In this work, we analyse the Galerkin Infinite Element method for option pricing. The Infinite Element method is a very simple and efficient modifcation of the more common Finite Element method. It keeps the best features of Finite Elements, i.e. bandedness, easiness of programming, accuracy,...

This paper provides a general framework for the quantitative analysis of stochastic dynamic models. We review convergence properties of some numerical algorithms and available methods to bound approximation errors. We then address convergence and accuracy properties of the simulated moments. Our...

Under the local volatility model, the convergence of Monte-Carlo with Milstein discretization and Euler discretization are compared for the pricing of Vanilla, Digital, discrete Barrier options as well as a more exotic variety of option, the Accumulator. A finite difference approach is also...

This paper evaluates the accuracy of a set of techniques that approximate the solution of continuous-time DSGE models. Using the neoclassical growth model I compare linear-quadratic, perturbation and projection methods. All techniques are applied to the HJB equation and the optimality conditions...

The Kalman filter (KF) dates back to 1960, when R. E. Kalman provided a recursive algorithm to compute the solution of a (linear) data filtering and prediction problem, proving to be much more efficient than the N. Wiener's approach, introduced in 1949.Data filtering is a simple example of Data...

In order to incentivize stronger issuer due diligence effort, European and U.S. authorities are amending securitization-related regu- lations to force issuers to retain an economic interest in the securitization products they issue. This paper contributes to the process by exploring the...

This paper introduces a new numerical option pricing method by fast recursive projections. The projection step consists in representing the payoff and the state price density with a fast discrete transform based on a simple grid sampling. The recursive step consists in transmitting coefficients...