Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Hideharu Funahashi"'
Autor:
Hideharu Funahashi, Masaaki Kijima
Publikováno v:
Fractal and Fractional, Vol 1, Iss 1, p 14 (2017)
In the option pricing literature, it is well known that (i) the decrease in the smile amplitude is much slower than the standard stochastic volatility models and (ii) the term structure of the at-the-money volatility skew is approximated by a power-l
Externí odkaz:
https://doaj.org/article/c5e2e44010514a7c89972ef0fa9ec857
Autor:
Hideharu Funahashi
Publikováno v:
Quantitative Finance. 23:229-249
Autor:
Hideharu Funahashi
Publikováno v:
Quantitative Finance. 21:575-592
This paper proposes a mixed approach of asymptotic expansion (AE) and artificial neural network (ANN) methods for option pricing in order to improve computational speed, stability, and approximatio...
Autor:
Hideharu Funahashi
Publikováno v:
The Journal of Derivatives. 27:30-50
This article provides an analytical approximation formula for a swaption price when the instantaneous forward rate follows a Heath-Jarrow-Morton (HJM) model. Our approximation strategy, based on the chaos expansion approximation, is to replicate the
Autor:
Tomohide Higuchi, Hideharu Funahashi
Publikováno v:
Annals of Operations Research. 266:129-157
The aim of this paper is to derive an approximation formula for a single barrier option under local volatility models, stochastic volatility models, and their hybrids, which are widely used in practice. The basic idea of our approximation is to mimic
Autor:
Hideharu Funahashi, Ken Uzawa
Publikováno v:
SSRN Electronic Journal.
Autor:
Hideharu Funahashi
Publikováno v:
SSRN Electronic Journal.
This paper proposes an efficient method for calculating European option prices under local, stochastic, and fractional volatility models. Instead of directly calculating the density function of a target underlying asset, we replicate it from a simple
Autor:
Hideharu Funahashi, Masaaki Kijima
Publikováno v:
Annals of Finance. 13:55-74
This study examines the effect of fractional volatility on option prices. To this end, we develop an approximation method for the pricing of European-style contingent claims when volatility follows a fractional Brownian motion. Through extensive nume
Autor:
Hideharu Funahashi, Masaaki Kijima
Publikováno v:
Quantitative Finance. 16:867-886
This paper considers a single barrier option under a local volatility model and shows that any down-and-in option can be priced by a combination of three standard European options whose volatility functions are connected through symmetrization. The s
Autor:
Masaaki Kijima, Hideharu Funahashi
Publikováno v:
The Journal of Computational Finance. 18:27-58
In this paper, we propose an approximation method based on the Wiener–Ito chaos expansion for the pricing of European-style contingent claims. Our method is applicable to the general class of continuous Markov processes. The resulting approximation