Theoretical and Applied Economics
No. 3 / 2006 (498)
Option Pricing with Stochastic Volatility and Jump Diffusion Processes
Academia de Studii Economice Bucuresti
Abstract. Option pricing by the use of Black Scholes Merton (BSM) model is based on the assumption that asset prices have a lognormal distribution. In spite of the use of these models on a large scale, both by practioners and academics, the assumption of lognormality is rejected by the history of returns. The objective of this article is to present the methods that developed after the Black Scholes Merton environment and deals with the option pricing model adjustment to the empirical properties of asset returns. The main models that appeared after BSM allowed for special changes of the returns that materialized in jump-diffusion and stochastic volatility processes. The article presents the foundations of risk neutral options evaluation and the empirical evidence that fed the amendment of the lognormal assumption in the first part and shows the evaluation procedure under the assumption of stock prices following the jump-diffusion process and the stochastic volatility process.
Contents
John Kenneth Galbraith, A Life in Order to Fulfill a Perfect Society
SME’s and Basel 2 Challenge
Romanian Market Researches in Global Market Context
About some Methodological Aspects of Budgetary Sustainability
New Values in Credit Risk Management
International Accounting Convergences Related to EU Admitance
Systemic Model for Optimal Regulation in Public Service
VAR Methodology Used for Exchange Risk Measurement and Prevention
The Explanatory Model of Globalization
Privatization between Professionism and Transparency
Bonds Evaluation - A Pillar for Investment Decision
Correlation Analysis between Nominal and Real Convergence. The Romanian Case
Research about Romanian Labor Force at the end of 2005
Organizational Factors Impact about Touristic Services Consumer Satisfaction
Social European Model between Descriptive and Contrafactual
Measuring the Degree of Local Administration Action in Economic Development
Romanian Fiscal Policy in Perspective of Admittance in EU
Facing a New Globalization Model – Altermondialisation Perspectives
Option Pricing with Stochastic Volatility and Jump Diffusion Processes