Fractional Brownian Motion; Geometric Asian Options; Closed-Form Solution; Risk-Free Rate - Articles

Evaluation of Geometric Asian Power Options under Fractional Brownian Motion (Articles)

Zhijuan Mao, Zhian Liang

Journal of Mathematical Finance Vol.4 No.1, December 25, 2013

DOI: 10.4236/jmf.2014.41001 5,729 Downloads 9,644 Views Citations
This article belongs to the Special Issue on Option Pricing Research
The Asian Option Pricing when Discrete Dividends Follow a Markov-Modulated Model (Articles)

Yingyi Fang, Huisheng Shu, Xiu Kan, Xin Zhang, Zhiwei Zheng

Open Journal of Statistics Vol.7 No.6, December 29, 2017

DOI: 10.4236/ojs.2017.76074 1,138 Downloads 3,243 Views Citations
One Dimensional Random Motion on Segment with Reflecting Edges and Dependent Increments (Articles)

Gurami Tsitsiashvili

Journal of Applied Mathematics and Physics Vol.6 No.3, March 15, 2018

DOI: 10.4236/jamp.2018.63045 673 Downloads 1,368 Views Citations
Is the Driving Force of a Continuous Process a Brownian Motion or Fractional Brownian Motion? (Articles)

Xinbing Kong, Bingyi Jing, Cuixia Li

Journal of Mathematical Finance Vol.3 No.4, November 15, 2013

DOI: 10.4236/jmf.2013.34048 3,319 Downloads 6,032 Views Citations
On the Closed-Form Solution to the Endogenous Growth Model with Habit Formation (Articles)

Ryoji Hiraguchi

Theoretical Economics Letters Vol.2 No.4, November 1, 2012

DOI: 10.4236/tel.2012.24064 3,925 Downloads 7,225 Views Citations
Financial Modeling with Geometric Brownian Motion (Articles)

Chelsea Peng, Colette Simon

Open Journal of Business and Management Vol.12 No.2, March 28, 2024

DOI: 10.4236/ojbm.2024.122065 479 Downloads 4,175 Views Citations
Review of Asian Options (Articles)

Jiaying Han, Yicheng Hong

Open Access Library Journal Vol.9 No.2, February 15, 2022

DOI: 10.4236/oalib.1108358 300 Downloads 2,840 Views Citations
Geometric Fractional Brownian Motion Perturbed by Fractional Ornstein-Uhlenbeck Process and Application on KLCI Option Pricing (Articles)

Mohammed Alhagyan, Masnita Misiran, Zurni Omar

Open Access Library Journal Vol.3 No.8, August 19, 2016

DOI: 10.4236/oalib.1102863 1,613 Downloads 3,239 Views Citations
Strong Local Non-Determinism of Sub-Fractional Brownian Motion (Articles)

Nana Luan

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613194 3,361 Downloads 4,653 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Macroscopic anisotropic Brownian motion is related to the directional movement of a “Universe field” (Articles)

Jiapei Dai

Natural Science Vol.6 No.2, February 19, 2014

DOI: 10.4236/ns.2014.62009 5,124 Downloads 7,023 Views Citations
On the Reflected Geometric Brownian Motion with Two Barriers (Articles)

Lidong Zhang, Ziping Du

Intelligent Information Management Vol.2 No.4, May 7, 2010

DOI: 10.4236/iim.2010.23034 6,367 Downloads 11,242 Views Citations
Analysis of Hedging Profits Under Two Stock Pricing Models (Articles)

Lingyan Cao, Zheng-Feng Guo

Journal of Mathematical Finance Vol.1 No.3, November 8, 2011

DOI: 10.4236/jmf.2011.13015 4,769 Downloads 9,321 Views Citations
Energy Portfolio Management with Entry Decisions over an Infinite Horizon (Articles)

Zhen Liu

Applied Mathematics Vol.3 No.7, June 21, 2012

DOI: 10.4236/am.2012.37113 4,408 Downloads 7,121 Views Citations
Valuation of European and American Options under Variance Gamma Process (Articles)

Ferry Jaya Permana, Dharma Lesmono, Erwinna Chendra

Journal of Applied Mathematics and Physics Vol.2 No.11, October 28, 2014

DOI: 10.4236/jamp.2014.211114 3,957 Downloads 5,368 Views Citations
Pricing European Option When the Stock Price Process Is Being Driven by Geometric Brownian Motion (Articles)

Kebareng I. Moalosi-Court

Open Access Library Journal Vol.6 No.8, August 2, 2019

DOI: 10.4236/oalib.1105568 310 Downloads 1,342 Views Citations
Mixed Fractional Merton Model to Evaluate European Options with Transaction Costs (Articles)

Foad Shokrollahi

Journal of Mathematical Finance Vol.8 No.4, November 7, 2018

DOI: 10.4236/jmf.2018.84040 1,049 Downloads 2,188 Views Citations
Perpetual American Call Option under Fractional Brownian Motion Model (Articles)

Atsuo Suzuki

Journal of Mathematical Finance Vol.13 No.2, May 31, 2023

DOI: 10.4236/jmf.2023.132014 230 Downloads 902 Views Citations
This article belongs to the Special Issue on Pricing Strategy and Theory
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm (Articles)

Jingqi Han, Litan Yan

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64078 885 Downloads 2,004 Views Citations
Equivalent Martingale Measure in Asian Geometric Average Option Pricing (Articles)

Yonggang Zhu

Journal of Mathematical Finance Vol.4 No.4, August 28, 2014

DOI: 10.4236/jmf.2014.44027 5,088 Downloads 6,303 Views Citations
Solution of Stochastic Non-Homogeneous Linear First-Order Difference Equations (Articles)

Seifedine Kadry, Abdelkhalak El Hami

Journal of Mathematical Finance Vol.4 No.4, August 18, 2014

DOI: 10.4236/jmf.2014.44021 3,471 Downloads 4,814 Views Citations

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