The main aim of this paper is to to analyse the impact of shifting demographics and changes in pension arrangements in a model which includes housing both as an investment asset and a consumption good. We consider the impact on welfare, and on macroeconomic aggregates, of some specific pension...

We examine the behaviour of optimal mean-variance hedging strategies at high rebalancing frequencies in a model where stock prices follow a discretely sampled exponential Levy process and one hedges a European call option to maturity. Using elementary methods we show that all the attributes of a...

In this paper we solve the general discrete time mean-variance hedging problem by dynamic programming. Thanks to its simple recursive structure our solution is well suited for computer implementation. On the theoretical side, we show how the variance-optimal measure arises in our dynamic...

This paper derives a closed-form formula for the hedging error of optimal and continuously rebalanced hedging strategies in a model with leptokurtic IID returns and, in contrast to the standard Black-Scholes result, shows that continuous hedging is far from riskless even in the absence of...

The Fourier transform is an important tool in Financial Economics. It delivers real time pricing while allowing for a realistic structure of asset returns, taking into account excess kurtosis and stochastic volatility. Fourier transform is also rather abstract and therefore off-putting to many...

The paper presents an incomplete market pricing methodology generating asset price bounds conditional on the absence of attractive investment opportunities in equilibrium. The paper extends and generalises the seminal article of Cochrane and Saa-Requejo who pioneered option pricing based on the...

We develop a stochastic calculus that makes it easy to capture a variety of predictable transformations of semimartingales such as changes of variables, stochastic integrals, and their compositions. The framework offers a unified treatment of real-valued and complex-valued semimartingales. The...

The paper develops multiplicative compensation for complex-valued semimartingales and studies some of its consequences. It is shown that the stochastic exponential of any complex-valued semimartingale with independent increments becomes a true martingale after multiplicative compensation, where...

The paper introduces a simple way of recording and manipulating general stochastic processes without explicit reference to a probability measure. In the new calculus, operations traditionally presented in a measure-specific way are instead captured by tracing the behaviour of jumps (also when no...