Bootstrapping a distance test for stochastic dominance analysis

A major impediment to measuring portfolio performance under stochastic dominance has been the lack of test statistics for orders of stochastic dominance above first degree. In this article, the Bootstrap method, introduced by Efron (1979), is used to estimate critical values for distance statistics in order to test the null hypothesis of no dominance, under second- and third-degree stochastic dominance, for several samples of stock returns. These test statistics, suggested by Whitmore (1978), are analogous to the Kolmogorov-Smirnov distance statistics that can be used to test for first-degree stochastic dominance. Stochastic dominance is shown to accurately assess portfolio performance of sample distributions when the population distributions are controlled and Bootstrap statistics are employed in the analysis. In addition, second- and third-degree stochastic dominance analysis of the smallfirm January anomaly indicates that, over the 23-year time period 1964 to 1986, small firms statistically dominate a diversified market index in only one calendar year.     

Persistent performance in the mutual fund market: Tests with funds and investment advisers

Recent studies of mutual funds have concluded that there is some evidence of superior performance. We test for the existence of superior performance and its persistence with mutual funds and mutual fund investment advisers on a data set of monthly returns from 1979 to 1989 for 1,387 mutual funds grouped by 243 advisers. We find no evidence of superior performance or its persistence but we do find significant evidence of persistence of inferior performance. Consistent with previous studies our findings depend on the benchmark chosen, with multiple benchmarks producing a larger degree of inferior performance.     

Winners and losers: German equity mutual funds

We investigate the performance of winners and losers for German equity mutual funds (1990–2009), using empirical order statistics. When using gross returns and the Fama–French three-factor model, the number of statistically significant positive alpha funds is zero but increases markedly when market timing variables are added. However, when using a ‘total performance’ measure (which incorporates both alpha and the contribution of market timing), the number of statistically significant winner funds falls to zero. The latter is consistent with the bias in estimated alphas in the presence of market timing. We also find that many poorly performing funds are unskilled rather than unlucky.     

Conditional performance evaluation for German equity mutual funds

We investigate the conditional performance of a sample of German equity mutual funds over the period from 1994 to 2003 using both the beta-pricing approach and the stochastic discount factor (SDF) framework. On average, mutual funds cannot generate excess returns relative to their benchmark that are large enough to cover their total expenses. Compared to unconditional alphas, fund performance sharply deteriorates when we measure conditional alphas. Given that stock returns are to some extent predictable based on publicly available information, conditional performance evaluation raises the benchmark for active fund managers because it gives them no credit for exploiting readily available information. Underperformance is more pronounced in the SDF framework than in beta-pricing models. The fund performance measures derived from alternative model specifications differ depending on the number of primitive assets taken to calibrate the SDF as well as the number of instrument variables used to scale assets and/or factors.     

Time diversification and security preferences: A stochastic dominance analysis

We use stochastic dominance to test whether investor should prefer riskier securities as the investment horizon lengthens. Return distributions for stocks, bonds, and U.S. Treasury bills are generated for holding periods of one to 25 years by simulation. For each holding period, stochastic dominance tests are run to establish preferences between the alternative security classes. Contrary to previous mean-variance based studies, we find no evidence that high-risk securities (stocks) dominate low-risk securities (bonds, Treasury bills) as the investment horizon lengthens. However, we do find that corporate bonds systematically dominate government bonds.     

The performance of US equity mutual funds

The paper examines the performance of US no-load equity mutual funds. Fund performance is derived using stochastic frontier analysis for a flexible functional form. This analysis allows us to derive parametric estimates of efficiency scores for each fund in our sample for the first time in the literature. Our results indicate that US no-load equity funds display varying levels of efficiency over time but also depending on size and on investment style. Robustness analysis reaffirm the efficiency scores remain consistent across different selections of inputs and outputs as well as the underlying distribution of the return. Having estimated each fund’s efficiency in the sample we unveil their underlying dynamics, also with respect to risk and operational characteristics such as flows, assets, and Morningstar star ratings. Panel-VAR estimations reveal that the response of funds’ efficiency to a shock in risk is positive and substantial. Some evidence of reverse causality is also observed. Finally, we extend our analysis to investigate the relationship between funds performance and key covariates across subgroups defined by size.     

