scholarly journals Metode Enhanced Trinomial Pada Aproksimasi Numerik Pada Barrier Options Pricing

2021 ◽  
Vol 1 (1) ◽  
pp. 23-31
Author(s):  
Muhammmad Hasan Asnawi ◽  
Abdul Aziz

Barrier options pricing sering digunakan dalam jual beli saham karena memiliki harga yang lebih murah dari harga saham plain vanilla option. Dengan menggunakan metode trinomial, didapatkan tiga kemungkinan nilai pergerakan saham yaitu nilai saham naik, turun, dan tetap. Nilai parameter-parameter dari metode trinomial diperoleh dengan menentukan nilai peluang tetapnya . Selanjutnya dicari nilai peluang naik dan turunnya dengan menyamakan ekspektasi diskrit dengan kontinu dan menyamakan variansi diskrit dengan kontinu.Metode enhanced trinomial merupakan metode trinomial yang nilai sahamnya didekati menggunakan nilai upper dan lower barrier dengan rumus enhanced numerical. Sehingga didapatkan nilai opsi saham yang lebih kecil daripada metode trinomial standar. Oleh karena itu, dengan metode enhanced trinomial nilai opsi saham yang lebih cepat konvergen. hal ini dibuktikan dari simulasi yang telah dilakukan dalam penelitian ini

2017 ◽  
Vol 20 (06) ◽  
pp. 1750042
Author(s):  
PINGJIN DENG ◽  
XIUFANG LI

Barrier options are one of the most popular exotic options. In this contribution, we propose a performance barrier option, which is a type of barrier option defined with the [Formula: see text]th period logarithm return rate process on an underlying asset over the time interval [Formula: see text], [Formula: see text]. We show that the price of this performance barrier option is determined by the joint distribution of a Slepian process and its maximum. Furthermore, we derive a tractable formula for this joint distribution and obtain explicit formulas for the up-out-call performance option and up-out-put performance option.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 301
Author(s):  
Alessandra Aimi ◽  
Chiara Guardasoni

In this paper, we extend the SABO technique (Semi-Analytical method for Barrier Options), based on collocation Boundary Element Method (BEM), to the pricing of Barrier Options with payoff dependent on more than one asset. The efficiency and accuracy already revealed in the case of a single asset is confirmed by the presented numerical results.


2016 ◽  
Vol 10 (3) ◽  
pp. 65-70 ◽  
Author(s):  
Kazem Nouri ◽  
Behzad Abbasi ◽  
Farahnaz Omidi ◽  
Leila Torkzadeh

2009 ◽  
Vol 50 ◽  
Author(s):  
Rita Palivonaitė ◽  
Eimutis Valakevičius

In the article three methods of barrier option pricing are analysed and compared: Black–Scholes, trinomial ant adaptive mesh algorithm. Investigation with Lithuanian firm’s stock showed, that to get better results it is offered to adapt higer resolution mesh on critical regions of trinomial tree.


1999 ◽  
Vol 3 (1) ◽  
pp. 41-67 ◽  
Author(s):  
R Zvan ◽  
P Forsyth ◽  
K Vetzal
Keyword(s):  

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