The European style arithmetic Asian option pricing with stochastic interest rate based on Black Scholes model

The stock investment is a high risk investment. Therefore, there are derivative securities to reduce these risks. One of them is Asian option. The most fundamental of option is option pricing. Many factors that determine the option price are underlying asset price, strike price, maturity date, volatility, risk free interest rate and dividends. Various option pricing usually assume that risk free interest rate is constant. While in reality, this factor is stochastic process. The arithmetic Asian option is free from distribution, then, its pricing is done using the modified Black-Scholes model. In this research, the modification use the Curran approximation. This research focuses on the arithmetic Asian option pricing without dividends. The data used is the stock daily closing data of Telkom from January 1 2016 to June 30 2016. Finnaly, those option price can be used as an option trading strategy.