I denna magisteruppsats undersöks eventuella långsiktiga samband mellan den svenska aktiemarknaden och aktiemarknaderna i Tyskland, Storbritannien, USA och Japan. Detta sker genom en kointegrationsanalys med Engle-Grangers metod. Undersökningen omfattar åren 1992-2010 och resultaten visar inga tecken på att det skulle existera några långsiktiga samband mellan den svenska aktiemarknaden och någon av de utländska aktiemarknaderna. Resultaten ger därmed indikationer om att den svenska aktiemarknaden tillsammans med de utländska aktiemarknaderna i undersökningen är kollektivt effektiva i åtminstone den svaga formen enligt Fama (1970). Då inga långsiktiga samband existerar bör även portföljdiversifiering mellan den svenska aktiemarknaden och de utländska aktiemarknaderna i undersökningen fungera effektivt på lång sikt. / In this master thesis the Engle-Granger method for cointegration analysis is used to examine long-term relationships between stock markets. The analysis is applied on Swedish stock market together with the stock markets in Germany, United Kingdom, United States and Japan. The result shows no significant signs of any form of long-term relationships between the Swedish and the foreign stock markets for the time period 1992 to 2010. The result therefore indicates that the Swedish stock market together with the foreign stock markets in the study is collectively efficient in at least the weak form according to Fama (1970). The result also indicates that portfolio diversification through investing in the Swedish stock market together with any of the foreign stock markets should be effective in the long run.

The purpose of this study is to examine a completely new phenomenon called the MIST, by two portfolios: the Goldman Sachs Next 11 equity fund, and the Goldman Sachs BRIC fund, in order to establish whether or not the MIST countries are a better investment decision in terms of risk, return and growth. Furthermore, the study examines in which form these emerging markets lies in terms of market efficiency, and if the random walk theory is present. The opportunities and challenges for Mexico, Indonesia, South Korea and Turkey are also brought upon to determine whether these countries have the potential to exhibit the same success as the BRIC countries did for a decade. Since the growth of the BRIC countries are slowing down, Jim O’Neill, the same founder of the term BRIC, coined the nations MIST. The BRIC countries are facing several difficulties and have led investors to draw out from these countries stocks. Investors that were pouring in money to the BRIC countries during the period 2001-2009, have from 2011, withdrawn 15 billion dollars from the BRIC stocks. Mexico, Indonesia, South Korea and Turkey. Derived from the next eleven countries, these countries have a major effect on the global economy due to their economical and political circumstances. For many investors, the MIST countries that are growing faster than the BRIC are regarded to be the new biggest emerging markets. Investing in BRIC funds are stated to be a disaster today, while on the other hand, the MIST countries are growing and outpacing the BRIC fund. The methodology used was to compare two different portfolios, Goldman Sachs N-11 equity fund in the period 2011-2013 against the Goldman Sachs BRIC fund in two different periods, 2011-2013 and 2006-2008 with S&P 500 as the market index. In addition, a hypothesis test was carried out for this period to observe whether or not to reject the null hypothesis. The results of this study shows that the null hypothesis was rejected and that the N-11 equity fund is a better investment decision, in terms of risk, return and growth today. These emerging markets are under the weak form market efficiency and the random walk theory is present in the N-11 equity fund. This makes the authors’ results more of a speculation than a definite conclusion about the future, as one cannot "beat the market".

Bakgrund: Småbolagseffekten påvisades först av Banz (1981) och Reinganum (1981) som kom fram tillatt småbolag genererade högre avkastning än stora bolag under samma period. Effekten syntes även stabil över tiden vilket ej är förenligt med Capital Asset Pricing Model (CAPM) och den effektiva marknadshypotesen (EMH). Syfte: Syftet med denna uppsats är att undersöka om det finns någon påvisbar småbolagseffekt påNasdaq OMX Stockholm och huruvida den i så fall har varit konstant under studieperioden. Vidare syftar studien till att undersöka huruvida relativvärdering av småbolagsaktier framgångsrikt kan användas för att generera överavkastning. Metod: Studien baseras på en kvantitativ metodansats med ett deduktivt angreppssätt. Behövd datasamlas in och sammanställs för att sedan användas för att skapa portföljer som studeras och analyseras baserat på prestation. Slutsats: Studien  har  ej  kunnat  påvisa  en  småbolagseffekt  under  hela  studieperioden.  Underhögkonjunktur har dock en småbolagseffekt kunnat påvisas. Vidare har studien kunnat visa att relativvärdering av småbolagsaktier genererar både absolut och riskjusterad överavkastning jämfört med studiens småbolagsportfölj och marknadsindex (AFGX). Så kallade värdebolag, det vill säga bolag med låga värden på P/BV-, P/E- och P/S-talen, är de som genererat högstavkastning. / Background: The small firm-effect was first demonstrated by Banz (1981) and Reinganum (1981) who found that small caps generated higher returns than large companies during the same period. The effect also seemed stable over time, which is not compatible with the Capital Asset Pricing Model (CAPM) and the efficient market hypothesis (EMH). Aim: The purpose of this study is to examine whether there is any evidence of a small firm-effect on Nasdaq OMX Stockholm and whether it in such case has been constant over the study period. Furthermore, the study aims to examine whether relative valuation of small caps can be successfully used to generate excess returns. Methodology: The study is based on a quantitative method with a deductive approach. The required data is collected and compiled and then used to create portfolios which are then studied and analyzed based on their respective performance. Results: The study has not been able to detect a small firm-effect throughout the study period. During the boom, however, a small firm-effect could be detected. Furthermore, this study has shown that relative valuation of small caps generates both absolute and risk adjusted excess returns compared to the market index (AFGX). So called value stocks, companies with low values on the P/BV, P/E and P/S multiples, are the ones that generated the highest returns.

