Option Pricing Formulas in a New Uncertain Mean-Reverting Stock Model with Floating Interest Rate

Author

Liu, Zhaopeng

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-11-04

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

Options play a very important role in the financial market, and option pricing has become one of the focus issues discussed by the scholars.

This paper proposes a new uncertain mean-reverting stock model with floating interest rate, where the interest rate is assumed to be the uncertain Cox-Ingersoll-Ross (CIR) model.

The European option and American option pricing formulas are derived via the α-path method.

In addition, some mathematical properties of the uncertain option pricing formulas are discussed.

Subsequently, several numerical examples are given to illustrate the effectiveness of the proposed model.

American Psychological Association (APA)

Liu, Zhaopeng. 2020. Option Pricing Formulas in a New Uncertain Mean-Reverting Stock Model with Floating Interest Rate. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152997

Modern Language Association (MLA)

Liu, Zhaopeng. Option Pricing Formulas in a New Uncertain Mean-Reverting Stock Model with Floating Interest Rate. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1152997

American Medical Association (AMA)

Liu, Zhaopeng. Option Pricing Formulas in a New Uncertain Mean-Reverting Stock Model with Floating Interest Rate. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152997

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1152997