a study of american options under stochastic volatility and double exponential jumps

In this study, we introduce and validate a novel approach for pricing american-style options. our model integrates stochastic volatility with a double exponential jump-diffusion process and incorporates a memory feature in the volatility component. we analyze the structure of the proposed model and demonstrate its accuracy and precision using real data from the s&p 500 index. our results show that the model effectively captures market dynamics and provides a more accurate pricing of american options compared to traditional models.