Purpose: The study examines the risk a rising from the acquisition of shares, and its relation to the expected return. We would like to see how a high-risk portfolio is related to a low-risk portfolio. Although studying the portfolios annual performance. Theory: The theories that have been used in the study are, Capital asset pricing model, CAPM and portfolio theory. Method: The study is based on a quantitative method, the time interval is from 2008 to 2010.The annual reports, historical stock prices for companies and the index are used to perform calculations based on the essay theories. Conclusion: The beta value has positive liner correlation with the expected return. When there are bad times in the world, the companies are negatively affected regardless of industry. The Portfolios developed in the same direction during the time period. / Syfte: Studien undersöker riskens förhållande till avkastningen som uppstår vid investering i aktier. Även hur en högriskportfölj förhåller sig till en lågriskportfölj samt portföljernas årliga utveckling. Teori: De teorier som använts i undersökningen är, Capital assets pricing model– CAPM och portföljteori. Metod: Studien utgår från en kvantitativ metod. Tidsintervallet är från år 2008 till 2010. Årsredovisningar, historiska aktiekurser för bolagen samt index används för att kunna genomföra uträkningar som baseras på uppsatsen teorier. Slutsats: Betavärdet har ett positivt linjärt samband med den förväntade kurstillväxt. Vid dåliga tider i världen drabbas alla bolag negativt oavsett bransch. Portföljerna utvecklades i samma riktning under tidsperioden.

This report covers a study testing the possibility of adding portfolio optimization by mean-variance analysis as a tool to extend the concept of momentum strategies in contrast to naive allocation formed by Jegadeesh & Titman (1993). Further these active investment strategies are compared with a passive benchmark as well as a randomly selected portfolio over the entire study-period. The study showed that the naive allocation model outperformed the mean-variance model both economically as well as statistically. No indication where obtained for a lagged return effect when letting a mean-variance model choose weights for a quarterly holding period and the resulting investment recommendation is to follow a naive investment strategy within a momentum framework.

Magistro baigiamajame darbe pristatomas naujas kapitalo paskirstymo akcijų rinkoje modelis. Modelio teoriniam pagrindui naudojama modernioji portfelio teorija ir statistiniai prognozavimo metodai. Modelio praktinis panaudojimas pavaizduojamas Europos rinkų pavyzdžiu – peržiūrimi Nasdaq OMX internetiniame portale esantys 647 Europos akcijų pelningumo duomenys. Iš šių akcijų išrenkamos 7-ios, kurių pelningumas per paskutinius septynis metus buvo didžiausias. Atrinktos pelningiausių Europos firmų akcijos yra magistro baigiamojo darbo objektas. Darbo tikslas – išanalizavus ARIMA ir moderniosios portfelio teorijos kapitalo paskirstymo modelius suformuoti optimalų investicijų portfelį iš pelningiausių Europos akcijų, bei patikrinti hipotezę, kad taikant matematinius prognozavimo ir kapitalo paskirstymo modelius galima suformuoti portfelį, kurio pelningumo premijos ir rizikos santykis bus geresnis, nei palyginamųjų rinkų indeksų. Atsižvelgiant į darbo tikslą ir suformuotus uždavinius, pirmiausiai išrenkamos pelningiausios Europos akcijos ir trumpai apibūdinama išrinktų firmų veikla. Pristatomas kuriamo modelio teorinis pagrindas: supažindinama su ARIMA modelio koncepcija ir metodika, paaiškinama kapitalo paskirstymo atsižvelgiant į pelningumo ir rizikos santykį logika. Teorinis-loginis modelio formavimas pritaikomas praktiniame lygmenyje DNORD, MIC SDB, MOLS, ALFA, UIE, EKTA B, LEL akcijoms (santrumpų reikšmes galite rasti darbo pradžioje). Suformuoto investicijų portfelio... [toliau žr. visą tekstą] / In this concluding paper of master degree there is a new capital allocation in stock market model invented. The main principles of the modern portfolio theory and statistical forecasting are used as the theoretical basis of the model. The practical significance of the model is presented by using an example from the European markets – there are 647 European stock market shares analyzed. Seven shares that have the highest profitability over the last 7 years are selected as the components of the new portfolio. These shares are considered as the object of the research. The main goal of the research is to analyze ARIMA statistical forecasting and basic models of the modern portfolio theory and form an optimal investment portfolio consisting of the most profitable shares from the European market. The relevance of the research is verified by testing a hypothesis that mathematical models of forecasting and capital allocation can be applied to form a portfolio which would perform better than main indexes of the global markets in respect of the balance between profitability premium and risk. The process of the research is constructed as follows: selecting the most profitable shares from the European market, forming the theoretical background of the new model by introducing ARIMA forecasting and capital allocation principles, forming a new capital allocation and management model by combining ARIMA and H.Markowitz’s principles and practically using the new model for the selected (DNORD... [to full text]

