Dissertations / Theses on the topic 'Risk and returns and the Sharpe ratio'
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Mårtensson, Jonathan. "Portfolio optimisation : improved risk-adjusted return?" Thesis, Uppsala University, Department of Economics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6397.
Full textIn this thesis, portfolio optimisation is used to evaluate if a specific sample of portfolios have
a higher risk level or lower expected return, compared to what may be obtained through
optimisation. It also compares the return of optimised portfolios with the return of the original
portfolios. The risk analysis software Aegis Portfolio Manager developed by Barra is used for
the optimisations. With the expected return and risk level used in this thesis, all portfolios can
obtain a higher expected return and a lower risk. Over a six-month period, the optimised
portfolios do not consistently outperform the original portfolios and therefore it seems as
though the optimisation do not improve the return of the portfolios. This might be due to the
uncertainty of the expected returns used in this thesis.
Hagberg, Johanna, and Jonas Magnusson. "Risk i fastighetsbolag : - en kvantitativ studie av kommunala och privata fastighetsbolag." Thesis, Högskolan Kristianstad, Sektionen för hälsa och samhälle, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:hkr:diva-11017.
Full textCompared to other industries, real estate markets have historically low return on total assets, instead they use a leverage strategy to create a more efficient ratio on return on equity. There are many risk variables associated with real estate and several ways for real estate firms to differentiate themselves from the unsystematic risk. The municipal property firms have a funding source Kommuninvest, only turning to public utilities and not private actors. The purpose of this paper is to analyze the historical risk and return generated by municipal and private property firms. The method is quantitative, combined with a deductive theory, which has an explanatory approach. Based on theory we have formulated three hypotheses to explore and see if we can find indicators of how differences between municipal and private property is. To conduct the survey, the thesis has a quantitative method and statistical tests to analyze the outcomes. The results indicate that there is a significant difference in two of the hypotheses between municipal and private property. How the survey is conducted is described in the empirical method. From the results determined, the intention shows that there is more to explore, and new suggestions for further research have been suggested.
Nilsson, Sara, and Jennifer Ramare. "What does it cost to invest with preferences? : What does investors lose/gain on investing in sin-stocks versus SRI investing?" Thesis, Högskolan Väst, Avd för juridik, ekonomi, statistik och politik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:hv:diva-17337.
Full textFredriksen, Petter, and Madeleine Lundberg. "Riskjusterad avkastning i nynoteringar på Aktietorget : En jämförelse av Sharpe- och Sortinokvoten." Thesis, Linköpings universitet, Företagsekonomi, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-139206.
Full textBackground: In recent years, a strong underpricing trend has been observed in the increasing number of IPOs, which has created a strong investor interest. A large part of these IPO companies are small firms, most of which are listed on smaller trading venues, known as MTFs. The MTF Aktietorget introduced most companies to the Swedish stock market during 2010-2014, so it has been chosen as the area for this research.Previous studies have shown that there is high volatility in new introductions and small companies, which in financial terms means that such an investment contains more risk. However, similar studies on downside risk are lacking. This study therefore aims to compare the traditional risk-adjusted return in the form of the sharpe ratio, against the return adjusted for downside risk, the so-called sortino ratio. This newer measure of risk is part of the postmodern portfolio theory, which takes into account a more loss-aversive investor. Purpose: The purpose of this paper is to analyze the risk-adjusted return in IPOs on Aktietorget and compare it with the return of established companies on OMX Stockholm. The risk-adjusted return is calculated by the sharpe and sortino ratios, respectively, and are later compared with each other to investigate possible differences in the estimation of performance for the stocks. Methodology: This paper is an event study with a deductive approach. The study has included IPOs on Aktietorget between 2010-2014 and comparative stocks, consisted of industry index from OMXSPI.The risk-adjusted return has been calculated using modified ratios and the relationship between the sharp and sortino ratios has been investigated by non-parametric ranking correlations. Conclusion: The study can't prove any significant abnormal return in IPOs on Aktietorget, but observes an average excess return of up to one month. The risk-adjusted ratios have very strong rank correlation, thus empirical results can't motivate the continued use of the sortino ratio.
Koriy, Gabriel, and Johanna Jansson. "Samband mellan svenska aktiefonders avkastning och avgift med hänsyn till risk." Thesis, Södertörns högskola, Institutionen för samhällsvetenskaper, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-45737.
Full textVärnlund, Frida, and Max Bacco. "A Study on the Relationship Between a Mutual Fund’s Risk-Adjusted Return and Sustainability : Do Mutual Funds with High Sustainability Scores Outperform Those with Low Ones?" Thesis, KTH, Matematisk statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-252743.
Full textUnder 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.
Börjesson, Oscar, and Sebastian Rezwanul HaQ. "Do hedge funds yield greater risk-adjusted rate of returns than mutual funds?A quantitative study comparing hedge funds to mutual funds and hedge fund strategies." Thesis, KTH, Matematisk statistik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-146730.
Full textHedgefonder har den senaste tiden ökat i popularitet. Samtidigt finns det delade meningar huruvida hedgefonder genererar absolutavkastning och om de fungerar som bra alternativ till traditionella fonder. Denna uppsats syftar till att undersöka huruvida hedgefonder skapar absolutavkastning samt om det finns investeringsstrategier som presterar bättre än andra. Denna uppsats jämför hedgefonders riskjusterade avkastning med traditionella fonder, för att på sätt se om en viss investeringsstrategi ar mer lukrativ i termer av överavkastning i förhållande till motsvarande index. Vi har använt ekonometriska metoder för att söka efter statistiskt signifikanta skillnader mellan avkastningen för hedgefonder och traditionella fonder. Våra resultat visar att svenska hedgefonder inte genererar högre risk-justerade avkastningar än svenska aktiefonder. Våra resultat visar inga signifikanta skillnader vad gäller avkastning mellan olika strategier. Slutligen finner vi heller inga bevis för att hedgefonder går emot den effektiva marknadshypotesen
elf, andreas, and Riffo Eduardo Gonzalez. "Risk-adjusted return performance on a screened index : An empirical investigation of a Shariah screened index and a non-screened index." Thesis, Internationella Handelshögskolan, Högskolan i Jönköping, IHH, Nationalekonomi, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-20110.
Full textOrhan, Banu, and Siyar Bastas. "Kina- och Rysslandsfonder : En jämförande studie i nedgång och uppgång av den svenska börsen." Thesis, Södertörn University College, School of Business Studies, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-3534.
