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Peer-reviewed theory · 2010

Long-term capital growth: the good and bad properties of the Kelly and fractional Kelly capital growth criteria

Leonard C. MacLean, Edward O. Thorp, William T. Ziemba · Quantitative Finance

Main finding

Kelly maximises long-run growth but can be very risky in the short run; fractional Kelly trades some growth for substantially lower risk.

Limitations

Assumes known return distributions in the main results.

Study details

Authors
Leonard C. MacLean, Edward O. Thorp, William T. Ziemba
Published
2010
Venue
Quantitative Finance 10(7), 681–687
Status
Published
Evidence type
Peer-reviewed theory
Evidence strength
Moderate (our assessment of how much weight the finding can bear)
Sport
None specific
Markets
General investment and betting
Method
Reviews the long-run and short-run properties of Kelly and fractional Kelly strategies.
Sample
Not applicable.
Replication
Not applicable.

Read the original

doi:10.1080/14697688.2010.506108 (opens in a new tab)

Our summary is an original paraphrase for education. Verification: Bibliographic record checked against publisher, index or author listings. Checked 2026-10-25.

MacLean, Thorp & Ziemba (2010) · Evidence Library · WCWins