Abstract
Both of the building blocks of the Treynor ratio (TR), the expected return and the portfolio beta, depend on the investment horizon. This raises a natural question: how to compare two portfolios using TR over different horizons? Previous studies show that there may be a ranking reversal. That is, one portfolio may look attractive at a short horizon but not at a longer horizon. We theoretically show that the ranking reversal is due to the compounding of simple returns. We propose to calculate the TR using log-returns, not simple returns. Since the multi-period log-returns are additive, there is no ranking reversal. We empirically corroborate the theory using portfolio of bonds, large and small stocks. Using robust bootstrapped estimates, we are the first to provide TR of several popular test assets over a long horizon (up to 30 years).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