Full textPurpose: Aims of this paper is to evaluate a comparative study between China and Russia funds in respect of the risks and returns. We also want to examine what has affected the funds in their respective domestic stock market.
Method: The study is based on qualitative methodology to complement the quantitative survey by first gathering of secondary data from Morningstar, and fund manager´s stories on fund and banking companies' websites. Primary data is conducted by the interview with fund manager. The sample consists of all land funds for China and Russia has found more than 10 years on the stock market.
Results and Conclusion: The survey shows that China funds will generate better in decline than Russia Funds in both return and risk-adjusted Sharpe ratio. Because the China funds had better risk diversification and its holdings spread across different industry area while Russia funds is more directed towards oil and gas industry. The upturn managed Russia Funds better to recovery than China Funds in terms of return and risk-adjusted Sharpe ratio, which was due to China funds were cautiously optimistic, with the government's stimulus package, while Russia Funds earned at the price of oil in the world increased and a greater willingness to take risks of the global financial system. During the 10 years period, Russia funds better growth compared to China Funds in the total seen by far. For Russia have large oil resources and raw materials including exporting to the fast growing Asian. In China, due to good growth in the consumption good and growing middle class in the country, but also increased projects in financial and infrastructure.
Moutáfov, Ernesto, and Legrand Giovanni Perez. "Hög avkastning till låg risk : En jämförande studie mellan aktieportföljers innehåll och prestation." Thesis, Södertörns högskola, Institutionen för ekonomi och företagande, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-16863.
Full textIntention: 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.
Adlersson, Patrik, and Patrik Blomdahl. "Hedge Fund Style Allocation : A Risk Adjusted Fund of Hedge Fund Perspective." Thesis, Linköping University, Department of Production Economics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2758.
Full textThe purpose of the thesis has been to explore the use of hedge fund styles when constructing portfolios of hedge funds (i.e. funds of hedge funds). The central question is if the use of hedge fund styles can significantly explain and improve risk adjusted returns (characterized by Sharpe ratios). The study has been done in collaboration with Optimized Portfolio Management AB who desire further knowledge and evaluation of hedge fund styles for their fund of hedge funds.
To be able to create successful ex ante portfolios we have explored various prediction models for both risk and return. Our findings indicate that return prediction is problematic using simple models such as regression since the risk exposure of the indices appear to change significantly over time. One can however using exponentially weighted moving averages (EWMA) achieve relatively promising estimations of future returns.
Covariance matrix estimation seems to be more straightforward. We have achieved promising results using both traditional EWMA models as well as improved estimators using principal component analysis.Covariance prediction models were evaluated separately using a minimum-variance portfolio optimization technique and provided a significant risk reduction compared to the aggregated hedge fund universe (represented by a naively diversified portfolio). Combinations of risk and return prediction models were evaluated using traditional mean-variance portfolio construction methods, which were optimized for Sharpe ratios. These provided a significant increase in risk adjusted returns relative to the aggregated hedge fund universe. The allocation is however discouraging due to serious instability over time.
Our findings indicate that there indeed is an advantage of taking hedge fund styles into consideration when constructing funds of hedge funds in a risk adjusted perspective. However, further research into return prediction needs to be done in order to stabilize portfolio allocation. An alternative seems to be tactical style allocation on a more fundamental analysis basis.
Ljungberg, Axel, and Anton Högstedt. "Modern Portfolio Theory Combined With Magic Formula : A study on how Modern Portfolio Theory can improve an established investment strategy." Thesis, Linnéuniversitetet, Institutionen för ekonomistyrning och logistik (ELO), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-104540.
Full textEricsson, Anton, and Anton Erickson. "Does the Active Country Momentum Portfolio Beat the Passive Market Portfolio? : an empirical study on exchange-traded funds." Thesis, Örebro universitet, Handelshögskolan vid Örebro Universitet, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-89230.
Full textHammarlund, Marcus, and Carl Stenkvist. "ESG påverkan på noterade svenska bolags aktievärde : En kvantitativ studie under 2019 och ett turbulent 2020." Thesis, Linköpings universitet, Institutionen för ekonomisk och industriell utveckling, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-177644.
Full textBackground: The stock market has never had a lower entry threshold where internet-based investment platforms have increased accessibility for both private and institutional investors. The high activity in the stock market, in conjunction with various financial crises in recent decades, have resulted in higher volatility in the market. This volatility reached new heights in 2020, which was accompanied by a stock market crash as a result of the Covid-19 pandemic, followed by a strong recovery with the help of global capital injections. 2020 is in many ways a unique year, with no exception for the stock market, while at the same time, sustainability issues have been given a high priority in recent years. Investigating ESG and its impact on Swedish companies' stock returns is therefore of further interest. Purpose: The purpose of this study is to analyze how ESG ratings affect listed Swedish companies' share value and whether this has changed as a result of a turbulent year 2020 in relation to 2019. The authors also intend to investigate whether a relatively higher ESG rating is compatible with higher risk-adjusted return and whether share-related performance in terms of industry distribution is prominent. Methodology: To fulfill the purpose of the study, a quantitative method with a deductive approach has been applied. The implementation of the study consists of an analysis of the share price development for Swedish companies with an assigned ESG rating during the years of 2019 and 2020. For these companies, portfolios with high and low ESG ratings have been constructed, while also regarding industry affiliation. A comparison of return, risk and risk-adjusted return was then performed. Results: The result finds no significant correlation between ESG rating and stock return for 2019 but a significantly weak negative correlation for 2020. Comparatively between the portfolios, the companies with high ESG ratings were found to generate a marginally higher stock return and risk-adjusted return in 2019. In 2020, companies with low ESG rating generated a significantly higher return and risk-adjusted return than companies with high ratings. The discrepancy in stock returns was large in favor of the low ESG ratings, apart from the Raw material (Energy) industry, which had an opposite relationship.
Hukka, Sonja, and Samri Said. "Hållbara trender - presterande fonder? : En kvantitativ studie om hur ESG påverkar Sverigefonders prestation." Thesis, Södertörns högskola, Företagsekonomi, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-45770.
