one switch utility functions and a measure of risk consider the relative attractiveness to a decision maker of two financial gambles as the wealth of that individual varies it may seem reasonable that either one alternative should be preferred for all wealth levels or that there exists a unique critical wealth level at which the decision maker switches from preferring one alternative to the other decreasing risk aversion is not sufficient for this property to hold we identify the small class of utility functions for which it does we show how the property leads naturally to a measure of risk the results of this paper apply equally well to discounting functions for cash flows one switch discount functions permit at most one change in preference between cash flows as all payoffs are deferred in time

what to preserve an application of diversity theory to crane conservation this paper attempts to demonstrate how diversity theory can be applied to the analysis of real world conservation policies the specific example chosen to serve as a paradigm concerns preservation priorities among the fifteen species of cranes living wild throughout the world the example is sufficiently actual to show how diversity theory can be used operationally to frame certain critical conservation questions and to guide us toward answers by providing informative quantitative indicators of what to protect at the same time the cranes example is rich enough that it illustrates nicely some broad general principles about the economics of diversity preservation

complementarity and external linkages the strategies of the large firms in biotechnology in biotechnology large firms enter into different kinds of linkages with universities and small medium sized research intensive firms we test the hypothesis that the strategies of external linkage of the large firms with other parties are complementary to one another we show that if any two strategies are complementary i e undertaking more of one strategy raises the marginal value of the other then they are positively correlated using data for a sample large us european and japanese chemical and pharmaceutical producers we find that the strategies above are positively correlated even after controlling for firm specific characteristics

making a case for robust optimization models robust optimization searches for recommendations that are relatively immune to anticipated uncertainty in the problem parameters stochasticities are addressed via a set of discrete scenarios this paper presents applications in which the traditional stochastic linear program fails to identify a robust solution despite the presence of a cheap robust point limitations of piecewise linearization are discussed we argue that a concave utility function should be incorporated in a model whenever the decision maker is risk averse examples are taken from telecommunications and financial planning

export diversification through resource based industrialization the case of natural gas for small resource rich developing economies specialization in raw exports is usually considered to be detrimental to growth and resource based industrialization rbi is often advocated to promote export diversification this paper develops a new methodology to assess the performance of these rbi policies we first formulate an adapted mean variance portfolio model that explicitly takes into consideration i a technology based representation of the set of feasible export combinations and ii the cost structure of the resource processing industries second we provide a computationally tractable reformulation of the resulting mixed integer nonlinear optimization problem finally we present an application to the case of natural gas comparing current and efficient export oriented industrialization strategies of nine gas rich developing countries

the rationale of the mean standard deviation analysis skewness preference and the demand for money publisher summary this chapter discusses the rationale of the mean standard deviation analysis skewness preference and the demand for money in january 1969 issue of the review of economic studies karl borch and martin feldstein separately criticized the widely used mean variance analysis of portfolio selection borch contended that any system of upward sloping mean standard deviation e s indifference curves can be shown to be inconsistent with the basic axiom of choice under uncertainty he pointed out that one can always pick any two points on an upward sloping indifference curve to represent two bernoulli distributions with probability 1 p of gaining the same amount x in both the cases and probability p of gaining y1 in the case of one distribution and y2 in the case of the second distribution with y2 y1 if the second distribution represents the point to the northeast of the other point then by the dominance axiom the second distribution must be preferred to the first which contradicts the basic meaning of indifference curves feldstein by using a log utility function and a lognormal distribution for investment outcome showed that e s indifference curves for a risk averter need not be convex downwards though upward sloping they would change from convex to concave once the standard deviation of the outcome exceeds the mean multiplied by on the face of it this seems to suggest that risk aversion might decrease as risk is increased beyond a certain extent

too risky to hold the effect of downside risk accumulated equity wealth and firm performance on ceo equity reduction although the alignment effect of equity ownership is often studied with emphasis on changes in firm strategy the exposure of ceos firm specific wealth to firm risk is more easily controlled by changing their level of equity holdings than by changing firm strategic risk we rely on prospect theory and the behavioral theory of the firm to examine the antecedents of ceo equity reduction and investigate whether it serves to decouple ceo wealth from firm risk given its central role in loss avoidance we underline the effect of the firm s downside risk and distinguish the total loss potential on equity holdings from the loss potential due to firm specific factors allowing for own performance referents we also consider firm performance and the value of a ceo s equity holdings in the analysis based on a sample of 208 u s ceos for the years 1997 1999 we find empirical support for the role of downside risk and firm performance in ceo equity reductions implications on incentive alignment through equity ownership are presented

measures of perceived risk based on our previous work on the standard measure of risk this paper presents two classes of measures for perceived risk by decomposing a lottery into its mean and standard risk one of the classes of our risk measures presumes that there is no risk when there is no uncertainty involved and the other allows different degenerate lotteries to be evaluated with different values of risk the former has more prescriptive appeal in risky decision making but the latter may have more descriptive power for subjective risk judgments our risk measures can also take into account the asymmetric effects of losses and gains on perceived risk based on an appropriate choice of the standard measure of risk the perceived risk models we propose unify a large body of empirical evidence regarding risk judgments and provide sufficient flexibility to better capture people s perceptions of risk than previously developed risk models in particular our risk measures provide clear ways to accommodate financial measures of risk and psychological measures of risk and they can be incorporated into preference models in an appealing form based on mean risk tradeoffs

