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The Accelerated Binomial Option Pricing Model

Richard Breen

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Abstract

The Accelerated Binonial Option Pricing Model This paper describes the application of a convergence acceleration technique to the binomial option priring m(~del~ in the cQntext of the valuati¢)n 6f the Ameri~:an put optic~n c)n non-dividend paying stock.The resulting model, termed the accelerated binonial c)pti()n pric:ing model, can also be viewed as an approximatio.nto the Geske-Johnson model for the value of the Ameri(?an put.The new model is a~:Jc:urate and faster than the c:~.]nventional binomial model.It is alscl likely to prove muc'.h more c:omputationally convenient than the Geske-Johnson model.It is applicable to a wi~Je range of opticln pricing problems.

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The Accelerated Binonial Option Pricing Model This paper describes the application of a convergence acceleration technique to the binomial option priring m(~del~ in the cQntext of the valuati¢)n 6f the Ameri~:an put optic~n c)n non-dividend paying stock.The resulting model, termed the accelerated binonial c)pti()n pric:ing model, can also be viewed as an approximatio.nto the Geske-Johnson model for the value of the Ameri(?an put.The new model is a~:Jc:urate and faster than the c:~.]nventional binomial model.It is alscl likely to prove muc'.h more c:omputationally convenient than the Geske-Johnson model.It is applicable to a wi~Je range of opticln pricing problems.

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Available abstract

The Accelerated Binonial Option Pricing Model This paper describes the application of a convergence acceleration technique to the binomial option priring m(~del~ in the cQntext of the valuati¢)n 6f the Ameri~:an put optic~n c)n non-dividend paying stock.The resulting model, termed the accelerated binonial c)pti()n pric:ing model, can also be viewed as an approximatio.nto the Geske-Johnson model for the value of the Ameri(?an put.The new model is a~:Jc:urate and faster than the c:~.]nventional binomial model.It is alscl likely to prove muc'.h more c:omputationally convenient than the Geske-Johnson model.It is applicable to a wi~Je range of opticln pricing problems.

Key concepts: Binomial options pricing model, Trinomial tree, Finite difference methods for option pricing, Binomial (polynomial), Valuation of options, Range (aeronautics), Monte Carlo methods for option pricing, Econometrics

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