The Mathematics of Trading and Commissions

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Nothing supports the reasoning for not overtrading more than a look

into the mathematics of what it takes to recover from the previous

losing trade. Table 3.3 shows the percentage gain necessary to

recover from a predetermined percentage loss. It is based on your

initial investment capital. The obvious message from the table is that

losses must be cut quickly. If not, they increase at a geometric rate.

The potential for loss is accelerated when leverage is used

(margin, options, futures). It has been my experience that it is

extremely difficult to recover from any loss of capital below 25 per-

Table 3.3 Recovering from a losing trade

Percent Loss of Capital Percent Gain Required to Recover

5

10

15

20

25

30

35

40

45

50

55

60

5.3

11.1

17.6

25.0

33.3

42.9

53.8

66.7

81.8

100.0

120.0

150.0

cent. If you are using margin, and you have two trades that are down

20 percent, you must make more than 100 percent on the next two

trades. Remember, you will have commission and slippage, which

means that you need far more than 100 percent to break even. Risk

and money management are of paramount importance to your success.

I have known traders who have had 10 consecutive winning

trades and lost it all by not managing the risk on two trades. When

you enter a trade you become a risk manager; you are no longer a

trader. Never forget this.

If you are scalping and making 30 or more trades a day, you had

better be right almost all the time. Because of the number of trades

you are making, your margin of error has to be very small. You can't

afford to be wrong very often. Imagine, if you will, 5, 6, or 10 losing

trades in a row. Who says a winning trade has to be followed by

another winning trade? Every trader knows that a series of losses

can happen at any time. Using Table 3.3, calculate what just three

losing trades will do to you. Then figure the percentage of the

impact if those trades are margin trades. Ouch! This information

isn't in your account statement. Some traders reading this book

right now are looking at their account statement and believe that

they are making lots of money. In reality, they are already dead but

they don't know it. Only drawdown analysis and creating an equity

line will show you how good you really are as a trader. (See Trading

the Plan by Deel.) You will never eliminate losses, but you should try

to control drawdown. Your goal should be to never have a drawdown

below 12 percent. This may be difficult to accomplish, but

you should try to achieve this goal. This will force you to become a

risk manager on every trade. What about commissions?

Nothing supports the reasoning for not overtrading more than a look

into the mathematics of what it takes to recover from the previous

losing trade. Table 3.3 shows the percentage gain necessary to

recover from a predetermined percentage loss. It is based on your

initial investment capital. The obvious message from the table is that

losses must be cut quickly. If not, they increase at a geometric rate.

The potential for loss is accelerated when leverage is used

(margin, options, futures). It has been my experience that it is

extremely difficult to recover from any loss of capital below 25 per-

Table 3.3 Recovering from a losing trade

Percent Loss of Capital Percent Gain Required to Recover

5

10

15

20

25

30

35

40

45

50

55

60

5.3

11.1

17.6

25.0

33.3

42.9

53.8

66.7

81.8

100.0

120.0

150.0

cent. If you are using margin, and you have two trades that are down

20 percent, you must make more than 100 percent on the next two

trades. Remember, you will have commission and slippage, which

means that you need far more than 100 percent to break even. Risk

and money management are of paramount importance to your success.

I have known traders who have had 10 consecutive winning

trades and lost it all by not managing the risk on two trades. When

you enter a trade you become a risk manager; you are no longer a

trader. Never forget this.

If you are scalping and making 30 or more trades a day, you had

better be right almost all the time. Because of the number of trades

you are making, your margin of error has to be very small. You can't

afford to be wrong very often. Imagine, if you will, 5, 6, or 10 losing

trades in a row. Who says a winning trade has to be followed by

another winning trade? Every trader knows that a series of losses

can happen at any time. Using Table 3.3, calculate what just three

losing trades will do to you. Then figure the percentage of the

impact if those trades are margin trades. Ouch! This information

isn't in your account statement. Some traders reading this book

right now are looking at their account statement and believe that

they are making lots of money. In reality, they are already dead but

they don't know it. Only drawdown analysis and creating an equity

line will show you how good you really are as a trader. (See Trading

the Plan by Deel.) You will never eliminate losses, but you should try

to control drawdown. Your goal should be to never have a drawdown

below 12 percent. This may be difficult to accomplish, but

you should try to achieve this goal. This will force you to become a

risk manager on every trade. What about commissions?