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Author:

He, Xin-Jiang (He, Xin-Jiang.) | Wei, Wenting (Wei, Wenting.) | Lin, Sha (Lin, Sha.)

Indexed by:

SSCI Scopus

Abstract:

We propose a new framework for pricing exchange options, modeling two underlying assets of no liquidity issues with Heston stochastic volatility models adjusted for regime-switching long-run variance levels to capture economic cycles. Market liquidity, a stochastic factor affecting asset prices, is incorporated, leading to a discount in asset values. We then apply a regime-switching Esscher transform to establish a risk-neutral measure and analytically solve the partial differential equation for exchange option prices using dimension reduction and the Feynman-Kac theorem. This allows for numerical analysis of the market features' impact on exchange option prices.

Keyword:

Regime switching Heston model Exchange options Stochastic liquidity Analytical formula

Author Community:

  • [ 1 ] [He, Xin-Jiang]Zhejiang Univ Technol, Sch Econ, Hangzhou, Peoples R China
  • [ 2 ] [He, Xin-Jiang]Zhejiang Univ Technol, Inst Ind Syst Modernizat, Hangzhou, Peoples R China
  • [ 3 ] [Wei, Wenting]Beijing Univ Technol, Beijing Dublin Int Coll, Beijing, Peoples R China
  • [ 4 ] [He, Xin-Jiang]Zhejiang Gongshang Univ, Sch Finance, Hangzhou, Peoples R China
  • [ 5 ] [Lin, Sha]Zhejiang Gongshang Univ, Sch Finance, Hangzhou, Peoples R China
  • [ 6 ] [Lin, Sha]Zhejiang Gongshang Univ, Sch Tailong Finance, Hangzhou, Peoples R China

Reprint Author's Address:

  • [He, Xin-Jiang]Zhejiang Gongshang Univ, Sch Finance, Hangzhou, Peoples R China;;[Lin, Sha]Zhejiang Gongshang Univ, Sch Finance, Hangzhou, Peoples R China

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Source :

INTERNATIONAL REVIEW OF FINANCIAL ANALYSIS

ISSN: 1057-5219

Year: 2025

Volume: 103

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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