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Journal : International Journal of Applied Mathematics and Computing.

Mutual Fund Performance Analysis Using Information Ratio, STJ Ratio and Value at Risk Ni Putu Leony Putri Paramita; Komang Dharmawan; I Gusti Ngurah Lanang Wijaya Kusuma
International Journal of Applied Mathematics and Computing Vol. 2 No. 1 (2025): International Journal of Applied Mathematics and Computing
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62951/ijamc.v2i1.66

Abstract

Measuring performance solely by relying on returns is probably not enough, it is important to consider both returns and risks. Some measurement methods that consider both of these factors are the Sharpe Ratio index, Treynor Ratio, Jensen Alpha, and Information Ratio. Risk analysis using Value at Risk Monte Carlo simulation is also important to determine the potential for extreme risks. The purpose of this study is to provide a good understanding of the performance and risk of mutual fund investments. Based on the performance results, Schroder is the most superior mutual fund, with the highest Information Ratio, Sharpe Ratio, and Jensen Ratio, indicating that they are able to generate good returns considering the risks taken. However, Schroder also has the highest VaR, meaning it has the potential for large losses in the worst market conditions. On the other hand, MNC is at the bottom in almost all performance methods, indicating poor performance with low returns and lower risks.
Application of Conditional Monte Carlo Simulation in Determining European Option Contract Pricing (Case Study on Toyota Motor Corporation (TM) Stock) Fransisca Emmanuella Aryossi; Komang Dharmawan; I GN Lanang Wijayakusuma
International Journal of Applied Mathematics and Computing Vol. 2 No. 1 (2025): International Journal of Applied Mathematics and Computing
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62951/ijamc.v2i1.97

Abstract

When making investment decisions, it is crucial for investors to consider various risks that may arise, both in the short and long term. One method to measure risk is through volatility. Volatility represents a statistical measurement of the degree of price variation over a specific period, expressed as volatility (σ) (Aklimawati & Wahyudi, 2013). This study aims to discuss the pricing of European option contracts using Conditional Monte Carlo simulation and the Black-Scholes method. The data used in this study is secondary data obtained from Yahoo Finance. The data consists of quantitative information, namely the monthly closing prices of Toyota Motor Corporation (TM) stock, spanning 5 years from July 1, 2019, to July 1, 2024, yielding 60 data points. In this research, the pricing of European call option contracts was calculated using Conditional Monte Carlo simulation and the Black-Scholes method. The study concludes that European option contract pricing can be determined using two methods: Conditional Monte Carlo simulation and the Black-Scholes method. Conditional Monte Carlo simulation can be employed to calculate European option prices in a structured manner, utilizing stochastic volatility estimated through the Ordinary Least Squares (OLS) method. The two methods yield differing option prices; Conditional Monte Carlo simulation produces lower option price estimates with relatively lower error values compared to the Black-Scholes method at every strike price. The lower estimates from Conditional Monte Carlo simulation are due to its consideration of stochastic changes in volatility, whereas the Black-Scholes method results in higher prices due to its assumption of constant volatility. The comparison demonstrates that Conditional Monte Carlo simulation provides cheaper price estimates under market conditions with non-constant volatility, despite requiring higher computational time compared to the Black-Scholes method. ,
Determining the Price of Asian Type Call Option Contracts Using the Monte Carlo Stratified Sampling Method Susanti Marito Barus; Komang Dharmawan; Luh Putu Ida Harini
International Journal of Applied Mathematics and Computing Vol. 2 No. 2 (2025): April: International Journal of Applied Mathematics and Computing
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62951/ijamc.v2i2.188

