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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.
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Source :
INTERNATIONAL REVIEW OF FINANCIAL ANALYSIS
ISSN: 1057-5219
Year: 2025
Volume: 103
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SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
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Chinese Cited Count:
30 Days PV: 7
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