Option pricing in incomplete markets

How Does Pricing of Day-ahead Electricity Market Affect Put Option Pricing?

In this paper, impacts of day-ahead market pricing on behavior of producers and consumers in option and day-ahead markets and on option pricing are studied. To this end, two comprehensive equilibrium models for joint put option and day-ahead markets under pay-as-bid and uniform pricing in day-ahead market are presented, respectively. Interaction between put option and day-ahead markets, uncerta...

Impacts of Premium Bounds on the Operation of Put Option and Day-ahead Electricity Markets

In this paper‎, ‎the impacts of premium bounds of put option contracts on the operation of put option and day-ahead electricity markets are studied‎. ‎To this end‎, ‎first a comprehensive equilibrium model for a joint put option and day-ahead markets is presented‎. ‎Interaction between put option and day-ahead markets‎, ‎uncertainty in fuel price, impact of premium bounds, and elasticity of con...

GARCH Options in Incomplete Markets

We propose a new method to compute option prices based on GARCH models. In an incomplete market framework, we allow for the volatility of asset return to differ from the volatility of the pricing process and obtain adequate pricing results. We investigate the pricing performance of this approach over short and long time horizons by calibrating theoretical option prices under the Asymmetric GARC...

Option Pricing In Incomplete Markets

Beyond Black-Scholes Option Theory

This article presents a new option pricing principle that is more useful than the no-arbitrage principle, especially for incomplete markets. The focus here is on ideas behind mathematics— why the new theory is warranted, and how common sense dictates its construction. I. Complete and Incomplete Markets The real financial world is too complicated for anyone to understand it completely. Thus a si...

A New Stock Model for Option Pricing in Uncertain Environment

The option-pricing problem is always an important part in modern finance. Assuming that the stock diffusion is a constant, some literature has introduced many stock models and given corresponding option pricing formulas within the framework of the uncertainty theory. In this paper, we propose a new stock model with uncertain stock diffusion for uncertain markets. Some option pricing formulas on...