one sided performance measures under gram charlier distributions angel leon would like to acknowledge the financial support from the spanish ministry for science and innovation through the grant eco2014 58434 p and from the grant prometeoii 2013 015 manuel moreno gratefully acknowledges financial support by grants p12 sej 1733 and ppii 2014 030 p

dynamic animal economics market equilibrium dynamics of herd inventory management are derived for homogenous female populations short run supply is backward bending in response to permanent changes in demand and is rising in response to transitory changes in demand increasing inventories are associated with high and falling prices and decreasing inventories with low and rising prices but there is no market instability in this these unusual intertemporal substitution effects follow from both rational expectations and appropriately formulated cobweb models and go part of the way toward explaining hog and cattle inventory cycles

quote inefficiency in options markets in an arbitrage free economy with non zero bid ask spreads the existence of payoffs whose price is lower than the price of a dominated payoff cannot be discarded in general however when the former price corresponds to trivial portfolios which involve buying or selling one unit of the basis assets its presence although not an arbitrage is a severe market anomaly which we refer to as an inefficient quote in an empirical study we report evidence that indicates that in options markets both the frequency and the magnitude of these anomalies are substantial and we document puzzling patterns in their behavior

robust stochastic discount factors when the market is incomplete a new non redundant derivative security cannot be priced by no arbitrage arguments alone moreover there will be a multiplicity of stochastic discount factors and each of them may give a different price for the new derivative security this paper develops an approach to the selection of a stochastic discount factor for pricing a new derivative security the approach is based on the idea that the price of a derivative security should not vary too much when the payoff of the primitive security is slightly perturbed i e the price of the derivative should be robust to model misspecification the paper develops two metrics of robustness the first is based on robustness in expectation the second is based on robustness in probability and draws on tools from the theory of large deviations we show that in a stochastic volatility model the two metrics yield analytically tractable bounds for the derivative price as the underlying stochastic volatility model is perturbed the bounds can be readily used for numerical examination of the sensitivity of the price of the derivative to model misspecification

factorization of european and american option prices under complete and incomplete markets abstract in a standard option pricing model with continuous trading and diffusion processes this paper shows that the price of one european style option can be factorized into two intuitive components one robust x 0 which is priced by arbitrage and a second 0 which depends on a risk orthogonal to the traded securities this result implies the following 1 in an incomplete market these parts represent the price of a hedging portfolio which is unique and a premium which depends only on the risk premiums associated with the residual risk respectively 2 in a complete market it allows factoring the contribution of the different sources of risk to the final option price for example in a stochastic volatility model we can quantify the impact on the option price of volatility risk relative to market risk 0 and x 0 respectively hence certain misspricings in option markets can be directly related to the premium 0 3 moreover these results extend to american securities which have a third component an additional early exercise premium

omega performance measure and portfolio insurance abstract we analyze the performance of the two main portfolio insurance methods the obpi and cppi strategies using downside risk measures for this purpose we introduce kappa performance measures and especially the omega measure these measures take account of the entire return distribution we show that the cppi method performs better than the obpi as a by product we determine the set of threshold values for these risk reward performance measures

benchmarking portfolio insurance and technical analysis a monte carlo comparison of dynamic strategies of asset allocation abstract this paper makes an extensive simulation comparison of popular dynamic strategies of asset allocation for each strategy alternative measures have been calculated for risk return and risk adjusted performance sharpe ratio sortino ratio return at risk moreover the strategies are compared in different market situations bull bear no trend markets and with different market volatility taking into account transaction costs and discrete rebalancing of portfolios the simulations show a dominant role of constant proportion strategies in bear and no trend markets and a preference for benchmarking strategies in bull markets these results are independent of the volatility level and the risk adjusted measure adopted

small transaction cost asymptotics and dynamic hedging abstract transaction costs are one of the major impediments to the implementation of dynamic hedging strategies we consider an alternative to utility maximization similar to the good deal pricing framework in incomplete markets we perform a dynamic risk reward analysis for a family of non self financing strategies of practical importance deterministic time hedging i e hedging at predetermined fixed times in the limit of small relative transaction costs we carry out the asymptotic analysis and find that transaction costs affect the hedge ratios and that the time between trades is related in a simple way to the local sensitivities of the replication target

naive versus optimal diversification tail risk and performance it is well documented in portfolio optimization that naive diversification outperforms optimal mean variance diversification because the latter is subject to severe estimation error our study provides an alternative explanation for the outperformance of naive diversification by examining the tail risk of naive diversification relative to optimal mean variance diversification we utilize a rolling sample approach and compare the out of sample performance and tail risk of various optimal strategies to that of the naive diversification strategy using portfolios consisting of individual stocks we show that for portfolios containing relatively small number of stocks naive diversification outperforms optimal mean variance diversification and is less exposed to tail risk however for relatively large number of stocks in the portfolio naive diversification maintains its superior performance but increases tail risk and results in more concave portfolio returns these results imply that the outperformance of naive diversification acts as compensation for the increase in tail risk and concavity

optimal asset allocation aid system from one size vs tailor made performance ratio abstract optimal asset allocation well fitting investors goals is a pressing challenge in risk management making a step forward to the sharpe ratio the parameter dependent sortino satchell generalized rachev and farinelli tibiletti performance ratios are suggested for personalizing asset allocation tailor made optimal asset paths for five different investor risk profiles are traced over a rolling 12 month investing horizon our simulations show a satisfactorily good match between asset allocation and correspondent risk profile specifically generalized rachev ratios outperform in personalized allocation for extreme risk profiles i e conservative and aggressive investors whereas sortino satchell and farinelli tibiletti ratios for those that are more moderate sharpe ratio confirms its ability in constructing steady diversified portfolios although underperformed

