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Jan 4, 2020 at 21:54 comment added Canardini I read your answer , exactly you got it right. The smile is a model dependent.
Jan 4, 2020 at 18:36 answer added LocalMartingale timeline score: 3
Jan 4, 2020 at 17:39 comment added LocalMartingale What I'm asking is why the implied volatility surface using a stochastic volatility model is not generating a flat curve (like a local volatility model)? Lets say, when I calibrate a stochastic volatility model to market data, I achieve a optimal $\sigma_t$. This $\sigma_t$ is constant anyway (like in a local volatility model), and hence the volatility surface generated using a stochastic volatility model must be flat aswell?
Jan 4, 2020 at 16:22 comment added Canardini Are you asking how a flat smile will translate to parameters of a stochastic vol model?
Jan 4, 2020 at 14:53 history asked LocalMartingale CC BY-SA 4.0