Knowledge that Transforms

We study the sensitivity to estimation error of portfolios optimized under various risk measures, including variance, absolute deviation, expected shortfall and maximal loss. We introduce a measure of portfolio sensitivity and test the various risk measures by considering simulated portfolios of varying sizes N and for different lengths T of the time series. We find that the effect of noise is very strong in all the investigated cases, asymptotically it only depends on the ratio N/T, and diverges (goes to infinity) at a critical value of N/T, that depends on the risk measure in question. This divergence is the manifestation of a phase transition, analogous to the algorithmic phase transitions recently discovered in a number of hard computational problems. The transition is accompanied by a number of critical phenomena, including the divergent sample to sample fluctuations of portfolio weights. While the optimization under variance and mean absolute deviation is always feasible below the critical value of N/T, expected shortfall and maximal loss display a probabilistic feasibility problem, in that they can become unbounded from below already for small values of the ratio N/T, and then no solution exists to the optimization problem under these risk measures. Although powerful filtering techniques exist for the mitigation of the above instability in the case of variance, our findings point to the necessity of developing similar filtering procedures adapted to the other risk measures where they are much less developed or non-existent. Another important message of this study is that the requirement of robustness (noise-tolerance) should be given special attention when considering the theoretical and practical criteria to be imposed on a risk measure.

This paper investigates whether or not functionally diversified banks have a comparative advantage in terms of long-term performance/risk profile compared to their specialized competitors. To that end, this study uses market-based measures of return potential and bank risk. We calculate the franchise value over time of European banks as a measure of their long-run performance potential. In addition, we measure risk as both the systematic and the idiosyncratic risk components derived from a bank stock return model. Finally, we analyze the return/risk trade-off implied in different functional diversification strategies using a panel data analysis over the period 1989–2004. A higher share of non-interest income in total income affects banks’ franchise values positively. Diversification of revenue streams from distinct financial activities increases the systematic risk of banks while the effect on the idiosyncratic risk component is non-linear and predominantly downward-sloping. These findings have conflicting implications for different stakeholders, such as investors, bank shareholders, bank managers and bank supervisors.

We investigate how the benefits of international portfolio diversification differ across countries from the perspective of a local investor. We find that the benefits of investing abroad are largest for investors in developing countries, including when controlling for currency effects. Most of the benefits are obtained from investing outside the region of the home country. These global diversification benefits remain large when controlling for short-sales constraints in developing stock markets. The gains from international portfolio diversification appear to be largest for countries with high country risk. In addition to this cross-sectional evidence, we also provide evidence that diversification benefits vary over time as country risk changes. We find that diversification benefits have decreased for most countries in our sample over the past two decades.

This paper investigates the primary and secondary syndicated bank loan market to analyze the effect on pricing when the financial institution commingles syndicated lending with merger advisory services. In particular, we investigate the connection between the acquirer’s choice of financial advisor in a merger and future financing commitments. We find evidence of underpricing of syndicated bank loans in both the primary and secondary market. In the primary market, we show that non-acquisition loans granted by merger advisors to acquiring firms after the merger announcement date are charged a lower all-in-spread relative to acquisition loans if there has been a prior lending relationship. Consistent with this finding, we find that syndicated bank loans for non-acquisition purposes arranged by the acquirer’s advisor after the merger announcement date trade in the secondary market at a significant discount. Since the terms on these non-acquisition loans are not set upon merger announcement, they are most subject to risk shifting and underpricing agency problems. These findings offer evidence consistent with the existence of loss leader and potentially conflicted loans (priced at below-market terms) that are offered by the acquirer’s relationship bank advisor in order to win merger advisory business.

Using two large hedge fund databases, this paper empirically tests the presence and significance of a cross-sectional relation between hedge fund returns and value at risk (VaR). The univariate and bivariate portfolio-level analyses as well as the fund-level regression results indicate a significantly positive relation between VaR and the cross-section of expected returns on live funds. During the period of January 1995 to December 2003, the live funds with high VaR outperform those with low VaR by an annual return difference of 9%. This risk-return tradeoff holds even after controlling for age, size, and liquidity factors. Furthermore, the risk profile of defunct funds is found to be different from that of live funds. The relation between downside risk and expected return is found to be negative for defunct funds because taking high risk by these funds can wipe out fund capital, and hence they become defunct. Meanwhile, voluntary closure makes some well performed funds with large assets and low risk fall into the defunct category. Hence, the risk-return relation for defunct funds is more complicated than what implies by survival. We demonstrate how to distinguish live funds from defunct funds on an ex ante basis. A trading rule based on buying the expected to live funds and selling the expected to disappear funds provides an annual profit of 8–10% depending on the investment horizons.

