A Note on the Three–Portfolios Matching Problem

A typical problem arising in financial planning for private investors consists in the fact that the initial investor's portfolio, the one determined by the consulting process of the financial institution and the universe of instruments made available to the investor have to be matched/optimised when determining the relevant portfolio choice. We call this problem the three–portfolios matching problem. Clearly, the resulting portfolio selection should be as close as possible to the optimal asset allocation determined by the consulting process of the financial institution. However, the transition from the investor's initial portfolio to the final one is complicated by the presence of transaction costs and some further more specific constraints. Indeed, usually the portfolios under consideration are structured at different aggregation levels, making portfolios comparison and matching more difficult. Further, several investment restrictions have to be satisfied by the final portfolio choice. Finally, the arising portfolio selection process should be sufficiently transparent in order to incorporate the subjective investor's trade–off between the objectives 'optimal portfolio matching' and 'minimal portfolio transition costs'. In this paper, we solve the three–portfolios matching problem analytically for a simplified setting that illustrates the main features of the arising solutions and numerically for the more general situation.     

Multi-asset portfolio optimization and out-of-sample performance: an evaluation of Black–Litterman,mean-variance,and naïve diversification approaches

The Black–Litterman model aims to enhance asset allocation decisions by overcoming the problems of mean-variance portfolio optimization. We propose a sample-based version of the Black–Litterman model and implement it on a multi-asset portfolio consisting of global stocks, bonds, and commodity indices, covering the period from January 1993 to December 2011. We test its out-of-sample performance relative to other asset allocation models and find that Black–Litterman optimized portfolios significantly outperform naïve-diversified portfolios (1/N rule and strategic weights), and consistently perform better than mean-variance, Bayes–Stein, and minimum-variance strategies in terms of out-of-sample Sharpe ratios, even after controlling for different levels of risk aversion, investment constraints, and transaction costs. The BL model generates portfolios with lower risk, less extreme asset allocations, and higher diversification across asset classes. Sensitivity analyses indicate that these advantages are due to more stable mixed return estimates that incorporate the reliability of return predictions, smaller estimation errors, and lower turnover.     

Dynamic Investment Strategy with Factor Models Under Regime Switches

A model for dynamic investment strategy is developed where assets’ returns are represented by multiple factors. In a mean–variance framework with factor models under regime switches, we derive a semi-analytic solution for the optimal portfolio with transaction costs. Due to the existence of transaction costs, the optimal portfolio is characterized as a linear combination of current and target portfolios, the latter of which maximizes the value function in the current regime. For some special cases of interest, we also derive simplified analytical solutions. To see the effect of regime switches, the proposed model is applied to US equity market in which small minus big and high minus low are employed as factors. Investment strategy based on our model demonstrates empirically that the regime switching models exhibit superior performance over the single regime model for such performance measures as realized utility and Sharpe ratio which are of particular interest in practice. Taking a close look at the time series of portfolio returns, the result shows the usefulness of the regime switching model as investors flexibly optimize asset allocations depending on the state of the market.     

Optimal reserve composition in the presence of sudden stops

We analytically derive optimal central bank portfolios in a minimum variance framework with two assets and transaction demands caused by sudden stops in capital inflows. In this model, transaction demands become less important relative to traditional portfolio objectives as debt to reserve ratios decrease. We empirically estimate optimal dollar and euro shares for 23 emerging market countries and find that optimal reserve portfolios are dominated by anchor currencies and, at current debt-to-reserve ratios, introducing transaction demand has a relatively modest effect for most countries. We find that, in general, the dollar acts as a safe haven currency during sudden stops for country specific and global sudden stops, increasing the optimal share of dollar bonds in central bank portfolios. Correspondingly, our model predicts that dollar shares should decline as debt-to-reserve ratios fall, as observed in recent data. We also find that the denomination of foreign currency debt has little importance for optimal reserve portfolios.     

International Equity Asset Classes in the Turkish Fund Industry

We examine Turkish fund portfolios and identify the role of international investments in their formation. We find that (1) Turkish funds hold a very small fraction of international assets during 1987-2008, (2) the weight of international equity in the funds with an international mandate is smaller than the total weight of domestic asset classes as of 2009, and (3) international stock holdings of Turkish portfolio managers show significant similarity, which can be explained by the fact that the managers tend to hold stocks with which they are familiar. We compare the performance of funds that have the international investment objective with benchmark portfolios and provide suggestions for more diverse funds in the Turkish fund industry.     