multivariate tests of the zero beta capm abstract a cross sectional regression test csrt of the capm is developed and its connection to the hotelling t2 test of multivariate statistical analysis is explored algebraic relations between the csrt the likehood ratio test and the langrange multiplier test are derived and a useful small sample bound on the distribution function of the csrt is obtained an application of the csrt suggests that the crsp equally weighted index is inefficient but that the inefficiency is not explained by a firm size effect from february to december

debt and seniority an analysis of the role of hard claims in constraining management we argue that long term debt has a role in controlling management s ability to finance future investments a company with high widely held debt will find it hard to raise capital since new security holders will have low priority relative to existing creditors conversely for a company with low debt we show there is an optimal debt equity ratio and mix of senior and junior debt if management undertakes unprofitable as well as profitable investments we derive conditions under which equity and a single class of senior long term debt work as well as more complex contracts for controlling investment behavior

a stochastic convergence model for portfolio selection portfolio selection techniques must provide decision makers with a dynamic model framework that incorporates realistic assumptions regarding financial markets risk preferences and required portfolio characteristics unfortunately multistage stochastic programming sp models for portfolio selection very quickly become intractable as assumptions are relaxed and uncertainty is introduced in this paper i present an alternative model framework for portfolio selection stochastic convergence sc that systematically incorporates uncertainty under a realistic assumption set the optimal portfolio is derived through an iterative procedure where portfolio plans are evaluated under many possible future scenarios then revised until the model converges to the optimal plan this approach allows for scenario analysis over all stochastic components requires no limitation on the structural form of the objective or constraints and permits evaluation over any length planning horizon while maintaining model tractability by aggregating the scenario tree at each stage in the solution process through focused aggregation schemes the sc approach allows for the implementation of a lower partial variance riskmetric which is preferred in investment selection in simulated tests the sc model with scenario aggregation generated portfolios exhibiting performance similar to those generated using the sp model form with no aggregation empirical tests using historical fund returns show that a multiperiod sc decision strategy outperforms various benchmarkstrate gies over a long term test horizon under both asset liability matching and return maximization frameworks

on the utility premium of friedman and savage we re examine the utility premium of friedman savage friedman milton and savage leonard j the utility analysis of choices involving risk journal of political economy 56 1948 pp 279 304 this measure is useful in understanding risky choices for instance its reaction to an increased wealth equates to a precautionary demand for saving we also analyze its two components c 2009 published by elsevier b v

the need to conserve farm animal genetic resources in africa should policy makers be concerned abstract this paper outlines key factors contributing to the erosion of animal genetic resources and discusses strategic options for policy makers the ratification of the convention on biological diversity cbd in 1993 represents an international consensus to conserve biodiversity including that of farm animal genetic resources fangr in africa conservation of agricultural biodiversity is inbuilt into the low input low output production strategies of smallholder farming systems these systems are often associated with poverty in rural areas and numerous development projects have thus sought to alleviate such poverty by promoting crossbreeding or modern reproductive technologies however uncontrolled crossbreeding has been and remains a threat to the conservation of local farm animal populations objectives for the conservation of a local farm animal population and opportunities to utilise its diversity to meet present and future market demands to serve as an insurance against environmental changes such as changes in production socio economic and cultural conditions can be identified for research and development to improve food security and to alleviate poverty through the conservation of fangr in africa utilisation of local farm animal populations depends on the ability of communities to decide on and implement appropriate breeding strategies it is for this reason that enabling policies are required

shortfall as a risk measure properties optimization and applications motivated from second order stochastic dominance we introduce a risk measure that we call shortfall we examine shortfall s properties and discuss its relation to such commonly used risk measures as standard deviation var lower partial moments and coherent risk measures we show that the mean shortfall optimization problem unlike mean var can be solved e7ciently as a convex optimization problem while the sample mean shortfall portfolio optimization problem can be solved very e7ciently as a linear optimization problem we provide empirical evidence a in asset allocation and b in a problem of tracking an index using only a limited number of assets that the mean shortfall approach might have advantages over mean variance 2003 elsevier b v all rights reserved

modeling international investment decisions for financial holding companies abstract this research analyzes the internationalization process model developed by johanson and vahlne and derives two integer programming investment decision models that consider the risk attitudes of investment firms johanson and vahlne s model provides a starting point for building a model that suits the investment approach and decision making process of financial holding companies in practice when firms make an international investment decision there is a need for a model that can generate outputs based on financial measures such as profit investment returns and tolerable levels of risk thus in this paper johanson and vahlne s concepts are studied and financial managers are interviewed to derive models that match the investment decision procedures of the firms the model helps firms manage the risks of their investments and derive accurate investment strategies based on investment objectives and constraints