This study examines the competitive conditions in the banking industries of eleven Latin American countries for the period 1993–2000. For these countries, the time interval under examination corresponds to an era characterized by substantial reforms to restructure their banking systems, increased consolidation and foreign bank penetration. The banks in our sample are found to be earning their revenues as if operating under monopolistic competition, as in many other developed and emerging financial systems. The results indicate that, overall, market concentration is not significantly related with competitive conduct. At the country level, however, we do observe a decline in competition for Brazil, Chile, and Venezuela in late 1990s which may be attributable to increased consolidation. Further, we observe that deregulation and opening up of the financial markets for foreign participation serves as an important catalyst to increase the competitiveness of banking markets. Higher degree of competition in the sector, in return, is associated with reduced bank margins and profitability but improved cost efficiency.

Local risk minimization and total risk minimization discrete hedging have been extensively studied for European options [e.g., Schweizer, M., 1995. Variance-optimal hedging in discrete time. Mathematics of Operation Research 20, 1–32; Schweizer, M., 2001. A guided tour through quadratic hedging approaches. In: Jouini, E., Cvitanic, J., Musiela, M., Option pricing, interest rates and risk management, Cambridge University Press, pp. 538–574]. In practice, hedging of options with American features is more relevant. For example, equity linked variable annuities provide surrender benefits which are essentially embedded American options. In this paper we generalize both quadratic and piecewise linear local risk minimization hedging frameworks to American options. We illustrate that local risk minimization methods outperform delta hedging when the market is highly incomplete. In addition, compared to European options, distributions of the hedging costs are typically more skewed and heavy-tailed. Moreover, in contrast to quadratic local risk minimization, piecewise linear risk minimization hedging strategies can be significantly different, resulting in larger probabilities of small costs but also larger extreme cost.

Using a sample of foreign acquisitions of US targets, this study examines the extent to which cross-listing in the US leads to legal and regulatory bonding, and/or whether reputational bonding proxied by financial intermediaries monitoring, an often ignored component of the bonding mechanism, is an important factor in US investors decision to hold shares in cross-listed firms. We find that compared to US firms, cross-listed firms are less likely to use equity in takeovers of US targets. Further, cross-listed firms from countries with poorer legal protections are less likely to finance with equity and pay higher premiums than cross-listed firms from countries with better legal protections. Using analysts’ coverage and institutional following as proxies for financial intermediary monitoring, we find some support for the importance of reputational bonding. The evidence suggests that while cross-listing reduces barriers to investment, there are limits to its ability to completely subsume both the legal environment and the importance of the monitoring of financial intermediaries. This further suggests that the extent of actual legal and regulatory bonding by cross-listed firms may be more limited than often assumed.

Lettau and Ludvigson [Lettau, M., Ludvigson, S, 2001. Consumption, aggregate wealth and expected stock returns. Journal of Finance 56, 815–849] argue that fluctuations from the equilibrium ratio of consumption to wealth (cây) reflect changing expectations of asset returns and document significant short-horizon predictability based on cây. This paper further explores the role of consumer expectations in modeling time variation of expected equity returns by considering two measures of consumer expectations: (i) consumer behavior as reflected in cây, and (ii) a more-direct measure of expectations captured by the Index of Consumer Sentiment (ICS). We report strong regression-based evidence of return predictability based on cây, which remains evident even after accounting for various sources of estimation risk. However, the regression-based evidence of predictability does not necessarily imply that shifts in aggregate consumption and the components of aggregate wealth give rise to economically significant investment signals. The survey-based measure of expectations (ICS) is shown to complement the behavioral measure (cây) but has no apparent stand-alone predictive value in forecasting equity returns.

Central securities depositories (CSDs) in Europe have opened mutual links, but most of them are seldom used. Why are idle links established? By allowing a foreign CSD to offer services through the link, the domestic CSD invites competition. By inviting competition the domestic CSD can commit itself not to charge monopoly fees for secondary market services. This enables it to charge higher fees for securities issuance in the primary market. It is shown that commitment via an idle link can be optimal for a profit maximising CSD.