TRADING OF NASDAQ STOCKS ON THE CHICAGO STOCK EXCHANGE

We use a linear programming model to form two portfolios with approximately equal levels of attributes such as financial leverage. One portfolio comprises stocks that trade exclusively on NASDAQ and the other, stocks that trade on both the Chicago Stock Exchange (CSE) and NASDAQ (CSE/NASDAQ). We find that spreads are lower for the CSE/NASDAQ portfolio, but so is the percentage of quotes at spreads of $0.125. In fact, the lower spreads observed for the CSE/NASDAQ portfolio arise from fewer quotes with spreads of more than $0.25.     

The introduction of the Euro and its effects on portfolio decisions

Examining investment behavior related to the Euro introduction, we address the relevance of different investment determinants. With the advent of the currency union two potential sources of portfolio reallocation can be distinguished: First, the diminishment of exchange rate risk and transaction costs within the EMU. Second, the increase of correlation of EMU returns so that diversification benefits decreased. We test for structural breaks in the holdings of German investors and estimate a market model to account for the two effects. A significant decrease in national and an increase in EMU and rest-of-the-world investments can be observed. Comparing the observed holdings with benchmark portfolios, we find that investment home bias has diminished since the Euro introduction.     

A model for tax advantages of portfolios with many assets

Taxable portfolios present challenges for optimization models with even a limited number of assets. Holding many assets, however, has a distinct tax advantage over holding few assets. In this paper, we develop a model that takes an extreme view of a portfolio as a continuum of assets to gain the broadest possible advantage from holding many assets. We find the optimal strategy for trading in this portfolio in the absence of transaction costs and develop bounding approximations on the optimal value. We compare the results in a simulation study to a portfolio consisting only of a market index and show that the multi-asset portfolio’s tax advantage can lead either to significant consumption or bequest increases.     

Genetic Variation in Financial Decision‐Making

Individuals differ in how they construct their investment portfolios, yet empirical models of portfolio risk typically account only for a small portion of the cross‐sectional variance. This paper asks whether genetic variation can explain some of these individual differences. Following a major pension reform Swedish adults had to form a portfolio from a large menu of funds. We match data on these investment decisions with the Swedish Twin Registry and find that approximately 25% of individual variation in portfolio risk is due to genetic variation. We also find that these results extend to several other aspects of financial decision‐making.     

Conditional performance, portfolio rebalancing, and momentum of small-cap mutual funds

To assess the performance of small-cap stocks net of transaction costs, we analyze 165 actively managed small-cap oriented portfolios. Our analysis addresses three areas of interest: (i) performance net of transaction costs, (ii) the magnitude of trading costs incurred when rebalancing an actively managed portfolio, and (iii) the potential for momentum strategy profits when investing in small-cap stocks.Using conditional estimation, we find that small-cap funds have earned a significantly positive abnormal return of about 2% per year in the period January 1986 to December 2000. We also estimate the cost of January rebalancing to be 0.4% of portfolio value, a value that is significant for over 20% of the portfolios under study.Finally, after trading frictions are taken into account, we find evidence that small-cap portfolios exhibit significant return patterns, similar in nature to momentum patterns initially documented in a frictionless setting by [J. Finance 48 (1993) 65; J. Finance 56 (2001) 699]. Our findings support recent behavioral models, which attempt to explain these patterns. Consistent with the findings of Jegadeesh and Titman, we find that past “winners” continue to outperform in the next 12 months, followed by a performance reversal.     

An empirical analysis of intertemporal asset pricing models with transaction costs and habit persistence

In intertemporal asset pricing models, transaction costs are usually neglected. In this paper we explicitly incorporate transaction costs in these models and analyze to what extent this extension is helpful in explaining the cross-section of expected returns. An empirical analysis using CRSP data on size-based portfolios examines the role of the transaction costs and shows that incorporating such costs in the consumption-based model with power utility does not yield very satisfactory results. However, the introduction of habit persistence substantially improves the model. We find rather strong evidence of habit persistence in monthly consumption data. The plots of the models' pricing errors indicate that an intertemporal asset pricing model with transaction costs and habit persistence explains the cross-sectional variation in the portfolio returns quite accurately.     