a contextual uncertainty condition for behavior under risk suppose that your choice between uncertain financial prospects is made more difficult by two independent contextual uncertainties concerning the size of your existing wealth one contextual uncertainty has a greater spread than the other if you could resolve one of these contextual uncertainties before making your choice would you rather it be the larger or the smaller in this paper we explore the intuitive notion that it ought to be more advantageous to resolve larger rather than smaller contextual uncertainties the utility function for wealth uw aw be cwa b c 0 is the only utility function that satisfies this condition and that is also increasing and risk averse at all wealth levels

a simple approximation for semivariance abstract semivariance can differentiate among skewed return distributions but variance is unable to do so thus semivariance has been used as a risk surrogate in portfolio analysis and capital budgeting problems unfortunately semivariance analysis is relatively unknown and poses difficult analytic and computational problems in this paper an expression is derived which very closely approximates semivariance this expression is simple in form and uses only familiar statistics namely mean variance critical value and cumulative probability below the critical value

a standard measure of risk and risk value models in this paper we propose a standard measure of risk that is based on the converted expected utility of normalized lotteries with zero expected values this measure of risk has many desirable properties that characterize the notion of risk it is very general and includes many previously proposed measures of risk as special cases moreover our standard measure of risk provides a preference based and unified method for risk studies since the standard measure of risk is compatible with the measure of expected utility it can be used explicitly or implicitly in an expected utility model under a condition called risk independence a decision could be made by explicitly trading off between risk and value which offers an alternative representation of the expected utility model named the standard risk value model finally we discuss some other applications of the standard measure of risk and extensions of our risk value tradeoff framework for descriptive decision making

asset pricing in a generalized mean lower partial moment framework theory and evidence a new asset pricing model that generalizes earlier results in the downside risk literature is developed and empirically tested using a multivariate approach by specifying risk as deviations below any arbitrary target rate of return the generalized mean lower partial moment mlpm model overcomes the limited appeal of earlier formulations and moreover a large class of extant pricing models using alternative risk measures variance semivariance semideviation probability of loss etc becomes special cases of the new framework empirical tests indicate that the new model cannot be rejected against an unspecified alternative for a large set of target rates of return the traditional capm on the other hand is rejected as a well specified alternative the mlpm target rates inferred from market data appear to be related to equity market mean returns rather than to the riskfree rate the target rate that is implicit in the capm and explicit in earlier downside risk formulations the attractiveness of downside risk measures for decision making purposes has been noted in the financial economic literature for over a quarter of a century 1 risk from this perspective is measured in terms of deviations below some exogenously prespecified target rate of return and a formal analysis of these risk measures for various utility functions has been presented by bawa 1975 in terms of the lower partial moment lpm of the asset distributions the appeal of these risk measures has been based in part on their consistency with the way individuals actually perceive risk notwithstanding its intuitive appeal this area of research has been virtually neglected in recent years we believe that this disaffection with downside risk models tends from two sources first earlier models of this genre exogenously specify the target rate to equal the risk free interest rate in the absence of a satisfactory theory for explaining how investors establish their target rates this assumption as argued herein has been motivated more by technical reasons than economic considerations second empirical tests

efficiency in hierarchies implementing the first best solution by sequential actions a model of a firm with one principal and two agents is considered the actions of the agents are not observed by the principal hence there is moral hazard it is shown that when the agents act sequentially that is agent 2 takes his action conditional upon agent i s choicethe first best actions can be implemented by a suitable choice of the incentive schemes given to the two agents the result relies both on the sequential nature of the game and on the particular specification of the effect that the agents actions have on output several extensions and applications of the framework are suggested in particular it is shown that the analysis generalizes to the case of more than two agents

two moment decision models and expected utility maximization two moment decision models are consistent with expected utility maximization only if the choice set or the agent s preferences are restricted this paper identifies a restriction which is sufficient to ensure this consistency and confirms that it holds in many economic models the implications for economic analysis are then derived two different approaches to representing an agent s preferences over strategies yielding random payoffs are in wide use under the mean standard deviation ms approach the agent is assumed to rank the alternatives according to the value of some function defined over the first two moments of the random payoff while the expected utility eu criterion assumes that the expected value of some utility function defined over payoffs is used instead the fact that there are these two competing approaches has generated a considerable literature some authors are concerned with the advantages and disadvantages of each while others deal with conditions under which the potentially different approaches would yield the same results or at least approximately so space does not

fuzzy multi period portfolio selection with different investment horizons abstract this paper considers a fuzzy multi period portfolio selection problem with v shaped transaction cost compared with the traditional studies assuming that assets have the same investment horizon we handle the practical but complicated situation in which assets have different investment horizons within the framework of credibility theory a mean variance model is formulated with the objective of maximizing the terminal return under the total risk constraint over the whole investment alternatively a variation is given by minimizing the total risk under the terminal return constraint a fuzzy simulation based genetic algorithm fsga is designed and three numerical examples are given to illustrate the effectiveness of the proposed approach

comparative statics under uncertainty the case of mean variance preferences we analyze the comparative statics of optimal decisions under uncertainty when preferences are represented by twomoment mean variance utility functions we relate our findings to concepts for risk attitudes that are familiar from the expected utility approach in the two parameter approach a number of plausible comparative static effects already emerges under the assumption of decreasing absolute risk aversion to determine comparative static effects of changes in background risks stronger concepts are needed risk vulnerability temperance and standardness imply appropriately transferred to the mean variance framework the plausible effect that risk taking will be reduced if background risks increase 2002 elsevier b v all rights reserved

