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An IMEX-based Approach For The Pricing Of Equity Warrants Under Fractional Brownian Motion Models

In this paper, the pricing of equity warrants under a class of fractional Brownian motion models is investigated numerically. By establishing a new nonlinear partial differential equation (PDE) system governing the price in terms of the observable stock price, we solve the pricing system effectively by a robust implicit-explicit numerical method. This is fundamentally different from the documented methods, which first solve the price with respect to the firm value analytically, by assuming that the volatility of the firm is constant, and then compute the price with respect to the stock price and estimate the firm volatility numerically. It is shown that the proposed method is stable in the maximum-norm sense. Furthermore, a sharp theoretical error estimate for the current method is provided, which is also verified numerically. Numerical examples suggest that the current method is efficient and can produce results that are, overall, closer to real market prices than other existing approaches. A great advantage of the current method is that it can be extended easily to price equity warrants under other complicated models.

Ketersediaan

Informasi Detail

Judul Seri

THE ANZIAM JOURNAL; Vol.64 Issue 4 October 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 380-393

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

ERROR ANALYSIS
NONLINEAR PDE
EQUITY WARRANTS
GMFBM MODEL
IMEX METHOD
UPWIND SCHEME

Info Detail Spesifik

DOI: https://doi.org/10.1017/S1446181123000159

Pernyataan Tanggungjawab

Wenting Chen, Xiaoying Jiang

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