Since its founding in 1995 Amazon has become a leader in eCommerce, cloud computing services, and interactive devices for individuals and homes. In this study, we document the critical steps in Amazon's development in each line of business. Our review yields insights on (i) how Amazon responded...

A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized. The numerical results are compared to standard...

We give a simple explicit formula for turnover reduction when a large number of alphas are traded on the same execution platform and trades are crossed internally. We model turnover reduction via alpha correlations. Then, for a large number of alphas, turnover reduction is related to the largest...