International Journal of Social Science & Economic Research
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Title:
IMPLIED VOLATILITY SMILE PATTERNS: EVIDENCE FROM NIFTY 50 INDEX OPTIONS

Authors:
Dr. V. Srividya, Ms. D. Susana

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Dr. V. Srividya, Ms. D. Susana
PSG Institute of Management, PSG College of Technology, Coimbatore- 641004

MLA 8
Srividya, Dr. V., and Ms. D. Susana. "IMPLIED VOLATILITY SMILE PATTERNS: EVIDENCE FROM NIFTY 50 INDEX OPTIONS." Int. j. of Social Science and Economic Research, vol. 3, no. 12, Dec. 2018, pp. 6851-6882, ijsser.org/more2018.php?id=483. Accessed Dec. 2018.
APA
Srividya, D., & Susana, M. (2018, December). IMPLIED VOLATILITY SMILE PATTERNS: EVIDENCE FROM NIFTY 50 INDEX OPTIONS. Int. j. of Social Science and Economic Research, 3(12), 6851-6882. Retrieved from ijsser.org/more2018.php?id=483
Chicago
Srividya, Dr. V., and Ms. D. Susana. "IMPLIED VOLATILITY SMILE PATTERNS: EVIDENCE FROM NIFTY 50 INDEX OPTIONS." Int. j. of Social Science and Economic Research 3, no. 12 (December 2018), 6851-6882. Accessed December, 2018. ijsser.org/more2018.php?id=483.

