A Closed‐Form Formula for Pricing European Options With Stochastic Volatility, Regime Switching, and Stochastic Market Liquidity
This paper analyzes European option pricing under stochastic volatility fluctuations driven by economic cycles and market liquidity risk factors.
What it examines
In this paper, the authors present a European option pricing model featuring stochastic volatility influenced by economic cycles and market liquidity risk. They use regime-switching techniques and quantitative finance methods to improve pricing accuracy under realistic market conditions.
What it concludes
The findings show that accounting for stochastic volatility and liquidity risk linked to economic cycles enhances option pricing. This approach can benefit risk management and derivative pricing, guiding traders and prompting future research to refine models that better capture dynamic market conditions.
Evidence objects
Researchers introduce an innovative regime-switching model that integrates cyclical stochastic volatility and market liquidity risk, fundamentally transforming European option pricing and yielding unexpected price behavior relative to traditional Black-Scholes predictions.
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Utilizing Monte Carlo simulations and rigorous statistical analysis, researchers precisely quantify regime transitions triggered by abrupt economic shifts, while introducing novel terms clarifying the interrelation between volatility and liquidity risks.
key_findings bullet 2 · key_findings · validation V0
Findings illustrate that ignoring liquidity risk results in significant mispricing; the proposed model enhances hedging strategies and financial mathematics, yet limited empirical validation may hamper practical application, spurring further research.
key_findings bullet 3 · key_findings · validation V0
Paper uniquely introduces a novel closedform framework for European option pricing by deriving solution $C(S,\sigma,L)$ from regime-switching volatility and market liquidity. Its originality stems from integrating liquidity risk into established models, offering analytic clarity. This approach effectively addresses derivative modeling challenges with an innovative multifactor extension for real-world economic environments.
key_findings bullet 4 · key_findings · validation V0
Raw abstract and provenance
We consider European option pricing when the volatility of the underlying stock is stochastic and affected by economic cycles. We further assume that market liquidity risks have a …
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