Hideharu Funahashi

Kanagawa University

Professor

Japan

Kanagawa University

Kanagawa-ku, Yokohama City 221-8686

JAPAN

SCHOLARLY PAPERS

11

DOWNLOADS

178

SSRN CITATIONS

0

CROSSREF CITATIONS

2

Scholarly Papers (11)

1.

Deep Learning for Derivatives Pricing: A Comparative Study of Asymptotic and Quasi-process Corrections

Number of pages: 38 Posted: 28 Aug 2023
Hideharu Funahashi
Kanagawa University
Downloads 176 (310,608)

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Artificial neural network, derivatives, local and stochastic volatility model, asymptotic expansion, Monte Carlo simulation, stochastic differential equation

A Chaos Expansion Approach for the Pricing of Contingent Claims

Journal of Computational Finance, Vol. 18, No. 3, Pages 27–58, 2015
Number of pages: 32 Posted: 15 Jun 2016
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Tokyo Metropolitan University
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Wiener–Ito Chaos Expansion, Hermite Polynomial, Successive Substitution, Diffusion Process, European Option

A Chaos Expansion Approach for the Pricing of Contingent Claims

Journal of Computational Finance,Volume 18, Issue 3, 1-31
Posted: 01 Dec 2013 Last Revised: 03 Aug 2015
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Kyoto University - Graduate School of Economics

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Wiener-Ito chaos expansion, Hermite polynomial, successive substitution, diffusion

3.

Artificial Neural Network for Option Pricing with and Without Asymptotic Correction

Quantitative Finance, 2021, 21(4), 575-592
Posted: 10 Oct 2019 Last Revised: 06 Jan 2023
Hideharu Funahashi and Ken Uzawa
Kanagawa University and Mizuho Securities

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artificial neural network,Wiener-Ito chaos expansion, option pricing, stochastic volatility model, mean-reverting process, implied volatility, European option, barrier option

4.

Replication Scheme for the Pricing of European Options

Posted: 10 Mar 2019 Last Revised: 05 Jan 2023
Hideharu Funahashi
Kanagawa University

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Local volatility model, stochastic volatility model, fractional volatlity model, chaos expansion, density matching, calibration

5.

A Solution to the Time-Scale Fractional Puzzle in the Implied Volatility with Rough Market Price of Volatility Risk

Posted: 04 May 2017 Last Revised: 04 Jan 2023
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Tokyo Metropolitan University

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6.

Does the Hurst Index Matter for Option Prices Under Fractional Volatility?

Annals of Finance volume 13, pages 55–74 (2017)
Posted: 04 Jan 2017 Last Revised: 09 Jan 2023
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Tokyo Metropolitan University

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Fractional Brownian motion; Hurst index; Stochastic volatility; Mean-reverting process; Implied volatility

7.

Pricing Derivatives with Fractional Volatility

International Journal of Financial Engineering, 2017, 4(1), p1-28
Posted: 09 Jun 2016 Last Revised: 03 May 2017
Hideharu Funahashi
Kanagawa University

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Asian Option; Fractional Brownian motion; Stochastic volatility model; Meanreverting.

8.

An Analytical Approximation for Pricing VWAP Options

Quantitative Finance, Forthcoming
Posted: 09 Apr 2015 Last Revised: 21 Mar 2019
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Kyoto University - Graduate School of Economics

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Average option; VWAP option; Local volatility model; Mean-reverting process

9.

An Analytical Approximation for European Option Prices Under Stochastic Interest Rate Economy

International Journal of Theoretical and Applied Finance, Volume 18, Issue 04, June 2015
Posted: 24 Mar 2014 Last Revised: 31 Jul 2015
Hideharu Funahashi
Kanagawa University

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10.

An Extension of the Chaos Expansion Approximation for the Pricing of Exotic Basket Options

Applied Mathematical Finance, Volume 21, Issue 2, 2014
Posted: 01 Dec 2013 Last Revised: 11 Apr 2014
Hideharu Funahashi and Masaaki Kijima
Kanagawa University and Kyoto University - Graduate School of Economics

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Wiener-Ito chaos expansion, local volatility, average option, basket option, spread option, Asian basket option

11.

A Chaos Expansion Approach Under Hybrid Volatility Models

Quantitative Finance, Volume 14, Issue 11, 2014
Posted: 09 Sep 2012 Last Revised: 13 Oct 2014
Hideharu Funahashi
Kanagawa University

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Hybrid stochastic and local volatility model, Wiener-Ito Chaos expansion, Hermite polynomial, Successive substitution, Smile and skew, Black-Scholes model