Bakalauro baigiamajame darbe nagrinėjama optimalaus akcijų portfelio sudarymo problema OMXV rinkoje. Teorinėje darbo dalyje analizuojami portfelio sudarymo teoriniai ypatumai, nagrinėjamos fundamentaliosios ir techninės analizių derinimo galimybės, moderniųjų portfelio teorijų taikymo principai. Praktinėje dalyje atliekama fundamentali šalies, atskirų ekonomikos sektorių ir įmonių finansinė veiklos analizė. Siekiant nustatyti atrinktų akcijų kainų kitimo perspektyvas atliekama techninė akcijų kainų grafikų analizė. Techninės ir fundamentaliosios analizių sintezės pagalba taip pat įvertinus akcijų laukiamus pelningumus, riziką ir tarpusavio koreliacijos ryšius nutarta formuoti akcijų portfelį iš 4 įmonių akcijų. Taikant šiuolaikines portfelio teorijas rasti optimaliausi akcijų portfelių variantai trim investuotojų tipam: konservatyviam, nuosaikiam ir agresyviam. Siekiant tikslingai įvertinti taikytus metodus analizuojami portfelio rezultatai po 3 mėnesių laikotarpiu stebėjimo. / Undergraduate thesis provides the results of solving optimal stock portfolio construction problem in OMXV stock market. The theoretical part analysis theoretical portfolio formation internals, considered possibilities of fundamental and technical analysis combination, application of modern portfolio theories principles. The practical part of the thesis made fundamental analysis of country, individual sectors of the economy and financial performance analysis of companies. On purpose to identify perspectives of share prices changes in future made graphs technical analysis. In assistance of technical and fundamental analysis synthesis as well as assessment of the shares expected profitability, risk and internecine correlation agreed to develop a portfolio of 4 stocks. Application of modern portfolio theory found optimal portfolios versions for three different types of investors: conservative, moderate and aggressive. In order to specifically evaluate the used methods analyzed the results of the portfolio after a 3-month observation period.

Die auf Markowitz (1952) zurückgehende Portfoliotheorie ist ohne jeden Zweifel ein bedeutender Themenbereich der modernen finanzwirtschaftlichen Forschung. Zentral beschäftigt sich dieser Bereich mit der Frage, wie ein Anleger sein Vermögen auf unterschiedliche Anlagewerte verteilen soll. Als Ergebnis stellt sich ein optimales Verhältnis aus Rendite und Risiko heraus, wobei das Risiko ausschließlich durch die Varianz der Portfoliorendite erfasst wird. Konkrete Anwendungen dieses Konzeptes erzielen jedoch aufgrund von Schätzfehlern und Stationaritätsannahmen bei der Erwartungsbildung enttäuschende Resultate, speziell im Vergleich zu passiven Anlagestrategien. Die vorliegende Arbeit greift nun beide Aspekte parallel auf. Zum einem werden neben der Varianz auch weitere höhere Momente der Portfoliorenditeverteilung in der optimalen Asset Allokation berücksichtigt, zum anderen werden an Stelle von historischen Renditezeitreihen implizite Informationen aus dem Optionsmarkt für die Erwartungsbildung genutzt. Die Arbeit leistet hierzu methodische, theoretische und empirische Beiträge. Es wird aufgezeigt, wie implizite Informationen in der Asset Allokation mit höheren Momenten zur Anwendung kommen und, im Rahmen von umfangreichen empirischen Studien, dass im Vergleich zur Erwartungsbildung auf Basis historischer Renditezeitreihen implizite Informationen in der Asset Allokation vorzuziehen sind.

