Description: This is a stochastic model used to find the distribution of the discounted value of all future cash-flows.

Description: This paper is part of The research project dealing with pension accounting, more precisely with Statement of Financial Accounting Standards No. 87 [or FAS 87]. The goal of the project is to study the variability of pension accounting costs under FAS 87. In this paper, the author addresses only one specific point, namely the behavior of experience gains and losses over time. This is directly related to the corridor approach to amortization of gains and losses. However, what is said also applies to experience gains and losses in other areas, particularly in pension funding and insurance. From Actuarial Research Clearing House 1993, Vol. 1.

Description: Several authors have used Fourier inversion to compute prices of puts and calls, some using Parseval’s theorem. The expected value of max[S K,0] also arises in excess-of-loss of stop-loss insurance. This is the abstract of a paper that shows that Fourier methods may be used to compute them. The authors take the idea of using Parseval’s theorem further: 1. formulas requiring weaker assumptions, 2. relationship with classical inversion theorems for probability distributions, 3. formulas for pay-offs which occur in insurance. Numerical examples are provided.

Description: This abstract describes a paper that considers the square-root process and its time integral as they occur in pricing options in stochastic volatility models.

Description: This paper presents a solution to the problem of discounting cash flows when the cash flows and discount factors are random variables with given distributions.

Description: This paper gives analytic approximations for the distribution of a stochastic life annuity.

Description: This is the abstract for the presentation on option pricing with stochastic volatility: applying Parseval's theorem.

Description: This paper addresses the extension of the theory of life contingencies to a stochastic interest environment and its application to solvency valuation and surplus. A discussion of the paper follows. From Transactions of Society of Actuaries 1990, Vol. 42.

Description: This paper focuses on two aspects of SFAS 87. The first is the availability of the discount rate, and its consequences. The second is the corridor approach to gains and losses amortization. From Actuarial Research Clearing House 1993, VOL. 2.

Description: In the classical risk theoretic model with Poisson claim arrival and exponential claims, consider the discounted value of claims nos. 3, 6, 9, and so on. [To risk theory specialists, considering every third claim in a Poisson arrival process is the same as assuming waiting times are Erlang[3] in a Sparre-Andersen model.] The distribution of the discounted value of future claims can be found. It turns out that this is the same as the distribution of the product of two independent variables, one having a gamma distribution, the other a 'complex-parameter beta product distribution'. The latter will be defined, it involves extending the usual beta distribution.