This paper develops an eigenfunction expansion approach to pricing options on scalar diffusion processes. All derivative securities are unbundled into portfolios of primitive securities termed eigensecurities. Eigensecurities are eigenvectors of the pricing operator (present value operator). Pricing is then immediate by the linearity property of the pricing operator and the eigenvector property...

Are consumers more likely to purchase an item from an assortment in which options are priced at parity or from an assortment in which options vary in price? This research examines the influence of parity-pricing and differentiation-pricing strategies on consumer choice and identifies conditions in which parity pricing facilitates choice, as well as conditions in which choice is facilitated by d...

In this paper, we deal with the pricing of power options when the dynamics of the risky underling asset follows the double stochastic volatility with double jump model. We prove efficiency of our considered model by fast Fourier transform method, Monte Carlo simulation and numerical results using power call options i.e. Monte Carlo simulation and numerical results show that the fast Fourier tra...

In this survey we shall focus on the following issues related to jump-diffusion models for asset pricing in financial engineering. (1) The controversy over tailweight of distributions. (2) Identifying a risk-neutral pricing measure by using the rational expectations equilibrium. (3) Using Laplace transforms to pricing options, including European call/put options, path-dependent options, such as...

In this note the pricing of options on credit default swaps using the survival-measure-pricing technique is discussed. In particular, we derive a modification of the famous Black (1976) futures pricing formula which applies to options on CDS, and show how other pricing formulae can be easily derived if the dynamics of the forward CDS rates are specified differently. The main tool in the derivat...

Parisian options are barrier options for which the knock-in/knock-out feature is only activated after the price process has spent a certain prescribed, consecutive time beyond the barrier. This specification has two motivations: First, there is the need to make the option more robust against short-term movements of the share price. This is achieved in Parisian options where it is ensured that a...