This paper presents closed-form solutions for the investment and valuation of a competitive firm with a Cobb-Douglas production function and a constant elasticity adjustment cost function in the presence of stochastic prices for output and inputs. The value of the firm is a linear function of...

We propose a time-adaptive high-order compact finite difference scheme for option pricing in a family of stochastic volatility models. We employ a semi-discrete high-order compact finite difference method for the spatial discretisation, and combine this with an adaptive time discretisation,...

We consider the problem of estimating volatility based on high-frequency data when the observed price process is a continuous Itô semimartingale contaminated by microstructure noise. Assuming that the noise process is compatible across different sampling frequencies, we argue that it typically...

We study a model of collective search by teams. Discoveries beget discoveries and correlated search results are governed by a Brownian path. Search results' variation at any point---the search scope---is jointly controlled. Agents individually choose when to cease search and implement their best...

At the core of securities financing transaction modeling is computing the distribution of the borrower default contingent market losses. Typically, the borrower’s credit spread is modeled after the lognormal model and the asset price dynamics is governed by a correlated jump diffusion model....

Using powerful technique of stochastic time change, we introduce a new two-factor commodity price model, where one of the fundamental factors is the activity rate. This factor implicitly introduces stochastic volatility into the model. The model is developed under both physical and risk neutral...

This paper is concerned with the nature of temptation in stochastic choice models. In particular, we study the distinction between the two leading approaches to modeling temptation in the literature (dynamic inconsistency and costly self-control) when preferences are stochastic. We first design...

The paper develops a simple stochastic new open economy macroeconomic model based on sticky nominal wages. Explicit solution of the wage-setting problem under uncertainty allows one to analyze the effects of the monetary regime on welfare, expected output, and the expected terms of trade....

The objective of this paper is to approximate the probability density functions for Ornstein-Uhlenbeck processes that are driven by Levy processes. This is achieved by considering a truncated set of cumulants relating to the Levy measure and expressing these as moments of Gaussian random...