- Nonlinear Regression for an Asymptotic Option Price
- Nonlinear Regression for an Asymptotic Option Price
- ㆍ 저자명
- Song. Seong-Joo,Song. Jong-Woo
- ㆍ 간행물명
- 응용통계연구
- ㆍ 권/호정보
- 2008년|21권 5호|pp.755-763 (9 pages)
- ㆍ 발행정보
- 한국통계학회
- ㆍ 파일정보
- 정기간행물|ENG| PDF텍스트
- ㆍ 주제분야
- 기타
This paper approaches the problem of option pricing in an incomplete market, where the underlying asset price process follows a compound Poisson model. We assume that the price process follows a compound Poisson model under an equivalent martingale measure and it converges weakly to the Black-Scholes model. First, we express the option price as the expectation of the discounted payoff and expand it at the Black-Scholes price to obtain a pricing formula with three unknown parameters. Then we estimate those parameters using the market option data. This method can use the option data on the same stock with different expiration dates and different strike prices.