Interest Rate Uncertainty and the Optimal Debt Maturity Structure

Abstract

As demonstrated by Boyce and Kalotay (1979) and Brick and Ravid (1985), the use of long-term debt may be preferred because of tax-related advantages. Brick and Ravid show that if there exists a tax advantage to debt and nonstochastic interest rates, long-term debt will increase the present value of the tax benefits of debt if the term structure of interest rates, adjusted for risk of default, is increasing. A decreasing term structure, on the other hand, calls for short-term debt. The present paper extends the tax-induced argument of Brick and Ravid to allow for the presence of stochastic interest rates. Once interest rates are uncertain, pricing even under risk neutrality becomes a complex issue. We analyze the debt maturity decision under two competing pricing equations: the return to maturity expectations hypothesis and the local expectations hypothesis. (This terminology is used in Cox, Ingersoll, and Ross (1981) and Campbell (1986).) Under uncertainty, a debt capacity factor will create an additional incentive to issue long-term debt. Our other results may be interpreted to indicate that if the term premium, the difference between the implied forward interest rate and the future expected spot rate, is positive (sufficiently negative) then long-term (short-term) debt maturity strategy is optimal.