Valuing American-style options under the CEV model: an integral representation based method

Review of Derivatives Research - This article derives a new integral representation of the early exercise boundary for valuing American-style options under the constant elasticity of variance (CEV)...     

The role of managerial risk‐taking in the ‘rise and fall’ of the CDS market

Since the innovation of credit default swaps (CDSs) in 1997, the market for CDSs grew dramatically to $62 trillion in 2007 (ISDA 2010). However, this market declined significantly with the onset of the GFC, prompting the question, ‘What lies behind the phenomenal growth and the eventual collapse of the CDS market?’ Using CDS spread data from 319 bank and non‐bank financial institutions across 33 countries over the period 2001–2010, I provide evidence of the determinants that affect risk‐taking by financial institutions, proxied by CDS spreads, and argue within an agency theoretical framework that managerial risk‐taking contributed to the ‘rise and fall’ of the CDS market.     

Using mean reversion as a measure of persistence

This paper suggests a new scalar measure of persistence together with a companion estimator, which has the advantage of not requiring the specification and estimation of a model for the series under investigation. The statistical properties of the companion estimator are established, which allow tests of hypotheses to be performed, under very general conditions. The use of the new measure is illustrated by re-evaluating persistence of inflation for the United States and the Euro Area. The conclusions for the United States do not differ significantly from what has been found in previous empirical studies. However, for the Euro Area we find evidence of a significant break occurring in 2001/2002, such that persistence becomes virtually nil for the period that follows the launch of the euro and the implementation of a common monetary policy by the European Central Bank.     

Inflation (mis)perceptions in the euro area

There has been a growing interest on inflation perceptions in the euro area, in particular, following the euro cash changeover. It has been pointed out that a gap emerged between observed and perceived inflation since the introduction of the euro notes and coins. Such a statement relies on the fact that inflation perceptions, measured by the well-known balance statistic from the European Commission’s consumer survey, hiked after January 2002 and remained high thereafter, as opposed to the observed inflation, which has remained fairly stable. In this paper, we discuss the measurement of inflation perceptions, by comparing the balance statistic with a refined alternative measure, which is computed using the probability method. We argue that the balance statistic should be used carefully, as it can lead to misleading conclusions. In fact, we find no evidence, both for euro area and individual countries, of the breakdown in the relationship between observed and perceived inflation, as measured by the proposed alternative measure, at the time of the euro cash changeover.     

Minimum cost spanning tree problems with groups

We study minimum cost spanning tree problems with groups. We assume that agents are located in different villages, cities, etc. The groups are the agents of the same village. We introduce a rule for dividing the cost of connecting all agents to the source among the agents taking into account the group structure. We characterize this rule with several desirable properties. We prove that this rule coincides with the Owen value of the TU game associated with the irreducible matrix.     

Pricing and static hedging of European-style double barrier options under the jump to default extended CEV model

This paper develops two novel methodologies for pricing and hedging European-style barrier option contracts under the jump to default extended constant elasticity of variance (JDCEV) model, namely: a stopping time approach based on the first passage time densities of the underlying asset price process through the barrier levels; and a static hedging portfolio approach in which the barrier option is replicated by a portfolio of plain-vanilla and binary options. In doing so, both valuation methodologies are extended to a more general set-up accommodating endogenous bankruptcy, time-dependent barriers and the commonly observed stylized facts of a positive link between default and equity volatility and of a negative link between volatility and stock price. The two proposed numerical methods are shown to be accurate, easy to implement and efficient under both the JDCEV model and the nested constant elasticity of variance model.     

Feedback effects of credit ratings

Rating agencies are often criticized for being biased in favor of borrowers, for being too slow to downgrade following credit quality deterioration, and for being oligopolists. Based on a model that takes into account the feedback effects of credit ratings, I show that: (i) rating agencies should focus not only on the accuracy of their ratings but also on the effects of their ratings on the probability of survival of the borrower; (ii) even when rating agencies pursue an accurate rating policy, multi-notch downgrades or immediate default may occur in response to small shocks to fundamentals; (iii) increased competition between rating agencies can lead to rating downgrades, increasing default frequency and reducing welfare.     

Stylised features of consumer price setting behaviour in Portugal: 1992–2001

This paper identifies the empirical stylized features of consumer price setting behavior in Portugal using two micro-datasets underlying the consumer price index. The main conclusions are: one in every four prices change each month; there is a considerable degree of heterogeneity in price setting practices; prices of goods change more often than prices of services; price reductions are common, as they account to around 40% of total price changes; price changes are, in general, sizeable; finally, the price setting patterns seem to depend on the level of inflation as well as on the type of outlet.

A new approach to bad news effects on volatility: the multiple-sign-volume sensitive regime EGARCH model (MSV-EGARCH)

In this paper, using daily data for six major international stock market indexes and a modified EGARCH specification, the links between stock market returns, volatility and trading volume are investigated in a new nonlinear conditional variance framework with multiple regimes and volume effects. Volatility forecast comparisons, using the Harvey-Newbold test for multiple forecasts encompassing, seem to demonstrate that the MSV-EGARCH complex threshold structure is able to correctly fit GARCH-type dynamics of the series under study and dominates competing standard asymmetric models in several of the considered stock indexes.