Abstract

Journal of Actuarial Practice

Volume 10, Numbers 1 and 2, 2002


Model Risks and Surplus Management Under a Stochastic Interest Rate Process

Shih Jennifer L. Wang and Rachel J. Huang

Abstract

This paper uses simulations to explore the effects of incorrectly identifying the underlying interest rate process on assets, liabilities, and surplus levels.  We show that mismodeling the interest rate (called model risk) could not only lead to a misstatement of the company's surplus, but could also cause a mismatch between the company's assets and liabilities. Our simulations demonstrate that three aspects of interest rates affect model risk: (i) volatility, (ii) level of long-term interest rate, and (iii) the speed at which the drift rate adjusts. We conclude that asset-liability managers should not ignore the impact of the model risks, regardless of the length of their planning horizon.  

Key words and phrases: asset and liability management, immunization strategy, interest rate risk, model risk.

Corresponding Author:

Jennifer L. Wang

Department of Risk Management and Insurance

National Chengchi University

64, Sec. 2, Chihnan Rd.

Taipei, 116

Taiwan R.O.C


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