Housing is both a durable good and an investment vehicle, which makes it importantin people’s daily life aswell as for a nation’s economy. This thesis innovatively applies the Sharpe ratio on evaluating the performance of the US residentialhousing market within the time period from 2005:Q1 to 2019:Q3, andinvestigates how this performance would react upon macroeconomic shocks,including sudden changes in GDP growth rate and personal income growthrate, by establishing a vector auto-regression model with the lag order of four.The main results are that: (1)in the long run, direct residential investments are not significantly more profitable than treasury bills but not disappointing compared to the market portfolio of Dow Jones Industrial Average; (2)the performance of residential investments seem to slightly and positively co-move withGDP and personal income growth rate; (3)the long-term impacts that sudden GDP and personal income growths have on the performance seem inconspicuous and tend to mitigate within about three years and (4) limited evidence supports the hypothesis that current housing market performance can help predictfuture GDP growth rate. Based on housing’s two purpose of consumption andinvestment and the empirical results showing that direct investments on residentialproperties have similar risk-adjusted return level to short-term treasurybills, I suggest that financially feasible households purchase their own houseinstead of renting for a long time, and that speculative investors avoid puttingmoney in residential properties unless they have access to inside information. / Bostäder kan betraktas både som en hållbar vara och som ett investeringsinstrument.De är essentiella för människors vardag och har en viktig roll förett lands ekonomi. Denna avhandling använder innovativt Sharpe-förhållandet för att utvärdera hur den amerikanska bostadsmarknaden presterade under perioden2005: kvartal 1 till 2019: kvartal 3. Den försöker även undersöka om denna prestation påverkas av makroekonomiska chocker inklusive plötsligaförändringar i BNP-tillväxttakt och personliga inkomsttillväxthastighet. Detta görs genom att upprätta en vektor autoregression modell med en fördröjningsordningför fyra. De viktigaste resultaten är att: (1) på långsikt är direktabostadsinvesteringar inte betydligt mer lönsamma än statsskuldväxlar dock är det hellre inte en besvikelse jämfört med en marknadsportföljen av Dow JonesIndustrial Average; (2) Prestationen av bostadsinvesteringar verkar vara svagt och samverkar positivit både med BNP och tillväxttakten för personinkomst.(3) De långsiktiga effekterna av plötsliga tillväxter av BNP och personliga inkomster har på utvecklingen verkar vara vaga och tenderar att mildra inomcirka tre år och (4) begränsade bevis stöder hypotesen om att nuvarande bostadsmarknadsresultat kan bidra till att förutsäga framtida BNP-tillväxttakten.Baserat på bostädernas två syften inom konsumtion och investeringar, visar deempiriska resultaten att direkta investeringar i bostadsfastigheter har en liknande riskjusterad avkastningsnivå som kortfristiga statsskuldväxla. Därför föreslår jag att ekonomisk stabila hushåll borde köpa ett eget hus istället för att hyraunder en lång tid, och att spekulativa investerare borde undvika att satsa pengar inom bostadsfastigheter såvida de inte har tillgång till insider-information.

During the past few decades, social responsible investing (SRI) has rapidly grown to become a renowned investment strategy. Because of the contradictory findings on how successful this strategy is in terms of financial return, the aim of this thesis is to compare the performance of sustainable and conventional funds in four different geographical areas during the last three years. With the use of regression analysis, the correlation between the Portfolio Sustainability Score of a fund, which is a Morningstar-provided rating that represents how well a fund incorporates ESG, and its risk-adjusted return is determined. The final results of this analysis varies among the four geographical regions. The correlation between the two variables is positive in USA and Asia ex-Japan, whereas a negative relationship is found in Europe and the Nordic region. However, the obtained findings are not of statistical significance, implying that there is no difference between the risk-adjusted returns of sustainable versus conventional funds. / Under de senaste årtionden har hållbara investeringar ökat och på senare tid även blivit en väletablerad investeringsstrategi. Då tidigare studier inom området uppvisat motstridiga resultat gällande hur effektiv denna strategi är inom värdeskapande, fokuserar denna rapport på att klargöra ifall hållbara alternativt vanliga fonder är fördelaktiga utifrån ett finansiellt perspektiv. Mer specifikt undersöks fyra geografiska områden över en tidsperiod på tre år. Genom regressionsanalys bestäms korrelationen mellan en fonds Portfolio Sustainability Score, ett betyg som erhålls av Morningstar som representerar hur väl den specifika fonden inkorporerar ESG, och dess riskjusterade avkastning. De slutgiltiga resultaten av denna analys varierar i de fyra geografiska områdena. I USA och Asien där Japan exkluderas är korrelationen positiv medan en negativ korrelation råder i Europa och Norden. Dock är resultaten inte av statistisk signifikans vilket indikerar att det inte är någon skillnad i den riskjusterade avkastningen mellan hållbara och vanliga fonder.

"Practical usage of optimal portfolio diversification using maximum entropy principle" by Ostap Chopyk Abstract This thesis enhances the investigation of the principle of maximum entropy, implied in the portfolio diversification problem, when portfolio consists of stocks. Entropy, as a measure of diversity, is used as the objective function in the optimization problem with given side constraints. The principle of maximum entropy, by the nature itself, suggests the solution for two problems; it reduces the estimation error of inputs, as it has a shrinkage interpretation and it leads to more diversified portfolio. Furthermore, improvement to the portfolio optimization is made by using design-free estimation of variance-covariance matrices of stock returns. Design-free estimation is proven to provide superior estimate of large variance-covariance matrices and for data with heavy-tailed densities. To asses and compare the performance of the portfolios, their out-of-sample Sharpe ratios are used. In nominal terms, the out-of- sample Sharpe ratios are almost always lower for the portfolios, created using maximum entropy principle, than for 'classical' Markowitz's efficient portfolio. However, this out-of-sample Sharpe ratios are not statistically different, as it was tested by constructing studentized time-series...

