consumption-oriented Three Moment CAPM

In this paper, we develop sufficient conditions on probability distributions for a three moment (mean, variance, and skewness) consumption-oriented capital asset pricing model (CAPM) to price correctly a subset of assets. The assumptions that individuals in an allocationally efficient capital market have identical probability beliefs and monotone increasing strictly concave utility functions displaying nonincreasing absolute risk aversion imply an aggregate preference function that exhibits preference for expected return, aversion to variance of return, and preference for positive skewness. For otherwise arbitrary preferences, we show that quadratic characteristic lines are sufficient for a subset of assets to be priced according to a three moment consumption-oriented CAPM.     

Performance and Policy of Foundation‐owned Firms in Germany

This paper compares performance and policy of foundation‐owned firms and of listed corporations in Germany. Foundations have no owners so that there exist no individuals with financial ownership claims on firms which are wholly owned by foundations. This suggests weaker outside control of foundation‐owned firms implying lower profitability. The empirical findings show a slightly better performance of foundation‐owned firms compared to corporations. Foundation‐owned firms display higher labour intensity, lower labour productivity, and lower salary levels. This policy promotes job security without endangering the viability of foundation‐owned firms.     

Portfolio optimization with a defaultable security

In this paper we derive a closed-form solution for a representative investor who optimally allocates her wealth among the following securities: a credit-risky asset, a default-free bank account, and a stock. Although the inclusion of a credit-related financial product in the portfolio selection is more realistic, no closed-form solutions to date are given in the literature when a recovery value is considered in the event of a default. While most authors have assumed some recovery scheme in their initial model set up, they do not address the portfolio problem with a recovery when a default actually occurs. Given the tractability of the recovery of market value, we solved the optimal portfolio problem for the representative investor whose utility function is a Constant Relative Risk Aversion utility function. We find that the investor will allocate larger fraction of wealth to the defaultable security as long as the default-event risk is priced. These results are very intuitive and reasonable since it indicates that if the default risk premium is not priced properly the investor purchases less defaultable securities.     

Non‐Monotonicity of the Tversky‐Kahneman Probability‐Weighting Function: A Cautionary Note

Cumulative Prospect Theory has gained a great deal of support as an alternative to Expected Utility Theory as it accounts for a number of anomalies in the observed behavior of economic agents. Expected Utility Theory uses a utility function and subjective or objective probabilities to compare risky prospects. Cumulative Prospect Theory alters both of these aspects. The concave utility function is replaced by a loss‐averse utility function and probabilities are replaced by decision weights. The latter are determined with a weighting function applied to the cumulative probability of the outcomes. Several different probability weighting functions have been suggested. The two most popular are the original proposal of Tversky and Kahneman and the compound‐invariant form proposed by Prelec. This note shows that the Tversky‐Kahneman probability weighting function is not increasing for all parameter values and therefore can assign negative decision weights to some outcomes. This in turn implies that Cumulative Prospect Theory could make choices not consistent with first‐order stochastic dominance.     

Electric Utility Stranded Costs: Valuation and Disclosure Issues

We analyze the stock market's valuation of electric utility "stranded costs" (i.e., costs that might become unrecoverable under deregulation), and investigate whether stranded costs that have arisen as a result of voluntary firm business decisions are valued differently from those that are more directly linked to regulatory mandates. Further, we study whether investor valuations differ across jurisdictions. Finally, we examine the relation between investor valuation of stranded costs and the decision by utilities to make stranded cost-related disclosures in their financial statements voluntarily.
We find that investors anticipate that, on average, approximately 10% of total stranded costs will be borne by utility shareholders. Stranded costs arising from voluntary operating or investing decisions made by utilities are valued more negatively than those associated with mandatory power purchase contracts, consistent with investors assigning a higher recovery probability to the latter. Investor valuations of stranded costs associated with utility generating investments do not differ systematically across jurisdictions. We find that stranded costs are valued less negatively for voluntary disclosers not just in the year of disclosure but also in the preceding two years, implying that it is not disclosure per se that favorably influences valuation. Voluntary disclosers operate in jurisdictions that have more clearly established stranded cost recovery mechanisms, suggesting that both stranded cost disclosure and valuation are prompted by reduction in uncertainty about recoverability.     

