In this paper, we proposed model for European option pricing using predicted cumulative probability distribution of hidden Markov Model. The Black-Scholes model is based on Gaussian distribution and the model's main shortfall is fat-tail problem. Because of fat-tail problem, the implied volatility surface is shaped skew, smirk or other forms. To correct model's drawback, we extract predicted cumulative distribution using hidden Markov Model and simulate the underlying price paths using Monte Carlo method. In the results, our model re ect current implied volatility surface suciently.
목차
Abstract 1. Introduction 2. Hidden Markov Model 2.1. Hidden Markov Model 2.2. Application of HMM 3. Monte Carlo Valuation of a European option under HMM set-up 3.1. Predicted Cumulative Probability Distribution 3.2. Monte Carlo Valuation 4. Empirical Analysis 4.1. Data 4.2. Training of the hidden Markov Model 4.3. Simulation Results 5. Conclusion References
키워드
Hidden Markov ModelMonte Carlo SimulationOption PricingImplied Volatility
저자
Youngchul Han [ Department of Mathematics, Yonsei University, Seoul 120-749, Korea ]
Jungwoo Lee [ Department of Mathematics, Yonsei University, Seoul 120-749, Korea ]
Jeong-Hoon Kim [ Department of Mathematics, Yonsei University, Seoul 120-749, Korea ]