On the impossibility of fair risk allocation

Measuring and allocating risk properly are crucial for performance evaluation and internal capital allocation of portfolios held by banks, insurance companies, investment funds and other entities subject to financial risk. We show that by using a coherent measure of risk it is impossible to allocate risk satisfying the natural requirements of (Solution) Core Compatibility, Equal Treatment Property and Strong Monotonicity. To obtain the result we characterize the Shapley value on the class of totally balanced games and also on the class of exact games.

Tőkeallokáció nem likvid portfóliók esetén (Risk capital allocation in case of illiquid portfolios)

A kockázat jó mérése és elosztása elengedhetetlen a bankok, biztosítók, befektetési alapok és egyéb pénzügyi vállalkozások belső tőkeallokációjához vagy teljesítményértékeléséhez. A cikkben bemutatjuk, hogy a koherens kockázati mértékek axiómáit nem likvid portfóliók esetén is el lehet várni. Így mérve a kockázatot, ismertetünk a kockázatelosztásra vonatkozó két kooperatív játékelméleti cikket. Az első optimista, eszerint mindig létezik stabil, az alegységek minden koalíciója által elfogadható, általános módszer a kockázat (tőke) elosztására. A második cikk pesszimista, mert azt mondja ki, hogy ha a stabilitás mellett igazságosak is szeretnénk lenni, akkor egy lehetetlenségi tételbe ütközünk. / === / Measuring and allocating risk properly are crucial for performance evaluation and internal capital allocation of portfolios held by banks, insurance companies, investment funds and other entities subject to fi nancial risk. We argue that the axioms of coherent measures of risk are valid for illiquid portfolios as well. Then, we present the results of two papers on allocating risk measured by a coherent measure of risk. Assume a bank has some divisions. According to the fi rst paper there is always a stable allocation of risk capital, which is not blocked by any coalition of the divisions, that is there is a core compatible allocation rule (we present some examples for risk allocation rules). The second paper considers two more natural requirements, Equal Treatment Property and Strong Monotonicity. Equal Treatment Property makes sure that similar divisions are treated symmetrically, that is if two divisions make the same marginal risk contribution to all the coalition of divisions not containing them, then the rule should allocate them the very same risk capital. Strong Monotonicity requires that if the risk environment changes in such a way that the marginal contribution of a division is not decreasing, then its allocated risk capital should not decrease either. However, if risk is evaluated by any coherent measure of risk, then there is no risk allocation rule satisfying Core Compatibility, Equal Treatment Property and Strong Monotonicity, we encounter an impossibility result.

Koherens kockázatmérés és tőkeallokáció = Coherent risk measurement and capital allocation

Bármennyire szeretne is egy bank (vállalat, biztosító) csak az üzletre koncentrálni, nem térhet ki a pénzügyi (hitel-, piaci, operációs, egyéb) kockázatok elől, amelyeket mérnie és fedeznie kell. A teljes fedezés vagy nagyon költséges, vagy nem is lehetséges, így a csőd elkerülésre minden gazdálkodó egységnek tartania kell valamennyi kockázatmentes, likvid tőkét. Koherens kockázatmérésre van szükség: az allokált tőkének tükröznie kell a kockázatokat - azonban még akkor is felmerül elosztási probléma, ha jól tudjuk mérni azokat. A diverzifikációs hatásoknak köszönhetően egy portfólió teljes kockázata általában kisebb, mint a portfóliót alkotó alportfóliók kockázatának összege. A koherens tőkeallokáció során azzal a kérdéssel kell foglalkoznunk, hogy mennyi tőkét osszunk az alportfóliókra, vagyis hogyan osszuk el „kor­rekt” módon a diverzifikáció előnyeit. Így megkapjuk az eszközök kockázathoz való hozzájárulását. A tanulmányban játékelmélet alkalmazásával, összetett opciós példákon keresztül bemutatjuk a kockázatok következetes mérését és felosztását, felhívjuk a figyelmet a következetlenségek veszélyeire, valamint megvizsgáljuk, hogy a gyakorlatban alkalmazott kockázatmérési módszerek [különösen a kockáztatott érték (VaR)] mennyire felelnek meg az elmélet által szabott követelményeknek. ____________________ However much a bank (or company or insurance provider) concentrates only on business, it cannot avoid financial (credit, market, operational or other) risks that need to be measured and covered. Total cover is either very expensive or not even possible, so that every business unit has to hold some risk-free liquid capital to avoid insolvency. What it needs is coherent risk measurement: the capital allocated has to match the risks, but even if the risks are measured well, distribution problems can still arise. Thanks to diversification effects, the total risk of a portfolio is less than the sum of the risks of its sub-portfolios. Coherent capital allocation entails addressing the question of how much capital to divide among the sub-portfolios, or how to distribute ‘correctly’ the advantages of diversification. This yields the contribution of the assets to the risk. The study employs game theory and examples of compound options to demonstrate coherent measurement and distribution of risks. Attention is drawn to the dangers of inconsistencies. The authors examine how far the methods of risk measurement applied in practice (notably VaR—value at risk) meet the requirements set in theory.

