This paper describes a framework of how to optimally implement linear filters for finite time series. The filters under consideration have the property that they minimize the mean squared error compared to some ideal hypothetical filter. It is shown in examples that three commonly used filters,...

By the end of 2017, 27 cryptocurrencies topped a market capitalization of one billion USD. Bitcoin is still shaping market and media coverage, however, recently we faced a vibrant rise of other currencies. As a result, 2017 has also witnessed the advent of a large number of cryptocurrency-funds....

We propose a new approach that allows for incorporating qualitative views, such as ordering information, into estimates of future asset returns within the Black-Litterman model. We develop a mathematical framework and numerical computation methods for this setting. We find importance sampling to...