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LaPlace Transforms as Present Value Rules: A Note

Journal of Finance 1986 41(1), 243-247
ABSTRACT The present value equation in finance is shown to be equivalent to the Laplace transformation in mathematics. Based on this observation, the list of known analytic solutions for the present value problem is increased from a handful to more than one hundred. General properties of the Laplace transform are examined as well in light of the newly discovered significance for finance.

Empirical determinants of the relative yields on taxable and tax-exempt securities

Journal of Financial Economics 1986 17(2), 335-355
Yields on short-term prime-grade municipals vary through time in relation to after-corporate-tax yields on short-term U.S. Treasury securities. The pattern is not related to the default premium in municipal yields or to the historical ceiling on bank deposit rates (Regulation Q). However, there is a strong link to the default premium in corporate yields and to municipal holdings by large commercial banks. These findings suggest that taxable and tax-exempt markets are linked both by the capital-structure decisions of firms and by the tax-arbitrage activities of banks.