Option is derivative instrument that have investment benefit and provide return for the writer and the holder.
Option price determination is affected by risk factor. However in Black-Scholes model option price is
determined without arbitrage risk affection so it is impossible to take return. In this study, option price
formula is constructed to be more represent the condition of financial market using incomplete market
concept where financial asset, that is traded, is affected by arbitrage risk so it is possible for market
participants to take return. European call option is defined by Esscher Transform method and option price
formula is determined by changing its form to linear approximation. The result from this study is option
price formula with linear approximation has some privileges. That is easy to be applied in computation
process, more representatives in getting risk indication in the financial market and can predict option price
more accurately. Linear approximation formula is applied in the program that can be used by option writer
or holder and is equipped with export data feature that can be possible for further research development.
Rachmawati R. N, Sufon and Budiharto D. W. (2013). European call option application in incomplete market-analysis and development. Journal of Computer Science, 10 (1), 157-168.