the recovery theorem we can only estimate the distribution of stock returns but from option prices we observe the distribution of state prices state prices are the product of risk aversion the pricing kernel and the natural probability distribution the recovery theorem enables us to separate these to determine the market s forecast of returns and risk aversion from state prices alone among other things this allows us to recover the pricing kernel market risk premium and probability of a catastrophe and to construct model free tests of the efficient market hypothesis

discrete time mean cvar portfolio selection and time consistency induced term structure of the cvar abstract we investigate a discrete time mean risk portfolio selection problem where risk is measured by the conditional value at risk cvar a substantial challenge is the combination of a time inconsistent objective with an incomplete and dynamic model for the financial market we are able to solve this problem analytically by embedding the original time inconsistent problem into a family of time consistent expected utility maximization problems with a piecewise linear utility function the optimal investment strategy is a fully adaptive feedback policy and the cumulated amount invested in the risky assets is of a characteristic v shaped pattern as a function of the current wealth for the incomplete discrete time market considered herein the mean cvar efficient frontier is a straight line in the mean cvar plane and thus economically meaningful this contrasts the complete continuous time setting where the mean cvar efficient frontier is degenerate or does not exist at all we further solve an inverse investment problem where we investigate how mean cvar preferences need to adapt in order for the pre committed optimal strategy to remain optimal at any point in time our result shows that a pre committed mean cvar investor behaves like a naive mean cvar investor with a time increasing confidence level for the cvar who revises the investment decision at every point in time finally an empirical application of our results suggests that risk measured by the cvar might help to understand the long standing equity premium puzzle

a general equilibrium model of portfolio insurance this article examines the effects of portfolio insurance on market and asset price dynamics in a general equilibrium continuous time model portfolio insurers are modeled as expected utility maximizing agents martingale methods are employed in solving the individual agents dynamic consumption portfolio problems comparisons are made between the optimal consumption processes optimally invested wealth and portfolio strategies of the portfolio insurers and normal agents at a general equilibrium level comparisons across economies reveal that the market volatility and risk premium are decreased and the asset and market price levels increased by the presence of portfolio insurance article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

transaction costs and efficiency of portfolio strategies abstract some recent results for frictionless economies show that popular dynamic portfolio strategies such as stop loss and lock in are inefficient i e for each of these strategies there exists an alternative portfolio strategy that gives the same final payoff distribution at lower initial costs however the alternative strategies require considerably more active trading than the simple strategies the results rely heavily on the assumption of no transaction costs under this assumption the initial investment required is a linear function of the prices of the contingent claims that build the final payoff distribution in this paper we demonstrate that even for modest levels of transaction costs the efficient strategies are more costly than the simple strategies i e a strategy that replicates the final payoff distribution of an efficient strategy is excessively costly due to the transaction costs and the heavy trading involved since the initial investment is no longer a linear function of the contingent claims the optimization problems to find the most efficient strategy are complicated combinatorial optimization problems which can only be solved for trees with a small number of steps in a world without transaction costs options are redundant instruments since all payoff distributions can be replicated by trading in stocks and bonds in the second half of this paper we show that the use of options in a world with transaction costs enables investors to realize final value distributions at lower initial costs than would be possible with trades in stocks an bonds only hence although in theory options do not give rise to other portfolio strategies they do in a more restrictive setting with transaction costs

equilibrium asset pricing with epstein zin and loss averse investors abstract we study multi period equilibrium asset pricing in an economy with epstein zin ez agents whose preferences for consumption are represented by recursive utility and with loss averse la agents who derive additional utility of gains and losses and are averse to losses we propose an equilibrium gain loss ratio for stocks and show that the la agents are more less risk averse than the ez agents if their degree of loss aversion is higher lower than this ratio when all the agents have unitary relative risk aversion degree and elasticity of intertemporal substitution we prove the existence and uniqueness of the equilibrium and the market dominance of the ez agents in the long run finally we extend our results to the case in which the la agents use probability weighting in their evaluation of gains and losses

optimal portfolio management with american capital guarantee abstract the aim of the paper is to investigate finite horizon portfolio strategies which maximize a utility criterion when a constraint is imposed on a terminal date european guarantee or on every intermediate date american guarantee we prove the optimality of the option based portfolio insurance method for both european and american cases when an expected crra utility function is maximized the american obpi is fully described in a black scholes environment as well as in the more general case of complete markets using the gittins index techniques developed by el karoui and karatzas 1995 optimality results are extended to general utility functions

