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Risk neutral variances to compute expected returns using data from S&P BSE 100 firms—a replication study

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  • Hardeep Singh Mundi

    (University of Petroleum and Energy Studies)

Abstract

The purpose of the paper is to test the new approach suggested by Martin and Wagner (2019, p 1887–1929) for calculating the expected return on stocks. The risk-neutral variance of stock, the risk-neutral variance of the market, and the volume-weighted average of risk-neutral variance are used to compute the expected return. Options prices are used to compute the risk-neutral variance for the sample period and sample firms. The data from April 2015–March 2020 for S&P BSE 100 are collected, and regression models are used to test the newly developed approach to compute expected returns. The results using data for Indian firms are qualitatively the same. The study states that the approach to compute expected returns based on risk-neutral variance is more practical and has implications for finance professionals and academicians.

Suggested Citation

  • Hardeep Singh Mundi, 2023. "Risk neutral variances to compute expected returns using data from S&P BSE 100 firms—a replication study," Management Review Quarterly, Springer, vol. 73(1), pages 215-230, February.
  • Handle: RePEc:spr:manrev:v:73:y:2023:i:1:d:10.1007_s11301-021-00236-7
    DOI: 10.1007/s11301-021-00236-7
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    1. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    3. Jennifer Conrad & Robert F. Dittmar & Eric Ghysels, 2013. "Ex Ante Skewness and Expected Stock Returns," Journal of Finance, American Finance Association, vol. 68(1), pages 85-124, February.
    4. Allan M. Malz, 2014. "Simple and reliable way to compute option-based risk-neutral distributions," Staff Reports 677, Federal Reserve Bank of New York.
    5. Adrian Buss & Grigory Vilkov, 2012. "Measuring Equity Risk with Option-implied Correlations," Review of Financial Studies, Society for Financial Studies, vol. 25(10), pages 3113-3140.
    6. 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.
    7. Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. "Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-1632, December.
    8. Ruijun Bu & Kaddour Hadri, 2007. "Estimating option implied risk-neutral densities using spline and hypergeometric functions," Econometrics Journal, Royal Economic Society, vol. 10(2), pages 216-244, July.
    9. Allan M. Malz, 2013. "Risk-neutral systemic risk indicators," Staff Reports 607, Federal Reserve Bank of New York.
    10. Byeong-Je An & Andrew Ang & Turan G. Bali & Nusret Cakici, 2014. "The Joint Cross Section of Stocks and Options," Journal of Finance, American Finance Association, vol. 69(5), pages 2279-2337, October.
    11. Merton, Robert C, 1987. "A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    12. Yigit Atilgan & Turan G. Bali & K. Ozgur Demirtas, 2015. "Implied Volatility Spreads and Expected Market Returns," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(1), pages 87-101, January.
    13. Ian Martin, 2017. "What is the Expected Return on the Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 367-433.
    14. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    15. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    16. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    17. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    18. Jackwerth, Jens Carsten, 1999. "Option Implied Risk-Neutral Distributions and Implied Binomial Trees: A Literature Review," MPRA Paper 11634, University Library of Munich, Germany.
    19. Sakhr Miss & Michel Charifzadeh & Tim A. Herberger, 2020. "Revisiting the monday effect: a replication study for the German stock market," Management Review Quarterly, Springer, vol. 70(2), pages 257-273, May.
    20. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    21. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    22. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    23. Marius Gros & Alexander Nevrela, 2020. "Revisiting the effectiveness of the German accounting enforcement reforms: a replication study," Management Review Quarterly, Springer, vol. 70(1), pages 135-164, February.
    24. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    25. Banz, Rolf W & Miller, Merton H, 1978. "Prices for State-contingent Claims: Some Estimates and Applications," The Journal of Business, University of Chicago Press, vol. 51(4), pages 653-672, October.
    26. Fu, Fangjian, 2009. "Idiosyncratic risk and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 91(1), pages 24-37, January.
    27. . Harshita & Shveta Singh & Surendra S. Yadav, 2015. "Indian stock market and the asset pricing models," Proceedings of Economics and Finance Conferences 2204802, International Institute of Social and Economic Sciences.
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