In developing an understanding of real-world problems, researchers develop mathematical and statistical models. Various model selection methods exist which can be used to obtain a mathematical model that best describes the real-world situation in some or other sense. These methods aim to assess the merits of competing models by concentrating on a particular criterion. Each selection method is associated with its own criterion and is named accordingly. The better known ones include Akaike's Information Criterion, Mallows' Cp and cross-validation, to name a few. The value of the criterion is calculated for each model and the model corresponding to the minimum value of the criterion is then selected as the "best" model. / Mathematical Sciences / M. Sc. (Statistics)

In developing an understanding of real-world problems, researchers develop mathematical and statistical models. Various model selection methods exist which can be used to obtain a mathematical model that best describes the real-world situation in some or other sense. These methods aim to assess the merits of competing models by concentrating on a particular criterion. Each selection method is associated with its own criterion and is named accordingly. The better known ones include Akaike's Information Criterion, Mallows' Cp and cross-validation, to name a few. The value of the criterion is calculated for each model and the model corresponding to the minimum value of the criterion is then selected as the "best" model. / Mathematical Sciences / M. Sc. (Statistics)

Syfte: Syftet med studien är att analysera och utvärdera Carharts fyrfaktormodells och Fama- Frenchs trefaktormodells prestanda vid portföljavkastning på den svenska aktiemarknaden, under perioden 2011–2020. Teori: Denna studie grundar sig i den effektiva marknadshypotesen, Fama och Frenchs trefaktormodell samt Carharts fyrfaktormodell. Metod: En kvantitativ studie med ett deduktivt förhållningssätt. Undersökningen utför tester på den svenska aktiemarknaden under perioden 2011–2020 genom en regressionsanalys. Upptäckter: Carharts fyrfaktormodell har en högre justerad förklaringsgrad än trefaktormodellen, vilket drivs av modellens förmåga att förklara avkastning på portföljer sorterade efter storlek och momentum. Originalitet: Studien särskiljer sig på grund av avsaknaden av forskning på den svenska aktiemarknaden. Vidare bidrar studien till ett forskningsområde för små öppna ekonomier, där den svenska aktiemarknaden ingår. / Purpose: The purpose of the study is to analyze and evaluate Carhart's four-factor model’s and Fama-French's three-factor model's performance in portfolio returns on the Swedish stock market, during the period 2011–2020. Theory: This study is based on the effective market hypothesis, Fama and French's three- factor model and Carhart's four-factor model. Method: A quantitative study with a deductive approach. The survey performs tests on the Swedish stock market between the period 2011-2020 through a regression analysis. Findings: Carhart's four-factor model has a higher adjusted degree of explanation than the three-factor model, which is driven by the model's ability to explain returns on portfolios sorted by size and momentum. Originality: The study differs due to the lack of research on the Swedish stock market. Furthermore, the study contributes to a research area for small open economies, where the Swedish stock market is included.