Liquidity risk,leverage and long-run IPO returns

We examine the risk-return characteristics of a rolling portfolio investment strategy where more than 6000 Nasdaq initial public offering (IPO) stocks are bought and held for up to 5 years. The average long-run portfolio return is low, but IPO stocks appear as “longshots”, as 5-year buy-and-hold returns of 1000% or more are somewhat more frequent than for non-issuing Nasdaq firms matched on size and book-to-market ratio. The typical IPO firm is of average Nasdaq market capitalization but has relatively low book-to-market ratio. We also show that IPO firms exhibit relatively high stock turnover and low leverage, which may lower systematic risk exposures. To examine this possibility, we launch an easily constructed “low-minus-high” (LMH) stock turnover portfolio as a liquidity risk factor. The LMH factor produces significant betas for broad-based stock portfolios, as well as for our IPO portfolio and a comparison portfolio of seasoned equity offerings. The factor-model estimation also includes standard characteristic-based risk factors, and we explore mimicking portfolios for leverage-related macroeconomic risks. Because they track macroeconomic aggregates, these mimicking portfolios are relatively immune to market sentiment effects. Overall, we cannot reject the hypothesis that the realized return on the IPO portfolio is commensurable with the portfolio's risk exposures, as defined here.     

Pension Fund Manager Tournaments and Attitudes Towards Corporate Characteristics

Abstract:  This paper explores the relationship between the tournament incentives of pension fund managers and the characteristics of equities they choose to hold. Using a comprehensive data set on pension fund portfolio holdings, we determine the intensity of fund manager tournaments by sorting pension funds into portfolios based on the number of concurrent managers each pension fund employs. We then investigate which corporate characteristics are preferred by each of these portfolios by estimating share selection models that include a range of corporate characteristics that are expected to shape the returns to investment in stocks over the short and long run. We find that the intensity of the tournament faced by fund managers plays a significant role in shaping preferences over corporate characteristics. Managers facing more intense tournaments exhibit significantly weaker preferences for attributes associated with long run payoffs, such as social performance and growth potential, and significantly stronger preferences for short term attributes, such as operational efficiency, when compared to managers that face weak or no tournament incentives.     

Individual home bias,portfolio churning and performance

This study investigates economic consequences of individual investors’ home bias and portfolio churning in their personal pension accounts. The empirical analysis is carried out within a Heckman style two-stage framework to account for selection bias with respect to individuals’ investment activity, and to allow for an endogenously determined home bias, portfolio churning and performance. Results indicate that home bias induces a worse risk-adjusted performance. Home-biased individuals’ relatively bad performance originates in insufficient risk-reduction, due to a lack of international diversification. A higher degree of portfolio churning also deteriorates performance, despite the fact that churning is not associated with any direct transaction costs. However, home-biased individuals do not churn portfolios as often as individuals with a larger share of international asset holdings, which diminishes the negative effects of home bias on performance. Overconfidence is driven by a return-chasing behavior, where overconfident individuals favor international assets with high historical returns. Individuals with actual skill are more often men than women, are not tempted by high historical returns, and use international assets for the right reason – diversification.     

Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 50

Our purpose in this paper is to depart from the intrinsic pathology of the typical mean–variance formalism, due to both the restriction of its assumptions and difficulty of implementation. We manage to co-assess a set of sophisticated real-world non-convex investment policy limitations, such as cardinality constraints, buy-in thresholds, transaction costs, particular normative rules, etc., within the frame of complex scenarios, which demand for simultaneous optimization of multiple investment objectives. In such a case, the portfolio selection process reflects a mixed-integer multiobjective portfolio optimization problem. On this basis, we meticulously develop all the corresponding modeling procedures and then solve the underlying problem by use of a new, fast and very effective algorithm. The value of the suggested framework is integrated with the introduction of two novel concepts in the field of multiobjective portfolio optimization, i.e. the security impact plane and the barycentric portfolio. The first represents a measure of each security's impact in the efficient surface of Pareto optimal portfolios. The second serves as the vehicle for implementing a balanced strategy of iterative portfolio tuning. Moreover, a couple of some very informative graphs provide thorough visualization of all empirical testing results. The validity of the attempt is verified through an illustrative application on the Eurostoxx 50. The results obtained are characterized as very encouraging, since a sufficient number of efficient or Pareto optimal portfolios produced by the model, appear to possess superior out-of-sample returns with respect to the underlying benchmark.     

