کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
978562 | 933292 | 2011 | 11 صفحه PDF | دانلود رایگان |
In this paper, we extend a delayed geometric Brownian model by adding a stochastic volatility term, which is driven by a hidden process of fast mean reverting diffusion, to the delayed model. Combining a martingale approach and an asymptotic method, we develop a theory for option pricing under this hybrid model. The core result obtained by our work is a proof that a discounted approximate option price can be decomposed as a martingale part plus a small term. Subsequently, a correction effect on the European option price is demonstrated both theoretically and numerically for a good agreement with practical results.
► A delayed geometric Brownian model is extended by a stochastic volatility term.
► A discounted option price is decomposed as a martingale plus a small term.
► Correction effects under our new hybrid model are demonstrated.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 390, Issue 16, 15 August 2011, Pages 2909–2919