OPTIMAL NUMERAIRES FOR RISK MEASURES

Can the usage of a risky numeraire with a greater than risk free expected return reduce the capital requirements in a solvency test? I will show that this is not the case. In fact, under a reasonable technical condition, there exists no optimal numeraire which yields smaller capital requirements than any other numeraire.     

Age and gender differences between pupils’ preferences in teaching general and compulsory technology education in Croatia

International Journal of Technology and Design Education - Today’s dynamic change of the pupils’ technological environment certainly affects their preferences towards technology, which...     

The Factor Structure of Tourist Satisfaction at Pilgrimage Destinations: the Case of Medjugorje

Although there is an abundance of studies on secular tourist satisfaction and perceived quality of respective tourist destinations, these issues have remained largely neglected when it comes to pilgrimage destinations. The objective of this paper thus is to investigate the key drivers of tourist satisfaction in a pilgrimage destination context by using the case of Medjugorje, one of the most renowned shrines to the Virgin Mary in the world. A recently proposed moderated regression analysis is used to explore whether individual destination attributes can be classified into factors with either a larger or smaller potential to generate satisfaction than dissatisfaction, according to the three‐factor theory of customer satisfaction. Copyright © 2012 John Wiley & Sons, Ltd.     

Option pricing with orthogonal polynomial expansions

We derive analytic series representations for European option prices in polynomial stochastic volatility models. This includes the Jacobi, Heston, Stein–Stein, and Hull–White models, for which we provide numerical case studies. We find that our polynomial option price series expansion performs as efficiently and accurately as the Fourier‐transform‐based method in the nested affine cases. We also derive and numerically validate series representations for option Greeks. We depict an extension of our approach to exotic options whose payoffs depend on a finite number of prices.     

The Jacobi stochastic volatility model

We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log-returns admits a Gram–Charlier A expansion with closed-form coefficients. We derive closed-form series representations for option prices whose discounted payoffs are functions of the asset price trajectory at finitely many time points. This includes European call, put and digital options, forward start options, and can be applied to discretely monitored Asian options. In a numerical study, we show that option prices can be accurately and efficiently approximated by truncating their series representations.     

Antecedents of consumers' time perceptions in a hypermarket retailer

This study examines the effects of five antecedents on consumers' time perceptions in a hypermarket environment. Findings indicate that the actual shopping time spent in the store and planned shopping activities significantly influence consumers' shopping time perceptions, while consumers' waiting time perceptions are driven by both actual checkout waiting time and actual shopping time. The article examines time gaps, i.e. consumers' errors in time estimation, as related to store loyalty intention and finds that past consumer purchases moderate the relationship between both time gaps and store loyalty intention. Managerial implications are discussed in the article.     

Unspanned stochastic volatility in the multifactor CIR model

Empirical evidence suggests that fixed‐income markets exhibit unspanned stochastic volatility (USV), that is, that one cannot fully hedge volatility risk solely using a portfolio of bonds. While Collin‐Dufresne and Goldstein (2002, Journal of Finance, 57, 1685–1730) showed that no two‐factor Cox–Ingersoll–Ross (CIR) model can exhibit USV, it has been unknown to date whether CIR models with more than two factors can exhibit USV or not. We formally review USV and relate it to bond market incompleteness. We provide necessary and sufficient conditions for a multifactor CIR model to exhibit USV. We then construct a class of three‐factor CIR models that exhibit USV. This answers in the affirmative the above previously open question. We also show that multifactor CIR models with diagonal drift matrix cannot exhibit USV.     

On the relation between linearity‐generating processes and linear‐rational models

We review the notion of a linearity‐generating (LG) process introduced by Gabaix and relate LG processes to linear‐rational (LR) models studied by Filipovi? et al. We show that every LR model can be represented as an LG process and vice versa. We find that LR models have two basic properties that make them an important representation of LG processes. First, LR models can be easily specified and made consistent with nonnegative interest rates. Second, LR models go naturally with the long‐term risk factorization due to Alvarez and Jermann, Hansen and Scheinkman, and Qin and Linetsky. Every LG process under the long forward measure can be represented as a lower dimensional LR model.     

A NOTE ON THE DAI–SINGLETON CANONICAL REPRESENTATION OF AFFINE TERM STRUCTURE MODELS*

Dai and Singleton (2000) study a class of term structure models for interest rates that specify the short rate as an affine combination of the components of an N‐dimensional affine diffusion process. Observable quantities in such models are invariant under regular affine transformations of the underlying diffusion process. In their canonical form, the models in Dai and Singleton (2000) are based on diffusion processes with diagonal diffusion matrices. This motivates the following question: Can the diffusion matrix of an affine diffusion process always be diagonalized by means of a regular affine transformation? We show that if the state space of the diffusion is of the form for integers satisfying or , there exists a regular affine transformation of D onto itself that diagonalizes the diffusion matrix. So in this case, the Dai–Singleton canonical representation is exhaustive. On the other hand, we provide examples of affine diffusion processes with state space whose diffusion matrices cannot be diagonalized through regular affine transformation. This shows that for ), the assumption of diagonal diffusion matrices may impose unnecessary restrictions and result in an avoidable loss of generality.