statistical arbitrage and securities prices this article introduces the concept of a statistical arbitrage opportunity sao in a finite horizon economy a sao is a zero cost trading strategy for which i the expected payoff is positive and ii the conditional expected payoff in each final state of the economy is nonnegative unlike a pure arbitrage opportunity a sao can have negative payoffs provided that the average payoff in each final state is nonnegative if the pricing kernel in the economy is path independent then no saos can exist furthermore ruling out saos imposes a novel martingale type restriction on the dynamics of securities prices the important properties of the restriction are that it 1 is model free in the sense that it requires no parametric assumptions about the true equilibrium model 2 can be tested in samples affected by selection biases such as the peso problem and 3 continues to hold when investors beliefs are mistaken the article argues that one can use the new restriction to empirically resolve the joint hypothesis problem present in the traditional tests of the efficient market hypothesis in a fairly general environment this article proposes a novel martingaletype restriction on the dynamics of securities prices this restriction has a number of important properties most notably the restriction may be viewed as model free because it requires no parametric assumptions about the true equilibrium model to derive the restriction we rely on the concept of statistical arbitrage a generalization of pure arbitrage a pure arbitrage opportunity pao is a zero cost trading strategy that offers the possibility of a gain with no possibility of a loss as is well known the existence of paos is incompatible with a competitive equilibrium in asset markets the fundamental theorem of the financial theory establishes a link between the absence of paos and the existence of a positive pricing kernel which supports securities prices while the absence of paos is a necessary condition for any equilibrium model this condition alone often yields pricing implications that are too weak to be practically useful for example when valuing options in incomplete markets the no arbitrage bounds on option prices are typically very wide to strengthen pricing implications several recent articles

mean variance theory in complete markets two paradigms in the pricing of risky assets are the complete markets model of arrow and debreu and mean variance pricing as embodied in the capital asset pricing model capm the former is primarily of theoretical interest in fact prior to the recent work of banz and miller 1978 and breeden and litzenberger 1978 there was little thought or hope of practical applications on the other hand the hegemony of the capm is due mostly to its apparent ease of applicability and to a lesser extent its empirical justification in a competitive market with no taxes transactions costs or institutional constraints on portfolio holdings the allocation of the available assets will be pareto optimal the end of period distribution of wealth or the consumption goods however will typically be pareto optimal only when there is available an arrow debreu security for each contingency since by definition a pareto superior reallocation is weakly preferred by all investors a complete set of arrow debreu markets should naturally arise provided they are not too costly to establish the complete markets model of arrow and debreu and the meanvariance capital asset pricing model capm are two paradigms of risky asset markets this paper provides an integration of these two theories we prove that the standard meanvariance separation theorem obtains in a complete market only if all investors have quadratic utility in addition the familiar capm pricing relation can hold for all assets in a complete market only if arbitrage opportunities exist on the positive side we show that the validity of this relation for the primary assets in a complete market is unaffected by the distribution of returns on the created financial assets

optimizing bounds on security prices in incomplete markets does stochastic volatility specification matter we extend and generalize some results on bounding security prices under two stochastic volatility models that provide closed form expressions for option prices in detail we compute analytical expressions for benchmark and standard good deal bounds for both models our findings show that our benchmark results generate much tighter bounds a deep analysis of the properties of option prices and bounds involving a sensitivity analysis and analytical derivation of greeks for both option prices and bounds is also presented these results provide strong practical applications taking into account the relevance of pricing and hedging strategies for traders financial institutions and risk managers

two sided coherent risk measures and their application in realistic portfolio optimization by using a different derivation scheme a new class of two sided coherent risk measures is constructed in this paper different from existing coherent risk measures both positive and negative deviations from the expected return are considered in the new measure simultaneously but differently this innovation makes it easy to reasonably describe and control the asymmetry and fat tail characteristics of the loss distribution and to properly reflect the investor s risk attitude with its easy computation of the new risk measure a realistic portfolio selection model is established by taking into account typical market frictions such as taxes transaction costs and value constraints empirical results demonstrate that our new portfolio selection model can not only suitably reflect the impact of different trading constraints but find more robust optimal portfolios which are better than the optimal portfolio obtained under the conditional value at risk measure in terms of diversification and typical performance ratios

a theoretical and empirical approach to the value of information in risky markets a reply the theory of the competitive firm under price uncertainty is used to develop a money metric of a producer s willingness to pay for additional information this concept is extended to the market by formulating ex ante and ex post measures of the value of a rational expectations forecast the empirical feasibility of these measures are demonstrated by application to a simple two equation model of an agricultural market this abstract was borrowed from another version of this item

public provision of sales contingent claims backed finance to smes a policy alternative abstract in europe and elsewhere governments intervene to stimulate innovation in the sme sector and because smes face financial constraints in particular governments encourage the provision of debt and equity venture capital finance to such firms this paper discusses sales contingent claim scc backed finance funding secured only on a claim written on sales that offers a different repayment profile to debt and equity the attractiveness of such finance to firms as well as the behaviour of firms financed in this way are analysed for various reasons scc backed financial instruments are generally not available to smes on the market but it is argued that wider availability could further stimulate the growth and innovative activity of smes the correction of this market incompleteness by the introduction of government schemes providing scc backed corporate finance for smes in higher risk higher tech sectors is recommended the workability of such a scheme is explored by looking at existing examples aimed largely at project finance for larger firms

pareto optima and equilibria when preferences are incompletely known an exchange economy in which agents have convex incomplete preferences defined by families of concave utility functions is considered sufficient conditions for the set of efficient allocations and equilibria to coincide with the set of efficient allocations and equilibria that result when each agent has a utility in her family are provided welfare theorems in an incomplete preferences framework therefore hold under these conditions and efficient allocations and equilibria are characterized by first order conditions

