Siddiqi, Hammad (2011): Thinking by analogy, systematic risk, and option prices.

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Abstract
People tend to think by analogies and comparisons. Such way of thinking, termed coarse thinking by Mullainathan et al [Quarterly Journal of Economics, May 2008] is intuitively very appealing. We develop a new option pricing model based on the idea that the market consists of coarse thinkers as well as rational investors when limits to arbitrage (transaction costs) prevent rational investors from profiting at the expense of coarse thinkers. The new formula, which is a closed form solution to the model, is a generalization of the BlackScholes formula. The new formula potentially provides a unified explanation for various implied volatility puzzles.
Item Type:  MPRA Paper 

Original Title:  Thinking by analogy, systematic risk, and option prices 
English Title:  Thinking by Analogy, Systematic Risk, and Option Prices 
Language:  English 
Keywords:  Coarse Thinking, Option Pricing, Implied Volatility, Implied Volatility Skew, Systematic Risk, Investor Sentiment, Implied Volatility Term Structure 
Subjects:  G  Financial Economics > G1  General Financial Markets > G12  Asset Pricing ; Trading Volume ; Bond Interest Rates G  Financial Economics > G1  General Financial Markets > G13  Contingent Pricing ; Futures Pricing 
Item ID:  31316 
Depositing User:  Hammad Siddiqi 
Date Deposited:  07. Jun 2011 16:18 
Last Modified:  12. Apr 2015 12:47 
References:  Amin, K., 1993. Jump diffusion option valuation in discrete time. Journal of Finance 48, 18331863. Babcock, L., & Loewenstein, G. (1997). “Explaining bargaining impasse: The role of selfserving biases”. Journal of Economic Perspectives, 11(1), 109–126. Babcock, L., Wang, X., & Loewenstein, G. (1996). “Choosing the wrong pond: Social comparisons in negotiations that reflect a selfserving bias”. The Quarterly Journal of Economics, 111(1), 1–19. Bakshi G., Cao, C., Chen, Z., 1997. Empirical performance of alternative option pricing models. Journal of Finance 52, 20032049. Ball, C., Torous, W., 1985. On jumps in common stock prices and their impact on call option pricing. Journal of Finance 40, 155173. Black, F., Scholes, M. (1973). “The pricing of options and corporate liabilities”. Journal of Political Economy 81(3): pp. 63765 Black, F., (1976), “Studies of stock price volatility changes. Proceedings of the 1976 Meetings of the American Statistical Association, Business and Economic Statistics Section, 177–181. Bollen, N., and R. Whaley. 2004. Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?Journal of Finance 59(2): 711–53 Bossaerts, P., Plott, C. (2004), “Basic Principles of Asset Pricing Theory: Evidence from Large Scale Experimental Financial Markets”. Review of Finance, 8, pp. 135169. Carpenter, G., Rashi G., & Nakamoto, K. (1994), “Meaningful Brands from Meaningless Differentiation: The Dependence on Irrelevant Attributes,” Journal of Marketing Research 31, pp. 339350 Christensen B. J., and Prabhala, N. R. (1998), “The Relation between Realized and Implied Volatility”, Journal of Financial Economics Vol.50, pp. 125150. Christie A. A. (1982), “The stochastic behavior of common stock variances: value, leverage and interest rate effects”, Journal of Financial Economics 10, 4 (1982), pp. 407–432 DeBondt, W. and Thaler, R. (1985). “Does the StockMarket Overreact?” Journal of Finance 40: 793805 Derman, E. (2003), “The Problem of the Volatility Smile”, talk at the Euronext Options Conference available at http://www.ederman.com/new/docs/euronextvolatility_smile.pdf Derman, E., Kani, I., & Zou, J. (1996), “The local volatility surface: unlocking the information in index option prices”, Financial Analysts Journal, 52, 4, 2536 Duan, JinChuan, and Wei Jason (2009), “Systematic Risk and the Price Structure of Individual Equity Options”, The Review of Financial studies, Vol. 22, No.5, pp. 19812006. Duan, J.C., 1995. The GARCH option pricing model. Mathematical