Optimal hedge fund portfolios under liquidation risk

We use an expected utility framework to integrate the liquidation risk of hedge funds into portfolio allocation problems. The introduction of realistic investment constraints complicates the determination of the optimal solution, which is solved using a genetic algorithm that mimics the mechanism of natural evolution. We analyse the impact of the liquidation risk, of the investment constraints and of the agent's degree of risk aversion on the optimal allocation and on the optimal certainty equivalent of hedge fund portfolios. We observe, in particular, that the portfolio weights and their performance are significantly affected by liquidation risk. Finally, tight portfolio constraints can only provide limited protection against liquidation risk. This approach is of special interest to fund of hedge fund managers who wish to include the hedge fund liquidation risk in their portfolio optimization scheme.     

Do funds selected by managers’ skills perform better?

We construct a simple intuitive rating mechanism to evaluate stock picking and market timing skills of equity and hybrid equity fund managers in China. We find that both our skill-rated 5-star (SR-5S) fund and the Morningstar 5-star (MS-5S) fund portfolios outperform the market. The SR-5S fund portfolio outperforms its counterpart MS-5S portfolio in most situations, depending on whether portfolio performance is measured by the abnormal returns of the CAPM model, the Fama-French three-factor (FF3) model, the Carhart four-factor (CH4) model and the Fama-French five-factor (FF5) model. Both market timing skill and stock picking skill affect the performance difference between the SR-5S fund and MS-5S fund portfolios. Additionally, the departure of a SR-5S or MS-5S fund manager is associated with fund performance declines, and the declines in performance for SR-5S funds are generally larger than the declines for the MS-5S funds.     

Fundamental‐based Market Strategies

A significant body of literature has raised the possibility that portfolio outperformance based on a simple accounting‐based investment strategy can persist through time because markets may ignore and potentially misinterpret financial market signals. Employing a fundamental‐based strategy, we show that superior performance can be earned consistently through time by identifying and investing in firms with more favourable performance and credit signals. The strength of these portfolios are additionally characterised by the ability of the strategies to avoid firms with poor future prospects. These findings are robust across varying time periods after both transaction costs and related market constraints are considered.     

Should investors include Bitcoin in their portfolios? A portfolio theory approach

Many papers in recent years have examined the benefits of adding alternative assets to traditional portfolios containing stocks and bonds. Bitcoin has emerged as a new alternative investment for investors which has attracted much attention from the media and investors alike. However relatively little is known about the investment benefits of Bitcoin and therefore this paper examines the benefit of including Bitcoin in a traditional benchmark portfolio of stocks and bonds. Specially, we employ data up to June 2018 and analyse the potential out-of-sample portfolio benefits resulting from including Bitcoin in a stock-bond portfolio for a range of eight popular asset allocation strategies. The out-of-sample analysis shows that, across all different asset allocation strategies and risk aversions, the benefits of Bitcoin are quite considerable with substantially higher risk-adjusted returns. Our results are robust to rolling estimation windows, the incorporation of transaction costs, the inclusion of a commodity portfolio, alternative indices, short-selling as well as two additional optimization techniques including higher moments with (and without) variance-based constraints (VBCs). Therefore, our results suggest that investors should include Bitcoin in their portfolio as it generates substantial higher risk-adjusted returns.     

The value of asset allocation advice: Evidence from The Economist's quarterly portfolio poll

This study analyzes the economic importance of portfolio advice for an investor with an international and multiple-asset investment strategy. We construct portfolios based upon the asset allocation and security market advice of major international investment bankers and analyze the performance using weight-based techniques. Our results indicate that portfolio advisers are not able to outperform passive benchmarks. They do not realize superior performance either through appropriate timing or selection skills. Apparent market timing skills as measured by the Portfolio Change Measure are to a large extent an artifact caused by serial correlation in the return indices used. Likewise, the apparent short-run performance persistence is more due to the serial correlation in returns than to active portfolio selection strategies.