the carry trade and fundamentals nothing to fear but feer itself the carry trade is the investment strategy of going long in high yield target currencies and short in low yield funding currencies recently this nave trade has seen very high returns for long periods followed by large crash losses after large depreciations of the target currencies based on low sharpe ratios and negative skew these trades could appear unattractive even when diversied across many currencies but more sophisticated conditional trading strategies exhibit more favorable payos we apply novel within economics binary outcome classication tests to show that our directional trading forecasts are informa tive and out of sample loss function analysis to examine trading performance the critical conditioning variable we argue is the fundamental equilibrium exchange rate feer expected returns are lower all else equal when the target currency is overvalued like traders researchers should incorporate this information when evaluating trading strategies when we do so some questions are resolved negative skewness is purged and market volatility vix is uncorrelated with returns other puzzles remain the more sophisticated strategy has a very high sharpe ratio suggesting market ineciency

risk behavior and rational expectations in the u s broiler market this study examines the empirical implications of extending the rational expectations hypothesis reh to include price uncertainty a general estimation framework that incorporates both the restrictions on structural parameters and the variance covariance terms is developed garch time series processes are used to generate time varying expectations of both the means and the variances of exogenous variables the empirical application is with a quarterly model of the u s broiler industry the results indicate that the rational expectation of price variance is an important determinant of broiler supply a formal test indicates that the restrictions implied by the reh cannot be rejected

investment horizon and the attractiveness of investment strategies a behavioral approach we analyze the attractiveness of investment strategies over a variety of investment horizons from the viewpoint of an investor with preferences described by cumulative prospect theory cpt currently the most prominent descriptive theory for decision making under uncertainty a bootstrap technique is applied using historical return data of 1926 2008 to allow for variety in investors preferences we conduct several sensitivity analyses and further provide robustness checks for the results in addition we analyze the attractiveness of the investment strategies based on a set of experimentally elicited preference parameters our study reveals that strategy attractiveness substantially depends on the investment horizon while for almost every preference parameter combination a bond strategy is preferred for the short run stocks show an outperformance for longer horizons portfolio insurance turns out to be attractive for almost every investment horizon interestingly we find probability weighting to be a driving factor for insurance strategies attractiveness

the credibility revolution in empirical economics how better research design is taking the con out of econometrics since edward leamer s memorable 1983 paper let s take the con out of econometrics empirical microeconomics has experienced a credibility revolution while leamer s suggested remedy sensitivity analysis has played a role in this we argue that the primary engine driving improvement has been a focus on the quality of empirical research designs the advantages of a good research design are perhaps most easily apparent in research using random assignment we begin with an overview of leamer s 1983 critique and his proposed remedies we then turn to the key factors we see contributing to improved empirical work including the availability of more and better data along with advances in theoretical econometric understanding but especially the fact that research design has moved front and center in much of empirical micro we offer a brief digression into macroeconomics and industrial organization where progress by our lights is less dramatic although there is work in both fields that we find encouraging finally we discuss the view that the design pendulum has swung too far critics of design driven studies argue that in pursuit of clean and credible research designs researchers seek good answers instead of good questions we briefly respond to this concern which worries us little

inefficient dynamic portfolio strategies or how to throw away a million dollars in the stock market a number of portfolio strategies followed by practitioners are dominated because they are incompletely diversified over time the payoff distribution pricing model is used to compute the cost of following undiversified strategies simple numerical examples illustrate the technique and computer generated examples provide realistic estimates of the cost of some typical policies using reasonable parameter values the cost can be substantial and should not be ignored by practitioners a section on generalizations shows how to extend the analysis to term structure models and other general models of returns this abstract was borrowed from another version of this item

sharpe thinking in asset ranking with one sided measures abstract if we exclude the assumption of normality in return distributions the classical risk reward sharpe ratio becomes a questionable tool for ranking risky projects in line with sharpe thinking a general risk reward ratio suitable to compare skewed returns with respect to a benchmark is introduced the index includes asymmetrical information on 1 good volatility above the benchmark and bad volatility below the benchmark and 2 asymmetrical preference to bet on potential high stakes and the aversion against possible huge losses the former goal is achieved by using one sided volatility measures and the latter by choosing the appropriate order for the one sided moments involved the omega index see cascon a keating c shadwick w 2002 introduction to omega the finance development centre and the upside potential ratio see sortino f van der meer r plantinga a 1999 the dutch triangle journal of portfolio management 26 i fall 50 58 follow as special cases

momentum strategies based on reward risk stock selection criteria abstract in this paper we analyze momentum strategies that are based on reward risk stock selection criteria in contrast to ordinary momentum strategies based on a cumulative return criterion reward risk stock selection criteria include the standard sharpe ratio with variance as a risk measure and alternative reward risk ratios with the expected shortfall as a risk measure we investigate momentum strategies using 517 stocks in the s p 500 universe in the period 1996 2003 although the cumulative return criterion provides the highest average monthly momentum profits of 1 3 compared to the monthly profit of 0 86 for the best alternative criterion the alternative ratios provide better risk adjusted returns measured on an independent risk adjusted performance measure we also provide evidence on unique distributional properties of extreme momentum portfolios analyzed within the framework of general non normal stable paretian distributions specifically for every stock selection criterion loser portfolios have the lowest tail index and tail index of winner portfolios is lower than that of middle deciles the lower tail index is associated with a lower mean strategy the lowest tail index is obtained for the cumulative return strategy given our data set these findings indicate that the cumulative return strategy obtains higher profits with the acceptance of higher tail risk while strategies based on reward risk criteria obtain better risk adjusted performance with the acceptance of the lower tail risk

optimal strategies under omega ratio abstract we study portfolio selection under the objective of maximizing the omega ratio proposed by keating and shadwick 2002 as an alternative to the sharpe ratio for performance assessment of investment strategies we show that in a continuous time setting of the financial market the problem is ill posed i e maximizing the omega ratio leads to excessive risk taking by imposing additional restrictions we show that the omega ratio maximizing strategy is still very risky and may coincide with the choice made by risk neutral investors we conclude that caution is needed when using the omega ratio for making asset allocation decisions