Full textHållbarhet har blivit en stor samhällstrend och intresset för hållbara investeringar har ökat bland investerare. Syftet med denna studie är att undersöka hur hållbarhet påverkar Sverigefonders avkastning och risk. Eftersom forskning kring hållbarhetens påverkan på fonder fokuserar mestadels på investeringar utanför Sverige har denna studie avgränsat sig till Sverigefonder för att fylla luckan i forskningen. Studien analyserar 67 Sverigefonder under 2015-2019 med hjälp av olika modeller såsom CAPM, Fama-French trefaktormodell och Sharpekvot. Vidare mäts fondernas hållbarhet med hjälp av Morningstar hållbarhetsbetyg. Resultat visar inga tecken på linjär regression mellan hållbarhet och resultat från olika modeller samt studiens resultat är inte statistiskt signifikanta. Därmed är studiens slutsats att det inte är hållbarhet som påverkar på risk och avkastning bland Sverigefonderna utan det kan vara andra faktorer som inte tagits hänsyn till i denna studie. Däremot visar tidigare forskning att hållbara fonder presterar bättre och är mer stabila under kristider. Denna studie har inte undersökt Sverigefonderna under kristider men detta kan vara ett intressant ämne för framtida forskning.
Almeida, Joana Raquel Neves. "Performance of target prices." Master's thesis, Instituto Superior de Economia e Gestão, 2019. http://hdl.handle.net/10400.5/19636.
Full textAs avaliações de ações são conduzidas por profissionais que aconselham os investidores sobre ações. Os Target prices consideram não apenas os fatores de procura e oferta de mercado, mas também as opiniões de cada analista. Neste estudo, analisamos o desempenho dos Target prices, usando duas abordagens diferentes. Primeiro, estudamos o poder preditivo dos Target prices a 12 meses comparando-as a uma regra de capitalização simples com base nos retornos passados. Segundo, analisamos o desempenho de uma carteira activa construída tendo por base os price-targets e comparamos com a carteira homogénea, bem como o índice de mercado e a carteira tangente de variância média. Concluímos que os price-targets não têm poder preditivo nos preços futuros do mercado a 12 meses. A esse respeito, mostramos que as regras simples de capitalização são igualmente (más). Em termos de desempenho da carteira, descobrimos que a carteira activa construíra com base nas recomendações dos analistas não supera os outros portfólios. Os nossos resultados são robustos a esquemas alternativos de rebalanceamento de carteiras. A nossa análise é baseada em 50 ações europeias durante um período de 15 anos, de 2004 a 2019.
Equity researches are conducted by professionals who advise investors about stocks. Target prices consider not only market demand and supply factors, but also the opinions of each analyst. In this study, we analyze the performance of target prices, using two different approaches. First, we study the predictive power of 12-month price targets comparing it to a simple capitalization rule based upon past returns. Second, we analyze the performance of an active portfolio based upon analysts' price targets and compare it to the naïve homogeneous portfolio, as well as to a market index and the mean-variance tangent portfolio. We find price targets have no predictive power on future 12-month market prices. In that respect, we show the simple capitalization rules do equally (bad). In terms of portfolio performance, we find the active managed portfolio based upon analysts' recommendations does not outperform the other portfolios. Our results are robust to alternative rebalancing schemes. Our analysis is based upon 50 European stocks over a 15-year period, from 2004 to 2019.
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Ali, Perwez, and Jakob Håkansson. "Får du vad du betalar för? : Sambandet mellan tillväxtmarknadsfondernas avgifter och dess riskjusterade avkastning." Thesis, Linköpings universitet, Företagsekonomi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-167042.
Full textBackground: Today most of the swedes saves in mutual funds. The past few years we have seen an increase in the supply of mutual funds. Funds allocated to Emerging Markets and Frontier Markets has gotten more attention as well. These markets have a lower grade of transparency and has a lack of financial information compared to more developed markets. Studies has shown that they are also less efficient than the developed. Mutual funds in Emerging Markets tends to charge higher fees for their management. These factors make it interesting to analyze how the trustees of the mutual funds succeed in their investments related to the Total Expense Ratio that they charge. Purpose: The purpose of this study is to analyze the relationship between mutual funds’ Total Expense Ratio and their risk adjusted return for funds allocated to Emerging Markets and Frontier Markets. Methodology: The authors have used a deductive approach and a quantitative methodology to fulfill the aim of this study. We have gathered data by observing 50 mutual funds and retrieved the data from Thomson Reuters. We have then analyzed the data by calculating key ratios and by regression analysis. Conclusion: The results of this study show that there is a negative relationship between mutual funds’ total expense ratio and their risk adjusted return. We note that mutual funds with higher expense ratios tends to result in lower risk adjusted return.
Bergensand, Erica, and Niklas Svahn. "En jämförelsestudie av AP-fonderna och bankernas Sverigefonder 2003-2010." Thesis, Södertörns högskola, Institutionen för ekonomi och företagande, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-16972.
Full textLorentz, Pär. "A Modified Sharpe Ratio Based Portfolio Optimization." Thesis, KTH, Matematisk statistik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-103275.
Full textYousef, Ornina, and Legrand Gianina Perez. "Vilken fond ger hög riskjusterad avkastning? : En empirisk studie mellan Svenska och Globala aktiefonder." Thesis, Södertörns högskola, Institutionen för samhällsvetenskaper, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-18913.
Full textBernardin, Arthur, and Camille Dumoussaud. "A case study on the risk-adjusted- financial performance of The Vice Fund : The risk-adjusted-financial performance of this fund will be evaluate through a comparison with an other mutual fund having a different investment strategy and with two benchmarks." Thesis, Umeå universitet, Företagsekonomi, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-73444.
Full textShort, Wesley James, and Jan Oskar Lind. "NOT THE SHARPEST TOOL IN THE BOX : A quantitative study of the reliability of the Sharpe ratio in a Bear market." Thesis, Umeå universitet, Handelshögskolan vid Umeå universitet, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-38537.
Full textBlume, Lina, and Melinda Svensson. "E, S eller G : Vilket kriterium har störst betydelse förriskjusterad avkastning?" Thesis, Linköpings universitet, Institutionen för ekonomisk och industriell utveckling, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-177674.
Full textBackground: Historically, many factors have played a role for investors when making decisions about an investment, especially significant have been the factors regarding financial performance and financial forecasts. In recent years, a number of new factors have become important, such as ESG factors. Those have become some of the most important aspects, both for investors and other stakeholders. ESG stands for Environmental, Social and Governance and is a measure of the sustainability of an investment. Although ESG often is discussed as an overall rating, it is less common to discuss each criterion separately. In this study, E, S and G have been separated to investigate whether sustainability focus in one specific area is more favorable than another to achieve the highest risk-adjusted return. Purpose: The purpose of this study is to investigate which criterion of E, S and G that generates the highest risk-adjusted return on OMXSPI. Methodology: The study has a deductive research approach and is based on a quantitative research method. All data were obtained from Refinitiv Eikon and statistical methods with regression analysis were created to investigate the relationship of the variables. The variable used to measure risk-adjusted return is the sharpe ratio. Conclusion: The results of this study show that there is a statistically significant positive relationship between the grade for S year 2018 and risk-adjusted return. The remaining years and criteria have both positive and negative relationships, but none of these are significant.
