A Performance Comparison Between Cross-Sectional Stochastic Dominance and Traditional Event Study Methodologies

In this study, the performance of cross-sectional stochastic dominance (SD), first proposed by Falk and Levy (FL) (1989), is compared with three traditional event study methodologies: the Mean Adjusted model, the Market Adjusted model, and the Market and Risk Adjusted Returns model. The comparison technique we use is a simulations approach similar to that of Brown and Warner (BW) (1980). BW show that the Mean Adjusted and Market Adjusted Returns models perform as well as the more sophisticated Market and Risk Adjusted Returns model. FL, however, provide a very compelling argument against the three traditional event study methodologies. The problem, they note, is not the theoretical need for risk adjustment; it is the definition and measurement of risk. FL assert that the observed abnormal returns (or lack thereof) may be due to omitted variables, a market proxy effect, or other specification errors in implementing the traditional event study methodologies.The present research finds that SD analysis without the bootstrap method for statistical testing is not very useful at any level of abnormal return. However, when the bootstrap method of statistical testing is employed, SD is found to perform as well as, and sometimes better than, the three traditional models in detecting simulated abnormal performance at all test levels. The results are consistent with FL's assertion that the improved performance may result from the SD methodology being free from the specification errors inherent in the three traditional event study models.     

Does Post-Earnings-Announcement Drift in Stock Prices Reflect A Market Inefficiency? A Stochastic Dominance Approach

This paper uses a stochastic dominance approach to test for market efficiency following earnings announcements. We find that the stocks that recently announced good earnings news stochastically dominate those that recently announced bad news. The results cast serious doubt on any belief that asset pricing model misspecifications might explain post-earnings-announcement drift.     

Should hedge funds be cautious reporting high returns?

In a recent article, Schuster and Auer (2012) show that fund managers with a certain positive performance need to be aware of the fact that too high prospective excess returns can lower the empirical Sharpe ratio of their funds. In this note, we investigate the empirical relevance of this effect. We analyse whether hedge funds being evaluated on the basis of the Sharpe ratio negatively influence their performance by reporting too high returns. Our results show that a economically significant number of hedge funds listed in the CISDM hedge fund database has at least once reported a high return causing this effect.     

Performance hypothesis testing with the Sharpe ratio: The case of hedge funds

As recent research highlights that the Sharpe ratio has a decision theoretic foundation even in the case of asymmetric or fat-tailed excess returns and thus is adequate even for the evaluation of hedge funds, this note provides the first Sharpe ratio based performance analysis of the hedge fund market. Furthermore, it addresses the important practical question whether the choice of hypothesis test used to statistically compare Sharpe ratios can influence an investor’s hedge fund selection process. Our key findings are as follows: (i) Only a small fraction of hedge funds in our large dataset can significantly outperform passive investments in corresponding hedge fund indices. (ii) Especially in the presence of autocorrelated or skewed excess returns, the traditional test of Jobson and Korkie, 1981, Memmel, 2003 tends to overstate the number of significant outperformers and thus provides potentially misleading information for investors. Decision makers are advised to use the bootstrap test of Ledoit and Wolf (2008) allowing robust and more reliable inference.     

Stochastic Dominance and Conditional Expectation—An Insurance Theoretical Approach

We show that the relation of second order stochastic dominance, which has found widespread use in models of economic behavior under uncertainty, may be described in terms of conditional expectation. If a distribution G second order stochastically dominates another distribution F, then there are random variables g and f with distributions G and F, respectively, such that g can be obtained from f by iterated conditional expectation. In terms of insurance, this shows that the less risky distribution can be obtained by a sequence of insurance contracts each one insuring against the residual risk left over from the previous contracts.     

Analysing the performance of managed funds using the wavelet multiscaling method

We propose a new approach for investigating the performance of managed funds using wavelet analysis and apply it to an Australian dataset. This method, applied to a multihorizon Sharpe ratio, shows that the wavelet variance at the short scale is higher than that of the longer scale, implying that an investor with a short investment horizon has to respond to every fluctuation in the realized returns, while for an investor with a much longer horizon, the long-run risk associated with unknown expected returns is not as important as the short-run risk. Using multihorizon Sharpe ratios of six groups of managed funds, we find that none of the fund groups are dominant over all time scales.