the benefits of differential variance based constraints in portfolio optimization abstract the main problem of portfolio optimization is parameter estimation error various methods have been suggested to mitigate this problem among which are shrinkage resampling bayesian updating naive diversification and imposing constraints on the portfolio weights this study suggests two substantial extensions of the constrained optimization approach the variance based constraints vbc and the global variance based constraints gvbc methods by the vbc method the constraint imposed on the weight of a given stock is inversely proportional to its standard deviation the higher a stock s sample standard deviation the higher the potential estimation error of its parameters and therefore the tighter the constraint imposed on its weight gvbc employs a similar idea but instead of imposing a sharp boundary constraint on each stock a quadratic cost is assigned to deviations from the naive 1 n weight and a single global constraint is imposed on the total cost of all deviations comparing ten optimization methods we find that the two new suggested methods typically yield the best performance as measured by the sharpe ratio gvbc ranks first these results are obtained for two different datasets and are also robust to the number of assets under consideration

risk value models restrictions and applications abstract sarin and weber european journal of operational research 70 1993 135 and others have argued for the expression of preferences under risk by the use of risk value models which have the intuitively appealing property that absence of certainty enters the decision maker s preference function only through a well defined risk argument the present paper proposes axioms which should be satisfied by any such model and explores the restrictions that the axioms place on the preference function implications for absolute and relative risk aversion are considered and the usefulness of the approach is demonstrated with applications to portfolio theory and the theory of the firm

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

the economic valuation of farm animal genetic resources a survey of available methods abstract genetic erosion of domestic animal diversity has placed 30 of the world s breeds at risk of extinction often as a result of government policy programmes conservation and sustainable development of animal genetic resources angr require a broad focus that includes the many adaptive breeds that survive well in the low external input agriculture typical of developing countries environmental economic valuation methodologies have an important role to play in supporting decisions regarding which breeds should be conserved and how this should be done however angr in general and valuation methods in particular have received very little attention this paper provides a survey of the methods available for the valuation of angr and the steps that must be taken in order to test some of the more promising methodologies in practice

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

mean variance analysis of a single supplier and retailer supply chain under a returns policy abstract in the literature most of the supply chain coordinating policies target at improving the supply chain s efficiency in terms of expected cost reduction or expected profit improvement however optimizing the expected performance alone cannot guarantee that the realized performance measure will fall within a small neighborhood of its expected value when the corresponding variance is high moreover it ignores the risk aversion of supply chain members which may affect the achievability of channel coordination as a result we carry out in this paper a mean variance mv analysis of supply chains under a returns policy we first propose an mv formulation for a single supplier single retailer supply chain with a newsvendor type of product the objective of each supply chain decision maker is to maximize the expected profit such that the standard deviation of profit is under the decision maker s control we study both the cases with centralized and decentralized supply chains we illustrate how a returns policy can be applied for managing the supply chains to address the issues such as channel coordination and risk control extensive numerical studies are conducted and managerial findings are proposed

the motivating uncertainty effect uncertainty increases resource investment in the process of reward pursuit can a reward of an uncertain magnitude be more motivating than a reward of a certain magnitude this research documents the motivating uncertainty effect and specifies when this effect occurs people invest more effort time and money to qualify for an uncertain reward e g a 50 chance at 2 and a 50 chance at 1 than a certain reward of a higher expected value e g a 100 chance at 2 this effect arises only when people focus on the process of pursuing a reward not when they focus on the outcome the reward itself when the focus is on the process of reward pursuit uncertainty generates positive experience such as excitement and hence increases motivation four studies involving real rewards lend support to the motivating uncertainty effect this research carries theoretical implications for research on risk preference and motivation and practical implications for how to devise cost efficient consumer incentive systems

optimal mean variance portfolio selection using cauchy schwarz maximization fund managers highly prioritize selecting portfolios with a high sharpe ratio traditionally this task can be achieved by revising the objective function of the markowitz mean variance portfolio model and then resolving quadratic programming problems to obtain the maximum sharpe ratio portfolio this study presents a closed form solution for the optimal sharpe ratio portfolio by applying cauchy schwarz maximization and the concept of kuhn tucker conditions an empirical example is used to demonstrate the efficiency and effectiveness of the proposed algorithms moreover the proposed algorithms can also be used to obtain the optimal portfolio containing large numbers of securities which is not possible or at least is complicated via traditional quadratic programming approaches

analysis of the conditional stock return distribution under incomplete specification abstract the analysis of the distribution of the stock returns plays an important role in financial theory since a distributional assumption is required for mean variance portfolio theory theoretical models of capital asset prices determining the price of derivative products efficient estimation by maximum likelihood procedure and establishing forecasting confidence intervals up to now most of the studies analyze the unconditional distribution of the stock returns using the likelihood ratio test the schwarz information criterion or by graphical analysis however the analysis of the conditional distribution is very important since most of the empirical financial studies use high frequency data and these data present dynamic structure in this paper we focus on the conditional distribution we design different bootstrap mechanisms for comparing the goodness of fit of several functional forms postulated under the null hypothesis for individual spanish stocks and for the general index of the madrid stock market we use the cramer von mises test statistic based on the standardized residuals and assuming that the null distribution can depend on some unknown parameters

