This paper analyses the stochastic properties of UK nominal and real wages over the period 1750-2015 using fractional integration techniques. Both the original series and logged ones are analysed. The results generally suggest that nominal wages exhibit a higher degree of persistence, which...

This study investigates asymmetric mean reversion in the real returns of large- and small-cap US stocks for one- to ten-year periods. The return distributions are estimated with 1,000 random block bootstraps of 240-month returns from 1926-2017. Large-cap stock returns show significant asymmetric...

Stock prices are well known to exhibit behaviors that are difficult to model mathematically. Individual stocks are observed to exhibit short term price reversals and long term momentum, while their industries only exhibit momentum. Here we show that individual stocks can be modeled by simple...

The contribution of this paper is twofold: we study power utility maximization problems (with and without intermediate consumption) in a partially observed financial market with jumps and we solve by the innovation method the arising filtering problem. We consider a Markovian model where the...

This text presents a study of various models based on jump processes in the context of foreign exchange (FX) rates modeling. Quality of FX rate log-returns fit is assessed for models such as Merton and Kou jump-diffusions, normal inverse Gaussian, variance gamma, and Meixner. The study is...

Constant proportion portfolio insurance (CPPI) strategies implemented in continuous time on asset prices following geometric Brownian processes are expected utility maximising for investors with HARA utilities. But, in reality, these strategies are implemented in discrete time and asset prices...

We present a comprehensive framework for comparing the merits of alternative portfolio insurance strategies in realistic contexts. Our findings add generality to previous results comparing option based and constant proportionality portfolio insurance strategies (OBPI and CPPI). The optimal OBPI...