References
[1]. Acharya, V.V., Brenner, M., Engle, R.F., Lynch, A.W. and Richardson, M. (2012) 'Derivatives: the ultimate financial innovation', Restoring financial stability: How to repair a failed system, pp.229-249.
[2]. Ait-Sahalia, Y. and Lo, A.W. (1998) 'Nonparametric estimation of state?price densities implicit in financial asset prices', The Journal of Finance, Vol.53, No.2, pp.499-547.
[3]. Beber, A. (2001) 'Determinants of the implied volatility function on the Italian Stock Market. University of Trento. [online] pp.1-40. Available at: http://eprints.biblio.unitn.it/291/1/beber2001.pdf [Accessed at 15 Mar.2016].
[4]. Black, F. and Scholes, M. (1973) 'The pricing of options and corporate liabilities', Journal of political economy, Vol..81, No.3, pp.637-654.
[5]. Buraschi, A. and Jackwerth, J. (2001) 'The price of a smile: Hedging and spanning in option markets', The Review of Financial Studies, Vol. 14, No. 2, pp.495-527.
[6]. Campa, J.M., Chang, P.K. and Reider, R.L. (1998) 'Implied exchange rate distributions: evidence from OTC option markets', Journal of International Money and Finance, Vol.17, No.1, pp.117-160.
[7]. Chang, E.C., Ren, J. and Shi, Q. (2009) 'Effects of the volatility smile on exchange settlement practices: The Hong Kong case', Journal of Banking & Finance, Vol.33, No.1, pp.98-112.
[8]. Daglish, T., Hull, J. and Suo, W. (2007) 'Volatility surfaces: theory, rules of thumb, and empirical evidence', Quantitative Finance, Vol.7, No.5, pp.507-524.
[9]. Deo, M., Devanadhen, K. and Srinivasan, K. (2008) 'An empirical analysis of implied volatility in Indian options market', International Research Journal of Finance and Economics, Vol.5, No.1, pp.108-126.
[10]. Derman, E. (2003) 'Laughter in the dark-the problem of the volatility smile'. In Euronext Options Conference (Amsterdam).Available at : http://stockoptions.org.il/Admin/App_Upload/Laughter%20in%20the%20Dark%20- %20The%20Problem%20of%20the%20Volatility%20Smile.pdf [Accessed 11 Mar. 2016].
[11]. Derman, E. and Kani, I. (1994) 'The volatility smile and its implied tree', Quantitative strategies research notes, Goldman Sachs.
[12]. DNA Correspondent (2015). NSE retains top slot in global index options trading. DNA India,[online]. Available at http://www.dnaindia.com/money/report-nse-retains-top-slotin-global-index-options-trade-2079464 [Accessed 12 Dec.2015]
[13]. Dumas, B., Fleming, J. and Whaley, R.E. (1998) 'Implied volatility functions: Empirical tests', The Journal of Finance, Vol 53, No.6, pp.2059-2106.
[14]. Duque, J.L. and Lopes, P.T. (2003) 'Maturity and volatility effects on UK smiles', Portuguese Economic Journal, Vol.2, No.3, pp.173-193.
[15]. Dupire, B. (1994) 'Pricing with a Smile', Risk Magazine. Incisive Media, pp.327-343.
[16]. Ederington, L.H. and Guan, W. (2002) 'Why are those options smiling?', The Journal of Derivatives, Vo. No.10, No.2, pp.9-34.
[17]. Engle, R. (2004) 'Risk and volatility: Econometric models and financial practice', The American Economic Review, Vol. 94, No.3, pp.405-420.
[18]. Engstrom, M. (2002) 'Do Swedes smile? On implied volatility functions', Journal of Multinational Financial Management, Vol.12, No.4, pp.285-304.
[19]. Figlewski, S. (1989) 'What does an option pricing model tell us about option prices?', Financial Analysts Journal, pp.12-15.
[20]. Fleming, J., Ostdiek, B. and Whaley, R.E. (1995) 'Predicting stock market volatility: A new measure', Journal of Futures Markets, Vol.15, No.3, pp.265-302.
[21]. Heston, S.L. (1993) 'A closed-form solution for options with stochastic volatility with applications to bond and currency options', The review of financial studies, Vol. 6,No.2, pp.327-343.
[22]. Hull, J. and White, A. (1987) 'The pricing of options on assets with stochastic volatilities', The journal of finance, Vol. 42, No.2, pp.281-300.
[23]. Jackwerth, J.C. and Rubinstein, M. (1996) 'Recovering probability distributions from option prices', The Journal of Finance, Vol.51, No. 5, pp.1611-1631.
[24]. Jackwerth, J.C. (2004) 'Option-implied risk-neutral distributions and risk aversion'. The research foundation of AIMR, [online] pp.1-96.Avaliable at: http://www.cfapubs.org/doi/pdf/10.2470/rf.v2004.n1.3925 [Accessed 12 Dec.2015]
[25]. Kermiche, L. (2014) 'Too Much Of A Good Thing? A Review Of Volatility Extensions In BlackScholes', Journal of Applied Business Research, Vol. 30 No.4, p.1171. Koutmos, D. (2011) 'Time-varying beta risk, volatility persistence and the asymmetric impact of news: evidence from industry portfolios', Global Business and Economics Review, Vol.13, No.1 , pp.42-56.
[26]. Longstaff, F.A. (1995) 'Option pricing and the martingale restriction', The Review of Financial Studies, Vol.8 No.4, pp.1091-1124.
[27]. MacBeth, J.D. and Merville, L.J. (1979) 'An Empirical Examination of the Black?Scholes Call Option Pricing Model', The journal of finance, Vol.34, No.5, pp.1173-1186.
[28]. Mayhew, S. (1995) 'Implied volatility', Financial Analysts Journal, Vol.52 No.4, pp.8-20.
[29]. Merton, R.C. (1976) 'Option pricing when underlying stock returns are discontinuous', Journal of financial economics, Vol.3, No.1-2, pp.125-144.
[30]. Mitra, S. (2011) 'A review of volatility and option pricing', International Journal of Financial Markets and Derivatives, Vol.2, No.3, pp.149-179.
[31]. Navatte, P. and Villa, C. (2000) 'The information content of implied volatility, skewness and kurtosis: empirical evidence from long?term CAC 40 options', European Financial Management, Vol.6 No.1, pp.41-56.