Finance 5, 1332. Dumas, B., Fleming, J., Whaley, R., 1998. Implied volatility functions: empirical tests. Journal of Finance 53, 20592106. Edelman, G. (1992), Bright Air, Brilliant Fire: On the Matter of the Mind, New York, NY: BasicBooks. Fama, E.F., and French, K.R. (1988). “Permanent and Temporary Components of Stock Prices”. Journal of Political Economy 96: 247273 Fleming J., Ostdiek B. and Whaley R. E. (1995), “Predicting stock market volatility: a new measure”. Journal of Futures Markets 15 (1995), pp. 265–302. Han, B. (2008), “Investor Sentiment and Option Prices”, The Review of Financial Studies, 21(1), pp. 387414. Heston S., Nandi, S., 2000. A closedform GARCH option valuation model. Review of Financial Studies 13, 585625. Heston S., 1993. “A closed form solution for options with stochastic volatility with application to bond and currency options. Review of Financial Studies 6, 327343. Hogarth, R. M., & Einhorn, H. J. (1992). “Order effects in belief updating: The beliefadjustment model”. Cognitive Psychology, 24. Hull, J., White, A., 1987. The pricing of options on assets with stochastic volatilities. Journal of Finance 42, 281300. Kahneman, D., & Frederick, S. (2002). “Representativeness revisited: Attribute substitution in intuitive judgment”. In T. Gilovich, D. Griffin, & D. Kahneman (Eds.), Heuristics and biases (pp. 49–81). New York: Cambridge University Press. Kahneman, D., & Tversky, A. (1982), Judgment under Uncertainty: Heuristics and Biases, New York, NY: Cambridge University Press. Kluger, B., & Wyatt, S. (2004). “Are judgment errors reflected in market prices and allocations? Experimental evidence based on the Monty Hall problem”. Journal of Finance, pp. 969–997. Lakoff, G. (1987), Women, Fire, and Dangerous Things, Chicago, IL: The University of Chicago Press. Lettau, M., and S. Ludvigson (2010): Measuring and Modelling Variation in the RiskReturn Tradeoff" in Handbook of Financial Econometrics, ed. by Y. AitSahalia, and L. P. Hansen, chap. 11,pp. 617690. Elsevier Science B.V., Amsterdam, North Holland. Lustig, H., and A. Verdelhan (2010), “Business Cycle Variation in the RiskReturn Tradeoff". Working paper, UCLA. Melino A., Turnbull, S., 1990. Pricing foreign currency options with stochastic volatility. Journal of Econometrics 45, 239265 Mullainathan, S., Schwartzstein, J., & Shleifer, A. (2008) “Coarse Thinking and Persuasion”. The Quarterly Journal of Economics, Vol. 123, Issue 2 (05), pp. 577619. Poterba, J.M. and Summers, L.H. (1988). “Mean Reversion in Stock Prices: Evidence and Implications”. Journal of Financial Economics 22: 2759 Rendleman, R. (2002), Applied Derivatives: Options, Futures, and Swaps. WileyBlackwell. Rockenbach, B. (2004), “The Behavioral Relevance of Mental Accounting for the Pricing of Financial Options”. Journal of Economic Behavior and Organization, Vol. 53, pp. 513527. 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. Journal of Finance 40, 455480. Rubinstein, M., 1994. Implied binomial trees. Journal of Finance 49, 771818. Schwert W. G. (1989), “Why does stock market volatility change over time?” Journal of Finance 44, 5 (1989), pp. 28–6 Schwert W. G. (1990), “Stock volatility and the crash of 87”. Review of Financial Studies 3, 1 (1990), pp. 77–102 Siddiqi, H. (2009), “Is the Lure of Choice Reflected in Market Prices? Experimental Evidence based on the 4Door Monty Hall Problem”. Journal of Economic Psychology, April. Siddiqi, H. (2011), “Does Coarse Thinking Matter for Option Pricing? Evidence from an Experiment” (Forthcoming) IUP Journal of Behavioral Finance. Summers, L. H. (1986). “Does the StockMarket Rationally Reflect Fundamental Values?” Journal of Finance 41: 591601 Wiggins, J., 1987. Option values under stochastic volatility: theory and empirical estimates. Journal of Financial Economics 19, 351372. Zaltman, G. (1997), “Rethinking Market Research: Putting People Back In,” Journal of Marketing Research 34, pp. 424437. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/31316 