Abstract

Determining the price of option contracts is a crucial aspect of financial markets, particularly for investors aiming to manage risk and make informed investment decisions. In this study, the price of an Asian call option is calculated using the Monte Carlo Stratified Sampling method based on the stock price data of Tesla, Inc. (TSLA) from January 2021 to December 2023. This method has been proven to reduce variance compared to the Standard Monte Carlo simulation, leading to faster price convergence and more efficient results. The parameters used in the simulation include the initial stock price (S_0), number of simulations (N), maturity time (T)dividend = 0, risk-free rate (r), strike price ( K), and volatility
Co-Authors A.A DWI MARSITA ANGGRAENI AA Sudharmawan, AA ADE AYU NITA DEVI AULIA ATIKA PRAWIBTA SUHARTO DERY MAULANA DESAK PUTU DEVI DAMIYANTI Desak Putu Eka Nilakusmawati DEVI NANDITA. N DEWA AYU AGUNG PUTRI RATNASARI ELVINA LIADI FEBBY VERENNIKA Fransisca Emmanuella Aryossi G. K Gandhiadi G. K. GANDHIADI Gandhiadi, G K GEDE SUMENDRA HAMITA HAKMI HERLINA HIDAYATI I G. A. Widagda I GEDE ARYA DUTA PRATAMA I GEDE ERY NISCAHYANA I GEDE RENDIAWAN ADI BRATHA I Gusti Ayu Made Srinadi I GUSTI AYU MITA ERMIA SARI I GUSTI MADE AYU ANGGUN TIARA PRATINI I GUSTI PUTU NGURAH MAHAYOGA I KOMANG GDE SUKARSA I KOMANG TRY BAYU MAHENDRA I NYOMAN BRYAN ANDIKA I Nyoman Widana I Putu Eka Nila Kencana I PUTU OKA PARAMARTHA I PUTU YUDHI PRATAMA I Wayan Sumarjaya I WAYAN WIDHI DIRGANTARA ICHA WINDA DIAN SAFIRA IDA AYU EGA RAHAYUNI IDA AYU GDE KHASMANA PUTRI IDA AYU PUTU CANDRA DEWI IDA BAGUS ANGGA DARMAYUDA IKHSAN AKBAR INTAN AWYA WAHARIKA INTAN LESTARI IRENE MAYLINDA PANGARIBUAN KADEK FRISCA AYU DEVI KADEK INTAN SARI KADEK MIRA PITRIYANTI Kartika Sari Ketut Jayanegara LUH HENA TERECIA WISMAWAN PUTRI LUH PUTU IDA HARINI Luh Putu Ratna Sundari LUSIA EMITRIANA MAGOL MADE ASIH MAKBUL MUFLIHUNALLAH MERARY SIANIPAR MIRANDA NOVI MARA DEWI N. N. Rupiasi NABILA NUR JANNAH NI KADEK NITA SILVANA SUYASA NI KADEK PUSPITAYANTI Ni Ketut Tari Tastrawati NI LUH NIKASARI NI LUH PUTU KARTIKA WATI Ni Luh Putu Suciptawati Ni Made Asih NI MADE NITA ASTUTI NI NYOMAN AYU ARTANADI Ni Nyoman Rupiasih NI PUTU AYUNDA SURYA DEWI Ni Putu Leony Putri Paramita NI PUTU WIDYA ISWARI DEWI NI WAYAN UCHI YUSHI ARI SUDINA PUTU AMANDA SETIAWANI PUTU AYU DENI PUTU IKA OKTIYARI LAKSMI PUTU MIRAH PURNAMA D. PUTU SAVITRI DEVI PUTU WIDYA ASTUTI Ratna Sari Widiastuti RISKA YUNITA SAYID QOSIM SORAYA SARAH AFIFAH Surma, Odilia Gratiaplena Susanti Marito Barus Swastika, Putu Veri Tjokorda Bagus Oka VIAN RISKA AYUNING TYAS VIKY AMELIAH WAYAN ARTHINI Wijayakusuma, I Gusti Ngurah Lanang WIRYA SEDANA Yan Ramona YOHANA Th.V. SERAN YOSEVA AGUNG PRIHANDINI