The traditional way to analyze stocks and portfolios within the area of finance have been restricted to Sharpe and Markovitz. The Omega function and its properties enlighten the field of finance and differs from the traditional ways when it comes to the volatility of the stocks. The Omega function, the Sharpe performance criteria and mean-variance model by Markovitz will be used. All calculations are done in Matlab and the data sheets are excel tables. The aim of this thesis is to investigate the nordic small cap market by using the Omega function, Sharpe performance criteria and the mean variance model by Markovitz. In order to to see how the purposed methods differs.

La thèse vise à développer un cadre pour mesurer l'alignement des portefeuilles financiers avec les objectifs climatiques, prenant comme point de départ à la fois la théorie traditionnelle du portefeuille moderne et les cadres d'analyse des risques financiers, ainsi que la science du climat. Il s'agit de la première tentative d'élaboration de points de repère scientifiques pour le portefeuille financier. Le cadre utilise comme point de départ le concept de «diversification optimale» basé sur la théorie moderne du portefeuille et l'hypothèse de marché efficace. Selon cette théorie, les stratégies optimales impliquent l'achat du «portefeuille de marché». Il postule que cette stratégie ne peut toutefois pas être alignée sur une stratégie de portefeuille alignée avec un scenario 2 ° C. Une telle stratégie de portefeuille basée sur la science peut toutefois avoir un sens pour les institutions financières qui considèrent des objectifs multiples (financiers et non financiers) ou des institutions financières qui pensent que les marchés évaluent mal les risques financiers associés à la transition vers une économie 2°C. Les stratégies associées à 2°C peuvent surperformer le marché. Sous l'hypothèse que la transition vers une économie bas-carbone présente un facteur de risque, pour lequel la thèse fournit une série de preuves théoriques, les stratégies de portefeuille peuvent chercher à acheter le «marché à 2 ° C» en cherchant et gérant une «diversification optimale». Le modèle étend ainsi la logique de la diversification pour réduire le risque, inhérent à la théorie moderne du portefeuille, de la classe d'actifs au niveau sectoriel et technologique. Après le développement du modèle, le modèle a été testé par une série de compagnies d'assurance, de gestionnaires d'actifs et de gestionnaires de portefeuille. Au total, plus de 250 investisseurs institutionnels ont appliqué le modèle au moment de la publication. En outre, le modèle a été testé sur environ 10000 fonds. De plus, deux banques centrales européennes ont appliqué le modèle en interne dans le cadre d'une analyse de scénario à 2 ° C de leurs entités réglementées (fonds de pension et compagnies d'assurance). Dans le cadre d'un sondage auprès de 25 investisseurs, 88% ont déclaré que le cadre était tout aussi pertinent ou plus pertinent que les évaluations climatiques existantes, et 88% ont indiqué qu'ils étaient susceptibles ou très susceptibles d'utiliser la méthodologie pour aller de l'avant. / The thesis seeks to develop a framework to measure the alignment of financial portfolios with climate goals, taking as point of departure both traditional modern portfolio theory and financial risk analysis frameworks, as well as climate science. It represents the first attempt to develop science-based benchmarks for financial portfolios. The framework uses as the starting point the concept of ‘optimal diversification’ based on the modern portfolio theory and efficient market hypothesis. Under this theory, optimal strategies involve buying the ‘market portfolio’. It posits that a 2°C aligned, science-based portfolio strategy is not aligned with such a strategy. Such a science-based portfolio strategy, in turn, may make sense for financial institutions that consider multiple objectives (e.g. financial and non-financial) or financial institutions that think markets are mispricing financial risks associated with the transition to a low-carbon economy and that associated low-carbon, or 2°C aligned strategies can outperform the market. Under the assumption that the transition to a low-carbon economy presents a risk factor, for which the thesis provides a range of theoretical evidence, portfolio strategies can seek to buy the ‘2°C market’ by managing ‘optimal diversification’ to the 2°C aligned technology set, in addition to managing sector exposures. The model thus extends the logic of diversification to reduce risk, intrinsic to the modern portfolio theory, from asset class to sector and technology level.Following the development of the model, a range of insurance companies, asset managers, and portfolio managers tested the model. In total, over 250 institutional investors have applied the model to date. In addition, the model has been tested on around 10,000 funds. Moreover, two European central banks have applied the model internally as part of 2°C scenario analysis of their regulated entities (pension funds and insurance companies). As part of a feedback survey with 25 investors, 88% said the framework was equally or more relevant than existing climate assessments, and 88% said they were likely or very likely to use the methodology moving forward.