This paper establishes some enlightening connections between the explicit formulas of the finite-time ruin probability established by Ignatov and Kaishev (2000, 2004) and Ignatov et al. (2001) for a risk model allowing dependence. The numerical properties of these formulas are investigated and...

We derive a new, efficient closed-form formula approximating the price of discrete look-back options, whose underlying asset price is driven by an exponential semi-martingale process including (jump) diffusions, Levy models, affine processes and other models. The derivation of our pricing...

An essential input of annuity pricing is the future retiree mortality. From observed age-specific mortality data, modeling and forecasting can take place in two routes. On the one hand, we can first truncate the available data to retiree ages and then produce mortality forecasts based on a...

During the past few decades, there has been a steady shift from traditional defined benefit (DB) pension plans to defined contribution (DC) pension plans. In a DC pension plan, retirees have to make decisions on how to spend their accumulated retirement funds. Although it has been proved...

Although researchers have shown that purchasing longevity insurance at retirement guarantees pensioners of a high annual income for the rest of their lives, most retirees (who have a choice) choose to take the lump sum and self-manage the portfolio. This is a long-standing puzzle called the...

The improvements in mortality rates have been under investigation in many studies across the 20th century, especially in developed countries. Current literature assumes that mortality indice can be forecasted independently through the model ARIMA (Autoregressive Integrated Moving Average)....

Intra-group transfers are risk management tools that are usually widely used to optimise the risk position of an insurance group. In this paper, it is shown that premium and liability transfers could be optimally made in such a way as to reduce the amount of Technical Provisions and Minimum...