[32]. NSE Market Pulse, (2016).NSE's official website.[online] Available at https://www.nseindia.com/products/content/derivatives/equities/archieve_fo.htm [Accessed 10 October 2016]
[33]. Pena, I., Rubio, G. and Serna, G. (1999) 'Why do we smile? On the determinants of the implied volatility function', Journal of Banking & Finance, Vol.23, No.8, pp.1151-1179.
[34]. Pena, I., Rubio, G. and Serna, G. (2001) 'Smiles, Bid?ask Spreads and Option Pricing', European Financial Management, Vol.7, No.3, pp.351-374.
[35]. Perignon, C. and Villa, C. (2002) 'Extracting Information from Options Markets: Smiles, State- Price Densities and Risk Aversion', European Financial Management, Vol.8, No.4, pp.495-513.
[36]. Poon, S.H. and Granger, C.W. (2003) 'Forecasting volatility in financial markets: A review', Journal of economic literature, Vol. 41, No.2, pp.478-539.
[37]. Poon, S.H. and Granger, C. W. (2005) 'Practical issues in forecasting volatility', Financial Analysts Journal, Vol. 61, No.1, pp.45-56.
[38]. Rajput, N. (2015) 'A study of options volatility smile: Empirical evidence from India', Global Journal of Enterprise Information System, Vol.7, No.3, pp.20-27.
[39]. 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, Vol.40 ,No.2, pp.455-480.
[40]. Rubinstein, M. (1994) 'Implied binomial trees', The Journal of Finance, Vol. 49, No.3, pp.771- 818.
[41]. Samsudin, N.I.M. and Mohamad, A. (2016) 'Implied Volatility Forecasting in the Options Market: A Survey', Sains Humanika, Vol.8, No.2, pp.9-18.
[42]. Schonbucher, P.J. (1999) 'A market model for stochastic implied volatility', Philosophical
[43]. Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol.357, No. 1758, pp.2071-2092.
[44]. Schwert, G.W. (1989) 'Business cycles, financial crises, and stock volatility', In CarnegieRochester Conference Series on Public Policy ,Vol. 31, pp. 83-125.
[45]. Sehgal, S. and Vijayakumar, N. (2008) 'Determinants of implied volatility function on the Nifty index options market: Evidence from India', Asian Academy of Management Journal of Accounting & Finance,Vol.4, No.1, pp.45-69.
[46]. Shaikh, I. and Padhi, P. (2014) 'Stylized patterns of implied volatility in India: a case study of NSE Nifty options', Journal of Indian Business Research, Vol.6, No.3, pp.231-254.
[47]. Singh, V.K. (2013) 'Empirical performance of option pricing models: Evidence from India', International Journal of Economics and Finance, Vol.5, No.2, pp.141-154.
[48]. Singh, V.K. and Pachori, P. (2013) 'A Kaleidoscopic Study of Pricing Performance of Stochastic Volatility Option Pricing Models: Evidence from Recent Indian Economic Turbulence', Vikalpa, Vol. 38, No.2, pp.61-80.
[49]. Stein, E.M. and Stein, J.C. (1991) 'Stock price distributions with stochastic volatility: an analytic approach', The review of financial studies, Vol. 4, No.4, pp.727-752.
[50]. Tanha, H. and Dempsey, M. (2015) 'Do Aussie markets smile? Implied volatility functions and determinants', Applied Economics, Vol. 47, No.30, pp.3143-3163.
[51]. Tompkins, R.G. (2001) 'Implied volatility surfaces: uncovering regularities for options on financial futures', The European Journal of Finance, Vol. 7, No.3, pp.198-230.
[52]. Tripathy, N., Rao, S.R. and Kanagaraj, A. (2009) 'Impact of derivatives trading on spot market volatility: an empirical study', International Journal of Applied Decision Sciences, Vol.2, No. 2, pp.209-232.
[53]. Turbeville, W. (2013) 'Derivatives Innovation in the Era of Financial Deregulation', Financial Pipeline Series.[online] Demos. Available at: http://www.demos.org/publication/derivatives-innovation-era-financial-deregulation [Accessed 15 Sep.2016]
[54]. Varma, J.R. (2002) 'Mispricing of volatility in the Indian index options market'. IIMA Working Paper. Ahmedabad, India.
[55]. Weinberg, S.A. (2001) 'Interpreting the volatility smile: an examination of the information content of option prices',
[56]. WFE Annual Statistics Guide, (2016), IOMA Derivatives Market Survey .[online] WFE. https://www.world-exchanges.org/home/index.php/statistics/annual-statistics [Accessed 15 Dec. 2016].

Abstract:
Volatility in financial markets has garnered the attention of researchers, practitioners, academicians and policy regulators. The reason for this widespread interest in stock market volatility can be attributed to the fact that changes in market volatility can have important effect on capital investment, consumption and other business cyclic variables (Schwert, 1989). Volatility serves as an indicator for the vulnerability of financial markets and the economy. Hence policy makers often rely on market estimates of volatility for policy framework. (Poon and Granger, 2003). In stock markets traders, investors and portfolio managers are apprehensive about the aberrant volatility in assets prices and expect for certainty in prices in order to anticipate future price movements before making investment decisions to realize possible gains. Volatility over a future period can be considered as risk and hence estimation of volatility is needed as a measure at present times (Engle, 2004). In order to express uncertainty in an economically meaningful way, the conventional mode of interpretation of uncertainty is in terms of volatility or the variance in historical returns of the assets (Koutmos, 2011).

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