Tighter Option Bounds from Multiple Exercise Prices
Tóm tắt
Optionbounds are determined by state discount factors limited by prices of a riskless bond and the underlying asset. Usually the asset has at least two market-traded options for each maturity, further limiting the factors. Tighter bounds result from incorporating the prices of all existing options of the same maturity. The tightened bounds are particularly applicable to appraising the consistency of all options trading on a single underlying security, notably index options. Constructed examples indicate a potential improvement of eighty percent in bound width; index data reveals a lower reduction, but extensive arbitrage opportunities from violations of the tighter bounds.
Tài liệu tham khảo
Bensaid, B., J. Lesne, H. Pages, and J. Scheinkmann. (1992). “Derivative Asset Pricing with Transaction Costs,” Mathematical Finance 2(2), 63–86.
Bertsimas, D., L. Kogan, and A. W. Lo. (1997). “Pricing and Hedging Derivative Securities in Incomplete Markets: An ∈-Arbitrage Approach,” NBER working paper 6250, (60 pp.).
Black, F. and M. Scholes. (1973). “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy 81, 637–59.
Boyle, P. and T. Vorst. (1992). “Option Bounds in Discrete Time with Transaction Costs,” Journal of Finance 47(1), 271–93.
Cochrane J. H. and J. Saá-Requejo. (1998). “Beyond Arbitrage: ‘Good-Deal’ Asset Price Bounds in Incomplete Markets,” University of Chicago working paper (61 pp.).
Cox, J. C., S. Ross, and M. Rubinstein. (1979). “Option Pricing: A Simplified Approach,” Journal of Financial Economics 7(1), 229–63.
Edirisinghe, C., V. Naik, and R. Uppal. (1992). “Optimal Replacement of Options with Transactions Costs and Trading Restrictions,” Journal of Financial and Quantitative Analysis 27, 141–83.
Garman, M. (1976). “An Algebra for Evaluating Hedge Portfolios,” Journal of Financial Economics 3, 403–28.
Hansen, L. P. and R. Jagannathan. (1991). “Implications of Security Market Data for Models of Dynamic Economies,” Journal of Political Economy 99(2), 225–262.
Harrison, M. and D. Kreps. (1979). “Martingales and Arbitrage in Multiperiod Securities Markets,” Journal of Economic Theory 20, 381–408.
Jackwerth, J. C. and M. Rubinstein. (1996). “Recovering Probabliity Distributions from Option Prices,” Journal of Finance 51(5), 1611–31.
Leland, H. (1985). “Option Pricing and Replication withTransaction Costs,” Journal ofFinance 40(5), 1283–1301.
Masson, J. and S. Perrakis. (2000). “Option Bounds and the Pricing of theVolatility Smile,” Review of Derivations Research 4, 29–53.
Merton, R. (1989). “On the Application of the Continuous-Time Theory of Finance to Financial Intermediation and Insurance,” The Geneva Papers on Risk and Insurance 14(52), 225–61.
Merton, R. (1973). “The Theory of Rational Option Pricing,” Bell Journal of Economics and Management Science 4, 141–83.
Perrakis, S. (1986). “Options Bounds in Discrete Time: Extensions and the Pricing of the American Put,” Journal of Business 59(1), 119–42.
Perrakis, S. (1988). “Preference-Free Option Prices When the Stock Returns Can Go Up, Go Down, or Stay the Same,” Advances in Future and Options Research 3, 209–35.
Perrakis, S. and P. J. Ryan. (1984). “Option Pricing Bounds in Discrete Time,” Journal of Finance 39(2), 519–27.
Ritchken, P. (1985). “On Option Pricing Bounds,” Journal of Finance 40(4), 1219–33.
Ritchken, P. and S. Kuo. (1988). “Option Bounds with Finite Revision Opportunities,” Journal of Finance 43(2), 301–8.
Ritchken, P. and S. Kuo. (1989). “On Stochastic Dominance and Decreasing Absolute Risk Averse Option Pricing Bounds,” Management Science 35(1), 51–9.
Rubinstein, M. (1976). “The Valuation of Uncertain Income Streams and the Pricing of Options,” Bell Journal of Economics and Management Science 7, 407–25.
Rubinstein, M. (1994). “Implied Binomial Trees,” Journal of Finance 49(3), 771–818.
Sun, Weimin. (1998). “Empirical Assessment of Ryan and Ritchken Bound Theories,” University of Ottawa.