The pricing formulas for European call and put options under arithmetic Brownian motion (ABM) are derived via risk-neutral valuation using the martingale measure, and checked against the corresponding Black-Scholes-like partial differential equation (PDE). In quite a few limiting cases, the...

Arnold, Crack and Schwartz (2010) generalize the Rubinstein (1994) risk-neutral implied binomial tree (R-IBT) model by introducing a risk premium. Their new risk-averse implied binomial tree model (RA-IBT) has both probabilistic and pricing applications. They use the RA-IBT model to estimate the...

The option pricing theory is now either a standard or a main part of many financial courses on both intermediate and advanced levels. All the textbooks that include the option pricing theory present a detailed treatment of the binomial model. However, the binomial model, although quite simple...

The credit risk along with the credit derivatives is a modern area of the financial business. In recent years this field becomes the most successful innovation, which accumulates significant cash flows as well as the highest attention within financial community. In this notice we present some...

Understanding option pricing is increasingly important for finance students. The mathematics underlying the Black/Scholes formula, the cornerstone of this topic, makes teaching the subject challenging. This article describes a two-stage method we use to convey to our students an understanding of...

Generalized Method of Moments (GMM) is underutilized in financial economics because it is not adequately explained in the literature. We use a simple example to explain how and why GMM works. We then illustrate practical GMM implementation by estimating and testing the Black-Scholes option...

We extend a popular binomial model to allow for option pricing using real-world rather than risk-neutral world probabilities. There are three benefits. First, our model allows direct inference about relevant real-world probabilities (e.g. of success in a real-option project, of default on a...

Recent findings have shown that the Prague Exchange featured a very active and developed stock options market right until its pre-war closure in September 1938. This paper follows up on extensive research into fragmentary archival resources, aggregating a unique collection of options quotations...

We develop a new approach to approximating asset prices in the context of continuous-time models. For any pricing model that lacks a closed-form solution, we provide a closed-form approximate solution, which relies on the expansion of the intractable model around an “auxiliary” one. We...

Although dependence in financial data is pervasive, standard doctoral-level econometrics texts do not make clear that the common central limit theorems (CLTs) contained therein fail when applied to dependent data. More advanced books that are clear in their CLT assumptions do not contain any...