The qualitative behaviour of the optimal premium strategy is determined for an insurer in a finite and an infinite market using a deterministic general insurance model. The optimisation problem leads to a system of forward-backward differential equations obtained from Pontryagin's Maximum...

The asymptotic behaviour of the optimal investment strategy for an insurer is analysed for a number of cash flow processes. The insurer's portfolio consists of a risky stock and a bond and the cash flow is assumed to be either a normal or a compound Poisson process. For a normally distributed...

Insurance premiums are calculated using optimal control theory by maximising the terminal wealth of an insurer under a demand law. If the insurer sets a low premium to generate exposure then profits are reduced, whereas a high premium leads to reduced demand. A continuous stochastic model is...

In retirement a pensioner must often decide how much money to withdraw from a pension fund, how to invest the remaining funds, and whether to purchase an annuity. These decisions are addressed here by introducing a number of income drawdown schemes, which are relevant to a defined-contribution...

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...

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...

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)....

In this note we introduce a theoretical model for the pricing and valuation of guaranteed annuity conversion options associated with certain deferred annuity pension-type contracts in the UK.The valuation approach is based on the similarity between the payoff structure of the contract and a call...

In this communication, we review the fair value - based accounting framework promoted by the IASB Insurance Project for the case of a life insurance company. In particular, by means of a simple participating contract with minimum guarantee, we compare the fair value approach with the...