Mweli, Peter Vusi. "Empirical evaluation of South African share analysts’ performance." Diss., University of Pretoria, 2010. http://hdl.handle.net/2263/25261.
Full textDissertation (MBA)--University of Pretoria, 2011.
Gordon Institute of Business Science (GIBS)
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Mejia-Perez, Juan Carlos. "No 'good deal' valuation bounds and their relation to coherent risk measures." Thesis, University of Warwick, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342510.
Full textLundquist, Niclas, and Fredrik Carlson. "Hyresbostadsfonder - ett placeringsalternativ för välbärgade?" Thesis, Uppsala University, Department of Business Studies, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-111214.
Full textHyresbostadsfonder är en ny placeringsform i Sverige som erbjuder privatpersoner, företag och institutioner att äga hyresfastigheter och erhålla avkastning från förvaltningsöverskott och värdeökning. I denna studie jämförs aktie- och obligationsfonder med en simulerad hyresbostadsfond ur ett risk kontra avkastningsperspektiv. Fonden baseras på data över den svenska fastighetsmarknaden från Svenskt Fastighetsindex och Investment Property Database, därför att placeringsformen är ny och det råder brist på historisk data från verkliga aktörer.
Målet med studien är att besvara om hyresbostadsfonder är ett konkurrenskraftigt alternativ till aktie- och obligationsfonder. Utöver finansiella jämförelser redogör författarna eventuella dolda risker och nackdelar med placeringsformen.
Resultatet från studien visar att hyresbostadsfonden har presterat bättre än både aktie- och obligationsfonderna under perioden 1988-2008. Bidragande faktorer till denna utveckling har identifierats och redovisats. Placeringsformen kräver stor mängd kapital som binds upp under sex år och alla kan av den anledningen inte investera.
Sundberg, Jonathan, and Fredrik Wallentin. "Är Sharpekvoten skarp nog? : En studie om Sharpekvoten är tillräcklig för att bedöma avkastning i förhållande till risktagande vid aktieinvesteringar." Thesis, Södertörns högskola, Institutionen för samhällsvetenskaper, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-27963.
Full textSantos, Claudinei de Paula. "Análise de medidas de desempenho de ativos de risco: um estudo dos índices de potencial de investimento, Sharpe e Sharpe generalizado." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-03112008-181857/.
Full textThis master dissertation studies and compares the characteristics of Sharpe ratio and its variants, SRc and SRd, generalized Sharpe ratio (GSR) and investment potential (IP), both GSR and IP associated to any utility function. By the fact that GSR and IP are identical indexes, empiric tests were conducted between SRc and GSR. The indexes were evaluated theoretically under two different aspects: retrospective analysis, i.e., analyze the observed monthly log-returns, and prospective analysis, i.e., series to occur. Under prospective view, ex ante facto, SRc (Sharpe ratio with normal state variable) and SRd (Sharpe ratio with lognormal state variable), for being associated to the quadratic utility function, show the inherent problems to utility functions such as the bliss point and the pump money economic agent. The same happens in a retrospective view, ex post facto, with the GSR (performance potential with HARA utility function family) when the risk aversion coefficient equals minus one, gama=-1. Therefore, the GSR can be associated to different utility functions avoiding the undesirable effects. Under the GBM (geometric Brownian motion) condition and HARA utility function for the Brazilian and American adjusted monthly stock prices and indexes monthly points during January 2000 and March 2008, we reached the following: (1) results indicate that GSR for quadratic utility has high correlation level with SRc; (2) while the logarithmic utility showed lowest correlation level between GSR and SRc; (3) exponential utilities showed a high level of correlation between GSR and SRc. The results showed that GSR with exponential utility kept the biggest behavior difference for the GSR with quadratic utility. Based on the knowing problems of the quadratic utility, GSR with gama=1 seems to be a better index choice for risk assets classification.
Gaqa, Nandipa. "The Development Role Played by Targeted Development Investments in South Africa and Their Risk-Adjusted Performance Over a 10-Year Period." Master's thesis, Faculty of Commerce, 2021. http://hdl.handle.net/11427/32687.
Full textZetterquist, Jakob, Carl-Olof Holfve, and Mattias Lindeborg. "Riskhantering : Hur applicerar svenska fondbolag teoretiska riskhanteringsmodeller i praktiken?" Thesis, Örebro universitet, Handelshögskolan vid Örebro Universitet, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-29509.
Full textBlatt, Sharon L. "An in-depth look at the information ratio." Link to electronic thesis, 2004. http://www.wpi.edu/Pubs/ETD/Available/etd-0824104-155216/.
Full textLiljeström, Oskar. "Efficiency of cryptocurrency exchanges : Risk exposure analysis of identical assets." Thesis, Högskolan Kristianstad, Fakulteten för ekonomi, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:hkr:diva-20048.
Full textBjärnbo, Oliver, and Amir Kheirollah. "A Quantitative Risk Optimization of Markowitz Model : An Empirical Investigation on Swedish Large Cap List." Thesis, Mälardalen University, Department of Mathematics and Physics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-333.
Full textThis 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.
Schlögl, Hubertus Tassilo. "Macroeconomic indicators and systematic risk - is there a difference between emerging and developed markets?" reponame:Repositório Institucional do FGV, 2018. http://hdl.handle.net/10438/20145.
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This explorative study is about the influencing effects of US macroeconomic announcements on changes in systematic risk with the focus on the difference between emerging and developed markets. Seven different US macroeconomic indicators have been examined and used to estimate betas as a proxy for the systematic risk around the announcement dates. In the period from 1996 until 2017, betas have been estimated over a three-month pre- and post window, resulting in 27 announcements per US macroeconomic indicator. The study also tries to provide insights of the consequences for portfolio managers, based on patterns of changes in betas and their relationship with changes in Sharpe ratios. The study results reveal that betas change consistently over the sample period, however, to a small magnitude. Also, the changes in mean Sharpe ratios around these announcement dates have not been found as statistical significant. However, the study results indicate that there is a positive relationship between changes in Sharpe ratios and changes in betas for developed countries as the Pearson correlation coefficient illustrates.