optimal debt structure and the number of creditors within an optimal contracting framework we analyze the optimal number of creditors a company borrows from we also analyze the optimal allocation of security interests among creditors and intercreditor voting rules that govern renegotiation of debt contracts the key to our analysis is the idea that these aspects of the debt structure affect the outcome of debt renegotiation following a default debt structures that lead to inefficient renegotiation are beneficial in that they deter default but they are also costly if default is beyond a manager s control the optimal debt structure balances these effects we characterize how the optimal debt structure depends on firm characteristics such as its technology its credit rating and the market for its assets

on the unimodality of the price setting newsvendor problem with additive demand under risk considerations abstract we present a mean variance analysis of the single product single period price setting newsvendor problem with additive price dependent demand the main goal of this paper is to use a mean variance framework to solve any risk sensitive instance and find conditions under which the unimodality of the problem is guaranteed we introduce such conditions via the lost sales rate elasticity the elasticity of the optimal price and the elasticity of the expected safety stock surplus to provide managerial insight in terms of the newsvendor s level of service we also simplify the optimization problem in case that those conditions do not hold the main contribution of this paper is that by evaluating the unimodality of the problem for any possible risk attitude it extends previously published results found for the concavity of the solution in risk neutral and moderately risk sensitive cases

forecasting the volatility of crude oil futures using intraday data abstract we use the information in intraday data to forecast the volatility of crude oil at a horizon of 1 66 days using a variety of models relying on the decomposition of realized variance in its positive or negative semivariances part and its continuous or discontinuous part jumps we show the importance of these decompositions in predictive in sample regressions using a number of specifications nevertheless an important empirical finding comes from an out of sample analysis which unambiguously shows the limited interest of considering these components overall our results indicates that a simple autoregressive specification mimicking long memory and using past realized variances as predictors does not perform significantly worse than more sophisticated models which include the various components of realized variance

decision making in livestock conservation in this article theory and practical implementations of decision making in livestock conservation are reviewed it is argued that the objective of livestock conservation is a composite of maintaining between and within breed diversity and single breeds of recognised value assuming that this goal can be reflected in an objective function decision making requires maximisation of this objective function with or without restrictions different strategies have been proposed in the literature to achieve this goal while the diversity measure suggested by weitzman 1992 weitzman m l 1992 on diversity quart j economics cvii 363 405 is not fully appropriate to be applied to breed conservation within livestock species the approach of maximising expected diversity weitzman 1993 weitzman m l 1993 what to preserve an application of diversity theory to crane conservation quart j economics cvii 157 183 is seen as a fundamental concept in this area although highly elaborate methods of decision making are discussed in the scientific literature the concepts presently used by national or international authorities or non government organisations are rather simplistic mainly risk related and based on simple functions of population size it is argued that decision making has to account for the global diversity of a species and therefore decisions and conservation activities should be coordinated on an international level the use of more appropriate decision rules will strongly increase the cost efficiency of conservation investments livestock conservation should be based on an extended objective function reflecting the expected future value of the conserved set of breeds which encompasses within and between breed diversity as well as specific traits and cultural or scientific value of the main breeds a critical issue is the derivation of the required parameters like the breed value or the risk status of a breed since it will generally be difficult to obtain exact values decision making under uncertainty will be the usual challenge and bayesian decision theory might be an option the optimum allocation pattern and implementation of conservation activities can be derived based on weitzman s expected diversity concept approximate decision rules for breed prioritisation based on the extinction probability of a breed and its marginal objective function are given even if the respective parameters are not perfectly known the use of the suggested approaches has the potential to double the cost efficiency in terms of maintained diversity per conservation dollar spent compared to the simplistic approaches that are used today d 2005 elsevier b v all rights reserved

separating risk and return in the capm a general utility based model abstract the author proposes a new utility function which captures trade offs between return and a large body of risk measures as defined by popular risk return models in the management science literature while exhibiting desirable properties for a financial investor this function forms the basis for an extension to the capital asset pricing model which links general asymmetric risk measures and risk value models with equilibrium asset pricing

non separation in the mean lower partial moment portfolio optimization problem abstract with a number of advantages lower partial moments lpm serve as alternatives to variance as measures of portfolio risk for two specific targets a separation property holds in the context of mean lpm portfolio optimization that allows investors to separate the decision about investment proportions among risky assets from the decision about how much to invest in risky versus risk free assets for other targets however separation is not guaranteed and this case has not received much attention in the literature we show in the case of non separation that investment curves are not common to all optimizing investors but that they are convex in mean lpm space and their lower envelope is the efficient frontier we consider the interesting behavior of investment curves and optimal risky portfolios we also show empirically that an investor who mistakenly assumes separation holds will not experience significant excess portfolio risk in all practical cases

