Option Pricing Under Discrete Shifts in Stock Returns
54 Pages Posted: 17 Mar 2001
Date Written: November 2000
Abstract
In this paper we introduce a pricing model for a European call option when the price of the underlying stock (asset) follows a random walk with Markov Chain type of shifts in the drift and volatility parameters according to the regime that the stock market lies in, at a given period of time. We show that the model can explain the main stylised facts of the option pricing literature and substantially reduce the BS option pricing biases which allows for time-varying transition probabilities between the regimes of the stock market version preferences, based on traded option prices data.
Keywords: Markov regime switching, Option pricing, Volatility smile.
JEL Classification: G10, G13, C22
Suggested Citation: Suggested Citation
Do you have a job opening that you would like to promote on SSRN?
Recommended Papers
-
Transform Analysis and Asset Pricing for Affine Jump-Diffusions
By Darrell Duffie, Jun Pan, ...
-
Transform Analysis and Asset Pricing for Affine Jump-Diffusions
By Darrell Duffie, Jun Pan, ...
-
The Impact of Jumps in Volatility and Returns
By Michael S. Johannes, Bjorn Eraker, ...
-
Implied Volatility Functions: Empirical Tests
By Bernard Dumas, Jeff Fleming, ...
-
Recovering Risk Aversion from Option Prices and Realized Returns
-
Recovering Probabilities and Risk Aversion from Option Prices and Realized Returns
-
Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options
By Gurdip Bakshi, Nikunj Kapadia, ...
-
Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options
By Nikunj Kapadia, Gurdip Bakshi, ...
-
Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices
By Yacine Ait-sahalia and Andrew W. Lo