O seguinte estudo analisa a influência das publicações de dados macroeconómicos nas variações do risco sistemático, salientando os diferentes efeitos sobre os mercados emergentes e os países desenvolvidos. Foram examinados sete diferentes indicadores macroeconómicos dos EUA, sendo estes utilizados para determinar uma estimativa dos valores do risco sistémico perto das datas das publicações macroeconómicos dos EUA. No período entre 1996 e 2017, os betas foram estimados sobre um intervalo de tempo de três meses antes e depois de cada publicação, resultando em 27 publicações por cada indicador do EUA. Nesta análise também se tenta explicar as consequências destes efeitos para os gestores de carteiras, baseando-se em padrões de variações dos betas e a sua relação com as variações dos Sharpe Ratios. Os resultados desta análise evidenciam que os betas variam consistentemente ao longo do período da amostra, ainda que numa baixa magnitude. Além disso, as variações no valor médio dos Sharpe Ratios nas datas próximas aos relativos anúncios económicos não são estatisticamente significativas. Contudo, os resultados desta análise indicam que existe uma relação positiva entre variações dos Sharpe Ratios e variações nos betas dos países desenvolvidos, como o coeficiente de correlação de Pearson demonstra.
Kůna, Jakub. "Srovnání výkonnosti v ČR nabízených fondů a ETF z pohledu korunového investora." Master's thesis, Vysoká škola ekonomická v Praze, 2012. http://www.nusl.cz/ntk/nusl-124875.
Full textForss, Gabriel. "What Characterises Successful Stocks? : A case study of Swedish companies between 1995 and 2005." Thesis, Uppsala University, Department of Economics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7043.
Full textThis 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.
Blomkvist, Oscar. "Smart Beta - index weighting." Thesis, KTH, Matematisk statistik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-168745.
Full textDenna studie är ett examensarbete som avslutar ett 120 poängs mastersprogram i Matematik med inriktning mot Finansiell Matematik och Matematisk Statistik på Kungliga Tekniska Högskolan (KTH). Ämnet Smart beta studeras i kontexten av en indexfond, där de olika testade principerna för viktning i portföljerna är: likaviktad, maximerad Sharpe-kvot, maximerad diversifiering, och fundamental viktning användandes av P/E-tal. Utfallet i testerna utvärderas i ackumulerad avkastning, portföljrisk, kostnad att handla i portföljen, och ett antal mått på fördelningen av tillgångarna. Studien går stegvis igenom processen för att samla in, ordna, och ”tvätta” data. En kort förklaring av historisk simulering, metoden för att estimera stokastiska variabler såsom kovariansmatriser, är inkluderad, såväl som en analys av distributionen av data. Processen för att optimera portföljerna och hur regler för att vara en UCITS-fond kan omformas till optimeringsvillkor beskrivs. Resultaten indikerar att alla utom den mest diversifierade portföljen har högre ackumulerad avkastning än den marknadsviktade portföljen under testperioden. I alla testade fall ökar handelsvolymen liksom marknadspåverkan när en annan strategi än marknadsviktad används. Portföljen med maximerad Sharpe-kvot ger en hög avkastning med bibehållen låg risk. Den fundamentalt viktade portföljen ger bäst avkastning, men med en litet förhöjd risk. Kombinationen av de båda metoderna ger den portföljen med högst ackumulerad avkastning och samtidigt lägst risk under testperioden.
Csörgö, Tomáš. "Meranie výkonnosti portfólia." Master's thesis, Vysoká škola ekonomická v Praze, 2013. http://www.nusl.cz/ntk/nusl-195516.
Full textBardh, Pontus, and Jacob Haglund. "An Investment Approach Built on Systematic Risk : A performance analysis based on the characteristics of defensive and cyclical sectors on the Swedish stock market." Thesis, Jönköping University, IHH, Nationalekonomi, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-52950.
Full textKarlevall, Jimmie. "Hur ska du investera dina PPM-pengar? : En studie om PPM-fondernas historiska avkastning." Thesis, Södertörn University College, School of Business Studies, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:sh:diva-3569.
Full textPurpose: 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.
Methodology: 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.
Theoretical perspectives: 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.
Empirical foundation: Empirical data are acquired from www.morningstar.se, andtherefore also treated on this page. The material is then divided into documents and time axes.
Conclusions: 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.
Peyper, Wiehan Henri. "Comparing different exchange traded funds in South Africa based on volatility and returns / Wiehan Henri Peyper." Thesis, North West University, 2014. http://hdl.handle.net/10394/13086.
Full textMCom (Risk Management), North-West University, Vaal Triangle Campus, 2014
Schlögl, Hubertus Tassilo. "Macroeconomic indicators and systematic risk - is there a difference between emerging and developed markets?" Master's thesis, reponame:Repositório Institucional do FGV, 2018. http://hdl.handle.net/10362/36554.
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This explorative study is about the influencing effects of US macroeconomic announcements on changes in systematic risk with the focus on the difference between emerging and developed markets. Seven different US macroeconomic indicators have been examined and used to estimate betas as a proxy for the systematic risk around the announcement dates. In the period from 1996 until 2017, betas have been estimated over a three-month pre- and post window, resulting in 27 announcements per US macroeconomic indicator. The study also tries to provide insights of the consequences for portfolio managers, based on patterns of changes in betas and their relationship with changes in Sharpe ratios. The study results reveal that betas change consistently over the sample period, however, to a small magnitude. Also, the changes in mean Sharpe ratios around these announcement dates have not been found as statistical significant. However, the study results indicate that there is a positive relationship between changes in Sharpe ratios and changes in betas for developed countries as the Pearson correlation coefficient illustrates.
