In this article, we introduce two new six-parameter processes based on time-changing tempered stable distributions and develop an option pricing model based on these processes. This model provides a good fit to observed option prices. To demonstrate the advantages of the new processes, we conduct two empirical studies to compare their performance to other processes that have been used in the literature.
- Lévy processes
- option pricing
- stochastic volatility
- stochastic-time change
- tempered stable distributions