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.

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.

Sustainability and Corporate Social Responsibility (CSR) are increasingly important subjects in today's society. To measure a company's Corporate Social Performance (CSP); the ESG-rating has been developed throughout the years. As investors and the public are starting to acknowledge a company's sustainable actions and the importance of these, more and more companies choses to be rated using ESG-rating. As the knowledge around the subject has started to increase, we want to find out if it affects the risk of a company or an investment? Theories relating to the topic, such as stakeholder theory, suggests that satisfying all of a company’s stakeholders creates value for a company. Previous studies in the topic has interpreted this as high ESG-ratings should equal lower risks for the company. Additionally, previous studies in the relationship between sustainability and profitability shows a positive correlation between the two, meaning that companies that incorporate sustainability in general have higher profits. The purpose of this study is to investigate if high ESG-ratings could lead to lower firm’s risk in Sweden. There has been a lot of previous research in the area, but none focusing on Sweden. The majority of the previous studies have concluded that there exists a negative relationship between CSP and a firm’s risk, which indicates that if a company would integrate CSR it could lower the risk. This study will include 145 Swedish companies with 2,610 firm-year observations from the period 2001-12-21 to 2019-12-31. The risk measures used are; Total Risk (Volatility), Systematic Risk (Beta) and Idiosyncratic Risk. As for the ESG-ratings, the data is obtained from ASSET4 from the database Thomson Reuters Eikon as the measure of CSP. Furthermore a multiple regression analysis is performed to statistically investigate the relationship between a company's ESG-rate (and the three pillars Environmental, Social and Governance) and risk. The study concluded that there exists a statistically significant positive relationship between Volatility and Idiosyncratic Risk and the ESG-score for Swedish firms. As for the individual pillars; Environmental (ENV), Social (SOC) and Governance (GOV); the result indicated that there existed a statistically significant positive relationship between Volatility and Idiosyncratic Risk with the two pillars; ENV and GOV, respectively. This suggests that the higher ESG-score, ENV and GOV-scores of Swedish firms the higher Volatility and Idiosyncratic Risk. Neither Volatility or Idiosyncratic risk showed a statistically significant relationship with the social pillar. Consequently we are not able to confirm the relationship between Volatility and Idiosyncratic Risk with the Social pillar. Regarding Beta, the study found no statistically significant relationship with the ESG-score, as well as for the individual pillars; Environmental, Social and Governance. Therefore we are not able to confirm a relationship for Beta and the ESG-score, ENV, SOC and GOV-scores. As a final remark this study concluded the opposite as for previous research and consequently this thesis has contributed with new knowledge within the area of ESG-rating and risk for Swedish companies.

Leaders of nonprofits businesses adopt revenue diversification strategies to create innovative program services, creative ways to source materials, utilize volunteers and community partnerships, and identify business solutions related to solving societal problems. To continue providing services, it is crucial for nonprofit leaders to maintain adequate financial resources. The purpose of this single-case study was to explore revenue diversification strategies used by 3 leaders of a nonprofit organization in western California of the United States using Markowitz's modern portfolio theory as the conceptual lens. Data were collected through in-depth semistructured interviews and examination of organizational documents, internal archival data, and online databases. Through thematic analysis, 8 revenue diversification themes emerged: adding income streams; establishing practical financial performance measures; establishing operating reserve; achieving financial health, sustainability, and resilience; building organizational capacity; adopting transparency; achieving efficiency and effectiveness; and conducting active surveys. Additionally, 10 recommendations were identified: developing written procedurals, developing a process improvement strategy, engaging in contingency planning, increasing transparency and governance, using metrics for donor attrition and retention, developing and upgrading technology, increasing staff capacity, creating an employee handbook, conducting active surveys to reinforce additional services, establishing performance measures. These findings may have implications for positive social change, including the potential to contribute to nonprofit leaders' models of effective strategies with processes to grow income sources to support organizational sustainability and support a leader's ability to improve and maintain service offerings, while avoiding dependence on single source of revenue.

