What percentage of its assets should a defined benefit pension plan invest into stocks as its funding ratio varies? We show that the answer to this question depends on the institutional setting and in particular on the extent to which the sponsoring company contributes to the fund as the funding...

I derive projections of the stochastic discount factor (SDF) in the continuous-time stochastic volatility model by solving a system of partial differential equations. SDF projections are mixtures of exponentially affine functions. Numerical results show that if an SDF projection is U-shaped or...

This paper concerns the pricing of American options with stochastic stopping time constraints expressed in terms of the states of a Markov process. Following the ideas of Menaldi, Robin, and Sun (1996) we transform the constrained into an unconstrained optimal stopping problem. The...

Regulators dedicate much attention to the option that financial institutions in distress have to transfer losses to their creditors. It is generally recognized that the existence of this option provides intermediaries with a powerful incentive to keep firm capital close to the minimal...

Given bid-offer quotes for a set of listed vanilla options, a fundamental need of option market makers is to interpolate and extrapolate the available quotes to a full arbitrage-free surface. We propose a methodology which directly controls the trade-off between smoothness and bid-offer...

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a...