robust tracking error portfolio selection with worst case downside risk measures abstract this paper proposes downside risk measure models in portfolio selection that captures uncertainties both in distribution and in parameters the worst case distribution with given information on the mean value and the covariance matrix is used together with ellipsoidal and polytopic uncertainty sets to build up this type of downside risk model as an application of the models the tracking error portfolio selection problem is considered by lifting the vector variables to positive semidefinite matrix variables we obtain semidefinite programming formulations of the robust tracking portfolio models numerical results are presented in tracking sse50 of the shanghai stock exchange compared with the tracking error variance portfolio model and the equally weighted strategy the proposed models are more stable have better accumulated wealth and have much better sharpe ratio in the investment period for the majority of observed instances

a method for strategic asset liability management with an application to the federal home loan bank of new york strategic asset liability management is a primary concern in today s banking environment in this paper we present a methodology to assist in the process of asset liability selection in a stochastic interest rate environment in our approach a quadratic optimizer is embedded in a simulation model and used to generate patterns of dividends market value and duration of capital for randomly generated interest rate scenarios this approach can be used to formulate test and refine asset liability strategies we present results of applying this methodology to data from the federal home loan bank of new york

portfolio optimization under loss aversion abstract we present an integrated methodological approach for selecting portfolios the proposed methodology is focused on incorporation of investor s preferences in the mean risk framework we propose a risk measure calculated with the downside part of the portfolio return distribution which we argue captures better the practical behavior of the loss averse investor we establish its properties study the link with stochastic dominance criteria point out the relations with conditional value at risk and lower partial moment of first order and give the explicit formula for the case of scenario based portfolio optimization the proposed methodology involves two stages firstly the investment opportunity set efficient frontier is determined and secondly one single preferred efficient portfolio is selected namely the one having the highest expected utility value three classes of utility functions with loss aversion corresponding to three types of investors are considered the empirical study is targeted on assessing the differences between the efficient frontier of the proposed model and the classical mean variance mean cvar and mean lpm1 frontiers we firstly analyze the loss of welfare incurred by using another model instead of the proposed one and measure the corresponding gain loss of utility secondly we assess how much the portfolios really differ in terms of their compositions using a dissimilarity index based on the 1 norm we describe and interpret the optimal solutions obtained and emphasize the role and influence of loss aversion parameters values and of constraints three types of constraints are studied no short selling allowed a certain degree of diversification imposed and short selling allowed

international portfolio diversification with estimation risk international portfolio diversification has long been advocated as a way of enhancing average returns while reducing portfolio risk for the investor who considers diversifying into foreign securities this proposition however relies on the assumption that the required inputs to the classical mean variance analysis are known with certainty typically expected returns variances and covariances are simply replaced by their ex post sample values and the optimal portfolio is derived without mentioning the uncertainty inherent in these parameter values but the rational investor should take this uncertainty into account when forming expectations and probably will consider estimators that are less subject to estimation error than the classical sample mean this paper investigates alternative estimators of expected returns and their implications for the alleged gains from diversification an important observation is the crucial influence that errors in estimating expected returns have on portfolio analysis a closer examiprevious studies of international portfolio diversification have relied on ex post meanvariance analysis without considering the problem of estimation risk typically past averages are substituted for expected returns and no allowance is made for the uncertainty inherent in these parameter values first i demonstrate the shortcomings of such an approach and second i investigate another method of estimating expected returns initially proposed by stein by shrinking the sample averages toward a common mean i find that the out of sample performance of the optimal portfolio is substantially increased one of the implications of this method is that the classical conclusions vastly overestimate the possible gains in average returns instead benefits from diversification are more likely to accrue from a reduction in risk this paper draws on part of my dissertation at the university of chicago i am grateful to arnold zellner michael mussa george constantinides and especially john bilson for useful discussions and comments numerous improvements were also suggested by the referee this research received the generous financial support of the college interuniversitaire d etudes doctorales dans les sciences du management

portfolio optimization under lower partial moments in emerging electricity markets evidence from turkey abstract optimization of the electricity markets under modern portfolio theory has a crucial role for financial decision makers power suppliers in deregulated electricity markets need to optimize their generation capacities and bidding strategies so as to effectively participate in bilateral contract and spot markets market players have to deal with continuously changing electricity prices in competitive electricity market environment during their daily routine system operations electricity not like the others is a unique product service and cannot be stored economically however it should be generated and consumed simultaneously in addition to all power suppliers face with fuel price water regime delivery and network risks in view of the scene described above prudent decision making methodologies are of critical importance to maximize profit while minimizing managing risks this paper presents a comprehensive comparison of mean variance down side and semi variance methods for optimization in electricity markets and the corresponding methodologies to maximize the return while minimizing risk real turkish day ahead market data set between december 2009 and december 2012 is used in numerical calculations generation cost data of hydraulic plants lignite coal fired thermal power plants and natural gas combined cycle power plants are taken into consideration in the course of optimization evaluations in the present of real data these methods can also be applied to renewable energy generation types these three methods were able to be applied to all case scenarios effectively and produced efficient frontiers optimal minimal portfolios and utility functions successfully the results have revealed that the methods significantly provide decisions for power suppliers with different risk aversion levels and for various instruments to maximize the profit while minimizing the associated market risks and to meet generation obligations consequently financial optimization under lower partial moments constraints would give notable results in analyzing the efficient frontiers for electricity markets in turkey