Almost marginal conditional stochastic dominance

Marginal Conditional Stochastic Dominance (MCSD) developed by Shalit and Yitzhaki (1994) gives the conditions under which all risk-averse individuals prefer to increase the share of one risky asset over another in a given portfolio. In this paper, we extend this concept to provide conditions under which most (and not all) risk-averse investors behave in this way. Instead of stochastic dominance rules, almost stochastic dominance is used to assess the superiority of one asset over another in a given portfolio. Switching from MCSD to Almost MCSD (AMCSD) helps to reconcile common practices in asset allocation and the decision rules supporting stochastic dominance relations. A financial application is further provided to demonstrate that using AMCSD can indeed improve investment efficiency.     

The effect of investor service costs on mutual fund performance

We examine the effect of investor service costs on mutual fund performance. Benchmarking passive funds against ETFs managed by the same fund company with the same investment objectives, we show that passive funds on average underperform ETFs by 42 bps in annualized net returns, of which about 90% can be attributed to investor service costs. Further benchmarking active funds against passive funds, we show that active funds on average outperform passive funds by 31 bps in annualized gross returns. However, the higher expense ratios charged by active funds lead to about 28 bps of underperformance in annualized net fund returns.     

A performance measure for mutual funds using the Connor-Korajczyk methodology: An empirical study

This article examines the performance of a sample of bond, stock, and balanced funds. Close attention is paid to the bond versus equity composition of the mutual funds and how this asset composition affects the performance measure. This research includes the period from January 1977 through March 1984. The results of the analysis show that none of these mutual funds categories has outperformed the market. Fund managers in this sample are unable to predict security prices consistently to warrant the associated costs. In addition, the “goodness of fit” varied significantly between the types of funds examined.     

A sovereign risk index for the Eurozone based on stochastic dominance

We propose a new method to assess sovereign risk in Eurozone countries using an approach that relies on consistent tests for stochastic dominance efficiency. The test statistics and the estimators are computed using mixed integer programming methods. Our analysis is based on macroeconomic fundamentals and their importance in accounting for sovereign risk. The results suggest that net international investment position/GDP and public debt/GDP are the main contributors to country risk in the Eurozone. We also conduct ranking analysis of countries for fiscal and external trade risk. We find a positive correlation between our rankings of the most vulnerable countries and the S&P’s ratings, whereas the correlation for other countries is weaker.     

The information content of portfolio performance history and persistence in fund performance: An examination of rollover funds

This paper examines the relation between past and future performance and explores the optimal past performance information set for a subset of Australian investment funds, namely, rollover funds. Four categories of funds are examined: fixed interest; multi-sector yield; multi-sector balanced; and multi-sector growth. This study extends the performance persistence literature through the use of three methodologies (1) regression analysis;(2) non-parametric contingency tables; and (3) top (and bottom) quartile rankings to explore the information content of fund performance history for groups of funds differentiated by investment objective. The results of the regression analysis suggest that there is evidence in support of persistence in performance for the fixed interest funds (particularly when performance is measured in terms of Jensen Alpha) but much more ambiguous evidence in relation to the multi-sector funds. Contingency table analysis of fund performance histories of varying lengths reveals quite different results depending upon whether raw or risk-adjusted returns are used. Use of raw returns creates an overall impression of performance reversals, whereas use of risk-adjusted returns suggests the existence of performance persistence. Finally, the use of prior period top-quartile and bottom-quartile ranking are found to show strong evidence of persistence in respect to the risk-adjusted performance of fixed-interest funds.     

Refining the bootstrap method of stochastic dominance analysis: The case of the January effect

This study investigates the effect of sample size and population distribution on the bootstrap estimated sampling distributions for stochastic dominance (SD) test statistics. Bootstrap critical values for Whitmore's (1978) second- and third-degree stochastic dominance test statistics are found to vary with both data sample size and variance of the population distribution. The results indicate the parametric nature of the statistics and suggest that the bootstrap method should be used to estimate a sampling distribution each time a new data sample is drawn. As an application of the bootstrap method, the January small firm effect is examined. The results conflict with the SD results of others, and indicate that not all investors would prefer to hold just a portfolio of small capitalization firms in January.     

Country and industry concentration and the performance of international mutual funds

We examine the relation between country and industry portfolio concentration and performance using a data set of international equity mutual funds. When sorted by concentration measures, funds in the most concentrated quintile outperform those in the most diversified quintile by 0.16% and 0.30% monthly in country and industry dimensions, respectively. Further analysis shows that the superior performance of concentrated funds is largely driven by industry rather than country concentration, suggesting the existence of global industry private information. Finally, we show that industry-concentrated funds rotate top-holding industries less frequently than their diversified counterparts, and that the industries these funds purchase subsequently outperform the industries they sell.     

