Title Portfelio sudarymas ir optimizavimas naudojantis Šarpo, standartinio nuokrypio ir maksimalaus nuosmukio rizikos matais
Translation of Title Portfolio construction and optimization using sharpe, standard deviation and maximum drawdown risk measures.
Authors Vaitkevičius, Aigiris
Full Text Download
Pages 42
Abstract [eng] This thesis examines portfolio construction based on alternative risk measures using a universe of exchange-traded funds (ETFs) representing major global asset classes. The empirical analysis is conducted on daily data from 1 January 2008 to 31 December 2024 for ten ETFs spanning U.S. and international equities, emerging markets, small-cap equities, investment-grade and high-yield bonds, real estate, commodities, and gold. The objective is to compare how different definitions of risk affect portfolio weights and the resulting risk–return trade-off. Three risk measures are analysed: the standard deviation of returns, the Sharpe ratio, and maximum drawdown. Standard deviation is used to construct a minimum-variance portfolio, the Sharpe ratio is maximized to obtain a portfolio with the highest return per unit of volatility, and maximum drawdown is minimized to emphasize capital preservation. All optimized portfolios are compared to equal-weight benchmark. The methodology is implemented in Python, using the SLSQP algorithm for constrained nonlinear optimization (long-only, fully invested portfolios) and Monte Carlo simulations over a large set of randomly generated portfolios as a robustness check.
Dissertation Institution Vilniaus universitetas.
Type Master thesis
Language Lithuanian
Publication date 2026