Recently, given the first few moments, tight upper and lower bounds of the no arbitrage prices can be obtained by solving semidefinite programming (SDP) or linear programming (LP) problems. In this paper, we compare SDP and LP formulations of the European-style options pricing problem and prefer...

If firms are unable to fully control their emissions, the cap in a permit market may be exceeded. Using stochastic aggregate emissions as the underlying I derive an options pricing formula that expresses the permit price as a function of the penalty for noncompliance and the probability of a...

Based on the DF structure models for option pricing (F. Dai, 2005), this paper discusses further the DF structure models on three cases, i.e., the underlying stock being dividend-paid, capital-split or dividend-paid and capital-split. These three cases are discussed separately, and are...

In this article we examine the pricing of options when trading noise and uncertainty in the options markets invalidates the assumption that the price of the option depends solely on the price of the underlying security (or any set of underlying state variables). We show that the introduction of...

We model the volatility of a single risky asset using a multifactor (matrix) Wishart affine process, recently introduced in finance by Gourieroux and Sufana. As in standard Duffie and Kan affine models the pricing problem can be solved through the Fast Fourier Transform of Carr and Madan. A...

Several studies have recommended reliance on subordinated debt as a tool for monitoring banks by investors and for enhancing depositors’ protection. However, subordinated debenture increases the level of leverage and thus the probability of costly failure. We propose a novel financial...

The problem of pricing European options based on multiple assets with transaction costs is considered. These options include, for example, quality options and options on the minimum of two or more risky assets. The value of these options is the solution of a nonlinear parabolic partial...