Evolution of reputation in networks: A mean field game approach

This work models the competitive behaviour of individuals who maximize their own utility managing their network of connections with other individuals. Utility is taken as a synonym of reputation in this model. Each agent has to decide between two variables: the quality of connections and the number of connections. Hence, the reputation of an individual is a function of the number and the quality of connections within the network. On the other hand, individuals incur in a cost when they improve their network of contacts. The initial value of the quality and number of connections of each individual is distributed according to an initial (given) distribution. The competition occurs over continuous time and among a continuum of agents. A mean field game approach is adopted to solve the model, leading to an optimal trajectory for the number and quality of connections for each individual.

An equity wealth preservation strategy: Following the macro trend

Financial crisis have happened in the past and will continue to do so in the future. In the most recent 2008 crisis, global equities (as measured by the MSCI ACWI index) lost a staggering 54.2% in USD, on the year. During those periods wealth preservation becomes at the top of most investor’s concerns. The purpose of this paper is to develop a strategy that protects the investment during bear markets and significant market corrections, generates capital appreciation, and that can support Millennium BCP’s Wealth Management Unit on their asset allocation procedures. This strategy extends the Dual Momentum approach introduced by Gary Antonacci (2014) in two ways. First, the investable set of securities in the equities space increases from two to four. Besides the US it will comprise the Japanese, European (excl. UK) and EM equity indices. Secondly, it adds a volatility filter as well as three indicators related to the business cycle and the state of the economy, which are relevant to decide on the strategy’s exposure to equities. Overall the results attest the resiliency of the strategy before, during and after historical financial crashes, as it drastically reduces the downside exposure and consistently outperforms the benchmark index by providing higher mean returns with lower variance.

Improving accuracy of inflation forecasts using macroeconomic information

This thesis examines the effects of macroeconomic factors on inflation level and volatility in the Euro Area to improve the accuracy of inflation forecasts with econometric modelling. Inflation aggregates for the EU as well as inflation levels of selected countries are analysed, and the difference between these inflation estimates and forecasts are documented. The research proposes alternative models depending on the focus and the scope of inflation forecasts. I find that models with a Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) in mean process have better explanatory power for inflation variance compared to the regular GARCH models. The significant coefficients are different in EU countries in comparison to the aggregate EU-wide forecast of inflation. The presence of more pronounced GARCH components in certain countries with more stressed economies indicates that inflation volatility in these countries are likely to occur as a result of the stressed economy. In addition, other economies in the Euro Area are found to exhibit a relatively stable variance of inflation over time. Therefore, when analysing EU inflation one have to take into consideration the large differences on country level and focus on those one by one.