In this work, we adapt a Monte Carlo algorithm introduced by Broadie and Glasserman in 1997 to price a π-option. This method is based on the simulated price tree that comes from discretization and replication of possible trajectories of the underlying asset's price. As a result, this algorithm...

A new method to retrieve the risk-neutral probability measure from observed option prices is developed and a closed form pricing formula for European options is obtained by employing a modified Gram-Charlier series expansion, known as the Gauss-Hermite expansion. This expansion converges for...

Asian options are securities with a payoff that depends on the average of the underlying stock price over a certain time interval. We identify three natural assets that appear in pricing of the Asian options, namely a stock S, a zero coupon bond BT with maturity T, and an abstract asset A (an...

We propose a new accurate method for pricing European spread options by extending the lower bound approximation of Bjerksund and Stensland (2011) beyond the classical Black-Scholes framework. This is possible via a procedure requiring a univariate Fourier inversion. In addition, we are also able...

We propose a novel, fast, accurate parallel algorithm for pricing American options. We perform a thorough numerical analysis of existing methodologies and find that ours performs significantly better. The proposed method is stable, robust, and converges monotonically. We also show that the...

Psychological barriers are prevalent among various asset classes, and it is important to consider their impact on the prices of derivative securities. This paper demonstrates the potential existence of such barriers on the S&P 500 Index and examines their impact on this index's rate of return...

This paper extends the integral transform approach of McKean (1965) and Chiarella and Ziogas (2005) to the pricing of American options written on more than one underlying asset under the Black and Scholes (1973) framework. A bivariate transition density function of the two underlying stochastic...

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...