This article provides a rigorous asymptotic analysis of long-term growth rates under both proportional and Morton-Pliska transaction costs. We consider a general incomplete financial market with an unspanned Markov factor process that includes the Heston stochastic volatility model and the...

We study continuous-time optimal consumption and investment with Epstein-Zin recursive preferences in incomplete markets. We develop a novel approach that rigorously constructs the solution of the associated Hamilton-Jacobi-Bellman equation by a fixed point argument and makes it possible to...

We develop a class of rational term structure models in the framework of the potential approach, based upon a family of positive supermartingales that are driven by an affine Markov process. These models generally feature non-negative interest rates and analytic pricing formulae for zero bonds,...

This article presents a structural model for interbank money market rates (XIBOR rates) that endogenously generates the basis spreads that characterize post-crisis fixed income markets: XIBOR-OIS spreads, tenor basis spreads, and the forward basis. In contrast to existing multi-curve models,...

We develop and showcase a simple no-arbitrage methodology for the prediction of discrete dividend payments, based exclusively on market prices of options via the put-call parity. Our approach integrates all available option market data and simultaneously calibrates the market-implied discount...

We study a two-agent equilibrium model with two goods where we interpret the agents as countries. We analyze the effect of an endogenous habit specification where each country benchmarks its consumption decision against the decision of the other country. We show that endogenous habits can...

We investigate the optimal asset allocation of an investor who can invest in a fixed-term security that is only traded at time 0. Using a generalized martingale approach, we solve the investor's optimal portfolio problem, determine the optimal allocation to fixed-term securities, and provide a...

We develop a general class of multi-curve potential models for post-crisis interest rates. Our model features positive stochastic basis spreads, positive term structures, and analytic pricing formulae for interest rate derivatives. Making a quanto interpretation of LIBOR lending transactions, we...

We show that the optimal consumption of an individual over the life cycle can have the hump shape (inverted U-shape) observed empirically if the preferences of the individual exhibit internal habit formation. In the absence of habit formation, an impatient individual would prefer a decreasing...

We consider the continuous-time portfolio optimization problem of an investor with constant relative risk aversion who maximizes expected utility of terminal wealth. The risky asset follows a jump-diffusion model with a diffusion state variable. We propose an approximation method that replaces...