This paper is concerned with problems in modeling life insurance savings flows. Specifically, the paper focuses on: (1) the relationship between savings flows and inflationary anticipations, (2) the appropriate measure of inflationary anticipations, (3) stability of estimated relationships overtime, and (4) the use of the Almon method of estimating distributed lag models. No consistent relationship appears to exist between short-term anticipated inflation and savings flows, and savings equations estimated for the 1960s and early 1970s differ significantly from those using data from the 1950s. Further work is needed on modeling life insurance savings flows, specifically on the definition of the savings variable, time period of estimation, and form of the distributed lag process. This study is concerned with several issues and problems encountered by previous attempts to estimate a time series model of savings flows through the life insurance sector in the presence of inflationary anticipations. The discussion is based on a standard model utilized in previous work, but focuses on issues that have not been given adequate treatment in the past. Specifically, the paper is concerned with the following issues: (1) the degree to which savings flows are influenced by inflationary anticipations, (2) the appropriate measure of inflationary anticipations, (3) structural stability or instability,of the estimated savings model over long periods of time, and (4) the appropriateness of the Almon method of estimating distributed lag models of life insurance savings. The latter two issues are discussed primarily in the context of life insurance savings flows; however, they have much broader implications and deal with general problems encountered in any econometric estimation using time series data and distributed lag relationships. Thomas F. Cargill is Professor of Economics at the University of Nevada, Reno. Dr. Cargill has published numerous papers in professional journals dealing with monetary economics and applied econometrics. He is the author of Money, the Financial System, and Monetary Policy published in 1979 by Prentice-Hall, Inc. Dr. Terrie E. Troxel is Director of Research, the National Association of Independent Insurers. He holds the CPCU and the CLU designations. Prior to his current position he was on the staff of the American Institute for Property and Liability Underwriters. He is coauthor of Property-Liability Insurance Accounting and Finance published in 1978 by the American Institute for Property and Liability Underwriters. He was chairman of the 1979 Risk Theory Seminar of the American Risk and Insurance Association. The authors express appreciation to members of the 1977 Risk Theory Seminar for helpful comments on an earlier version of this paper and to the anonymous referees for their constructive suggestions.