The convolution method for the numerical solution of forward-backward stochastic differential equations (FBSDEs) was originally formulated using Euler time discretizations and a uniform space grid. In this paper, we utilize a tree-like spatial discretization that approximates the BSDE on the...

We present a quasi-analytical method for pricing multi-dimensional American options based on interpolating two arbitrage bounds, along the lines of Johnson in J Financ Quant Anal 18(1):141–148 (1983). Our method allows for the close examination of the interpolation parameter on a rigorous...

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the...

chapter 1 Elements of Finance -- chapter 2 Binomial Models -- chapter 3 Diffusion Models -- chapter 4 Interest Rate Contracts -- chapter 5 Barrier Options -- chapter 6 Lookback Options -- chapter 7 American Options -- chapter 8 Contracts on Three or More Assets: Quantos, Rainbows and "Friends"...

"Computational Methods in Finance is a book developed from the author's courses at Columbia University and the Courant Institute of New York University. This self-contained text is designed for graduate students in financial engineering and mathematical finance, as well as practitioners in the...

I Pricing and ValuationStochastic Processes and Risk-Neutral Pricing Characteristic FunctionStochastic Models of Asset PricesValuing Derivatives under Various MeasuresTypes of DerivativesDerivatives Pricing via Transform TechniquesDerivatives Pricing via the Fast Fourier TransformFractional Fast...