Pricing of national index funds

This article investigates the pricing behavior of national index funds (NIFs). Under barriers to capital flows in an otherwise perfect capital market, the familiar result of zero premium/discount obtains. The more realistic assumption of imperfect cross-border arbitrage suggests that in a two country setting the NIFs will sell at a premium. In a multicountry framework, the investment barriers will result in NIFs generally trading at a premium, although theoretically one cannot rule out a discount from net asset value (NAV). A simple test supports the proposition that under investment barriers, NIFs should trade at a premium to NAV after controlling for the average domestic closed-end fund discount.     

The implied Sharpe ratio

In an incomplete market, including liquidly traded European options in an investment portfolio could potentially improve the expected terminal utility for a risk-averse investor. However, unlike the Sharpe ratio, which provides a concise measure of the relative investment attractiveness of different underlying risky assets, there is no such measure available to help investors choose among the different European options. We introduce a new concept—the implied Sharpe ratio—which allows investors to make such a comparison in an incomplete financial market. Specifically, when comparing various European options, it is the option with the highest implied Sharpe ratio that, if included in an investor's portfolio, will improve his expected utility the most. Through the method of Taylor series expansion of the state-dependent coefficients in a nonlinear partial differential equation, we also establish the behaviour of the implied Sharpe ratio with respect to an investor's risk-aversion parameter. In a series of numerical studies, we compare the investment attractiveness of different European options by studying their implied Sharpe ratio.     

Temporal aggregation of the Aumann–Serrano and Foster–Hart performance indexes

We investigate the temporal aggregation of the Aumann–Serrano (AS) and Foster–Hart (FH) performance indexes considered by Kadan and Liu (2014). We provide sufficient conditions for the two indexes to be closed under temporal aggregation, that is, for the two indexes to have the same values when the observations are aggregated. Here, we present empirical examples using U.S. stock data and the four anomalies studied by Fama and French (1993) and Carhart (1997), where the two indexes have nearly identical values in some stocks and one anomaly when the observations are aggregated. Unlike the Sharpe ratio, the AS and FH performance indexes have more stable properties with respect to temporal aggregation.     

On Determination of Stochastic Dominance Optimal Sets

Applying Fishburn's [4] conditions for convex stochastic dominance, exact linear programming algorithms are proposed and implemented for assigning discrete return distributions into the first- and second-order stochastic dominance optimal sets. For third-order stochastic dominance, a superconvex stochastic dominance approach is defined which allows classification of choice elements into superdominated, mixed, and superoptimal sets. For a choice set of 896 security returns treated previously in the literature, 454, 25, and 13 distributions are in the first-, second-, and third-order convex stochastic dominance optimal sets, respectively. These optimal sets compare with admissible first-, second-, and third-order stochastic dominance sets of 682, 35, and 19 distributions, respectively. The applicability of superconvex stochastic dominance for continuous distributions defined over a bounded interval is then shown. The difficulties in identifying the elements of the superdominated set for distributions defined over the entire real line are demonstrated in the determination of the dominated choices for a set of normally distributed mutual fund returns previously examined by Meyer [9]. Specifically, we find that the dominated set determined by Meyer is too large.     

Bubble detection and sector trading in real time

We conduct a pseudo real-time analysis of the existence and extent of speculative bubbles in 11+ US sectors over the period January 1973–May 2015. Based on computed bubble signals, a trading strategy is constructed which switches funds between the market index and those industry sectors that exhibit bubble dynamics. Our strategy generates the highest after-transaction-cost return and Sharpe ratio, and first-order stochastically dominates a range of alternative strategies we consider, including the buy-and-hold investment in the market index. Subsample analysis and specification checks confirm the robustness of our findings.     

Performance maximization of actively managed funds

A growing literature suggests that, even in the absence of any ability to predict returns, holding options on the benchmarks or trading frequently can generate positive alpha. The ratio of alpha to its tracking error appraises a fund's performance. This paper derives the performance-maximizing strategy, which turns out to be a variant of a buy-write strategy, and the least upper bound on such performance enhancement. If common equity indices are used as benchmarks, the potential alpha generated from trading frequently can be substantial in magnitude, but it carries considerable risk. The statistical significance in estimated alpha is low, and the probability of a negative alpha is high. The performance enhancement from holding options can be significant - both economically and statistically - if the options' implied volatilities are higher than the volatilities of the benchmark returns. The performance-maximizing strategy derived in this paper is different from the strategies that switch portfolio exposure to the benchmarks. The exposure-switching strategies are not promising unless the switching is based on superior information.     

