Most existing hedging theories are derived under strong, idealistic assumptions on both the underlying security price dynamics and the trading environments. Practical concerns such as contract availability, transaction cost, and uncertainty regarding the security price dynamics impose severe...

We model term structure dynamics using a recursive cascade of heterogeneously persistent factors. The cascade naturally orders the factors by their adjustment speeds, and generates smooth zero-coupon bond prices and forward curves in closed form. For a class of specifications, the number of...

Most existing hedging approaches are based on neutralizing risk exposures defined under a pre-specified model. This paper proposes a new, simple, and robust hedging approach based on the affinity of the derivative contracts. As a result, the strategy does not depend on assumptions on the...

This paper develops a decentralized theory that determines the fair value of the yield-to-maturity of a bond or bond portfolio based purely on the near-term dynamics of the yield itself. The theory decomposes the yield into three components: its expected change, its risk premium, and its...

We develop a new option pricing framework that tightly integrates with how institutional investors manage options positions. The framework starts with the near-term dynamics of the implied volatility surface and derives no-arbitrage constraints on its current shape. Within this framework, we...

Classic option pricing theory values a derivative contract via dynamic replication, and views the derivative as redundant relative to the replicating portfolio. In practice, while dynamic replication proves highly effective in drastically reducing the risk in derivative investments, the...