pricing and hedging in incomplete markets abstract we present a new approach for positioning pricing and hedging in incomplete markets that bridges standard arbitrage pricing and expected utility maximization our approach for determining whether an investor should undertake a particular position involves specifying a set of probability measures and associated floors which expected payoffs must exceed in order for the investor to consider the hedged and financed investment to be acceptable by assuming that the liquid assets are priced so that each portfolio of assets has negative expected return under at least one measure we derive a counterpart to the first fundamental theorem of asset pricing we also derive a counterpart to the second fundamental theorem which leads to unique derivative security pricing and hedging even though markets are incomplete for products that are not spanned by the liquid assets of the economy we show how our methodology provides more realistic bid ask spreads

price volatility and rational expectations in a sectoral framework commodity model a multivariate garch approach this article explores supply response models in a rational expectations framework with endogenous risk by using a multivariate generalized autoregressive conditional heteroskedasticity model with cholesky decomposition this approach allows the incorporation of price volatility as a risk factor into the supply response of a primary commodity sector that is composed of several markets of homogenous products the model is applied to the greek meat sector which is composed of four major meat categories that is beef lamb pork and broiler and thus the model for the entire market includes supply and demand equations for all the four meat markets which are estimated simultaneously the empirical results confirm that price volatility is a significant risk factor in greek meat production and also provide useful implications about the cost factors of production furthermore the empirical findings show that the last reform of the common agricultural policy seems to have had a negative effect on beef and lamb production in greece

portfolio performance evaluation old issues and new insights this article presents a model that provides insights about various measures of portfolio performance the model explores several criticisms of these measures these include the problem of identifying an appropriate benchmark portfolio the possibility of overestimating risk because of market timing ability and the failure of informed investors to earn positive risk adjusted returns because of increasing risk aversion the article argues that these need not be serious impediments to performance evaluation

what s to know about the credibility of empirical economics the scientific credibility of economics is itself a scientific question that can be addressed with both theoretical speculations and empirical data in this review we examine the major parameters that are expected to affect the credibility of empirical economics sample size magnitude of pursued effects number and pre selection of tested relationships flexibility and lack of standardization in designs definitions outcomes and analyses financial and other interests and prejudices and the multiplicity and fragmentation of efforts we summarize and discuss the empirical evidence on the lack of a robust reproducibility culture in economics and business research the prevalence of potential publication and other selective reporting biases and other failures and biases in the market of scientific information overall the credibility of the economics literature is likely to be modest or even low

an empirical test of pricing kernel monotonicity summary a large class of asset pricing models predicts that securities which have high payoffs when market returns are low tend to be more valuable than those with high payoffs when market returns are high more generally we expect the projection of the stochastic discount factor on the market portfolio that is the discounted pricing kernel evaluated at the market portfolio to be a monotonically decreasing function of the market portfolio numerous recent empirical studies appear to contradict this prediction the non monotonicity of empirical pricing kernel estimates has become known as the pricing kernel puzzle in this paper we propose and apply a formal statistical test of pricing kernel monotonicity we apply the test using 17 years of data from the market for european put and call options written on the s p 500 index statistically significant violations of pricing kernel monotonicity occur in a substantial proportion of months suggesting that observed non monotonicities are unlikely to be the product of statistical noise copyright 2014 john wiley sons ltd

distributional analysis of portfolio choice trading in a market is compared with receiving some particular consu mption bundle given increasing state independent preferences and complete markets the analysis focuses on the distribution price of t he particular bundle the distributional price is the price of the ch eapest utility equivalent bundle sold in the market the distribution al price is determined by the distribution functions of the outside b undle and the state price density simple portfolio performance measu res illustrate the value of the approach unlike capm based measures these measures are valid even when superior information is the sourc e of superior performance copyright 1988 by the university of chicago

gain loss and asset pricing we develop an approach to asset pricing in incomplete markets that bridges the gap between the two fundamental approaches in finance model based pricing and pricing by no arbitrage we strengthen the absence of arbtrage assumption by precluding investment opportunities whose attractiveness to a benchmark investor exceeds a specified threshold in our framework the attractiveness of an investment opportunity is measured by the gain loss ratio we show that a restriction on the maximum gain loss ratio is equivalent to a restriction on the ratio of the maximum to minimum values of the pricing kernel by limiting the maximum gainloss ratio we can restrict the admissible set of pricing kernels which in turn allows us to restrict the set of prices that can be assigned to assets we illustrate our methodology by computing price bounds for call options in a black scholes economy without intermediate trading when we vary the maximum permitted gainloss ratio these bounds can range from the exact prices implie

a stochastic dominance analysis of yen carry trades abstract yen carry trades have made headline news for over a decade we examine the profitability of such trades for the period 2001 2009 yen carry trades generated high mean returns and sharpe ratios prior to the recent financial crisis they continued to outperform major stock markets for the full sample period given the non normality of carry trade returns we apply non parametric tests based on stochastic dominance sd to evaluate whether the high returns of yen carry trades are compatible with risk as reflected in returns on us and global stock market indices we apply a general test for sd developed recently by linton maasoumi and whang 2005 to six currencies as well as portfolios of these currencies for a large class of risk averse investors profits from yen carry trades cannot be attributed to risks