The Performance of Hedge Fund Strategies and the Asymmetry of Return Distributions

We present hedge fund performance estimates that adjust for stale prices, Fama‐French risk factors and skewness. We contrast these new performance estimates with traditional performance measures. Using three‐factor models to adjust for staleness in prices and to incorporate Fama‐French factors along with the Harvey‐Siddique (2000) two‐factor model that incorporates skewness, we find that for the period 1990–2003, all hedge fund categories achieve above average performance when measured against an aggregate market index. More significantly, however, when we estimate performance at the individual hedge fund level, we discover that only 40 to 47% of the funds are shown to achieve an above average performance over that time period depending on the model used. These results have important implications for investors, endowments and pensions when they choose hedge fund managers.     

Comment on “Optimal portfolio selection in a value-at-risk framework”

This comment discusses some errors in [Journal of Banking and Finance 25 (2001) 1789]. Given the portfolio rate of return is normally distributed, the following can be inferred. First, taking expected portfolio return rate as the benchmark of value-at-risk (VaR), the risk–return ratio collapses to a multiple of the Sharpe index. However, using risk-free rate as the benchmark, then above inference does not hold. Second, whether the benchmark of VaR is expected portfolio return rate or the risk-free rate, the optimal asset allocations for maximizing the risk–return ratio and Sharpe index are identical.     

Fiscal Dominance and Inflation Targeting: Lessons from Turkey

In the aftermath of the 2000-2001 crisis in Turkey, the banking sector was in turbulence, requiring immediate action. The rescue operation significantly increased the public debt ratio with respect to gross domestic product. At the beginning of 2002, the central bank of Turkey announced that it was going to implement an implicit inflation-targeting regime. The fiscal dominance caused by the high debt ratio severely constrained the conduct of monetary policy. Other obstacles to the conduct of monetary policy included a high level of exchange rate pass-through, inflation inertia, and a weak banking sector. This paper offers an account of the monetary policy experience of Turkey in the postcrisis period and provides lessons for policymakers in other emerging markets.     

Pricing options in incomplete equity markets via the instantaneous Sharpe ratio

We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative security requires compensation for this risk in the form of a pre-specified instantaneous Sharpe ratio. First, we apply our method to price options on non-traded assets for which there is a traded asset that is correlated to the non-traded asset. Our main contribution to this particular problem is to show that our seller/buyer prices are the upper/lower good deal bounds of Cochrane and Saá-Requejo (J Polit Econ 108:79–119, 2000) and of Björk and Slinko (Rev Finance 10:221–260, 2006) and to determine the analytical properties of these prices. Second, we apply our method to price options in the presence of stochastic volatility. Our main contribution to this problem is to show that the instantaneous Sharpe ratio, an integral ingredient in our methodology, is the negative of the market price of volatility risk, as defined in Fouque et al. (Derivatives in financial markets with stochastic volatility. Cambridge University Press, 2000).     

基于SFA的我国航空航天制造业技术效率分析

航空航天制造业是国家的战略性产业,在国防现代化和国民经济建设中发挥着重要的作用。技术效率作为体现科技含量带来的成效以及投入-产出之间关系的参量,能够较好地衡量和反映企业的生产效率和发展内涵。本文运用SFA方法,以近9年间的面板数据为依据,对我国航空航天制造业技术效率问题进行了探讨,分析了影响技术效率的相关因素,提出了改善和提高技术效率的建议。     

Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs

We use various stochastic dominance criteria that account for(local) risk seeking to analyze market portfolio efficiencyrelative to benchmark portfolios formed on market capitalization,book-to-market equity ratio and price momentum. Our resultssuggest that reverse S-shaped utility functions with risk aversionfor losses and risk seeking for gains can explain stock returns.The results are also consistent with a reverse S-shaped patternof subjective probability transformation. The low average yieldon big caps, growth stocks, and past losers may reflect investors’twin desire for downside protection in bear markets and upsidepotential in bull markets.     

The premium of dynamic trading

It is well established that, in a market with inclusion of a risk-free asset, the single-period mean–variance efficient frontier is a straight line tangent to the risky region, a fact that is the very foundation of the classical CAPM. In this paper, it is shown that, in a continuous-time market where the risky prices are described by Itô processes and the investment opportunity set is deterministic (albeit time-varying), any efficient portfolio must involve allocation to the risk-free asset at any time. As a result, the dynamic mean–variance efficient frontier, although still a straight line, is strictly above the entire risky region. This in turn suggests a positive premium, in terms of the Sharpe ratio of the efficient frontier, arising from dynamic trading. Another implication is that the inclusion of a risk-free asset boosts the Sharpe ratio of the efficient frontier, which again contrasts sharply with the single-period case.