We formulate and study analytically and computationally two families of piecewise linear
degree one circle maps. These families offer the rare advantage of being non‐trivial but …

The importance of correlation as a measure of dependence has been often emphasized in
the context of pricing derivatives whose payoffs depend on the joint distribution of underlying …

One of the simplest and very popular techniques for pricing an option or other derivative
involves constructing what is known as a binomial tree. This is a tree which represents the …

This will be an outline of work in progress.. We study the conjecture that the topological
entropy of a real cubic map depends" monotonely" on its parameters, in the sense that each …

We show that the conjugacy class of an eventually expanding continuous piecewise affine
interval map is contained in a codimension 1 submanifold of parameter space. In particular …

We discuss a generalization of the *-product in kneading theory to maps with an arbitrary
finite number of turning points. This is based on an investigation of the factorization of …

This is an outline of work in progress. We study the conjecture that the topological entropy of
a real cubic map depends ``monotonely'' on its parameters, in the sense that each locus of …

We describe two classes of piecewise linear circle maps which provide essentially solvable
models of the quasi-periodic transition to chaos, and present the main rigorous results we …

In this paper, we consider the response of the oil-futures option market to the onset of severe
conditions in the aftermath of Feb. 15, 2020. Motivated in part by the decline of the WTI …

… Roza Galeeva, Jiri Hoogland, and Alexander Eydeland … Roza Galeeva works in the
Finance Division and can be contacted at Roza.Galeeva@MorganStanley.com. Jiri …