alternative estimates of fed beef supply response to risk supply response models for fed beef incorporating risk by including both the mean and variance of output price are developed estimated and compared six different estimates of the mean and variance are obtained from futures prices arima processes and naive adaptive and rational expectations models empirical estimates are compared using nonnested testing procedures and indicate that the choice of the expectations model significantly influences elasticity estimates and whether supply response is positive or negative empirical evidence does not support any one model in particular suggesting that expectations are heterogenous rather than homogenous most agricultural production is characterized by a lag between the time input decisions are made and the time output actually reaches the market as a result supply response functions are based on the hypothesis that quantity produced depends on known input prices and producers expectations of output price expectations frequently have been modeled based solely on past prices examples include naive expectations adaptive expectations extensively reviewed by askari and cummings and autoregressive integrated moving average arima schemes gardner as well as others have used futures prices to estimate producers expected prices although chavas pope and kao found that futures prices are not good proxies for producers expectations

portfolio selection in a data rich environment we model portfolio weights as a function of latent factors that summarize the information in a large number of economic variables this approach hereafter diffusion index approach offers the opportunity to exploit a much richer information base to improve portfolio selection we use factor analysis to estimate the space spanned by the factors this provides consistent estimates for the optimal weights as the number of economic variables and sample size go to infinity we consider an empirical application to illustrate the practical usefulness of our approach the results indicate that the diffusion index approach helps to improve the portfolio performance

downside loss aversion and portfolio management downside loss averse preferences have seen a resurgence in the portfolio management literature this is due to the increasing use of derivatives in managing equity portfolios and the increased use of quantitative techniques for bond portfolio management we employ the lower partial moment as a risk measure for downside loss aversion and compare mean variance m v and mean lower partial moment m lpm optimal portfolios under nonnormal asset return distributions when asset returns are nearly normally distributed there is little difference between the optimal m v and m lpm portfolios when asset returns are nonnormal with large left tails we document significant differences in m v and m lpm optimal portfolios this observation is consistent with industry usage of m v theory for equity portfolios but not for fixed income portfolios

time invariant portfolio insurance strategies this paper characterizes the complete class of time invariant portfolio insurance strategies and derives the corresponding value functions that relate the wealth accumulated under the strategy to the value of the underlying insured portfolio time invariant strategies are shown to correspond to the long run policies for a broad class of portfolio insurance payoff functions

price risk in supply equations an application of garch time series models to the u s broiler market that risk considerations figure prominently into agents decisions is now widely recognized by both theoretical and applied economists for example much research has focused on extending neoclassical production theory to include agents that maximize expected utility of returns under price and or output uncertainty 37 4 25 35 12 31 concurrent with this theoretical research on risk has been a growing literature on the empirical effects of risk on economic decisions examples include the studies on the role of risk in aggregate agricultural production and

stochastic dominance and expected utility survey and analysis while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics finance agriculture statistics marketing and operations research in this survey the first second and third order stochastic dominance rules are discussed with an emphasis on the development in the area since the 1980s

expected gain loss pricing and hedging of contingent claims in incomplete markets by linear programming abstract we analyze the problem of pricing and hedging contingent claims in the multi period discrete time discrete state case using the concept of a gain loss ratio opportunity pricing results somewhat different from but reminiscent of the arbitrage pricing theorems of mathematical finance are obtained our analysis provides tighter price bounds on the contingent claim in an incomplete market which may converge to a unique price for a specific value of a gain loss preference parameter imposed by the market while the hedging policies may be different for different sides of the same trade the results are obtained in the simpler framework of stochastic linear programming in a multi period setting and have the appealing feature of being very simple to derive and to articulate even for the non specialist they also extend to markets with transaction costs

how large are the benefits from using options the paper explores the economic value of being able to span market outcomes through the use of options we model an economy with a single risky asset consumption takes place at one date corresponding to the horizon of all investors options on the consumption good are not redundant securities in the economy because volatility is uncertain the model enables us to examine the benefits to investors of using options to optimize their investments within this model the gains from the use of options appear to be relatively minor

commodities price cycles and their interdependence with equity markets abstract this study examines the time scale connectedness between returns on nine african stock markets and commodities markets across energy agriculture metals and beverage first we examine multi scale short medium and long run wavelet structural relationships between african stocks and commodities using the bivariate wavelet coherence we establish that commodities and african stock returns co move across multiple scales and co integrate in the long run albeit sparse second we analyze the portfolio performance of the african stock markets with other commodities using wavelet based diversified and undiversified portfolios in a translation invariant manner to calculate the scale specific sharpe ratios over different sub periods rather than giving a one shot look for the entire sample this enables us to examine how risk adjusted returns vary across different periods the results confirm that having a combined portfolio of commodities and equities improves performance over different investment horizons specifically we observe that in non crisis periods particularly from 2001 2006 the equally weighted and optimally weighted portfolios show the greatest performances however as we enter into the crisis zones such as the asian crisis of 1997 2000 and the global financial and eurozone debt crisis the risk aversion of investors become prominent as the risk minimizing portfolios record the highest performances

implications of the sharpe ratio as a performance measure in multi period settings we study efiects of using sharpe ratio as a performance measure for compensating money managers in a dynamic and frictionless market setting first we demonstrate that with such a performance measure the manager s focus on the short horizon performance is detrimental to the investor s long horizon performance numerical experiments illustrate that when returns are iid the performance loss is signiflcant even when the investor s investment horizon is not much longer than the manager s when expected returns are mean reverting the performance loss is exacerbated second we show that sharpe ratio maximization strategies tend to increase decrease the risk in the later part of the optimization period after a bad good performance in the earlier part of the optimization period as illustrated by a simulation exercise this prediction is in agreement with empirical observations and it presents a rational expectations alternative to the prevalent tournament theory explanation