mean lower partial moment valuation and lognormally distributed returns in this paper we develop a capital asset pricing model in a mean lower partial moment framework specifically we show that when partial moments are computed about the expected risky portfolio return optimal portfolio choice in a mean lower partial framework permits a two fund portfolio separation between a riskless asset and a market portfolio of risky assets in this new framework risk is measured as semideviation for second degree stochastic dominance and semivariance for third degree stochastic dominance further when security returns are lognormally distributed and small risk this new mean lower partial moment valuation specializes to the mean logarithmic variance capital asset pricing model

a risk return model with risk and return measured as deviations from a target return two attribute risk and return models are very popular in the economics and finance literature for analyzing decisions under uncertainty their popularity stems primarily from the intuitive appeal of the dichotomy into risk and return and from the ease with which the concepts can be diagrammed in two dimensions the most commonly used risk return model is the mean variance model in which risk is measured as the variance and return by the mean of the probability distribution over outcomes the mean variance model has a number of shortcomings which are widely known but of particular concern here are the facts that 1 mean variance dominance is neither necessary nor sufficient for second degree stochastic dominance 2 unless the form of the probability distribution is restricted mean variance is consistent with von neumann morgenstern utility theory only if the utility function is quadratic and 3 as peter fishburn has noted

wealth constraints and option contracts in models with sequential investments summary the paper investigates a model where two parties a and b invest sequentially in a joint project an asset investments and the asset value are nonverifiable and a is wealth constrained so that an initial outlay must be financed by either agent b insider financing or an external investor a bank c outsider financing we show that an option contract in combination with a loan arrangement facilitates first best investments and any arbitrary distribution of surplus if renegotiation is infeasible moreover the optimal strike price of the option is shown to dier across financing modes if renegotiation is admitted we identify conditions under which the first best can still be attained then either b financing or c financing may be strictly preferable and a combination of insider and outsider financing may be strictly optimal

variance vs downside risk is there really that much difference abstract the popularity of downside risk among investors is growing and mean return downside risk portfolio selection models seem to oppress the familiar mean variance approach the reason for the success of the former models is that they separate return fluctuations into downside risk and upside potential this is especially relevant for asymmetrical return distributions for which mean variance models punish the upside potential in the same fashion as the downside risk the paper focuses on the differences and similarities between using variance or a downside risk measure both from a theoretical and an empirical point of view we first discuss the theoretical properties of different downside risk measures and the corresponding mean downside risk models against common beliefs we show that from the large family of downside risk measures only a few possess better theoretical properties within a return risk framework than the variance on the empirical side we analyze the differences between some us asset allocation portfolios based on variances and downside risk measures among other things we find that the downside risk approach tends to produce on average slightly higher bond allocations than the mean variance approach furthermore we take a closer look at estimation risk viz the effect of sampling error in expected returns and risk measures on portfolio composition on the basis of simulation analyses we find that there are marked differences in the degree of estimation accuracy which calls for further research

a theory of debt and equity diversity of securities and manager shareholder congruence this paper shows how the optimal financial structure of a firm complements incentive schemes to discipline managers and how the securities return streams determine the claim holders incentives to intervene in management the theory rationalizes 1 the multipucity of securities 2 the observed correlation between return streams and control rights of securities and 3 the partial congruence between managerial and equity holder preferences over policy choices and monetary rewards as well as the low level of interference of equity in management the theory also offers new prospects for a reappraisal of the earlier corporate finance literature

mean risk analysis with enhanced behavioral content abstract we study a mean risk model derived from a behavioral theory of disappointment with multiple reference points one distinguishing feature of the risk measure is that it is based on mutual deviations of outcomes not deviations from a specific target we prove necessary and sufficient conditions for strict first and second order stochastic dominance and show that the model is in addition a convex risk measure the model allows for richer and behaviorally more plausible risk preference patterns than competing models with equal degrees of freedom including expected utility eu mean variance m v mean gini m g and models based on non additive probability weighting such as dual theory dt in asset allocation the model allows a decision maker to abstain from diversifying in a positive expected value risky asset if its performance does not meet a certain threshold and gradually invest beyond this threshold which appears more acceptable than the extreme solutions provided by either eu and m v always diversify or dt and m g always plunge in asset trading the model provides no trade intervals like dt and m g in some but not all situations an illustrative application to portfolio selection is presented the model can provide an improved criterion for mean risk analysis by injecting a new level of behavioral realism and flexibility while maintaining key normative properties

contingent portfolio programming for the management of risky projects methods for selecting a research and development r d project portfolio have attracted considerable interest among practitioners and academics this notwithstanding the industrial uptake of these methods has remained limited partly because of the difficulties of capturing relevant concerns in r d portfolio management motivated by these difficulties we develop contingent portfolio programming cpp which extends earlier approaches in that it i uses states of nature to capture exogenous uncertainties ii models resources through dynamic state variables and iii provides guidance for the selection of an optimal project portfolio that is compatible with the decision maker s risk attitude although cpp is presented here in the context of r d project portfolios it is applicable to a variety of investment problems where the dynamics and interactions of investment opportunities must be accounted for

