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1999issue C051-5

Match futures starting capital to system risk

A futures account that is too small for a system's typical equity swings can force a trader to stop after a large percentage drawdown even if the dollar path was already known in testing. An account that is too large can leave unused capital. Capitalization should follow the method rather than the instrument alone.

  • Undersizing a futures account relative to a system's typical equity swings can force a trader to stop after a large percentage drawdown even if the dollar path was already known in testing.
  • Oversizing an account relative to the same portfolio can leave unused capital and reduce the return earned on the money committed to that book.
  • Two traders holding the same futures contract still face different long-run account risk if their systems produce different equity-swing profiles, so capitalization should follow the method rather than the instrument alone.
  • An account-sizing process that first builds aggressive and conservative capital estimates, then averages them, lets a trader choose higher return with larger percentage drawdowns, lower return with smaller percentage drawdowns, or a midpoint between the two.
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Too little capital and too much capital

Undersizing a futures account relative to a system's typical equity swings can force a trader to stop after a large percentage drawdown even if the dollar path was already known in testing.

Oversizing an account relative to the same portfolio can leave unused capital and reduce the return earned on the money committed to that book.

Follow the method, not only the contract

Two traders holding the same futures contract still face different long-run account risk if their systems produce different equity-swing profiles, so capitalization should follow the method rather than the instrument alone.

Volatility position sizing and a Drawdown limit keep a loss or exposure decision bounded before a trade is placed and throughout the position. The starting balance still has to be large enough to live through that system's own equity-swing profile.

Rules of thumb stay coarser than a full trade history

Common rules of thumb such as three times margin, or margin plus a tested maximum drawdown, are safer than trading at exchange minimums but still coarser than sizing from a full trade history.

What Optimal f sizing does not constrain

Optimal f sizing converts a system's largest losing trade and its f value into a minimum account size for one contract, but that size is designed to maximize long-term growth and does not constrain drawdown.

In the supplied gold example, an optimal f of 0.33 and a largest losing trade of $3,000 implied $10,000 of capital for one contract.

Aggressive, conservative, and midpoint capital

An account-sizing process that first builds aggressive and conservative capital estimates, then averages them, lets a trader choose higher return with larger percentage drawdowns, lower return with smaller percentage drawdowns, or a midpoint between the two.

The worked five-contract portfolio produced an aggressive size of $61,690, a conservative size of $161,723, and a midpoint optimum of $111,706.

Reset to those starting balances each year, the aggressive book showed a 31.0% average annual return and a 50.9% worst drawdown, while the conservative book showed 11.8% and 19.4%, and the midpoint book showed 17.1% and 28.1%.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
7 of 12 in the Optimal f sizing track
19991-5 pp.Next on Optimal f sizingSearch system inputs together with Optimal f sizingA five-trade sequence with 3100 unlevered net profit produced a 43.3 percent Optimal f sizing fraction and a 40.87 percent compounded return.
All readings on this track · 12 readings
  1. 1990Constructing optimal f when trade sizes differ
  2. 1993Portfolio heat, optimal f, and drawdown limits
  3. 1994Construct historical-optimum-leverage from one equity-path
  4. 1995Optimal f as a leverage bound for commodity account growth
  5. 1998Secure f keeps Optimal f sizing inside a Drawdown limit
  6. 1998Optimal f contract counts versus equity fractions
  7. 1999Match futures starting capital to system risk
  8. 1999Search system inputs together with Optimal f sizing
  9. 2001Bounded crash risk with capital units and optimal f
  10. 2002Optimal f sizing and risk of ruin as exposure filters
  11. 2003Cap ruin and drawdown before optimal-f
  12. 2006Ruin odds, the Kelly fraction and optimal f as size filters
All 12 readings tagged Optimal f sizing
Also on Optimal f sizing5 readings