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Option Prices Models

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Abstract

Option prices models refer to the overall collection of quantitative techniques to value an option given the dynamics of the underlying asset. Option prices models can be classified into European-style versus American-style models, into closed-form versus numerical expressions and into discrete versus continuous time approaches.

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References

  • Amin KI, Jarrow RA (1991) Pricing foreign currency options under stochastic interest rates. J Int Money Financ 10(3):310–329

    Article  Google Scholar 

  • Barone-Adesi G, Whaley R (1987) Efficient analytic approximation of American option values. J Financ 42:301–320

    Article  Google Scholar 

  • Black F (1975) Facts and fantasy in the use of options. Financ Anal J 31(4):36–41, 61–72

    Article  Google Scholar 

  • Black F (1976) The pricing of commodity contracts. J Financ Econ 3(1):167–179

    Article  Google Scholar 

  • Black F, Scholes M (1973) The pricing of options and corporate liabilities. J Polit Econ 81:637–659

    Article  Google Scholar 

  • Brennan M, Schwartz E (1977) The valuation of American put options. J Financ 32:449–462

    Article  Google Scholar 

  • Brennan M, Schwartz E (1978) Finite difference methods and jump processes arising in the pricing of contingent claims: a synthesis. J Financ Quant Anal 13:461–474

    Article  Google Scholar 

  • Broadie M, Glasserman P (1997) Pricing American-style securities using simulation. J Econ Dyn Control 21:1323–1352

    Article  Google Scholar 

  • Cassimon D, Engelen PJ, Thomassen L, Van Wouwe M (2004) Valuing new drug applications using n-fold compound options. Res Policy 33:41–51

    Article  Google Scholar 

  • Cassimon D, Engelen PJ, Thomassen L, Van Wouwe M (2007) Closed-form valuation of American call-options with multiple dividends using n-fold compound option models. Financ Res Lett 4:33–48

    Article  Google Scholar 

  • Chance DM (1986) Empirical tests of the pricing of index call options. Adv Futur Options Res 1(Part A):141–166

    Google Scholar 

  • Cox JC, Ross SA, Rubinstein M (1979) Option pricing: a simplified approach. J Financ Econ 7(3):229–263

    Article  Google Scholar 

  • Crosbie P, Bohn J (2003) Modeling default risk, white paper. Moody’s KMV, USA

    Google Scholar 

  • Garman MB, Kohlhagen SW (1983) Foreign currency option values. J Int Money Financ 2(3):231–237

    Article  Google Scholar 

  • Geske R (1979a) A note on an analytic valuation formula for unprotected American call options on stocks with known dividends. J Financ Econ 7:375–380

    Article  Google Scholar 

  • Geske R (1979b) The valuation of compound options. J Financ Econ 7:63–81

    Article  Google Scholar 

  • Hilliard JE, Reis J (1998) Valuation of commodity futures and options under stochastic convenience yields, interest rates, and jump diffusions in the spot. J Financ Quant Anal 33(01):61–86

    Article  Google Scholar 

  • Ho T, Lee S (1986) Term structure movements and pricing interest rate contingent claims. J Financ 41(4):1011–1029

    Article  Google Scholar 

  • Kamrad B, Ritchken P (1991) Multinomial approximating models for options with k state variables. Manag Sci 37:1640–1652

    Article  Google Scholar 

  • Li Y, Engelen PJ, Kool C (2013) A barrier options approach to modeling project failure: the case of hydrogen fuel infrastructure, Tjalling C. Koopmans Research Institute Discussion Paper Series 13–01, 34p

    Google Scholar 

  • Longstaff F, Schwartz E (2001) Valuing American options by simulation: a simple least-squares approach. Rev Financ Stud 14:113–147

    Article  Google Scholar 

  • MacMillan L (1986) Analytic approximation for the American put option. Adv Futur Options Res 1:119–139

    Google Scholar 

  • Merton R (1973) Theory of rational option pricing. Bell J Econ Manag Sci 4(1):141–183

    Google Scholar 

  • Merton RC (1974) On the pricing of corporate debt: the risk structure of interest rates. J Financ 29(2):449–470

    Google Scholar 

  • Merton RC (1976) Option pricing when underlying stock returns are discontinuous. J Financ Econ 3(1):125–144

    Article  Google Scholar 

  • Moreno M, Navas J (2003) On the robustness of least-squares Monte Carlo (LSM) for pricing American derivatives. Rev Deriv Res 6:107–128

    Article  Google Scholar 

  • Ramaswamy K, Sundaresan SM (1985) The valuation of options on futures contracts. J Financ 40(5):1319–1340

    Article  Google Scholar 

  • Roll R (1977) An analytic formula for unprotected American call options on stocks with known dividends. J Financ Econ 5:251–258

    Article  Google Scholar 

  • Schaefer SM, Schwartz ES (1987) Time-dependent variance and the pricing of bond options. J Financ 42(5):1113–1128

    Article  Google Scholar 

  • Whaley R (1981) On the valuation of American call options on stocks with known dividends. J Financ Econ 9:207–211

    Article  Google Scholar 

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Correspondence to Peter-Jan Engelen .

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Engelen, PJ., Cassimon, D. (2016). Option Prices Models. In: Marciano, A., Ramello, G. (eds) Encyclopedia of Law and Economics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7883-6_356-1

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  • DOI: https://doi.org/10.1007/978-1-4614-7883-6_356-1

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