Student Number : 9005994G - MSc research report - School of Construction Economics and Management - Faculty of Engineering and the Built Environment / The objectives of this research are to assess the returns, risks and correlation of a mixed-asset portfolio, establish the role of real estate in a mixed-asset portfolio and suggest an appropriate real estate allocation in the South African pension fund industry. The issue of low real estate allocation has been a subject of interest to practitioners and academics, both locally and internationally, despite the diversification benefit that real estate provides in a mixed-asset portfolio. A statistical approach was considered most the appropriate tool for analyzing returns. Solver optimizer in the excel spreadsheet package was used to generate efficient frontiers and the associated values of portfolios. Real estate provided a lower return of 1.25% and a lower standard deviation of 4.90% compared to equities with a return of 1.39% and the highest standard deviation of 6.23%, whilst bonds provided the best risk-return trade off, with a return of 1.42% and the lowest standard deviation of 2.64%. An equally -weighted portfolio consisting of bonds and stocks and a portfolio consisting bonds, stocks and real estate was simulated. The equally -weighted portfolio of bonds and stocks provides a return of 1.41% and a standard deviation of 3.76%. The minimum variance with bias to bonds provides a higher return of 1.42% at a lower level of risk of 2.62%. The equally -weighted portfolio consisting of bonds, stocks and real estate provides a return of 1.35%, with a lower risk of 3.49%. The minimum variance with bias to bonds provides almost the same return of 1.40% at a lower level of risk of 2.54% compared to the bond and share portfolio. The Chi-Square statistical tool was used to test the diversification benefit of real estate. It can be concluded that the standard deviation of the portfolio with property is close enough to the standard deviation without property of 3.76% and cannot statistically say that it is different given the 5% level of significance. The Sharpe ratio was used to test the favourable risk adjusted returns offered by real estate. It concluded that property provides favourable risk adjusted returns and diversification benefits, as illustrated with the increasing portfolio return from 7.44% to 8.66% on Sharpe ratio basis and standard deviation of the portfolio decreasing from 3.76% to 2.54%. The literature review generally supported the view that real estate has a role in a mixed-asset portfolio. Research topics such as securitized versus unsecuritized real estate, real estate allocation and diversification, returns and risk, inflation hedging, modern portfolio theory and the efficient -frontier were analysed and related to the research report. The empirical analysis supports the hypothesis that real estate provides diversification benefits. The property cycle is positive and it is supported by positive property fundamentals like (vacancies are at lowest levels, capitalisation rates are strengthening, the property cycle is turning positive and a stable interest rate environment). The positive property fundamentals will lead to earnings growth. An allocation of between 10% based on the lower end of the minimum variance and 15% based on the lower end of the risk/return ratio is recommended for a mixed-asset portfolio.

In an ever-changing global environment, the ability to adapt to the current economic climate is essential for a company to prosper and survive. Numerous previous re- search state that better risk management and low overall risks will lead to a higher firm value. The purpose of this study is to examine if portfolio theory, made for fi- nancial portfolios, can be used to compose product portfolios in order to minimize risk and optimize returns. The term contingent hedge is defined as an optimal portfolio that can be identified today, that in the future will yield a stable stream of returns at a low level of risk. For companies that might engage in costly hedging activities on the futures market, the benefits of creat- ing a contingent hedge are several. These include creating an optimized portfolio that minimizes risk and avoid trading contracts on futures markets that would incur hefty transaction costs and risks. Using quantitative financial models, product portfolio compositions are generated and compared with the returns and risks profile of individual commodities, as well as the actual product portfolio compositions of publicly traded mining companies. Us- ing Modern Portfolio Theory an efficient frontier is generated, yielding two inde- pendent portfolios, the minimum risk portfolio and the tangency portfolio. The Black-Litterman model is also used to generate yet another portfolio using a Bayesian approach. The portfolios are generated by historic time-series data and compared with the actual future development of commodities; the portfolios are then analyzed and compared. The results indicate that the minimum risk portfolio provides a signif- icantly lower risk than the compositions of all mining companies in the study, as well as the risks of individual commodities. This in turn will lead to several benefits for company management and the firm’s shareholders that are discussed throughout the study. However, as for a return-optimizing portfolio, no significant results can be found. Furthermore, the analysis suggests a series of improvements that could potentially yield an even greater result. The recommendation is that mining companies can use the methods discussed throughout this study as a way to generate a costless contin- gent hedge, rather than engage in hedging activities on futures markets.

Syfte: Studera sju portföljer och notera den bästa typen av portfölj med högst avkastning till lägst risk. Metod: Sekundärdata är grunden för uträkning av samtliga portföljers avkastningar, risker och korrelation. Studien är deduktiv med kvantitativa inslag av kända teorier av nobelpristagare i ekonomisk vetenskap.  Slutsats: Studien visar att stora bolag i olika branscher är ett vinnande portföljinnehåll för denna studie. Stora bolags aktier har visat högre avkastning till lägre risk jämfört med små bolag under studiens tid då ekonomiska kriser drabbade marknaden. Den mest presterande portföljen var därför storbolagsportföljen. Vidare forskning: Längre tidsperspektiv och nya teorier som Jensens alfa samt Treynorkvot är av intresse för vidare forskning för att styrka vår slutsats. / Intention: To study seven portfolios and note the best type of portfolio with the maximum return at a minimum risk. Method: Secondary data is the basis for calculation of the total portfolio returns, risk and correlation. This study is deductive based using a quantitative method of world-known theories of Nobel laureates in economic sciences. Conclusion: The study shows that the best efficient portfolio contains large companies in different lines of business. Large companies' shares have higher returns at lower risk compared to small companies in circumstances to difficult economic situations globally. The best performed portfolio was the portfolio with large companies.                                       Further Research: Longer period of time study and a study of new theories such as Jensens Alfa and Tretnor ratio would be interesting for further research.

