Description: In this note, the asymptotic behavior of the probability of ruin is derived by means of infinitesimal generators and Laplace transforms. Using these same tools, it is shown that the probability of ruin has an algebraic decay rate if the insurance company invests its capital in a risky asset with a price which follows a geometric Brownian motion. The latter result is shown to be valid not only for exponentially distributed claim amounts, as in Frolova et al. 2002, but, more generally, for any claim amount distribution that has a moment generating function defined in a neighborhood of the origin.

Description: Recently, there has been growing interest among insurance and investment experts to focus on the use of a tail conditional expectation as a measure of risk, since it shares properties that are considered desirable and applicable in a variety of situations. This paper examines above risk measure in the case of a multivariate gamma portfolio. We demonstrate the explicit formulas for tail conditional expectation and based on it capital allocation when the proposed multivariate model consists of dependent and independent gamma marginals

Description: In this paper, we illustrate how to value American-style options using the Least-Squares Monte Carlo LSM approach proposed by Longstaff and Schwartz 2001 and investigate whether there exists an optimal regression complexity in the LSM framework for options pricing. In particular, we use the smoothing spline in the regression step, which allows us to control the regression complexity on a continuous scale with just one tuning parameter. Numerical results on American put options indicate that we need to use more than a linear regression, but as the regression becomes more complex, the accuracy of the LSM method quickly deteriorates. From 39th Actuarial Research Conference.

Description: This paper examines claim transaction data as experienced in the Canadian pet insurance industry. The current practice is to use an exposure unit approach to estimate the pure premium cost. This approach is applied in this paper in order to reveal certain cost patterns in accident, illness and death benefit costs.

Description: This paper investigates the optimal multi-period proportional reinsurance strategy that minimizes the ruin probability of an insurer. Some conditions under which it is optimal to have no reinsurance are derived. Based on these results, a new concept, capital threshold of proportional reinsurance, is introduced. In the case of two periods, a lower bound of the capital threshold of proportional reinsurance is provided. Some economic implications and properties of this new concept are also discussed.

Description: This article addresses a specific PGAAP issue companies have faced recently in implementing PGAAP, specifically, whether it is appropriate, under current purchase accounting guidance, to defer heaped renewal commissions. From Society of Actuaries Financial Reporting Monograph, M-AS99-1.

Description: In developing the economic assumptions for use in an appraisal, a team approach must be used. The investment bankers, external actuaries, and the company's financial area research current and historic economic conditions to develop an internally consistent base scenario. To be successful all parties must be comfortable with this scenario and its implications on production, investment yields, and, ultimately, distributable earnings. From Actuarial Considerations in Insurance Mergers and Acquisitions, M-FI03-1.

Description: One of the primary goals of the actuarial appraisal is to provide enough information for potential investors to make informed judgments as to the potential value of a property. From Actuarial Considerations in Insurance Mergers and Acquisitions, M-FI03-1.

Description: Generally, the assets acquired by financial institutions have their values determined by established capital markets. However, the firm's liabilities become customer's' private placement assets and their value must be calculated by the firm. This monograph discusses the theoretical bases for modeling the liabilities consistently with the assets. From Asset-Liability Integration, M-FI02-1.

Description: Actuaries measure, model, and manage risks. Risk associated with the investment function is a major uncertainty faced by many insurance companies. Actuaries should have knowledge of the asset side of the balance sheet of an insurance company and how it relates to the liability side. From Securitization of Insurance Risk: The 1995 Bowles Symposium, M-FI97-1.