Employment Quota System and Labour Market Outcomes of Individuals with Disabilities: Empirical Evidence from South Korea

To date, only a few studies have attempted to evaluate the effectiveness of disability employment quota systems using structural changes in policies. This study exploits the structural changes in South Korea's disability employment quota system that took place in 2004 and 2006 to expand the current disability policy evaluation literature. We separate the effect of these changes in the quota system into their effect on the probability of labour force participation and their effect on the probability of employment (after controlling for selection into the labour market). We also study the extent to which the changes – which included increasing the number of employers covered by the quota system, the number of jobs available to individuals with disabilities and the financial incentives for employing individuals with disabilities – have affected job satisfaction among individuals with disabilities. Our results suggest that the changes in the quota system may have increased labour force participation but have had a limited positive impact on the probability of employment among people with disabilities in South Korea. Further, compulsory hiring and expanded opportunities have not substantially affected the level of job satisfaction observed among employees with disabilities relative to their non‐disabled counterparts.     

Access and use of financial markets for basic education expenses

As a result of the financial crisis of 2008, the macroeconomic adjustment has affected Mexican homes through greater unemployment and a drop in purchasing power. Moreover, families had to keep financing education costs, sometimes going into debt in the formal or informal financial market. The hypothesis of this article proposes that the access and use of formal and informal financial products makes it possible to reduce financial problems associated to education expenses at the basic education levels. The probit model is estimated with a sample comprised of four hundred homes in the municipality of San Pedro Cholula (state of Puebla). The results indicate that a worsening in the work conditions and the loss of employment are associated to a greater probability of facing financial difficulties. Likewise, the access to the formal financial market allows reducing the probability of facing these difficulties, whereas for the informal market the results are a function of the characteristics of each financial intermediary.     

CEO compensation, option incentives, and information disclosure

This paper examines the impact of information disclosure on the valuation of CEO options and the incentives created by those options. Prior executive compensation research in the US has made assumptions about key input variables that can affect the calculation of option values and financial incentives. Accordingly, biases may have ensued due to incomplete information disclosure about noncurrent option grants. Using new data on a sample of UK CEOs, we value executive option holdings and incentives for the first time and estimate the levels of distortion created by the less than complete US-style disclosure requirements. We also investigate the levels of distortion in the UK for the minority of companies that choose to reveal only partial information. Our results suggest that there have to date been few economic biases arising from less than complete information disclosure. Furthermore, we demonstrate that researchers using US data, who made reasonable assumptions about the inputs of noncurrent option grants, are unlikely to have made significant errors when calculating CEO financial incentives or option wealth. However, the recent downturn in the US stock market could result in the same assumptions, producing exaggerated incentive estimates in the future.     

Crude oil price volatility and equity return predictability: A comparative out-of-sample study

We evaluate the predictive power afforded by crude oil price volatility relative to widely used variables in the financial literature, such as the dividend yield, earnings-to-price ratio, the default yield spread as well several crude oil price-based variables. From a statistical viewpoint, predictions employing the suggested crude oil price volatility-based measures display a similar pattern as predictions using dividend ratios and interest rates, namely, they have relatively weak out-of-sample power. However, we find that gains in utility for an investor that uses predictions produced under the model employing crude oil price log-realized semivolatilities are statistically significant higher than an investor relying on predictions produced under the competitors as well as the historical average benchmark. We discuss and explain the reasons for our results. Overall, we argue that it is hard not to justify more attention to crude oil price semivolatilities relative to widely used financial and macroeconomic variables.     

Dynamic preferences for popular investment strategies in pension funds

In this paper, we characterize dynamic investment strategies that are consistent with the expected utility setting and more generally with the forward utility setting. Two popular dynamic strategies in the pension funds industry are used to illustrate our results: a constant proportion portfolio insurance (CPPI) strategy and a life-cycle strategy. For the CPPI strategy, we are able to infer preferences of the pension fund’s manager from her investment strategy, and to exhibit the specific expected utility maximization that makes this strategy optimal at any given time horizon. In the Black–Scholes market with deterministic parameters, we are able to show that traditional life-cycle funds are not optimal to any expected utility maximizers. We also prove that a CPPI strategy is optimal for a fund manager with HARA utility function, while an investor with a SAHARA utility function will choose a time-decreasing allocation to risky assets in the same spirit as the life-cycle funds strategy. Finally, we suggest how to modify these strategies if the financial market follows a more general diffusion process than in the Black–Scholes market.     

