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Portfolio optimization for an P2P investor on Zonky
Jonáš, Filip ; Polák, Petr (advisor) ; Máková, Barbora (referee)
This thesis analyzes the Czech peer-to-peer lending platform Zonky. The goal was to find the optimal portfolio for a risk-averse investor investing in Zonky loans. For this purpose, the Modern portfolio theory from Markowitz was used. Based on the provided loan book containing information about loans which Zonky has provided since its foundation we examined the statistical properties of the individual risk categories represented by the interest rate charged. The optimization was done using the Excel Solver tool assuming that the loan categories are uncorrelated as well as considering the correlation we found using the variance- covariance matrix. For both cases, the portfolio minimizing the standard deviation as well as the portfolio which maximizes the Sharpe ratio was found. Generally, both types of portfolios were comprised mainly of loans with lower interest rate. According to our results, it seems that such loans offer better relationship between risk and return compared to categories which are riskier. Also, we showed that the platform's recovery rate has a significant impact on the performance of the loan categories especially of those which are among the riskiest. Furthermore, we demonstrated that the correlation between individual risk categories should not be ignored when a portfolio...
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Is it worth investing in Czech mutual funds?
Sedlačík, Adam ; Křehlík, Tomáš (advisor) ; Pištora, Vojtěch (referee)
In the Czech Republic many people do not invest. Therefore, we try to find out whether Czech mutual funds offer a good opportunity for investment on the Czech market in comparison with American funds. We use Sharpe ratio, Treynor index, Jensen's alpha and Modern portfolio theory to find this out. We conclude that Czech bond mutual funds are safe place to put your money in even though they provide small but almost certain returns. Czech stock funds perform worse than their American counterparts in terms of Sharpe ratio, Treynor index and Jesen's alpha. Applying modern portfolio theory proved to be beneficial in case of mutual funds in the Czech Republic. Powered by TCPDF (www.tcpdf.org)
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Kvantitativní podpora optimalizace akciového portfolia
Bumbálková, Edita
The thesis deals with the optimization of the stock portfolio using modern portfo-lio theory and mathematical programming. Optimization is achieved by Markowitz Model, the Capital Asset Pricing Model and Black-Litterman model. Stocks traded on the Prague Stock Exchange, Inc., are selected as exploration assets. The simula-tion technique Monte Carlo is used for the model evaluation.
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Aplikace Markowitzovy teorie při sestavování portfolia
Křen, Lukáš
This diploma thesis is focused on building investment portfolios using Markowitz portfolio theory. For calculating the weights of individual securities in the portfolio will be used the derivation based on Capital Asset Pricing Model (CAPM). From asset classes were chosen shares as a research sample. Shares in each portfolio are set together according to predefined criteria. This thesis examines the effect of beta coefficients on investment returns, further a portfolio is built according to analyst recommendations, taking into account the price estimation and also ran-dom portfolio is selected by computer. The results of this thesis will determine the general recommendations for optimal approach in selecting securities into the in-vestor's portfolio.
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Portfolio Theory
Zmítko, Milan ; Kollár, Miroslav (advisor) ; Bydžovský, Jiří (referee)
The aim of this work is to introduce Modern Portfolio Theory and its alternative Post-Modern Portfolio Theory. This work is subdivided in two parts. The first part describes the theoretical background of the Modern Portfolio Theory and the Post-Modern Portfolio Theory. A brief description of basic mathematical apparatus used in the both methods is overviewed putting an accent on different understanding and description of risk measurements. The second part of this work concerns implementation of the both portfolio theories in a case study which is focused on selection and analysis of behaviour of optimal portfolios built using the methods based on the both portfolio theories. The case study analyzes, taking into account various time series, the differences in composition of the optimal potrfolios and their performances during big turbulences in the capital markets in 2008. In conclusions the work compares the both theories and summarizes their advantages and disadvantages.
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