O seguinte estudo analisa a influência das publicações de dados macroeconómicos nas variações do risco sistemático, salientando os diferentes efeitos sobre os mercados emergentes e os países desenvolvidos. Foram examinados sete diferentes indicadores macroeconómicos dos EUA, sendo estes utilizados para determinar uma estimativa dos valores do risco sistémico perto das datas das publicações macroeconómicos dos EUA. No período entre 1996 e 2017, os betas foram estimados sobre um intervalo de tempo de três meses antes e depois de cada publicação, resultando em 27 publicações por cada indicador do EUA. Nesta análise também se tenta explicar as consequências destes efeitos para os gestores de carteiras, baseando-se em padrões de variações dos betas e a sua relação com as variações dos Sharpe Ratios. Os resultados desta análise evidenciam que os betas variam consistentemente ao longo do período da amostra, ainda que numa baixa magnitude. Além disso, as variações no valor médio dos Sharpe Ratios nas datas próximas aos relativos anúncios económicos não são estatisticamente significativas. Contudo, os resultados desta análise indicam que existe uma relação positiva entre variações dos Sharpe Ratios e variações nos betas dos países desenvolvidos, como o coeficiente de correlação de Pearson demonstra.
Yu, Jung-Suk. "Essays on Fine Structure of Asset Returns, Jumps, and Stochastic Volatility." ScholarWorks@UNO, 2006. http://scholarworks.uno.edu/td/431.
Full textBlad, Tobias, and Kristian Nilsson. "Är etiska fondinvesteringar försvarbara : vad kostar etik?" Thesis, Högskolan Kristianstad, Sektionen för hälsa och samhälle, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:hkr:diva-10999.
Full textPå senare tid har urvalet av etiska fonder ökat, samtidigt som investerare med sociala och moraliska preferenser har blivit allt vanligare på kapitalmarknaden. Det finns idag diskussioner om huruvida etiska fonder presterar bättre eller sämre än fonder utan de etiska kriterierna. Detta innefattar också en livlig diskussion om huruvida investerare är medvetna om konsekvenserna av att investera i etiska fonder. Därför berör studien teorierna kring den rationella- och beslutsteorin, för vilka huvudsakligen styr investeringsbesluten. Studien behandlar också portföljvalsteori då detta är en av de bakomliggande teorierna för fondförvaltning och dess uppkomst. Syftet med denna studie är förklara om de etiska begränsningar i urvalet av värdepapper påverkar risk och avkastning i fondportföljen. I studien kommer en positivistisk forskningssats användas samt en kvantitativ metod. Metoden innefattar en del beräkningar och ekvationer som används och som presenteras. Studien pekar på att de etiska fonderna faktiskt levererar en bättre riskjusterad excessavkastning än sitt jämförelseindex på den svenska marknaden. Den visar också tendenser att de etiska fonderna levererar en bättre excessavkastning än de fonderna utan etiska preferenser. Vidare kommer studien fram till att det inte kan påvisas någon statistisk skillnad mellan de etiska fonderna och jämförelseindexet vad det gäller risken i investeringar. En begränsning med studien är att undersökningen huvudsakligen innefattar den svenska marknaden med svenska företagsaktörer. Detta gör att det kan finns behov av forskning på en global marknad där även de kulturella aspekterna behöver bejakas. Eftersom det tidigare har varit ganska oklart vad det gäller etiska fondernas prestanda på den svenska marknaden, och i en tid då efterfrågan på etiska urvalet ökar, är målet med denna studie att bringa klarhet om etiska fonders prestation.
Winter, Söderberg Cristoffer, and Stephanie Göransson. "THE BANK CRISIS FINANCIAL RATIOS : A comparative research of the UK and Sweden during 2006-2010." Thesis, Högskolan i Halmstad, Sektionen för ekonomi och teknik (SET), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-16409.
Full textOliveira, Madalena Mendes de Almeida Esteves de. "On Robo assessment of risk profiles." Master's thesis, Instituto Superior de Economia e Gestão, 2020. http://hdl.handle.net/10400.5/20778.
Full textNos tempos que correm, o mundo tecnológico tem crescido a um ritmo muito acelerado, o que significa que tem de haver uma rápida adaptação, e as empresas sentem a necessidade de se reinventar. As inovações tecnológicas também alcançaram a indústria de serviços de gestão de ativos com os chamados Robo-Advisors. Estas são as plataformas que fornecem aconselhamento financeiro ou gestão automatizada de investimentos. Os Robo-Advisors coletam informações sobre a situação financeira e os objetivos futuros de seus clientes através de questionários, recomendando carteiras baseadas em ETFs, supostamente adequadas ao perfil de risco do investidor. No entanto, os questionários parecem vagos e os robôs não revelam os métodos usados na alocação de ativos. Este estudo visa contribuir para a compreensão da eficácia dessas plataformas. Baseia-se na teoria da utilidade esperada e, para vários níveis de aversão relativa ao risco, propomos carteiras de média-variância ótimas. Em seguida, comparamos as nossas carteiras com as carteiras propostas pela plataforma Riskalyze, para três tipos diferentes de investidores: conservador, moderado e agressivo. Avaliando o seu desempenho in-sample e out-of-sample. Concluímos que, a longo prazo, a metodologia utilizada pelos robo-portfolios, de acordo com o perfil de risco do investidor, pode ser eficaz para investidores que apresentam um maior nível de aversão ao risco, porém para investidores com aversão ao risco relativamente menor os portfólios de média-variância tendem a ter melhor desempenho.
Nowadays, the technological world has been growing at a very fast rate, which means there has to be a quick adaptation and companies feel the need to reinvent themselves. Technological innovations also reached the asset management service industry with the so-called the Robo-Advisors. These are platforms that provide financial advice or automated investment management. Robo-Advisors collect information about their clients' financial situation and future goals through questionnaires, then recommending ETF based portfolios supposed to fit investor's risk profile. However, questionnaires seem to be vague, and robos do not reveal the methods used in asset allocation. This study aims at contributing to the understanding the effectiveness of these platforms. It relies on expected utility theory, and, for various levels of relative risk aversion we propose optimal mean-variance portfolios. We then compare our portfolios with the portfolios proposed by the Riskalyze platform, for three different types of investors: conservative, moderate and aggressive. By evaluating their in-sample and out-of-sample performance. We conclude, that in the long run, the methodology used by robo-portfolios, according to the investor's risk profile, can be effective for investors who have a higher level of risk aversion, however for investors with relatively lower risk aversion the mean-variance portfolios tend to perform better.
info:eu-repo/semantics/publishedVersion
ANSELMI, GIULIO. "ESSAYS ON OPTION IMPLIED VOLATILITY RISK MEASURES FOR BANKS." Doctoral thesis, Università Cattolica del Sacro Cuore, 2016. http://hdl.handle.net/10280/10402.
Full textThe thesis comprehends three essays on option implied volatility risk measures for banks. The thesis is organized in three chapters. Chapter I - studies the informational content for banks' stock returns in option's implied volatilities skews and spread. Chapter II - analyzes the effect of volatility risk measures (volatility skew and realized volatility) on banks' leverage. Chapter III - studies the relationship between banks' liquidity ratio and volatility risk measures.