Profit, fenntarthatóság és etika

A nagy német filozófus, Martin Heidegger szerint a modern technológia sodorja végveszélybe az emberi és természeti létezést. A modern technológia ökológiai és etikai veszélyessége kétségtelen, azonban csak a modern vállalati működés segítségével fejti ki a hatásait. A profit-hajszoló modern vállalatok azok, amelyek veszélyeztetik a természeti ökoszisztémák integritását és biológiai sokféleségét, a helyi közösségek autonómiáját és kultúráját, valamint a jövő generációk életesélyeit. A tanulmányban a profit-maximalizálás kritikáját vázoljuk fel, és a gazdasági racionalitás egy átfogó, ökológiai és etikai értelmezését adjuk. Nem a profit eltörléséről van szó, hanem a kíméletlen profit-hajszolás megregulázásáról. A profit a gazdasági cselekvés jogos és természetes gyümölcse, ha az azt létrehozó tevékenység fenntartható és etikus módon megy végbe.

Nagyobb változatosság, több profit. A termékvariánsok számának növelése mint a profitmaximalizálás eszköze

A tanulmány azt a kérdést vizsgálja egy duopólium modellben, hogy egy termelőnek érdemes-e lényegében ugyanazt a terméket több formában, differenciáltan piacra dobnia. A modell ebben a csupasz formájában csak igen korlátozott mértékben épít a játékosok közti interakciókra, egy egyszer˝u szimultán döntési folyamatot ábrázol, azt is statikus környezetben. Az elemzés azt mutatja, hogy a keresleti paraméterek bizonyos értékei mellett még akkor is érdemes új, az eddigiektől eltérő tulajdonságú, differenciált termék piacra vitele, ha annak ára nem tér el a már korábban bevezetett terméktől, és így annál önmagában nem tekinthet˝o nagyobb nyereséget biztosítónak. Az a tény, hogy egy vállalat több differenciált termékvariánst árusít, arra vezet, hogy a korábbi egyensúlyi helyzethez képest kedvezőbb pozícióba kerül, mint a versenytársa.

On the impossibility of fair risk allocation

Measuring and allocating risk properly are crucial for performance evaluation and internal capital allocation of portfolios held by banks, insurance companies, investment funds and other entities subject to financial risk. We show that by using coherent measures of risk it is impossible to allocate risk satisfying simultaneously the natural requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity. To obtain the result we characterize the Shapley value on the class of totally balanced games and also on the class of exact games.

Properties of risk capital allocation methods: Core Compatibility, Equal Treatment Property and Strong Monotonicity

In finance risk capital allocation raises important questions both from theoretical and practical points of view. How to share risk of a portfolio among its subportfolios? How to reserve capital in order to hedge existing risk and how to assign this to different business units? We use an axiomatic approach to examine risk capital allocation, that is we call for fundamental properties of the methods. Our starting point is Csóka and Pintér (2011) who show by generalizing Young (1985)'s axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are irreconcilable given that risk is quantified by a coherent measure of risk. In this paper we look at these requirements using analytic and simulations tools. We examine allocation methods used in practice and also ones which are theoretically interesting. Our main result is that the problem raised by Csóka and Pintér (2011) is indeed relevant in practical applications, that is it is not only a theoretical problem. We also believe that through the characterizations of the examined methods our paper can serve as a useful guide for practitioners.

Profit és/vagy közösségi szerepvállalás? Vállalati társadalmi felelősségvállalás vezetői szemmel

A vállalati társadalmi felelősségvállalás (CSR – corporate social responsibility) fogalma és menedzsmenteszköztára nem ismeretlen a hazai gazdasági életben, díjak, konferenciák, felmérések kapcsolódnak hozzá évről évre. A szerző dolgozatában először röviden elemzi a vállalati társadalmi felelősségvállalás elméleti megközelítéseiben a menedzserek szerepét kiemelő irányokat, majd a felelősségvállalás tartalmára vonatkozóan címszavakban bemutat néhány meghatározó elképzelést, amelyek a vizsgálati kérdések alapjait is adják. Ezt követi a kutatási eredmények bemutatása, majd a további kutatási lehetőségeket is tartalmazó konklúzió.

