국가지식-학술정보
VALUATION OF EXCHANGE OPTION WITH STOCHASTIC LIQUIDITY RISK: A PROBABILISTIC APPROACH
VALUATION OF EXCHANGE OPTION WITH STOCHASTIC LIQUIDITY RISK: A PROBABILISTIC APPROACH
- 영남수학회
- East Asian mathematical journal
- Vol.41No.1
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2025.011 - 9 (9 pages)
- 0
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We investigate a probabilistic approach for the valuation of exchange option with stochastic liquidity risk. To measure market liquidity risk, Ornstein-Uhlenbeck (OU) process with the mean reversion feature is used. A liquidity discount factor is applied to the underlying assets to allow for possible effects. We derive the characteristic function using a probabilistic approach, and subsequently obtain the pricing formula for the option using the measure change technique and the Fourier inversion formula.
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