Description: Since most cash flows being discounted in the value calculation are dependent on the forward rates, in the key-rate calculation forwards (not spots) should be shifted. I will show that if spots are shifted up/down, they would not necessarily result in forwards being up/down for all the years in the particular key rate, resulting in unexpected results. I will further show how metrics calculated by shifting forwards versus spots enhance the accuracy of the approximation of projected value in various rate environments.

Description: This article discusses the possibility of high inflation down the road. The high levels of debt incurred due to the COVID-19 pandemic will be difficult for many countries to support. Central bank activity is "standing in the gap" but this is not necessarily the optimal solution. Inflation can also become an issue due to contagion coming from less financially stable countries, resulting a crisis of confidence, driving up interest rates.

Description: This paper shows how the results of copula based capital aggregation models can always be locally approximated by relatively simple formulas. The paper defines the concepts of diversification factor and tail correlation matrix and describes methods for estimating these quantities from simulated data. We show how these ideas can be put into practice as both computational shortcuts and presentation tools.

Description: This article presents recent developments and trends with respect to Economic Capital based on the work of the EC subgroup of the SOA's Risk Management Task Force.