Practical tools and advice for managing financial risk, updated for a post-crisis world Advanced Financial Risk Management bridges the gap between the idealized assumptions used for risk valuation and the realities that must be reflected in management actions. It explains, in detailed yet...

This paper demonstrates that Black-Scholes implied volatilities can be used to value options in many situations where the assumptions of the Black-Scholes model are violated, including (1) alternative stock processes, (2) stochastic interest rates, and (3) market frictions. Given its...

This article provides a new methodology for pricing and hedging derivative securities involving credit risk. Two types of credit risks are considered. The first is where the asset underlying the derivative security may default. The second is where the writer of the derivative security may...

This paper studies the impact that margin requirements have on both the existence of arbitrage opportunities and the valuation of ca ll options. In the context of the Black-Scholes economy, margin restr ictions are shown to exclude continuous-trading arbitrage opportuniti es, and with two...

This paper investigates the reported relative mispricing of primes and scores to the underlying stock. Given transaction costs, the authors establish arbitrage-based bounds on prime and score prices. They then develop a new nonparametric statistical technique to test whether prime and score...

This article presents a new definition of market completeness that is independent of the notions of no arbitrage and equivalent martingale measures. Our definition has many advantages, all shown herein. First, it preserves the Second Fundamental Theorem of Asset Pricing, even in complex...