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INTEREST RATE RISK MANAGEMENT: DEVELOPMENTS IN INTEREST RATE TERM STRUCTURE MODELING FOR RISK MANAGEMENT AND VALUATION OF INTEREST-RATE-DEPENDENT CASH FLOWS
Andrew Ang* and Michael Sherris†

ABSTRACT
This paper surveys the main concepts and techniques of recent developments in the modeling of the term structure of interest rates that are used in the risk management and valuation of interest-rate-dependent cash flows. These developments extend the concepts of immunization and matching to a stochastic interest rate environment. Such cash flows include the cash flows on assets such as bonds and mortgage-backed securities as well as those for annuity products, life insurance products with interest-rate-sensitive withdrawals, accrued liabilities for definedbenefit pension funds, and property and casualty liability cash flows.

1. INTRODUCTION
The aim of this paper is to discuss recent developments in interest rate term structure modeling and the application of these models to the interest rate risk management and valuation of cash flows that are dependent on future interest rates. Traditional approaches to risk management and valuation are based on the concepts of immunization and matching of cash flows. These ideas were pioneered in the actuarial profession by the British actuary Frank Redington (1952). Interest rates have long been recognized as important to the risk management of insurance liabilities. Recent developments have incorporated a stochastic approach to modeling interest rates. A number of actuaries were early pioneers in this area, including John Pollard (1971), Phelim Boyle (1976, 1978), and Harry Panjer and David Bellhouse (1980, 1981). Only a small number of actuaries have been actively involved in international developments in these areas over more recent times. These have included

* Andrew Ang is a doctoral student at the Graduate School of Business,

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