The purpose of this paper is two-fold. First is to extend the notions of an n-dimensional semimartingaleand its stochastic integral to a piecewise semimartingale of stochastic dimension. The propertiesof the former carry over largely intact to the latter, avoiding some of the pitfalls of...

Motivated by the Chinese experience, we analyze a semi-open economy where the centralbank has access to international capital markets, but the private sector has not. Thisenables the central bank to choose an interest rate different from the international rate.We examine the optimal policy of...

Following a trend of sustained and accelerated growth, the VIXfutures and options market has become a closely followed, active andliquid market. The standard stochastic volatility models | whichfocus on the modeling of instantaneous variance | are unable to t theentire term structure of VIX...

We consider nancial positions belonging to the Banach lattice of bounded measurable functionson a given measurable space. We discuss risk measures generated by general acceptance sets allowingfor capital injections to be invested in a pre-specied eligible asset with an everywhere positive...

For utility maximization problems under proportional transaction costs, it hasbeen observed that the original market with transaction costs can sometimes be replacedby a frictionless shadow market that yields the same optimal strategy and utility. However,the question of whether or not this...

We present results from the rst large-scale international surveyon risk preferences, conducted in 45 countries. We show substantialcross-country dierences in risk aversion, loss aversion and probabilityweighting. Moreover, risk attitudes in our sample depend not only oneconomic conditions, but...

Recent research has shown that relaxing the assumptions of complete informationand common knowledge in exchange rate models can shed light on a wide range ofimportant exchange rate puzzles. In this chapter, we review a number of models wehave developed in previous work that relax the strong...

We propose a simplified approach to mean-variance portfolio problems by changingtheir parametrisation from trading strategies to final positions. This allows us to treat,under a very mild no-arbitrage-type assumption, a whole range of quadratic optimisationproblems by simple mathematical tools...

For an investor with constant absolute risk aversion and a long horizon, who trades in amarket with constant investment opportunities and small proportional transaction costs, weobtain explicitly the optimal investment policy, its implied welfare, liquidity premium, andtrading volume. We...

In a market with one safe and one risky asset, an investor with a long horizon, constantinvestment opportunities, and constant relative risk aversion trades with small proportionaltransaction costs. We derive explicit formulas for the optimal investment policy, its impliedwelfare, liquidity...