Using Expected Geometric Values to Calculate the Cost of Interest in Hyper-inflationary Environments: the Case of Venezuela

  • J. Tim Query New Mexico State University, MSC 3FIN, Las Cruces, NM 88003 U.S.A.
  • Evaristo Diz Cruz Universidad Católica Andrés Bello, Venezuela Santa Paula Professional Center Tower B, 8th Floor, Ofic. 803 Av. Circunvalación del Sol, Urb. Holy Paula El Cafetal, Caracas 1061-A, Venezuela
Keywords: Acuatuarial liabilities, Social security, Projected benefit, Macaulay duration

Abstract

It is of vital importance to explore the relationship between pensions and inflationary levels because this forms a link between social policy and economic development in the context of Venezuela’s challenging economy and its impact on the development of pension systems. With such rampant inflation, companies must adjust the rates of salary increases to avoid a significant decrease in the purchasing power of income from defined benefit plans. Our research seeks to find the possibility of using an average geometric rate of future interest rates expressed as an expected value to discount obligations. Consequently, the cost of interest associated with the actuarial liability of the Benefit plans increases substantially in the next fiscal period to the actuarial valuation, sometimes compromising its sustainability over time. In order to minimize this problem, two scenarios for calculating the interest rate are proposed to smooth out this volatile effect; both are based on a geometric average with the expectation of working life or with the duration of the obligations. We are careful to use a reasonable interest rate that is not so high as to compromise the cash flow, resulting in skewed annual results of the companies. Our research seeks to find the possibility of using an average geometric rate of future interest rates expressed as an expected value to discount obligations. We formulate and actuarially evaluate two different scenarios, based on job expectations and Macaulay's duration, of the obligations that allow the sustainability of the plan in an environment of extremely high inflation. To illustrate the impact of the basic annual expenditure of the period, the results of an actuarial valuation of an actual Venezuelan company were utilized. Despite some companies adjusting their book reserves increasingly through a geometric progression, the amounts associated with the costs of interest would be huge in any such adjustment pattern. Therefore, we suggest adoption of one of the alternatives described in the research.

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Author Biographies

J. Tim Query, New Mexico State University, MSC 3FIN, Las Cruces, NM 88003 U.S.A.

Professor & Mountain States Insurance Group Endowed Chair

Evaristo Diz Cruz, Universidad Católica Andrés Bello, Venezuela Santa Paula Professional Center Tower B, 8th Floor, Ofic. 803 Av. Circunvalación del Sol, Urb. Holy Paula El Cafetal, Caracas 1061-A, Venezuela

President, EDiz Actuarial Services and Consulting Academic Director

Published
2019-12-31
Section
Articles