Description: This is the abstract of a paper that derives expressions for the moments of the distribution of the option payoff in a Black Scholes economy. These results are of interest from a purely statistical viewpoint. They may also be of interest given the current importance of value at risk calculations. The paper also derives formulae for the moments of barrier options and provides numerical examples.

Description: This abstract describes a paper that derives a simple explicit solution for an efficient portfolio with positive weights.

Description: The purpose of this paper is to survey some new results concerning the term structure of interest rates and discuss actuarial applications. The term structure of interest rates exhibits the relationship among the yields on default free debt instruments of different maturities. Although there is a considerable volume of literature dealing with the determinants of the term structure the analysis has until recently been presented for the most part in a deterministic i.e. non- stochastic framework. This constrasts with the treatment of capital assets where equilibrium prices have been obtained under the assumption that returns on these assets are random variables.

Description: Group life insurance often represents an important component of the typical employee benefit package. The purpose of the present paper is to explore some aspects of different benefit schedules. In this paper, a method is suggested for analysing group life insurance benefit schedules with respect to certain criteria. The procedure is illustrated by means of simple numerical examples.

Description: In this paper, the authors assess the value of a GSA-type annuity within a retiree's portfolio.

Description: The purpose of the present paper is to discuss some of the methods by which fertility variations can be incorporated into population forecasts. From ARCH 1984, Vol. 1.

Description: These are the abstract and reference of the paper 'Bounds on Multiple Contingent Claims'. Lo considered the problem on bounding a European option on a single asset. He obtained an upper bound on the payoff of the European call in terms of the mean and variance of the underlying asset. In this talk, we extend Lo's result to the multi-asset case. Unlike the one asset case, the correlations between the assets play an important role and have to be taken into consideration.

Description: This abstract describes a paper that proposes the use of the Co Conditional Tail Expectation 'CoCTE' to measure systemic risk and endogenizes the pro-cyclicality of capital requirements.

Description: This paper examines the so called 1/n investment puzzle which has been observed in defined contribution plans whereby some participants divide their contributions equally among the available asset classes. It has been argued that this is a very naive strategy since it contradicts the fundamental tenets of modern portfolio theory. We use simple arguments to show that this behavior is perhaps less naive than it at first appears. We show that when we account for estimation error the 1/n rule has some advantages in terms of robustness and we demonstrate this with numerical experiments. From The Actuarial Research Council, Volume 38, No. 1.

Description: In this paper, the authors assess the value of a GSA-type annuity within a retiree's portfolio.