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Erscheinungsjahr: 
2024
Quellenangabe: 
[Journal:] Journal of Derivatives and Quantitative Studies: Seonmul yeon'gu (JDQS) [ISSN:] 2713-6647 [Volume:] 32 [Issue:] 2 [Year:] 2024 [Pages:] 86-115
Verlag: 
Emerald, Leeds
Zusammenfassung: 
We present an approach for pricing American put options with a regime-switching volatility. Our method reveals that the option price can be expressed as the sum of two components: the price of a European put option and the premium associated with the early exercise privilege. Our analysis demonstrates that, under these conditions, the perpetual put option consistently commands a higher price during periods of high volatility compared to those of low volatility. Moreover, we establish that the optimal exercise boundary is lower in highvolatility regimes than in low-volatility regimes. Additionally, we develop an analytical framework to describe American puts with an Erlang-distributed random-time horizon, which allows us to propose a numerical technique for approximating the value of American puts with finite expiry. We also show that a combined approach involving randomization and Richardson extrapolation can be a robust numerical algorithm for estimating American put prices with finite expiry.
Schlagwörter: 
Derivative pricing
American option
Regime switch
Stochastic volatility
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