Beyond narrative disclosure tone: The upper echelons theory perspective

This study investigates the key drives of narrative tone in the UK context where managers have more flexibility to frame narratives with stakeholders. While prior studies examined firm-specific characteristics as determinants of narrative tone, the current study employs the upper echelons theory and focusses on top managers' characteristics. Using computerised textual analysis, our findings suggest that both observed and unobserved CEOs characteristics drive positive tone in the UK context and this relationship is moderated by corporate governance attributes. Specifically, older, female and financial expert CEOs display less positive tone. Considering psychological features, we find that narcissistic CEOs are more likely to display positive tone compared with non-narcissistic CEOs, however, this relationship declines in firms that have a higher independent board. Moreover, we found audit committee and board independence are negatively associated with positive tone. Additionally, we found more females on board increases the negative relationship between female CEOs and positive tone. These results have significant implications for top management, policy makers, regulators and the users of financial reporting.     

Australian Financial Graphs: An Empirical Study

The use of graphs to disclose financial information in corporate annual reports represents a significant dimension of financial disclosure management. This study replicates and extends previous research into financial graphs by documenting the nature and extent of graph use and departures from representational neutrality among the 1991 corporate annual reports of the top one hundred companies listed on the Australian Stock Exchange. Eighty-nine per cent of companies use graphs; the mean number is 9.4, with diversified companies using the most graphs. The most commonly graphed financial variables are sales, profit, EPS and DPS. Evidence is found that graph use is contingent upon favourable performance. In addition, material measurement distortion is found in 34 per cent of all key financial graphs. Eighty-six per cent of companies have slope parameters which depart more than 10° from the optimum, thus impairing communicative effectiveness. A range of design strategies are employed which are consistent with the adoption of an impression management schema. No persistent systematic differences between forms of distortion and industry group are found. Comparison with prior single-country studies reveals that graphs are used more extensively in Australia than in the U.S.A., the U.K. or Canada, but that there is less evidence of impression management. This latter finding is consistent with the view that there are fewer short-term and capital-market pressures in Australia.     

Determinants of Financial Distress Costs

This paper provides international evidence on financial distress costs. To achieve this aim, we have developed a model where financial distress costs are determined, on the one hand, by making use of a more accurate indicator of the probability of financial distress and, on the other, by a set of variables that, according to financial theory, explain the magnitude of the costs borne by a firm in the case of financial distress. Our results reveal the relevance of our improved indicator of the probability of financial distress, since it positively affects financial distress costs in all the countries analyzed. Furthermore, since our model controls for the probability of financial distress, we can test the trade-off between the benefits and costs of debt. This allows us to verify that the benefits debt outweigh the costs. Our results also indicate that distress costs are negatively related to liquid assets; hence, their benefits more than offset their opportunity costs.     

The supermartingale property of the optimal wealth process for general semimartingales

We consider an incomplete stochastic financial market where the price processes are described by a vector valued semimartingale that is possibly non locally bounded. We face the classical problem of utility maximization from terminal wealth, under the assumption that the utility function is finite-valued and smooth on the entire real line and satisfies reasonable asymptotic elasticity. In this general setting, it was shown in Biagini and Frittelli (Financ. Stoch. 9, 493–517, 2005) that the optimal claim admits an integral representation as soon as the minimax σ-martingale measure is equivalent to the reference probability measure. We show that the optimal wealth process is in fact a supermartingale with respect to every σ-martingale measure with finite generalized entropy, thus extending the analogous result proved by Schachermayer (Financ. Stoch. 4, 433–457, 2003) for the locally bounded case.      

Who gets credit after bankruptcy and why? An information channel

Conventional wisdom holds that individuals find it difficult to obtain new credit post-bankruptcy. Using credit bureau data, we test this hypothesis and show that more than 90% of bankrupt individuals receive credit shortly after filing. Individuals with good credit history prior to filing have reduced credit availability after bankruptcy while those with ex-ante low credit quality receive more credit. We show that credit supplied to low quality individuals is severely curtailed during the financial crisis. We also find that the default probability on new debt increases after bankruptcy, especially among individuals with high ex-ante credit score. These findings are consistent with an information channel, in which bankruptcy reveals new information about a borrower’s credit quality.     

Financial outreach and household financial constraint

This paper analyses how financial outreach affects the probability of households having financial constraint (i.e. being ‘discouraged’ and ‘rejected’ for loan applications). We show that households residing in communities with more bank branches are less likely to be financially constrained. Using the distance to the closest fruit and vegetable (open) market as an instrument for financial outreach, we address the potential endogeneity problem and find our results remain robust. We further provide evidence on the negative relationship between the number of bank branches nearby and the probability of loan rejection, in particular for middle‐income young households.