Journal of Actuarial, Finance, and Risk Managment
Vol 4, No 1 (2025)

Pricing Asian Options on BBCA Stocks: A Binomial and Black-Scholes Approach

Antoro, Srava Chrisdes (Unknown)
Irsan, Maria Yus Trinity (Unknown)



Article Info

Publish Date
12 Aug 2025

Abstract

This paper aims to evaluate the pricing of Asian options using two widely recognized methods: the Binomial Option Pricing Model and the Black-Scholes Model. Asian options are a form of exotic options where the payoff depends on the average price of the underlying asset over a specified period, reducing the impact of market volatility compared to standard European or American options. The research focuses on BBCA (Bank Central Asia) stock data over a two-month period from September to November 2024. The study uses the arithmetic average for the binomial model and the geometric average for the Black-Scholes model. Essential financial parameters such as risk-free interest rate, volatility, and strike prices are determined based on real market data and standard assumptions. The binomial model offers a numerical approach through discrete time intervals, while the Black-Scholes model provides a closed-form analytical solution. Results show that the call option prices from the binomial and Black-Scholes models are 1,228.79 and 1,272.02 respectively, with a Mean Absolute Percentage Error (MAPE) of 3.52%. For the put options, the binomial and Black-Scholes prices are 1,754.46 and 1,711.21, respectively, with a MAPE of 2.46%. These low error rates suggest that both models can accurately estimate Asian option values. The study concludes that both the binomial and Black-Scholes models are effective tools for pricing Asian options on BBCA stock, offering comparable results with minimal deviation. This finding supports the use of these models in financial decision-making for exotic options in the Indonesian market

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Journal Info

Abbrev

JAFRM

Publisher

Subject

Economics, Econometrics & Finance Mathematics

Description

This journal aims to provide high quality articles covering any and all aspects of the most recent and significant developments in the actuarial, financial, and risk ...