Simplified Approach to Valuation of Vulnerable Exchange Option under a Reduced-Form Model
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In this paper, we investigate the valuation of vulnerable exchange option that has credit risk of option issuer. The reduced-form model is used to model credit risk. We assume that credit event is determined by the jump of the counting process with stochastic intensity, which follows the mean reverting process. We propose a simple approach to derive the closed-form pricing formula of vulnerable exchange option under the reduced-form model and provide the pricing formula as the standard normal cumulative function.
Abstract
In this paper, we investigate the valuation of vulnerable exchange option that has credit risk of option issuer. The reduced-form model is used to model credit risk. We assume that credit event is determined by the jump of the counting process with stochastic intensity, which follows the mean reverting process. We propose a simple approach to derive the closed-form pricing formula of vulnerable exchange option under the reduced-form model and provide the pricing formula as the standard normal cumulative function.
참고문헌 (10)
- F. Antonelli, "Exchange option pricing under stochastic volatility : a correlation expansion", Rev. Deriv. Res, 13(1), pp.45~73 (2010)
- G. H. L. Cheang, "Exchange options under jump-Diffusion dynamics", Appl. Math. Financ, 18(3), pp.245~276 (2011)
- F. A. Fard, "Analytical pricing of vulnerable options under a generalized jumpdiffusion model", Insur. Math. Econ, 60, pp.19~28 (2015)
- H. Geman, "Changes of Nume´raire, Changes of Probability Measure and Option Pricing", J. Appl. Probab, 32(2), pp.443~458 (1995)
- G. Kim, "Closed-form pricing formula for exchange option with credit risk", Chaos Soliton Fract, 91, pp.221~227 (2016)
- 김건우, "A Probabilistic Approach for Valuing Exchange Option with Default Risk", East Asian Mathematical Journal, 36(1), pp.55~60 (2020), 영남수학회
- J. -H. Kim, "A multiscale extension of the Margrabe formula under stochastic volatility", Chaos Soliton Fract, 97, pp.59~65 (2017)
- P. Klein, "Pricing Black-Scholes options with correlated credit risk", J. Bank. Financ, 50, pp.1211~1229 (1996)
- D. Lando, "On Cox processes and credit risky securities", Rev. Deriv. Res, 2, pp.99~120 (1998)
- W. Margrabe, "The value of an option to exchange one asset for another", J. Financ, 33(1), pp.177~186 (1978)