the impact of financial leverage on risk of equity measured by loss oriented risk measures an option pricing approach abstract we investigate how financial leverage influences the risk of equity in companies with limited liability in our study the risk is measured by loss oriented risk measures var downside deviation etc also the dependence of the risk premium on risk is under consideration var based and downside risk measures are considered in similar frameworks and risk premium is introduced which is symmetrical to these risk measures the value of equity is modeled by the price of a call option in most cases there is a positive relationship between the level of leverage measured by the debt ratio and the risk measured by the loss oriented risk measures however there exist exceptions the risk premium is not a linear function of the risk still for a reasonable range of leverage the dependence of the risk premium on risk is approximately linear in most cases

a generalized utility model of disappointment and regret effects on post choice valuation in this paper we show that performance information about forgone alternatives i e alternative that were considered but not chosen can have a significant impact on post choice valuation our approach introduces a new and parsimonious way of looking at satisfaction that combines the literature on post choice valuation with research regarding generalized expected utility theory while the post valuation literature focuses on the selected brand as the valuation s basis e g anderson and sullivan anderson e w m w sullivan 1993 the antecedents and consequences of customer satisfaction for firms marketing sci 12spring 125 143 bolton and drew bolton r j drew 1991 a multistage model of customers assessments of service quality and value j consumer res 17 375 384 we draw on a stream of research in generalized expected utility theory that considers both chosen and forgone alternatives as the basis for valuation e g bell bell d 1983 risk premiums for decision regret management sci 29 1156 1166 and bell d 1985 disappointment in decision making under uncertainty oper res 33 1 27 loomes and sugden loomes g r sugden 1982 regret theory an alternative theory of rational choice under uncertainty the econom j 92 805 824 and loomes g r sugden 1986 disappointment and dynamic consistency in choice under uncertainty rev econom stud 53 271 282 the result is a combined model of post choice valuation that explicitly incorporates both concepts specifically we extend the existing paradigm of post choice valuation to include buyers regret concerning forgone alternatives proposing a generalized utility theory based treatment of post choice product assessment that uses the intuitively appealing concepts of disappointment and regret as the basis we propose a model for conceptualizing post choice valuation that is consistent with the existing literature discuss how this model extends the construct to consider the influence of forgone alternatives and report results of an empirical test that contrasts our model to important recent work in the area e g boulding et al boulding w a kalra r staelin v a zeithaml 1993 a dynamic process model of service quality from expectations to behavioral intentions j marketing res 30february 7 27 our generalized model of post choice valuation is based on the sum of three components that represent factors that may contribute to consumers assessment of a chosen product or service the first component is expected performance the second component is disappointment which captures the discrepancy between actual and expected performance much as the disconfirmation construct in traditional satisfaction research the third component is regret which captures the difference between the performance of the chosen product service and the performance of a forgone product service this perspective is useful in that risk is captured by the disappointment and regret terms providing an intuitively appealing decomposition of post choice valuation and offering several advances over previous representations of disappointment and regret we test our model via a choice experiment participants in the empirical study were asked to make choices between successive lottery pairs they were then given outcome feedback on the forgone alternative as well as on the chosen alternative in each lottery pair immediately following outcome feedback for each choice subjects were asked to evaluate their decision our results clearly suggest an effect of regret on post choice valuation information about the forgone alternative influenced subjects valuation of the chosen alternative we also find evidence that as predicted the effects of disappointment and regret on post choice valuation are asymmetric specifically the negative effect of disappointment on post choice valuation was greater than the positive effect of elation similarly the negative effect of regret was greater than the positive impact of rejoicing our research offers five contributions to the literature on post choice valuation first our results illustrate the advantage of using generalized utility theory as the basis for conceptualizing and modeling post choice valuation we derive a model of post choice valuation that formally captures the components of disappointment and regret and show that the outcome of both the chosen alternative through disappointment and a forgone alternative through regret can influence the chosen alternative s valuation second we formally integrate the concepts of disappointment and regret which have been examined separately for many years into a single model based on a multiattribute preference structure third we argue that the effects of disappointment and regret on post choice valuation are asymmetric and present empirical evidence in this regard fourth our results suggest that word of mouth regarding forgone alternatives may affect post choice valuation extending research that has not heretofore considered forgone outcomes role in this process finally our development provides a preconsumption measure of potential disappointment and regret in modeling choice at the time of choice consumers may visualize the feelings of disappointment and or regret that will be derived at consumption taking into account both the chosen brand and forgone brands our generalized utility theory based approach to the post choice valuation construct can be useful in examining the role of disappointment and regret as preconsumption constructs

optimal algorithms and lower partial moment ex post results portofolio management in the finance literature has typically used optimization algorithms to determine security allocations within a portfolio in order to obtain the best trade off between risk and return these algorithms despite some improvements are restrictive in terms of an investor s risk aversion utility function since individual investors have different levels of risk aversion this paper proposes two portfolio optimization algorithms that can be tailored to the specific level of risk aversion of the individual investor and performs ex postevaluation tests of the algorithm performance