Raciborski, Rafal. "Topics in macroeconomics and finance." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209211.
Full textThe starting point of the essay in Chapter 3 is the observation that the baseline New-Keynesian model, which relies solely on the notion of infrequent price adjustment, cannot account for the observed degree of inflation sluggishness. Therefore, it is a common practice among macro- modelers to introduce an ad hoc additional source of persistence to their models, by assuming that price setters, when adjusting a price of their product, do not set it equal to its unobserved individual optimal level, but instead catch up with the optimal price only gradually. In the paper, a model of incomplete adjustment is built which allows for explicitly testing whether price-setters adjust to the shocks to the unobserved optimal price only gradually and, if so, measure the speed of the catching up process. According to the author, a similar test has not been performed before. It is found that new prices do not generally match their estimated optimal level. However, only in some sectors, e.g. for some industrial goods and services, prices adjust to this level gradually, which should add to the aggregate inflation sluggishness. In other sectors, particularly food, price-setters seem to overreact to shocks, with new prices overshooting the optimal level. These sectors are likely to contribute to decreasing the aggregate inflation sluggishness. Overall, these findings are consistent with the view that price-setters are boundedly-rational. However, they do not provide clear-cut support for the existence of an additional source of inflation persistence due to gradual individual price adjustment. Instead, they suggest that general equilibrium macroeconomic models may need to include at least two types of production sectors, characterized by a contrasting behavior of price-setters. An additional finding stemming from this work is that the idiosyncratic component of the optimal individual price is well approximated by a random walk. This is in line with the assumptions maintained in most of the theoretical literature.
Chapter 4 of the thesis has been co-authored by Julia Lendvai. In this paper a full-fledged production economy model with Kahneman and Tversky’s Prospect Theory features is constructed. The agents’ objective function is assumed to be a weighted sum of the usual utility over consumption and leisure and the utility over relative changes of agents’ wealth. It is also assumed that agents are loss-averse: They are more sensitive to wealth losses than to gains. Apart from the changes in the utility, the model is set-up in a standard Real Business Cycle framework. The authors study prices of stocks and risk-free bonds in this economy. Their work shows that under plausible parameterizations of the objective function, the model is able to explain a wide set of unconditional asset return moments, including the mean return on risk-free bonds, equity premium and the Sharpe Ratio. When the degree of loss aversion in the model is additionally assumed to be state-dependent, the model also produces countercyclical risk premia. This helps it match an array of conditional moments and in particular the predictability pattern of stock returns.
Doctorat en Sciences économiques et de gestion
info:eu-repo/semantics/nonPublished
Alves, Pedro Miguel Carregueiro Jordão. "The effect of serial correlation in time-aggregation of annual sharpe ratios from monthly data." Master's thesis, 2018. http://hdl.handle.net/10362/32318.
Full text"Portfolio trading system using maximum sharpe ratio criterion." 1999. http://library.cuhk.edu.hk/record=b5890041.
Full textThesis (M.Phil.)--Chinese University of Hong Kong, 1999.
Includes bibliographical references (leaves 144-147).
Chapter Chapter 1: --- Introduction --- p.1
Chapter 1.1 --- Review on Portfolio Theory --- p.3
Chapter - 1.1.1 --- Expected Return and Risk of a Security --- p.3
Chapter -1.1.2 --- Expected Return and Risk of a Portfolio --- p.4
Chapter -1.1.3 --- The Feasible Set --- p.5
Chapter - 1.1.4 --- Assumptions on the Investor --- p.6
Chapter -1.1.5 --- Efficient Portfolios --- p.6
Chapter -1.1.5.1 --- Bounds on the Return and Risk of a portfolio --- p.6
Chapter -1.1.5.2 --- Concavity of the Efficient Set --- p.8
Chapter -1.1.6 --- The Market Model --- p.9
Chapter -1.1.7 --- Risk-free Asset --- p.11
Chapter - 1.1.8 --- Portfolio involving Risk-free Asset --- p.12
Chapter -1.1.9 --- The Sharpe Ratio --- p.14
Chapter 1.2 --- Review on Some Trading Models --- p.19
Chapter -1.2.1 --- Buy and Hold Model --- p.19
Chapter -1.2.2 --- Trading Model with Prediction Criteria --- p.20
Chapter -1.2.2.1 --- Two School of Theories --- p.20
Chapter - 1.2.2.2 --- Prediction of the stock price movement --- p.20
Chapter -1.2.2.3 --- The Use of Neural Network in Prediction --- p.21
Chapter -1.2.2.4 --- Single Step and Multi-step Prediction --- p.23
Chapter - 1.2.2.5 --- Trading Model based on Prediction Criteria --- p.25
Chapter - 1.2.2.6 --- For More Accurate Prediction --- p.25
Chapter -1.2.3 --- Weigend's Model --- p.26
Chapter - 1.2.3.1 --- Introduction --- p.26
Chapter -1.2.3.2 --- The Model Setup --- p.26
Chapter -1.2.3.3 --- The Objective Functions --- p.27
Chapter - 1.2.3.4 --- The Gradient Ascending Algorithm --- p.27
Chapter -1.2.3.5 --- The Gradient of the Sharpe Ratio --- p.27
Chapter - 1.2.3.6 --- The Training Procedure --- p.28
Chapter - 1.2.3.7 --- Some Properties of the Sharpe Ratio Training --- p.28
Chapter -1.2.4 --- Bengio's Model --- p.29
