The construction of martingales with given marginal distributions at given times is a recurrent problem in financial mathematics. From a theoretical point of view, this problem is well-known as necessary and sufficient conditions for the existence of such martingales have been described....

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...

A local volatility model is enhanced by the possibility of a single jump to default. The jump has a hazard rate that is the product of the stock price raised to a prespecified negative power and a deterministic function of time. The empirical work uses a power of -1.5. It is shown how one may...

Real-time macroeconomic data reflect the information available to market participants, whereas final data's containing revisions and released with a delays' overstate the information set available to them. We document that the in-sample and out-of-sample Treasury return predictability is...

Macroeconomic data are typically subject to future revisions and released with delay. Predictive return regressions using such data therefore potentially overstate the information set available to investors in real time. We document that data revisions account for a sizable share of in-sample...

Bond Yield curve is an important indicator of the borrowing costs and lending returns, is also one of the most observed indicator by traders in fixed income trading desk among investment banks. The shape of the yield curve can be normal, flat or inverted. In most cases, bond yield curve is...

In this paper, we show that the calibration to an implied volatility surface and the pricing of contingent claims can be as simple in a jump-diffusion framework as in a diffusion one. Indeed, after defining the jump densities as those of diffusions sampled at independent and exponentially...

The replication of any European contingent claim by a static portfolio of calls and puts with strikes forming a continuum, formally proven by Carr and Madan (1998), is part of the more general theory of integral equations. We apply spectral decomposition techniques to show that replication may...

In this paper we will explain how to perfectly hedge under Heston's stochastic volatility model with jump to default, which is in itself a generalization of the Merton jump-to-default model and a special case of the Heston model with jumps. The hedging instruments we use to build the hedge will...