A Novel Simple but Empirically Consistent Model for Stock Price and Option Pricing

Abstract:     
In this paper, we propose a simple but empirically consistent stochastic model for stock price dynamics and option pricing, which not only has the same analyticity as log-normal and Black-Scholes model, but is also consistent with many phenomenons arising from empirical stock and option markets. It is another way to model stock price and options under leptokurtic distribution that hopefully can add some new insight or give new ideas to improve stock and option valuation.

Number of Pages in PDF File: 21

Keywords: Nonlinear model, Random walk, Stock price, Option pricing, Default risk, Realized volatility, Local volatility, Volatility skew, EGARCH

JEL Classification: G12, G1, C51, C5

working papers series