Active management, fund size, and bond mutual fund returns

Conventional wisdom holds that bonds are relatively homogenous investments compared to equities. Consequently, factors that explain variation in returns among bond mutual funds may differ in magnitude from those for equity mutual funds. In this study, a time-series cross-sectional analysis is employed to investigate the relationship between a bond fund's risk-adjusted return and specific fund attributes. Results indicate that a bond fund's past performance does not predict future performance and that bond fund managers are generally ineffective at increasing risk-adjusted returns. However, unlike equity mutual funds, bond mutual funds do appear to enjoy economies of scale.     

A return-based approach to identify home bias of European equity funds

This paper introduces a return-based approach to studying a possible home bias of European equity funds by estimating their exposures to their domestic markets. We first confirm the robustness of our approach using simulated portfolios with different proportions of domestic and foreign stocks. The empirical analysis examines equity funds domiciled in 15 European countries that invest in European stocks. We examine individual funds as well as portfolios comprising funds that are all domiciled in a particular country. Our findings reveal that the portfolios of four domiciles show a significant home bias. Moreover, we observe that in seven domiciles more than a quarter of the individual funds are home-biased. These results are robust when controlling for fund-specific benchmarks or for the average country exposures of all funds in our final sample. Finally, a home bias of individual funds is not related to superior performance, but actually results in higher investment risk consistent with underdiversification.     

证券投资基金的投资风格分析与比较

本文采用基于组合的风格分析方法,对6家中国基金管理公司所管理的30只股票型基金的投资风格进行了实证检验,发现这些股票型证券投资基金的投资风格特征都集中于大盘规模型和风格不一的价值、成长及平衡型,且同一基金管理公司所管理的基金在同一时点的投资风格有趋同现象;此外,还发现有些基金在契约合同中所公布的投资风格与实际检验出的投资风格不尽一致.     

Legal constraints,transaction costs and the evaluation of mutual funds

The paper considers the legal restrictions on investment and the transaction costs related to optimal turnover that affect mutual funds. A method is developed for mutual fund performance evaluation when both these factors are included in the reference portfolios, and it is applied to a sample of available Spanish mutual funds. The poor performance results reflected in previous studies are not significantly modified. However, when net returns on the reference portfolios are used in the evaluation the performance is clearly improved.     

Rating mutual funds: Construction and information content of an investor-cost based rating of Danish mutual funds

We develop a new rating of mutual funds: the atpRating. The atpRating assigns crowns to each individual mutual fund based upon the costs an investor pays when investing in the fund in relation to what it would cost to invest in the fund's peers. Within each investment category, the rating assigns five crowns to funds with the lowest costs and one crown to funds with the highest costs.We investigate the ability of the atpRating to predict the future performance of a fund. We find that an investor who has invested in the funds with the lowest costs within an investment category would have obtained a risk-adjusted excess return that is approximately 3–4 percentage points higher per annum than if the funds with the highest costs had been invested in.We compare the atpRating with the Morningstar Rating. We show that one reason why the atpRating and the Morningstar Rating contain different information is that the returns Morningstar uses as inputs when rating funds are highly volatile whereas the costs the atpRating uses as inputs when rating funds are highly persistent. In other words, a fund that has low costs one year will most likely also have low costs the following year, whereas the return of a fund in a certain year generally contains only little information about the future return that the fund will generate.Finally, we have information on the investments in different mutual funds made by a small subgroup of investors known to have been exposed to both the atpRating and the Morningstar Rating. We find that investors have clear preferences for funds rated high by both the atpRating and the Morningstar Rating.     

Further evidence on performance evaluation: Portfolio holdings,recommendations, and turnover costs

This paper analyzes the performance of mutual funds in Spain between January 1980 and June 1990. The robustness of results to alternative measurements and benchmarks are analyzed. The results indicate that, with monthly returns alone, it is not possible to distinguish between selectivity and timing. We are only able to measure the magnitude of total performance. To be more precise about the reasons behind performance, portfolio holdings are necessary. This work employs a new data set based on monthly portfolio holdings of a representative sample of funds. A comparison of results using monthly returns and monthly portfolio holdings is made. In particular, thanks to the availability of portfolio holdings, we are able to separate selectivity and timing. Finally, the impact of turnover costs is considered.