Chapter -1.2.4.1. --- Overview --- p.29
Chapter -1.2.4.2. --- The Trading System --- p.29
Chapter - 1.2.4.3 --- The Objective Function: the Portfolio Return --- p.31
Chapter - 1.2.4.4. --- The Training Process --- p.32
Chapter - 1.2.4.5 --- Computer Simulation --- p.34
Chapter - 1.2.4.6 --- Discussion --- p.36
Chapter Chapter 2: --- The Naive Sharpe Ratio Model --- p.38
Chapter - 2.1 --- Introduction --- p.39
Chapter - 2.2 --- Definition of the Naive Sharpe Ratio --- p.39
Chapter - 2.3 --- Gradient of Naive Sharpe Ratio with respect to the portfolio weighting: --- p.40
Chapter - 2.4 --- The Training Process --- p.40
Chapter - 2.5 --- Analysis of the Gradient --- p.41
Chapter -2.6 --- Compare with Bengio's and Weigend's Model --- p.42
Chapter -2.7. --- Computer Simulations --- p.43
Chapter -2.7.1 --- Experiment 1: How the Sharpe Ratio is Maximized --- p.43
Chapter -2.7.1.1 --- Experiment 11 --- p.44
Chapter -2.7.1.2 --- Experiment 12 --- p.45
Chapter -2.7.1.3 --- Experiment 13 --- p.46
Chapter -2.7.2 --- Experiment 2: Reducing the Unique Risk --- p.49
Chapter -2.7.3 --- Experiment 3: Apply to the Stock Market --- p.52
Chapter -2.8 --- Redefining the Naive Sharpe ratio with down-side risk --- p.56
Chapter -2.8.1 --- Definitions --- p.56
Chapter -2.8.2 --- Gradient of the Downside Nai've Sharpe Ratio --- p.57
Chapter -2.8.3 --- Analysis of the gradient of the new Sharpe ratio --- p.57
Chapter -2.8.4 --- Experiment: Compared with Symmetric Risk --- p.59
Chapter -2.8.4.1 --- Experimental Setup --- p.59
Chapter -2.8.4.2 --- Experimental Result --- p.60
Chapter -2.8.4.3 --- Discussion --- p.62
Chapter - 2.9 --- Further Discussion --- p.63
Chapter Chapter 3: --- The Total Sharpe Ratio Model --- p.64
Chapter - 3.1 --- Introduction --- p.65
Chapter -3.2 --- Defining risk of portfolio in terms of component securities' risk --- p.65
Chapter -3.2.1. --- Return for Each Security and the Whole Portfolio at Each Time Step --- p.65
Chapter -3.3.2. --- Covariance of the Individual Securities' Returns --- p.66
Chapter -3.2.3. --- Define the Sharpe Ratio and the Objective Function --- p.66
Chapter -3.2.3.1. --- The Excess Return --- p.66
Chapter -3.2.3.2. --- The Risk --- p.67
Chapter -3.2.3.3. --- The Sharpe Ratio at Time t --- p.67
Chapter -3.2.3.4. --- The Objective Function: the total Sharpe ratio --- p.67
Chapter -3.2.3.5. --- The Training Process --- p.68
Chapter -3.3 --- Calculating the Gradient of the Total Sharpe Ratio --- p.69
Chapter -3.4. --- Analysis of the Total Sharpe Ratio Gradient --- p.70
Chapter -3.4.1 --- The Gradient Vector of the Sharpe Ratio at a Particular Time Step --- p.70
Chapter -3.4.2 --- The Gradient Vector of the Risk --- p.70
Chapter - 3.5 --- Computer Simulation: --- p.72
Chapter -3.5.1 --- Apply to the Stock Market1 --- p.72
Chapter -3.5.1.1 --- Objective --- p.72
Chapter - 3.5.1.2 --- Experimental Setup --- p.72
Chapter -3.5.1.3 --- The Experimental Result --- p.73
Chapter -3.5.2 --- Apply to the Stock Market2 --- p.78
Chapter -3.5.2.1 --- Objective --- p.78
Chapter -3.5.2.2 --- Experimental Setup --- p.78
Chapter -3.5.2.3 --- The Experimental Result --- p.79
Chapter -3.6 --- Defining the Total Sharpe Ratio in terms of Downside Risk --- p.84
Chapter - 3.6.1. --- Introduction --- p.84
Chapter -3.6.2. --- Covariance of the individual securities' returns --- p.84
Chapter -3.6.3. --- Define the Downside Risk Sharpe ratio and the objective function --- p.85
Chapter -3.6.3.1. --- The Excess Return --- p.85
Chapter -3.6.3.2. --- The Downside Risk --- p.85
Chapter -3.6.3.3. --- The Sharpe ratio at time T --- p.85
Chapter -3.6.3.4. --- The Objective function --- p.85
Chapter -3.6.4. --- The Training Process --- p.85
Chapter -3.7 --- Total Sharpe Ratio involving Transaction Cost --- p.86
Chapter -3.7.1 --- Introduction --- p.86
Chapter -3.7.2 --- Return for each stock and the whole portfolio at each time step --- p.86
Chapter -3.7.3 --- Linear Approximation of the Portfolio's return --- p.88
Chapter -3.7.4 --- Covariance of the individual securities' returns --- p.89
Chapter -3.7.5 --- Define the Sharpe ratio and the objective function --- p.90
Chapter -3.7.5.1 --- The Excess Return --- p.90
Chapter -3.7.5.2 --- The Risk --- p.90
Chapter -3.7.5.3 --- The Sharpe Ratio at time T --- p.90
Chapter -3.7.5.4 --- The Objective Function --- p.90
Chapter -3.7.6 --- Calculation of the gradient of the Total Sharpe ratio --- p.91
Chapter -3.7.7. --- Analysis of the Total Sharpe Ratio Gradient --- p.94
Chapter -3.7.7.1 --- The Gradient Vector of the Sharpe Ratio at a Particular Time Step --- p.94
Chapter -3.7.7.2 --- The Gradient Vector of the Risk --- p.94
Chapter -3.7.8 --- Experiment 1: Compare with Buy and Hold Method --- p.96
Chapter -3.7.8.1 --- Experiment 11 --- p.96
Chapter -3.7.8.2. --- Experiment 12 --- p.102
Chapter -3.7.9 --- Experiment 2: Compared with Naive Sharpe Ratio --- p.108
Chapter -3.7.9.1 --- Objective --- p.108
Chapter -3.7.9.2. --- Experimental Setup --- p.108
Chapter -3.7.9.3. --- The Experimental Result --- p.109
Chapter - 3.7.10 --- Experiment 3: Compared with other models --- p.113
Chapter - 3.7.10.1 --- Experiment 31 --- p.113
Chapter - 3.7.10.2. --- Experiment 32 --- p.117
Chapter -3.7.11 --- Experiment 4: Apply to the Stock Market --- p.121
Chapter -3.7.11.1 --- Objective --- p.121
Chapter - 3.7.11.2. --- Experimental Setup --- p.121
Chapter -3.7.11.3. --- The Experimental Result --- p.121
Chapter Chapter 4: --- Conclusion --- p.126
Appendix A --- p.130
Appendix B --- p.139
Appendix C --- p.141
Appendix D --- p.142
Reference --- p.144