A Markov chain location-allocation meta-model for hurricane relief

An emergency is a deviation from a planned course of events that endangers people, properties, or the environment. It can be described as an unexpected event that causes economic damage, destruction, and human suffering. When a disaster happens, Emergency Managers are expected to have a response plan to most likely disaster scenarios. Unlike earthquakes and terrorist attacks, a hurricane response plan can be activated ahead of time, since a hurricane is predicted at least five days before it makes landfall. This research looked into the logistics aspects of the problem, in an attempt to develop a hurricane relief distribution network model. We addressed the problem of how to efficiently and effectively deliver basic relief goods to victims of a hurricane disaster. Specifically, where to preposition State Staging Areas (SSA), which Points of Distributions (PODs) to activate, and the allocation of commodities to each POD. Previous research has addressed several of these issues, but not with the incorporation of the random behavior of the hurricane's intensity and path. This research presents a stochastic meta-model that deals with the location of SSAs and the allocation of commodities. The novelty of the model is that it treats the strength and path of the hurricane as stochastic processes, and models them as Discrete Markov Chains. The demand is also treated as stochastic parameter because it depends on the stochastic behavior of the hurricane. However, for the meta-model, the demand is an input that is determined using Hazards United States (HAZUS), a software developed by the Federal Emergency Management Agency (FEMA) that estimates losses due to hurricanes and floods. A solution heuristic has been developed based on simulated annealing. Since the meta-model is a multi-objective problem, the heuristic is a multi-objective simulated annealing (MOSA), in which the initial solution and the cooling rate were determined via a Design of Experiments. The experiment showed that the initial temperature (T0) is irrelevant, but temperature reduction (δ) must be very gradual. Assessment of the meta-model indicates that the Markov Chains performed as well or better than forecasts made by the National Hurricane Center (NHC). Tests of the MOSA showed that it provides solutions in an efficient manner. Thus, an illustrative example shows that the meta-model is practical.

Factors that differentiate persistence beyond the first session at a for-profit university

An increasing number of students are selecting for-profit universities to pursue their education (Snyder, Tan & Hoffman, 2006). Despite this trend, little empirical research attention has focused on these institutions, and the literature that exists has been classified as rudimentary in nature (Tierney & Hentschke, 2007). The purpose of this study was to investigate the factors that differentiated students who persisted beyond the first session at a for-profit university. A mixed methods research design consisting of three strands was utilized. Utilizing the College Student Inventory, student’s self-reported perceptions of what their college experience would be like was collected during strand 1. The second strand of the study utilized a survey design focusing on the beliefs that guided participants’ decisions to attend college. Discriminant analysis was utilized to determine what factors differentiated students who persisted from those who did not. A purposeful sample and semi-structured interview guide was used during the third strand. Data from this strand were analyzed thematically. Students’ self-reported dropout proneness, predicted academic difficulty, attitudes toward educators, sense of financial security, verbal confidence, gender and number of hours worked while enrolled in school differentiated students who persisted in their studies from those who dropped out. Several themes emerged from the interview data collected. Participants noted that financial concerns, how they would balance the demands of college with the demands of their lives, and a lack of knowledge about how colleges operate were barriers to persistence faced by students. College staff and faculty support were reported to be the most significant supports reported by those interviewed. Implications for future research studies and practice are included in this study.

Experimental determination of effects of water depth on Nymphaea odorata growth, morphology and biomass allocation

Growth, morphology and biomass allocation in response to water depth was studied in white water lily,Nymphaea odorata Aiton. Plants were grown for 13 months in 30, 60 and 90 cm water in outdoor mesocosms in southern Florida. Water lily plant growth was distinctly seasonal with plants at all water levels producing more and larger leaves and more flowers in the warmer months. Plants in 30 cm water produced more but smaller and shorter-lived leaves than plants at 60 cm and 90 cm water levels. Although plants did not differ significantly in total biomass at harvest, plants in deeper water had significantly greater biomass allocated to leaves and roots, while plants in 30 cm water had significantly greater biomass allocated to rhizomes. Although lamina area and petiole length increased significantly with water level, lamina specific weight did not differ among water levels. Petiole specific weight increased significantly with increasing water level, implying a greater cost to tethering the larger laminae in deeper water. Lamina length and width scaled similarly at different water levels and modeled lamina area (LA) accurately (LAmodeled = 0.98LAmeasured + 3.96, R2 = 0.99). Lamina area was highly correlated with lamina weight (LW = 8.43LA − 66.78, R2 = 0.93), so simple linear measurements can predict water lily lamina area and lamina weight. These relationships were used to calculate monthly lamina surface area in the mesocosms. Plants in 30 cm water had lower total photosynthetic surface area than plants in 60 cm and 90 cm water levels throughout, and in the summer plants in 90 cm water showed a great increase in photosynthetic surface area as compared to plants in shallower water. These results support setting Everglades restoration water depth targets for sloughs at depths ≥45 cm and suggest that in the summer optimal growth for white water lilies occurs at depths ≥75 cm.

Characterizing Poor Performance in For-Profit and Not-for-Profit Food Service Operations

In this article the authors explore the performance-related employee behaviors that are the most troublesome in food service. Four subsegments of food service were surveyed and differences in profit and not-for-profit operations analyzed. Significant differences were found between the two groups, with for-profit operations indicating more severe problems in all but one behavior category.

Placement for Profit: Menu Item Arrangement on Customer-Activated Computer Screens

Can profitable menu items be placed on a computer screen where they will be selected more readily than other items? The author examines whether printed menu theories and techniques can be applied, with the same results, to a computer menu screen

Tip Allocation: A Compliance Study tor Restaurants

Survey research of the commercial food service industry with regard to tips and tip allocation revealed that 50 percent of restaurateurs require that employees report a minimum amount or percentage of sales and over 50 percent which allocate tips report them as employee income. The authors discuss these results and point out other problems.