Description: In this paper we investigate three investment-consumption problems for a risk averse investor: i an investment only problem that involves utility from only terminal wealth, ii an investment-consumption problem that involves utility from only consumption, and iii an extended investment-consumption problem that involves utility from both consumption and terminal wealth. We model these problems under a multiperiod setup that incorporates three types of uncertainties: the economic environment uncertainty, the asset return uncertainty, and the mortality uncertainty. By using dynamic programming, analytical expressions of the optimal investment consumption strategies to these problems are derived. Some economic implications on these results are also discussed.

Description: Diverse Risks 2016 Call for Essays

Description: We consider Libor market model and calibration process. We estimate some interest rate derivatives such as Caps and Swaptions. We use Monte Carlo methods with appropriate dynamics under spot measure and forward measure. Imposing martingale discretization property, the same quantities are estimated again to see a contrast or discrepancy in light of confidence interval. Based on algorithms discussed in the paper, “Arbitrage-free discretizations of lognormal forward Libor and swap rate models” by Glasserman, P and Zhao, X 2000, the algorithms are implemented in excel VBA. Starting with current market data such as FRAs and Bond Prices, we describe steps involved to estimate the price of interest rate derivatives such as Caps and Swaptions, which would be beneficial to the practitioners in the industry.

Description: This article presents a case study that examines the implication of using real-world interest rate scenario generators with a block of fixed deferred annuities. We contrast cash flow testing results based on New York 7 deterministic scenarios to stochastic scenarios generated with the Academy Interest Rate Generator , as well as an alternative economic scenario generator designed explicitly to capture the risk of a persistently low interest rate environment and the transition to a rising interest rate environment.

Description: This article provides an overview of the different types of real world interest rate scenarios that practitioners use in the life insurance industry and explores different approaches to building those generators.

Description: The impact of bond default risk on retirement benefit obligations describes how the probability default on a bond is similar to the probability of death for an annuitant. Bonds are used to cash flow match retirement obligations cash flows to funding from bond. Just as the probability of non-payment happens on the liability side, we can do the same with selected bonds. The end result may be an adjustment to the discount rates used.

Description: Exploration of sources of volatility in retiree health valuations, noting how volatility arises and might be mitigated, with discussion of valuation parameters more problematic for retiree health benefits than for pensions. Three significant influences on retiree health valuation volatility are covered-- changes in benefit level, fluctuations in cost level, and alterations in eligibility for, or duration of, benefit – and attention focused on the last two. Specific conclusions result in recommendations, which are supported by practical examples contrasting volatile measurement results with those likely from the recommended practices. Theoretical discussion includes health claim variation, health trend usage, financial economics, option pricing, discount rates, and deterministic vs. stochastic modeling.

Description: Since insurance contract liabilities are uncertain in amount, an estimate is required. And under most accounting frameworks, the estimate of an uncertain amount should contain some sort of margin for uncertainty. This paper provides a mathematical connection between that margin and the market price of risk as measured by the cost of capital. The connection makes use of the theory of utility and an exponential utility curve.

Description: The purpose of this discussion is to introduce a few additional points and discuss how different assumptions will alter the results in some cases.

Description: Using basic actuarial principles to develop a reasonable spending budget and to keep spending/savings on track to meet financial objectives.