Monthly returns on twenty-seven Eurobonds from July 1982 to June 1986 were examined. There were no consistent differences in returns based on the country in which a firm is located. There were consistent differences due to industry classification, with energy-related firms exhibiting higher average returns and variances. Excess returns were calculated using the capital asset pricing model and arbitrage pricing theory. The results from calculation of mean average deviation, root mean square, and R2 all indicate that the arbitrage pricing theory was a better descriptor of the Eurobond market. The excess returns were also examined using stochastic dominance. Arbitrage pricing theory never dominated the capital asset pricing model using first-order criteria, but consistently dominated using second-order criteria. The results were discussed in terms of the implications for investors and portfolio managers.