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Effectiveness of deterministic option pricing models: new evidence from Nifty and Bank Nifty Index options

Author

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  • Vipul Kumar Singh

    (Indian Institute of Management, Mumbai, Erstwhile National Institute of Industrial Engineering, Mumbai)

  • Pawan Kumar

    (Dublin City University)

Abstract

This research delves into the empirical performance of deterministic option pricing models in the dynamic financial landscape of India. The primary focus is on uncovering pricing discrepancies and discerning whether these disparities arise from inherent limitations in the theoretical foundations of the models or are influenced by the trading behaviors of market participants. The investigation centers on the analysis of call and put option contracts for the Nifty Index and Bank Nifty Index, both extensively traded on the National Stock Exchange (NSE) of India. The study’s findings highlight that models developed to address the theoretical constraints of the benchmark Black–Scholes model demonstrate noteworthy performance. However, the complexity of these models does not consistently translate into enhanced pricing efficiency. Notably, the Black–Scholes and Practitioner Black–Scholes models exhibit superior performance across various moneyness-maturity categories. Furthermore, the research underscores the substantial impact of option contract liquidity on the efficiency of the pricing models. Specifically, highly traded at-the-money and out-of-the-money option contracts exhibit a higher level of pricing accuracy.

Suggested Citation

  • Vipul Kumar Singh & Pawan Kumar, 2024. "Effectiveness of deterministic option pricing models: new evidence from Nifty and Bank Nifty Index options," Journal of Asset Management, Palgrave Macmillan, vol. 25(2), pages 172-189, March.
    • Handle: RePEc:pal:assmgt:v:25:y:2024:i:2:d:10.1057_s41260-024-00348-1
    DOI: 10.1057/s41260-024-00348-1
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    References listed on IDEAS

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    1. Przemyslaw S. Stilger & Ngoc Quynh Anh Nguyen & Tri Minh Nguyen, 2021. "Empirical performance of stochastic volatility option pricing models," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 1-22, March.
    2. Singh Vipul Kumar, 2014. "Competency of Monte Carlo and Black–Scholes in pricing Nifty index options: A vis-à-vis study," Monte Carlo Methods and Applications, De Gruyter, vol. 20(1), pages 61-76, March.
    3. Patrick Navatte & Christophe Villa, 2000. "The information content of implied volatility, skewness and kurtosis: empirical evidence from long‐term CAC 40 options," European Financial Management, European Financial Management Association, vol. 6(1), pages 41-56, March.
    4. Lao, Paulo & Singh, Harminder, 2011. "Herding behaviour in the Chinese and Indian stock markets," Journal of Asian Economics, Elsevier, vol. 22(6), pages 495-506.
    5. repec:dau:papers:123456789/13809 is not listed on IDEAS
    6. David S. Bates, 2022. "Empirical Option Pricing Models," Annual Review of Financial Economics, Annual Reviews, vol. 14(1), pages 369-389, November.
    7. Vipul Kumar Singh, 2013. "Effectiveness of volatility models in option pricing: evidence from recent financial upheavals," Journal of Advances in Management Research, Emerald Group Publishing Limited, vol. 10(3), pages 352-375, October.
    8. Dammak, Wael & Hamad, Salah Ben & de Peretti, Christian & Eleuch, Hichem, 2023. "Pricing of European currency options considering the dynamic information costs," Global Finance Journal, Elsevier, vol. 58(C).
    9. Rakesh Mohan & Partha Ray, 2017. "Indian Financial Sector: Structure, Trends and Turns," IMF Working Papers 2017/007, International Monetary Fund.
    10. Emanuel, David C. & MacBeth, James D., 1982. "Further Results on the Constant Elasticity of Variance Call Option Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(4), pages 533-554, November.
    11. Rubinstein, Mark, 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," Journal of Finance, American Finance Association, vol. 40(2), pages 455-480, June.
    12. Loretta Mastroeni, 2022. "Pricing Options with Vanishing Stochastic Volatility," Risks, MDPI, vol. 10(9), pages 1-16, September.
    13. Brandt, Michael W. & Wu, Tao, 2002. "Cross-sectional tests of deterministic volatility functions," Journal of Empirical Finance, Elsevier, vol. 9(5), pages 525-550, December.
    14. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    15. repec:bla:jfinan:v:44:y:1989:i:1:p:211-19 is not listed on IDEAS
    16. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    17. repec:bla:jfinan:v:53:y:1998:i:6:p:2059-2106 is not listed on IDEAS
    18. Vipul Kumar Singh, 2014. "Parity analysis of non-log normality of Black-Scholes and its inter-competence," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 3(4), pages 358-391.
    19. Feng, Shu & Zhang, Yi & Friesen, Geoffrey C., 2015. "The relationship between the option-implied volatility smile, stock returns and heterogeneous beliefs," International Review of Financial Analysis, Elsevier, vol. 41(C), pages 62-73.
    20. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Black–Scholes; CEV model; Gram–Charlier; Nifty Index; Options; Practitioner Black–Scholes; Volatility;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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