Crabbe, Leland E. and Christopher M. Turner, "Does the Liquidity of a Debt Issue Increase with Its Size? Evidence from the Corporate Bond and Medium-Term Note Markets", Journal of Finance, Vol. 50, No. 5, (December 1995), pp. 1719-1734.

Abstract: To investigate the liquidity of large issues, this study tests for yield differences between corporate bonds and medium-term notes (MTNs). In the sample, MTNs have an average issue size of $4 million, compared with $25 million for bonds. Among MTNs that have the same issuance date, the same maturity date, and the same corporate issuer, we find no relation between size and yields. Moreover, bonds and MTNs have statistically equivalent yields. Thus, rather than suggesting that large issues have greater liquidity, these findings indicate that large and small securities issued by the same borrower are close substitutes.