statistical arbitrage with default and collateral abstract this paper studies the implications of the absence of statistical arbitrage opportunities in a two period incomplete market economy where default is allowed but there are collateral requirements modified versions of the fundamental theorem of asset pricing are obtained

optimal option portfolio strategies deepening the puzzle of index option mispricing traditional methods of asset allocation such as mean variance optimization are not adequate for option portfolios because the distribution of returns is non normal and the short sample of option returns available makes it difficult to estimate their distribution we propose a method to optimize a portfolio of european options held to maturity with a myopic objective function that overcomes these limitations in an out of sample exercise incorporating realistic transaction costs the portfolio strategy delivers a sharpe ratio of 0 82 with positive skewness this performance is mostly obtained by exploiting mispricing between options and not by loading on jump or volatility risk premia

equilibrium analysis of portfolio insurance a martingale approach is used to characterize general equilibrium in the presence of portfolio insurance insurers sell to noninsurers in bad states and general equilibrium requires that the risk premium rises to induce noninsurers to increase their holdings we show that portfolio insurance increases price volatility causes mean reversion in asset returns raises the sharpe ratio and volatility in bad states and causes volatility to be correlated with volume we also explain why out of the money sp that is the demand for an absolute level of price protection is equivalent to a demand for put options 1 we show that a similar argument can be used in a

theory of constant proportion portfolio insurance abstract we study constant proportion portfolio insurance cppi a dynamic strategy that maintains the portfolio s risk exposure a constant multiple of the excess of wealth over a floor up to a borrowing limit we use this simple rule to investigate how transaction costs and borrowing constraints affect portfolio insurance type strategies absent transaction costs cppi is equivalent to investing in perpetual american call options and is optimal for a piecewise hara utility function with a minimum consumption constraint as the multiple increases the payoffs under cppi approach those of a stop loss strategy the expected holding period return is not monotonic in the multiple and a higher expected return can be obtained under cppi than with a stop loss strategy

equilibrium pricing in incomplete markets given the exogenous price process of some assets we constrain the price process of other assets that are characterized by their final payoffs we deal with an incomplete market framework in a discrete time model and assume the existence of the equilibrium in this setup we derive restrictions on the state price deflators these restrictions do not depend on a particular choice of utility function we investigate numerically a stochastic volatility model as an example our approach leads to an interval of admissible prices that is more robust than the arbitrage pricing interval

hedge fund performance 1990 2000 do the money machines really add value we investigate the claim that hedge funds offer investors a superior risk return tradeoff we do so using a continuous time version of dybvig s 1988a 1988b payoff distribution pricing model the evaluation model which does not require any assumptions with regard to the return distribution of the funds to be evaluated is applied to the monthly returns of 77 hedge funds and 13 hedge fund indices from may 1990 april 2000 the results show that as a stand alone investment hedge funds do not offer a superior risk return profile we find 12 indices and 72 individual funds to be inefficient with the average efficiency loss amounting to 2 76 per annum for indices and 6 42 for individual funds part of the inefficiency cost of individual funds can be diversified away funds of funds however are not the preferred vehicle for this as their performance appears to suffer badly from their double fee structure looking at hedge funds in a portfolio context results in a marked improvement in the evaluation outcomes seven of the 12 hedge fund indices and 58 of the 72 individual funds classified as inefficient on a stand alone basis are capable of producing an efficient payoff profile when mixed with the s p 500 the best results are obtained when 10 20 of the portfolio value is invested in hedge funds

a decision theoretic foundation for reward to risk performance measures abstract in this paper we prove that partial moments based performance measures e g omega kappa upside potential ratio sortino satchell ratio farinelli tibiletti ratio value at risk based performance measures e g var ratio cvar ratio rachev ratio generalized rachev ratio and other admissible performance measures are a strictly increasing function in the sharpe ratio the theoretical basis of this result is the location and scale property and two other plausible and mild conditions our result provides a decision theoretic foundation for all these frequently used performance measures moreover it might explain the empirical finding that all these measures typically lead to very similar rankings

quasi rational and ex ante price expectations in commodity supply models an empirical analysis of the us broiler market a statistically optimal inference about agents ex ante price expectations within the us broiler market is derived using futures prices of related commodities along with a quasi rational forecasting regression equation the modelling approach which builds on a hamilton type framework includes endogenous production and allows expected cash price to be decomposed into anticipated and unanticipated components we therefore infer the relative importance of various informational sources in expectation formation results show that in addition to the quasi rational forecast the true supply shock future prices and ex post commodity price forecast errors have at times been influential in broiler producers price expectations copyright 2003 john wiley sons ltd

on the optimality of path dependent structured funds the cost of standardization abstract this paper examines the suitability of an important class of standard financial structured products namely those whose performances are based on smoothing the return of a given risky underlying asset while providing a guarantee at maturity using various assumptions about the customers attitudes towards risk we show that such standardized products are not optimal even if the financial market volatility is constant as a by product we provide in particular the optimal portfolio value in the regret rejoice framework to go further with the notion of aversion of getting a return smaller than the risk free one using the notion of compensating variation we determine for the first time the monetary losses of providing these standardized products instead of the optimal ones to the customers we show that these monetary losses can be very significant when the volatility of the risky asset is stochastic from the operational point of view such results highly suggest to trade on the volatility index vix and or to introduce derivatives written on it when selling standardized funds in order to better meet investors needs and preferences

