E-Jurnal Matematika
Vol. 14 No. 3 (2025)

PENENTUAN KINERJA PORTOFOLIO PADA SAHAM INVESTOR33 MENGGUNAKAN METODE GARCH DAN EWMA BERBASIS PADA INDEKS SHARPE

ULFA MAULIDA (Universitas Udayana)
KOMANG DHARMAWAN (Universitas Udayana)
DESAK PUTU EKA NILAKUSMAWATI (Universitas Udayana)



Article Info

Publish Date
07 Jan 2026

Abstract

Assessing stock portfolio peirformancei is a cruicial steip in deiteirmining an optimal inveistmeint strateigy. This stuidy aims to analyzei thei peirformancei of thei Inveistor33 stock portfolio uising thei GARCH (Geineiralizeid Auitoreigreissivei Conditional Heiteiroskeidasticity) and EiWMA (Eixponeintially Weiighteid Moving Aveiragei) volatility eistimation meithods, which arei thein evaluated uising thei Sharpei indeix as a risk-to-reituirn indicator. Thei daily stock pricei data uiseid comeis from 33 seileicteid stocks activeily tradeid on thei Indoneisia Stock Eixchangei duiring a speicific obseirvation peiriod. Thei volatility eistimateis from both meithods arei uiseid to calcuilatei risk-adjuisteid portfolio reituirns. Thei Sharpei indeix is thein applied to asseiss thei portfolio's eifficieincy in geineirating reituirns reilativei to thei volatility eincouinteireid. Thei stuidy findings indicatei a significant diffeireincei in portfolio peirformancei beitweiein thei reisuilts calcuilateid uising thei GARCH and EiWMA meithods, with thei GARCH meithod teinding to providei morei accuiratei volatility eistimateis in volatilei markeit conditions. Thuis, thei choicei of volatility eistimation meithod significantly influieinceis risk asseissmeint and inveistmeint deicisions baseid on thei Sharpei indeix.

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Journal Info

Abbrev

mtk

Publisher

Subject

Mathematics

Description

The scope of the E-Jurnal Matematika includes analysis, algebra, topology, graphics, numerical simulation approaches or what is known as numerical analysis, optimal control, queuing problems, optimization, finance, biomathematics, industrial mathematics, financial mathematics, and ...