Option pricing for jump in volatility and stochastic intensity
Nonthiya Makate, Wasana Thongkamhaeng, Amaraporn Sengpanit
Abstract
Nonthiya Makate, Wasana Thongkamhaeng, Amaraporn Sengpanit
Abstract
An alternative option pricing model is proposed, in which the asset prices follow the jump-diffusion model with stochastic volatility and stochastic intensity. The stochastic volatility follows the jump-diffusion. We find a formulation for the European-style option in terms of characteristic functions. The closed-form formulae of pricing for option are derived.
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An alternative option pricing model is proposed, in which the asset prices follow the jump-diffusion model with stochastic volatility and stochastic intensity. The stochastic volatility follows the jump-diffusion. We find a formulation for the European-style option in terms of characteristic functions. The closed-form formulae of pricing for option are derived.
Key concepts: Stochastic volatility, Jump diffusion, Jump, Valuation of options, Implied volatility, Volatility smile, Volatility (finance), Econometrics