Journal Press India®

MUDRA: Journal of Finance and Accounting
Vol 12 , Issue 2 , July - December 2025 | Pages: 1-26 | Research Paper

Relevance of BSOP Model: An Empirical Investigation of Select Power Sector Stock Options

 
Article has been added to the cart.View Cart (0)

Author Details ( * ) denotes Corresponding author

1. * Dhondiba Nikkam, Assistant Professor, Department of Commerce, Government First Grade College Aland, Kalaburagi, Karnataka, India (drdnikkam@gmail.com)

The Black–Scholes Option Pricing Model is a significant framework in financial market for pricing stock option based on the underlying stock value. This study investigates option pricing accuracy in the Indian options market, focusing on select power sector stock options across different moneyness levels and time to expiration period for both call as well as put options by using Mean Absolute Percentage Error (MAPE), the study found that there is significant differences in the model’s accuracy. BPCL stock options show the lowest pricing error (20%), where as NTPC has the highest (28%), the model performs best for DITM options but struggles with OTM options. in addition, shorter expiration periods have higher pricing errors, improving as time to expiration increases. These differences suggest that the model’s efficiency is not uniform across all stocks. These results highlight the model’s limitations in capturing short-term market fluctuations and pricing OTM options effectively.

Keywords

Option pricing; BSOPM; Pricing relevance; Power sector; Moneyness; Time to expiration

  1. Aggarwal, R. & Thomas, S. (2018). An empirical analysis of the Black-Scholes model in Indian banking and power sectors. Journal of Financial Markets, 12(3), 215-230.
  2. Bakshi, G., Cao, C. & Chen, Z. (1997). Empirical performance of alternative option pricing models. The Journal of Finance, 52(5), 2003-2049. Retrieved from https://doi.org/10.1111/ j.1540-6261.1997.tb02749.x
  3. Black, F. & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637-654. Retrieved from https://doi.org/10.1086/260062
  4. Chakrabarti, R. & Ghosh, A. (2012). Analyzing the effectiveness of the Black-Scholes model in the Indian stock market. Indian Journal of Finance and Economics, 9(1), 34-48.
  5. Chauhan, M. & Gor, H. (2021). Comparative evaluation of Black-Scholes and Binomial option pricing models: Evidence from Indian stock options. International Journal of Economics and Finance, 13(2), 101–112. Retrieved from https://doi.org/10.5539/ijef.v13 n2p101
  6. Christensen, B. J. & Prabhala, N. R. (1998). The relation between implied and realized volatility. Journal of Financial Economics, 50(2), 125-150. Retrieved from https://doi.org/ 10.1016/S0304-405X(98)00034-8
  7. Nikkam, D. & Panduranga, V. (2013). An empirical study of the Black-Scholes model- A case study of pharmaceuticals stock options. International Journal of Business, Management, & Social Sciences, 3(2).
  8. Gupta, R. & Jain, P. (2015). Option pricing in emerging markets: An empirical test of Black-Scholes in the Indian equity derivatives market. International Journal of Financial Studies, 4(1), 89-104.
  9. Hull, J. & White, A. (1987). The pricing of options on assets with stochastic volatility. The Journal of Finance, 42(2), 281-300. Retrieved from https://doi.org/10.1111/j.1540-6261.19 87.tb02568.x
  10. Nayak, S. & Brenner, T. (2025). Mathematical modeling of option pricing with an extended Black-Scholes framework. arXiv preprint. Retrieved from https://arxiv.org/abs/2504.03175
  11. Panduranga, V. (2013). Relevance of Black-Scholes option pricing model in Indian derivatives markets – A study of cement stock options. International Journal of Multidisciplinary Research in Social and Management Sciences, 1(4), 91-95.
  12. Rubinstein, M. (1985). Nonparametric tests of alternative option pricing models using all reported trades and quotes on the 30 most active CBOE option classes from August 23, 1976, through August 31, 1978. The Journal of Finance, 40(2), 455-480. Retrieved from https://doi.org/10.1111/j.1540-6261.1985.tb04980.x
  13. Sharma, K., Iyer, P. & Bose, R. (2024). Machine learning vs traditional models: Option pricing in emerging markets. In Proceedings of the Springer Conference on Computational Finance (pp. 88–101). Springer.
  14. Srivastava, R. & Shastri, S. (2020). An empirical analysis of Black-Scholes model performance in the Indian equity derivatives market. Journal of Financial Research and Analysis, 12(3), 45–58.
  15. Xue, Y. (2025). Option pricing models: A study of the Black-Scholes-Merton model. Retrieved from https://doi.org/10.1051/shsconf/202521501005
Abstract Views: 2
PDF Views: 4

By continuing to use this website, you consent to the use of cookies in accordance with our Cookie Policy.