On the closed-form approximation of short-time random strike options

In this paper we propose a general technique to develop first and second order closed-form approximation formulas for short-time options withrandom strikes. Our method is based on Malliavin calculus techniques andallows us to obtain simple closed-form approximation formulas dependingon the derivative operator. The numerical analysis shows that these formulas are extremely accurate and improve some previous approaches ontwo-assets and three-assets spread options as Kirk's formula or the decomposition mehod presented in Alòs, Eydeland and Laurence (2011).

Early change in defence mechanisms and coping in short-term dynamic psychotherapy: relations with symptoms and alliance.

Several patient-related variables have already been investigated as predictors of change in psychodynamic psychotherapy. Defensive functioning is one of them. However, few studies have investigated adaptational processes, encompassing defence mechanisms and coping, from an integrative or comparative viewpoint. This study includes 32 patients, mainly diagnosed with adjustment disorder and undergoing time-limited psychodynamic psychotherapy lasting up to 40 sessions, and will focus on early change in defence and coping. Observer-rater methodology was applied to the transcripts of two sessions of the first part of the psychotherapeutic process. It is assumed that the contextual-relational variable of therapeutic alliance intervenes as moderator on change in adaptational processes. Results corroborated the hypothesis, but only for coping, whereas for defences, overall functioning remained stable over the first 20 sessions of psychotherapy. These results are discussed within the framework of disentangling processes underlying adaptation, i.e., related to issues on trait and state aspects, as well as the role of the therapeutic alliance.

Portfolio delegation under short-selling constraints

In this paper we study delegated portfolio management when themanager's ability to short-sell is restricted. Contrary to previousresults, we show that under moral hazard, linear performance-adjustedcontracts do provide portfolio managers with incentives to gatherinformation. The risk-averse manager's optimal effort is an increasingfunction of her share in the portfolio's return. This result affectsthe risk-averse investor's optimal contract decision. The first best,purely risk-sharing contract is proved to be suboptimal. Usingnumerical methods we show that the manager's share in the portfolioreturn is higher than the rst best share. Additionally, this deviationis shown to be: (i) increasing in the manager's risk aversion and (ii)larger for tighter short-selling restrictions. When the constraint isrelaxed the optimal contract converges towards the first best risksharing contract.

Short-term investment and equilibrium multiplicity

I study the effects of the heterogeneity of traders'horizon in the context of a 2-period NREE model whereall traders are risk averse. Owing to inventory effects,myopic trading behavior generates multiplicity ofequilibria. In particular, two distinct patterns arise.Along the first equilibrium, short term tradersanticipate higher second period price reaction toinformation arrival and, owing to risk aversion,scale back their trading intensity. This, in turn,reduces both risk sharing and information impoundinginto prices enforcing a high returns' volatility-lowprice informativeness equilibrium. In the second one,the opposite happens and a low volatility-high priceinformativeness equilibrium arises.

Why do emerging economies borrow short term?

We argue that one reason why emerging economies borrow short term is that it is cheaperthan borrowing long term. This is especially the case during crises, as in these episodes therelative cost of long-term borrowing increases. We construct a unique database of sovereignbond prices, returns, and issuances at di¤erent maturities for 11 emerging economies from 1990to 2009 and present a set of new stylized facts. On average, these countries pay a higher riskpremium on long-term than on short-term bonds. During crises, the di¤erence between the tworisk premia increases and issuance shifts towards shorter maturities. To illustrate our argument,we present a simple model in which the maturity structure is the outcome of a risk sharingproblem between an emerging economy subject to rollover crises and risk averse internationalinvestors.

A Hull and White formula for a general stochastic volatility jump-diffusion model with applications to the study of the short-time behavior of the implied volatility

In this paper, generalizing results in Alòs, León and Vives (2007b), we see that the dependence of jumps in the volatility under a jump-diffusion stochastic volatility model, has no effect on the short-time behaviour of the at-the-money implied volatility skew, although the corresponding Hull and White formula depends on the jumps. Towards this end, we use Malliavin calculus techniques for Lévy processes based on Løkka (2004), Petrou (2006), and Solé, Utzet and Vives (2007).

Is the observed persistence spurious? A test for fractional integration versus short memory and structural breaks

Although it is commonly accepted that most macroeconomic variables are nonstationary, it is often difficult to identify the source of the non-stationarity. In particular, it is well-known that integrated and short memory models containing trending components that may display sudden changes in their parameters share some statistical properties that make their identification a hard task. The goal of this paper is to extend the classical testing framework for I(1) versus I(0)+ breaks by considering a a more general class of models under the null hypothesis: non-stationary fractionally integrated (FI) processes. A similar identification problem holds in this broader setting which is shown to be a relevant issue from both a statistical and an economic perspective. The proposed test is developed in the time domain and is very simple to compute. The asymptotic properties of the new technique are derived and it is shown by simulation that it is very well-behaved in finite samples. To illustrate the usefulness of the proposed technique, an application using inflation data is also provided.

On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility

In this paper we use Malliavin calculus techniques to obtain an expression for the short-time behavior of the at-the-money implied volatility skew for a generalization of the Bates model, where the volatility does not need to be neither a difussion, nor a Markov process as the examples in section 7 show. This expression depends on the derivative of the volatility in the sense of Malliavin calculus.