Based on the assumption that returns in Commercial Real Estate are normally distributed, the Sharpe Ratio has been the standard risk-adjusted performance measure for the past several years. Research has questioned whether this assumption can be reasonably made. The Upside Potential Ratio as a risk-adjusted performance measure is an alternative to measure performance on a risk-adjusted basis but its values differ from the Sharpe Ratio's only in the assumption of skewed returns. We will provide reasonable evidence that CRE returns should not be fitted with a normal distribution and present the Gaussian Mixture Model as our choice of distribution to fit skewness. We will then use a GMM distribution to measure performance of CRE domestic markets via UPR. Additional insights will be presented by introducing an alternative risk-adjusted perfomance measure that we will call D-ratio. We will show how the UPR and the D-ratio can provide a tool-box that can be added to any existing investment strategy when identifying markets' past performance and timing of entrance. The intent of this thesis is not to provide a comprehensive framework for CRE investment decisions but to introduce statistical and mathematical tools that can serve any portfolio manager in augmenting any investment strategy already in place.

The cryptocurrency market is continuously growing but is still a relatively unexplored field within academic research. The ambition with this thesis is to increase existing research on market efficiency of cryptocurrencies, by studying the risk exposure of identical investments between different cryptocurrency exchanges. The study includes four cryptocurrencies and nine different exchanges, the data is tested on a full sample period and two subsample periods. The results reveal significant Sharpe ratio differences for identical investments on selected exchanges, but also improved efficiency between the first and second subsample periods. The study concludes that there are significant market inefficiencies on the cryptocurrency market, but the results also suggests that the market is becoming more efficient over time.

<p>This paper is an empirical study on Harry Markowitz work on Modern Portfolio Theory. The model introduced by him assumes the normality of assets’ return. We examined the OMX Large Cap List1 by mathematical and statistical methods for normality of assets’ returns. We studied the effect of the parameters, Skewness and Kurtosis for different time series data. We tried to figure it out which data series is better to construct a portfolio and how these extra parameters can make us better informed in our investments.</p>

<p><strong>Purpose:</strong> The main purpose of this study is to study the 45 funds, divided into three differentdivisions, then the result will provide a greater understanding of how returns change with ahigher risk.</p><p><strong>Methodology:</strong> The study is based on a quantitative approach. The survey was conducted bygathering raw data from databases and secondary data from literature, printed and electronicsources.</p><p><strong>Theoretical perspectives:</strong> The study is based on the theory: the efficient markethypothesis, which argues that future returns can not be calculated as the market is fullyinformed. The study is therefore studying historical yields.</p><p><strong>Empirical foundation:</strong> Empirical data are acquired from www.morningstar.se, andtherefore also treated on this page. The material is then divided into documents and time axes.</p><p><strong>Conclusions:</strong> The study has shown that high-risk funds give a higher percentage returns thanmedium-and low-risk funds. However, does not imply a higher risk automatically earn ahigher return when the low-risk funds have shown a higher yield than medium-risk funds. Animportant factor to study when you are looking for the fund which generated the highest ROIis the Sharpe ratio. Although this study demonstrates that high-risk funds have a higherSharpe ratio than competing risk groups.</p>

<p>In this thesis, portfolio optimisation is used to evaluate if a specific sample of portfolios have</p><p>a higher risk level or lower expected return, compared to what may be obtained through</p><p>optimisation. It also compares the return of optimised portfolios with the return of the original</p><p>portfolios. The risk analysis software Aegis Portfolio Manager developed by Barra is used for</p><p>the optimisations. With the expected return and risk level used in this thesis, all portfolios can</p><p>obtain a higher expected return and a lower risk. Over a six-month period, the optimised</p><p>portfolios do not consistently outperform the original portfolios and therefore it seems as</p><p>though the optimisation do not improve the return of the portfolios. This might be due to the</p><p>uncertainty of the expected returns used in this thesis.</p>

<p>This paper discusses the indicators of financial success for Swedish companies from 1995 until 2005. Quarterly data on 42 Swedish companies were collected from the Datastream data base and analysed by using both portfolio analyses and parametric analysis. In this study, financial success is measured by using the acclaimed concepts of the Sharpe ratio and the Jensen’s Alpha. The Sharpe ratios of the companies are studied between 1995-2005 and this discussion is complemented by analysis of the Jensen’s Alpha in the second half of that time period i.e. 2000-2005. The relationship between these performance metrics and certain company-characteristics such as the book-to-market ratio, the ROA measure and capital structure is studied. The conclusion is that companies that have a high degree of profitability and maintain high book-to-market ratios outperform other companies in terms of generating excess returns to shareholders. Another interesting observation is the fact that company size does not have any significant relationship to company performance.</p>

This paper is an empirical study on Harry Markowitz work on Modern Portfolio Theory. The model introduced by him assumes the normality of assets’ return. We examined the OMX Large Cap List1 by mathematical and statistical methods for normality of assets’ returns. We studied the effect of the parameters, Skewness and Kurtosis for different time series data. We tried to figure it out which data series is better to construct a portfolio and how these extra parameters can make us better informed in our investments.