Showing 1 - 10 of 71
Persistent link: https://www.econbiz.de/10010365681
This paper addresses the questions who is buying and who is selling options on a stock, the optimal position to hold, and how this affects the price. The individual demand functions and the equilibrium allocation are derived using an asymptotically valid expansion. Trading occurs only at...
Persistent link: https://www.econbiz.de/10012742877
This paper uses an asymptotically valid expansion to derive explicitly agent's individual demand schedules and then the equilibrium allocations in options. Agents derive financial and non-tradeable income over time; they can only partially offset the latter using bonds and stocks and the option...
Persistent link: https://www.econbiz.de/10005345628
This paper introduces a nonlinear certainty-equivalent approximation method for dynamic stochastic problems. We first introduce a novel, stable, and efficient method for computing the decision rules in deterministic dynamic economic problems. We use the results as nonlinear and global...
Persistent link: https://www.econbiz.de/10011995484
We introduce a computational technique- precomputation of integrals - that makes it possible to construct conditional expectation functions in dynamic stochastic models in the initial stage of a solution procedure. This technique is very general: it works for a broad class of approximating...
Persistent link: https://www.econbiz.de/10011995505
Static and dynamic games are important tools for the analysis of strategic interactions among economic agents and have found many applications in economics. In many games equilibria can be described as solutions of polynomial equations. In this paper we describe state-of-the-art techniques for...
Persistent link: https://www.econbiz.de/10008797725
Numerical dynamic programming algorithms typically use Lagrange data to approximate value functions. This paper uses Hermite data obtained from the optimization step and applies Hermite interpolation to construct approximate value functions. Several examples show that Hermite interpolation...
Persistent link: https://www.econbiz.de/10013104826
Continuous time is a superior representation of both the economic and climate systems that Integrated Assessment Models (IAM) aim to study. Moreover, continuous-time representations are simple to express. Continuous-time models are usually solved by discretizing time, but the quality of a...
Persistent link: https://www.econbiz.de/10013104827
We propose a novel methodology for evaluating the accuracy of numerical solutions to dynamic economic models. Specifically, we construct a lower bound on the size of approximation errors. A small lower bound on errors is a necessary condition for accuracy: If a lower error bound is unacceptably...
Persistent link: https://www.econbiz.de/10013048839
First, we propose a more efficient implementation of the Smolyak method for interpolation, namely, we show how to avoid costly evaluations of repeated basis functions in the conventional Smolyak formula. Second, we extend the Smolyak method to include anisotropic constructions; this allows us to...
Persistent link: https://www.econbiz.de/10013078118