학술논문

A Delayed Black and Scholes Formula I
Document Type
Working Paper
Source
Subject
Mathematics - Probability
Mathematics - Statistics Theory
Quantitative Finance - Pricing of Securities
Language
Abstract
In this article we develop an explicit formula for pricing European options when the underlying stock price follows a non-linear stochastic differential delay equation (sdde). We believe that the proposed model is sufficiently flexible to fit real market data, and is yet simple enough to allow for a closed-form representation of the option price. Furthermore, the model maintains the no-arbitrage property and the completeness of the market. The derivation of the option-pricing formula is based on an equivalent martingale measure.