Simple chooser options with Maple

Anna Milian

Abstrakt

This paper discusses Monte Carlo simulations of the Black-Scholes model. It is introduced with the simple example of the pricing of ‘European call options on a no-dividend stock and the simulation results are compared with an analytical solution. Monte-Carlo methods are then used to price simple chooser options. Moreover, it is shown that the distribution of rate of the return from investment in simple chooser options is significantly dependent on the strike price. The presented simulation is performed using MAPLE.

Słowa kluczowe: simple chooser options, Black-Scholes model, Monte Carlo method
References

Corrado C., Miller T., A Note on a Simple, Accurate Formula to Compute Implied Standard Deviation, Journal of Banking &Finance vol. 20, 1996, 593-603.

Cuthbertson K., Nitzsche D., Financial Engineering Derivatives and Risk Management, John Wiley and Sons, LTD, New York 2003.

Glasserman P., Monte Carlo Methods in Financial Engineering, Springer, New York 2004.

Korn R., Korn E., Kroisandt G., Monte Carlo Methods and Models in Finance and Insurance, CRC Press, Taylor & Francis Group, New York 2010.

Martinkute-Kauliene R., Exotic Options: A Chooser Options and its Pricing, Business, Management and Education, vol. 10 (2), 2012, 289-301.

Weron A., Weron R., Inżynieria finansowa. Wycena instrumentów pochodnych. Symulacje komputerowe. Statystyka rynku, WNT, Warszawa 1999.