Prediction of Stock Option Prices Using Volatility (Garch (1, 1)) Adjusted Black Scholes Option Pricing Model
Keywords:
Stock Option Pricing
, GARCH (1, 1), Black-Scholes Model, MAPE, MADC1
, C13, G12Paper Submission Date
, May 2, 2013, Paper sent back for Revision, June 22, Paper Acceptance Date, July 2, 2013.Abstract
This paper attempts to predict the option prices for the future date using the adjusted volatility to the traditional Black-Scholes option pricing model using GARCH (1, 1) in pricing the stock option contracts for the selected eight companies. The study uses the Black-Scholes model along with its basic parameters and the best known time series model GARCH (1, 1) for predicting volatility in order to estimate the future stock option contract prices. This helps in knowing how the prices of stocks would be in the near future. The study finally attempts to identify the pricing errors between the market price of the option contracts and the calculated option prices. This is done with the help of mean absolute percentage error and mean absolute deviation tools. The results of the study indicate that there was only a small difference between the calculated prices and the market price of the option contracts.Downloads
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Agarwal, R. K., Mukhtar, W., K., Nataraj, Agarwal, S., & Arora, R. (2010). Options mispricing in Indian derivatives markets: A mutiple models application framework. SSRN, Retrieved from http://ssrn.com/abstract=1537040
Black, F., & Scholes, M (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81 (3), 637-654.
Bollerslev, T. (1986). Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics, 31 , 307-327.
Dash, M., Dagha, J.H., Sharma, P., Singhal, P. (2009). GARCH models for forecasting volatility and determining arbitrage in options. SSRN, Retrieved from http://ssrn.com/abstract=1331459
Dash, M., Babu, N., & Kodagi, M. (2007). Speculation strategies using investment in options. Indian Journal of Finance, 1(4), 3 - 8.
Hsing, S. P. (2003). Comparison of hedging option positions of the GARCH(1, 1) and the Black-Scholes Model (Thesis), National Sun Yat-Sen University, Taiwan.
Hull, J., & White, A. (1987). The pricing of options on assets with stochastic volatilities. Journal of Finance, 42 (2), 281-300. DOI: 10.1111/j.1540-6261.1987.tb02568.x
Hulland, J. C., & Basu, S. (2007). Options, futures and other derivatives (pp. 487-501). New Delhi: Pearson Education Inc.
Kinlay, J. (2005). Forecasting and Trading Volatility in the S&P 500 Index - An Empirical Test of Options Market Efficiency. Retrieved from http://www.investment-analytics.com
Macbeth, D. J., & Merville, J. L. (1979). Tests of the Black-Scholes and Cox call option valuation models. Journal of Finance, 35 (2), 285-301. DOI: 10.1111/j.1540-6261.1980.tb02157.x
Misra, D., & Kannan, R. (2006). Implied volatility surfaces: A study of NSE nifty options. International Research Journal of Finance and Economics, 1 (6), 7-23.
Mundhra, N., & Agarwal, R. (2009). Mispricing in Indian derivatives markets: An analytical study of option contracts. SSRN, Retrieved from http://ssrn.com/abstract=1441900
Savitha, R., & Deepika, S. R. (2013). An empirical study on the behaviour of nifty index by examining the derivative contract. Indian Journal of Finance, 7 (6), 5-15.
Tripathi, V., & Gupta, S. (2010). Effectiveness of the skewness and kurtosis adjusted Black-Scholes model in pricing nifty call options. SSRN, Retrieved from http://ssrn.com/abstract=1956071
Varma, R. J. (2002). Mispricing of Volatility in the Index Options Market. Working Paper No. 2002-04-01, Indian Institute of Management, Ahmedabad.