Syfte: Syftet med studien är att undersöka hur aktivt förvaltade fonder presterar jämfört med indexfonder, när avkastningen har justerats för förvaltningsavgiften. Indexfonden representeras av ett jämförelseindex och studien omfattar en tioårsperiod, 2000-2009. Det faktum att en apa vann aktie SM 1993, framför professionella placerare, visar att aktiekurser är slumpmässiga. Varför ska en investerare då lita på att en förvaltare är bättre på att utvärdera marknaden och dess placeringsmöjligheter än andra? Metod: En kvantitativ metod har använts i uppsatsen, där data har erhållits från Morningstar och SIX Telekurs. Det insamlade materialet har bearbetats i Microsoft Excel för att beräkna fondernas avkastning och prestationsmått. Resultatet har redovisats i tabeller och diagram i empirikapitlet, för att sedan analyseras och jämföras med den teoretiska referensramen. Resultat & slutsats: Endast en av tio aktivt förvaltade fonder överträffar index, därmed dras slutsatsen att indexfonder är ett bättre investeringsalternativ än aktivt förvaltade fonder. Resultatet visar därmed att den högre förvaltningsavgiften som fondbolagen kräver från sina kunder inte är berättigat. Förslag till fortsatt forskning: Baserat på de resultat som kommit fram i uppsatsen, voredet intressant att genomföra en kvalitativ studie där fondförvaltarens åsikter är i fokus. Hur motiveras den höga förvaltningsavgiften, när de inte överträffar index? / Aim: The fact that a monkey won the Swedish Championship in stocks in 1993, ahead of professional investors, shows that stock prices are random. Why should an investor trust that a professional manager is better on evaluating the market and its investment opportunities than others? The purpose with this thesis is to investigate how active managed funds perform compared to index funds, after subtraction of the management fee. The index fund is represented by a “comparison index” and the research covers a period of ten years, between 2000 and 2009. Method: A quantitative method has been used in this study, where the information has been received from Morningstar and SIX Telekurs. Microsoft Excel has been used to process the collected data in order to calculate the expected return and the risk measures. The result is presented in diagrams and charts in order to analyse and compare it with the theory. Result & Conclusions: Only one out of ten active managed funds outperform index,therefore draws the conclusion that index funds is a better investment option than active managed funds. The result shows that the higher management fee that stock exchange companies claims is not appropriate. Suggestions for future research: Based on the results in this thesis, it would be interesting to do a qualitative research where the focus is on the fund managers’ opinions. How can they motivate the high management fee, when they don’t outperform index?

The combination of two or more portfolio rules is theoretically convex in return-risk space, which provides for a new class of portfolio rules that gives purpose to the Mean-Variance framework out-of-sample. The author investigates the performance loss from estimation risk between the unconstrained Mean-Variance portfolio and the out-of-sample Global Minimum Variance portfolio. A new two-fund rule is developed in a specific class of combined rules, between the equally weighted portfolio and a mean-variance portfolio with the covariance matrix being estimated by linear shrinkage. The study shows that this rule performs well out-of-sample when covariance estimation error and bias are balanced. The rule is performing at least as good as its peer group in this class of combined rules.

>Magister Scientiae - MSc / In this thesis, we discuss methods for optimising the expected rate of return of a portfolio with minimal risk. As part of the work we look at the Modern Portfolio Theory which tries to maximise the portfolio's expected rate of return for a cer- tain amount of risk. We also use Quadratic Programming to optimise portfolios. Generally it is recognised that portfolios with a high expected return, carry higher risk. The Modern Portfolio Theory assists when choosing portfolios with the lowest possible risk. There is a nite number of assets in a portfolio and we therefore want to allocate them in such a way that we're able to optimise the expected rate of return with minimal risk. We also use the Markowian approach to allocate these assets. The Capital Asset Pricing Model is also used, which will help us to reduce our e cient portfolio to a single portfolio. Furthermore we use the Black-Litterman model to try and optimise our portfolio with a view to understanding the current market conditions, as well as considering how the market will perform in the future. An additional tool we'll use is Value at Risk. This enables us to manage the market risk. To this end, we follow the three basic approaches from Jorion [Value at Risk. USA: McGraw-Hills, 2001]. The Value at Risk tool has become essential in calcu- lating a portfolio's risk over the last decade. It works by monitoring algorithms in order to nd the worst possible scenarios within the portfolio. We perform several numerical experiments in MATLAB and Microsoft Excel and these are presented in the thesis with the relevant descriptions.