robust option pricing hannan and blackwell meet black and scholes we apply methods developed in the literature initiated by hannan and blackwell on robust optimization approachability and calibration to price financial securities rather than focus on asymptotic performance we show how gradient strategies developed to minimize asymptotic regret imply financial trading strategies that yield arbitrage based bounds for option prices these bounds are new and robust in that they do not depend on the continuity of the stock price process complete markets or an assumed pricing kernel they depend only on the realized quadratic variation of the price process which can be measured and importantly hedged in financial markets using existing securities our results also apply directly to a new class of options called timer options finally we argue that the hannan blackwell strategy is path dependent and therefore suboptimal with a finite horizon we improve it by solving for the optimal path independent strategy and compare the resulting bounds with black scholes

on information and market dynamics the case of the u s beef market abstract the paper investigates the nature of dynamic prices and expectations in a competitive market the approach is applied to the u s beef market which exhibits cyclical patterns and significant biological lags in the production process beef price equations are estimated under different expectation regimes the empirical results indicate the presence of heterogeneous price expectations with a significant number of market participants neglecting information about the existence of a beef cycle

efficient trading strategies in the presence of market frictions we provide a price characterization of efficient contingent claims that is chosen by at least a rational agent in multiperiod economies with market frictions frictions include market incompleteness transaction costs short selling and borrowing costs we characterize the inefficiency cost of a trading strategy its required investment minus the largest amount necessary to obtain the same utility level and we propose a measure of portfolio performance we show that arbitrage bounds cannot be tightened based on efficiency without restricting preferences or endowments we observe common investment strategies becoming inefficient with market frictions and others rationalized by them in this article we characterize efficient contingent claims to future consumption consumption bundles in multiperiod economies with uncertainty taking a wide range of market frictions into account 1 such as dynamic market

beyond sharpe ratio optimal asset allocation using different performance ratios abstract as the assumption of normality in return distributions is relaxed classic sharpe ratio and its descendants become questionable tools for constructing optimal portfolios in order to overcome the problem asymmetrical parameter dependent performance ratios have been recently proposed in the literature the aim of this note is to develop an integrated decision aid system for asset allocation based on a toolkit of eleven performance ratios a multi period portfolio optimization up covering a fixed horizon is set up at first bootstrapping of asset return distributions is assessed to recover all ratios calculations at second optimal rebalanced weights are achieved at third optimal final wealth is simulated for each ratios eventually we make a robustness test on the best performance ratios empirical simulations confirm the weakness in forecasting of sharpe ratio whereas asymmetrical parameter dependent ratios such as the generalized rachev sortino satchell and farinelli tibiletti ratios show satisfactorily robustness

stochastic dominance and expected utility while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics

the dynamic black litterman approach to asset allocation abstract we generalize the black litterman bl portfolio management framework to incorporate time variation in the conditional distribution of returns in the asset allocation process we evaluate the performance of the dynamic bl model using both standard performance ratios as well as other measures that are designed to capture tail risk in the presence of non normally distributed asset returns we find that the dynamic bl model outperforms a range of different benchmarks moreover we show that the choice of volatility model has a considerable impact on the performance of the dynamic bl model

beyond arbitrage good deal asset price bounds in incomplete markets one often wants to value a risky payoff by reference to prices of other assets rather than by exploiting full fledged economic models however this approach breaks down if one cannot find a perfect replicating portfolio we impose weak economic restriction to derive usefully tight bounds on asset prices in this situation the bounds assume that investors would want to buy assets with high sharpe ratios good deals as well as pure arbitrage opportunities we show how to calculate the price bounds in one period multiperiod and continuous time contexts we show that the multiperiod problem can be solved recursively as a sequence of one period problems we calculate bounds in option pricing examples including infrequent trading and an option written on a nontraded event and we use the bounds to explore the economic significance of option pricing predictions we find that much variation in s p 500 index option prices over time and across strike prices fits within the bounds

financial market structures revealed by pricing rules efficient complete markets are prevalent abstract it is well known that when an arbitrage free financial market is incomplete or has tradable financial assets with frictions there must be multiple risk neutral probability measures the main motivation for the present study is to elucidate what type of market structure usually emerges from pricing rules first we obtain that finitely generated pricing rules characterized by polytopes of probabilities capture the class of all finite arbitrage free financial markets that are potentially incomplete or subject to frictions affecting tradable assets next we provide a novel characterization of efficient securities and introduce related notions of market completeness that underlies pricing rules our main result shows that the class of efficient complete markets with bid ask spreads is the prevalent case revealed by finitely generated pricing rules

optimal dynamic trading with leverage constraints we solve for the optimal dynamic trading strategy of an investor who faces a leverage constraint i e a limitation on his ability to borrow for the purpose of investing in a risky asset we assume that the investor has constant relative risk aversion and that the value of the risky asset follows a geometric brownian motion in the absence of the leverage constraint the optimal strategy involves investing a fixed proportion of wealth in the risky asset we prove that in the presence of the leverage constraint the optimal investment also involves investing a fixed proportion of wealth in the risky asset when the leverage constraint is not binding however the two proportions are different reflecting the extent to which the investor alters his strategy even when the leverage constraint is not binding because of the possibility that the leverage constraint will become binding in the future