We investigate the suitability of sparse grids for solving high-dimensional option pricing and interest rate models numerically. Starting from the partial differential equation, we try to - at least partially - break the curse of dimensionality through sparse grids which will result from a...

There is a general argument saying that adding derivative securities (options) to a financial market makes the market more efficient, and has therefore a stabilising effect. We investigate this claim by adding Arrow securities on future states of the world in the asset pricing model with...

This paper presents a possible explanation for some of the empirical properties of asset returns within a heterogeneous-agents framework. The model turns out, even if we assume the input fundamental value follows a simple Gaussian distribution lacking both fat tails and volatility dependence,...

Alvarez and Jermann (2000) show that the constrained efficient allocations of endowment economies with complete markets and limited commitment can be decentralized with endogenous borrowing limits on the Arrow securities. In a model with capital accumulation, aggregate risk and competitive...

The literature on private information as a source of trade is probably most well known via the seminal work by Jean Tirole and Paul Milgrom and Nancy Stokey. We consider an arbitrage opportunity to be the result of the existence of such private information. We are interested to propose a model...

Using monthly data from 1926:01 to 2003:12 for the United States, this paper examines the predictability of real stock prices based on the dividend-price ratio. In particular, we focus on estimating and forecasting a nonlinear exponential smooth autoregressive model (ESTAR). One motivation for...

Present value calculations require predictions of cash flows both at near and distant future points in time. Such predictions are generally surrounded by considerable uncertainty and may critically depend on assumptions about parameter values as well as the form and stability of the data...

We study how well a New Keynesian business cycle model can explain the observed behavior of nominal interest rates. We focus on two puzzles raised in previous literature. First, Donaldson, Johnsen, and Mehra (1990) show that while in the U.S. nominal term structure the interest rates are...

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. The pricing formulas for American options, however, have not been found in general and the numerical methods are required to derive the price of these...

It is well-documented that economies experience business cycles. Economic and financial activities fall sharply during recessions and rise sharply during booms. This phenomenon also gives rise to cyclical asset pricing implications: high asset prices (low returns) during booms and low prices...