Optimization of investment in open - end investment funds by applying linear programming

U uvodnom dijelu rada navedene su osnovne informacije o zadatku, problematici, motivima i ciljevima koji se žele postići. Također su na sažet način opisani svi bitni elementi koji su obuhvaćeni radom. U drugom poglavlju detaljno su obrađeni otvoreni investicijski fondovi, kao i postojeće kategorije ovih fondova. Dane su osnovne karakteristike otvorenih investicijskih fondova, kao i rizici vezani uz ulaganja u njih, te najbitnije značajke svih kategorija ovih fondova, prednosti i nedostaci ulaganja u pojedinu kategoriju, kao i međusobne usporedbe. U trećem poglavlju teoretski je obrađeno linearno programiranje te su objašnjene metode za rješavanje problema linearnog programiranja, a detaljnije se pristupilo simpleks metodi, kao najznačajnijoj metodi. Također, pojašnjeno je na koji se način linearno programiranje može upotrijebiti u investicijskom odlučivanju. Dio poglavlja posvećen je teoretskom objašnjenju analize osjetljivosti dobivenog rješenja. U četvrtom poglavlju dane su osnovne informacije o računalnom programskom alatu LiPS, koji je kasnije korišten za rješavanje problema. Navedene su značajke i mogućnosti programa te opisan način rada u njemu. Peto poglavlje centralni je dio rada u kojem je detaljno objašnjen problem, kao i rješavanje problema po fazama. Prikupljeni su podaci o prosječnim godišnjim prinosima fondova u prethodnih pet godina te su nakon sortiranja odabrani najuspješniji fondovi na koje je u konačnici raspoređen raspoloživi novac. Definirane su funkcija cilja i ograničenja te je postavljen model. Podaci iz modela uneseni su u računalni program LiPS, nakon čega se pristupilo rješavanju. Dobiveni rezultati su detaljno analizirani, a dio poglavlja posvećen je i analizi osjetljivosti dobivenih rezultata. Završni dio rada rezerviran je za zaključak, odnosno sažetu analizu i osvrt na dobivene rezultate.Basic information about the task, issues, motives and goals to be achieved are given in the introductory part of this paper. Additionally, all the essential elements covered by the paper are described in a concise way. The second chapter deals in detail with open-end investment funds, as well as the existing categories of these funds. The basic characteristics of open-end investment funds are given, as well as the risks associated with investing in them. The most important features of all categories of these funds, advantages and disadvantages of investing in each category, as well as mutual comparisons are also segments of this chapter. The third chapter gives a theoretical explanation of linear programming, sensitivity analysis and the methods for linear programming problems solving. Simplex method, as the most important method, is elaborated in more details. It is also shown how linear programming can be used in investment decision making. The fourth chapter provides basic information about the LiPS computer program, which is later used to solve the problem. The characteristics and possibilities of the program are listed, as well as the way of working in it. The fifth chapter is the central part of the paper. Problem is explained in details, as well as solving of the problem in stages. Data about the average annual income of the funds in the previous five years were collected and, after sorting, the most successful funds were selected, to which the available money was allocated. Objective and constraints are defined and the model is set. The data from the model were entered into the computer program LiPS, after which the problem was solved. The obtained results are analyzed in details. Part of the chapter is dedicated to the sensitivity analysis of the obtained results. The final part of the paper is reserved for the conclusion, which includes short analysis and review of the results obtained