Lesson 7: A Two-Horse Race
There are
two horses in a race. They are equal. Neither is favored to win
the race. You have no idea which horse will cross the finish line
first as you know nothing about either of them. You want to bet
on horse (A) or horse (B). Just as you are about to decide, you
are told that whichever horse you bet on, it can never be 10 feet
behind the other horse once you have placed your bet, or you will
lose your money. This is true even if the horse you select
eventually wins the race. You are, however, allowed to place your
bet at any time during the race up to the last fifty feet. You
decide to bet on horse (A) and right out of the gate it falls 15
feet behind horse (B). Eventually your horse (A) wins the race by
three lengths but you have lost your money. The furthest that
horse (A) was ever behind horse (B) was the 15 feet at the start
of the race.
You know
that horses often fall behind at the start of a race and then
catch up as the race continues. Is there any way you could have
placed your bet so that you would have won the wager? Of course
there is. You could have waited until your horse was 10 feet
behind and then bet that horse (A) would never be 20 feet behind.
Remember you are allowed to place your bet at any time. Why not
wait until your horse is 10 feet back and then place your bet.
There is one reason why not. Your horse may never be 10 feet back
and thus the opportunity to bet on horse (A) may never arise. But
is this a good reason? There will be another race shortly. If you
miss betting on the first horse race of the day, then bet on the
second. You know that this method of waiting to place your bet
works best when the horses are of equal abilities and there are
only two horses running in the race.
Gold futures
are selling at $300.00 an ounce. You are not sure whether gold
will advance or decline. You believe there is a 50/50 chance that
either will happen. Should you go long gold and buy futures
contracts or options or should you go short gold and sell futures
contracts or options? You have no idea. To you it is a two horse
race. (A) prices may advance or (B) prices may decline. Which
should you pick? Should you bet on horse (A) or horse (B)? One
thing you do know. You are willing to risk no more than $20 an
ounce whichever way you bet. If you buy gold futures long at $300
then you plan to place a sell stop/loss order at $280. If you
sell gold futures short at $300 then you plan to place a buy
stop/loss order at $320. Unable to make a decision you flip a
coin, heads you go long and tails you go short. It comes up tails
and you decide to sell gold futures short at $300 an ounce. You
lay out a plan to enter your orders so that if gold rises to $320
your stop/loss is hit and you are out for a loss. If gold
declines to $280 you will buy back your short position for a
profit. You feel it is certain that gold will do one or the other
and a 50/50 probability that it will do either first. You are now
in a two horse race and you have selected horse (B).
But then you
start to think that with your luck the market will probably rise
by $20 before it declines by $20. In simple terms, your horse (B)
will probably be 20 feet behind your entry price before it
declines to $280 and wins the race. What can you do? You decide
to learn a little from the horse race example at the start of
this lesson. In futures, stocks, or options, you are allowed to
enter the market at any time before the end of the race. Think of
gold as racing toward $280 an ounce and $320 an ounce. You win if
it first hits $280 and you lose if it first hits $320. You feel
there is a 50/50 chance of either event happening.
If there is
a 50/50 chance of gold hitting $320 before it hits $280 or vice
versa, what happens if you raise the $320 to $340? If gold is
$300, would you think the odds are equal that it will rise to
$340 (rise $40) before it declines to $280 (decline $20)? What
are the odds that a market will move $40 in one direction before
it moves $20 the other? Assuming that markets are efficient and
that current price is always the best price, the odds should be
equal that markets will move an equal amount in either direction
but not equal that markets will move $40 one way before moving
$20 the other.
You are
willing to lose $20 an ounce betting on gold. You don't want to
lose $20, but you are willing to lose it. You want to sell a
futures contract short and you are willing to sell it on the
50/50 probability that you will make a profit before you suffer a
loss. What about delaying your entry until the price has reached
your stop/loss order level and then taking your short position?
In other words, if you are betting on horse (B) and that it will
never be 20 feet behind horse (A) by delaying your bet until your
horse is actually 20 feet behind you are giving yourself 40 feet
of slack before your bet is lost instead of 20.
Think about
crude oil for a while. In Lesson Number 3 we were wondering
whether crude oil, then priced at $25 a barrel, would rise to $30
or decline to $20 first. We now know the answer, at least for the
year 2000. Crude oil rose to $30. In fact, it rose above $30. If
you shorted crude oil at $25 and bet that your horse would never
be $5 behind, you are out of the market. Horse (B) did fall $5
behind when prices rose to $30 and all the shorts who had
stop/loss orders at $30 were taken out of the market at that
level or thereabouts. In hindsight, 20/20 vision, what if you had
said that you wanted to bet that crude oil prices would decline,
but that you did not wish to place your bet until the original
stop/loss price had been hit. In other words, you would wait
until your horse was $5 behind before you would bet that it would
not be $5 behind. In essence, you would be betting that your
horse would not be $10 behind in the race. We now know what
happened to crude oil since it was priced at $25 a barrel. We do
not yet know what will happen to gold when it is currently priced
at $300 an ounce. But whatever does happen to gold prices, isn't
it worth considering as a possibility that you might delay your
short entry until your original stop/loss price would have been
hit had you placed a stop/loss at that level? You can still take
the same side of the market, but you do not enter until your
originally planned (but not actually entered) stop/loss order has
been hit. Is this something you might consider?
Mr. Jones
speaking to Mrs. Smith. "I am generally right in picking
market direction, but my stop/loss always seems to get hit before
the market runs in my favor". Mrs. Smith to Mr. Jones.
"Why don't you pretend to put your buy or sell order and your
stop/loss order in but not really put either of them in. When the
pretended stop/loss level is reached, then and only then enter
the market with a new stop/loss the same distance from your new
entry price, as your original stop/loss would have been. If you
are right, that you are generally able to pick market direction,
but keep getting stopped out with your initial stop/loss order,
this should help solve your problem". Mr. Jones to Mrs.
Smith. "Why didn't I think of that"?
Suppose you
want to go long (A) a market or short (B) a market and your
number one problem is that when you are long, your sell stop is
always hit before the market turns up and when you are short,
your buy stop is always hit before the market turns down. If this
is your problem maybe you should consider entering the market at
your stop/loss points rather than at your original entry points?
This idea may be one you might want to think about and discuss
with your partner. I will have something more to say about it
shortly.
Bruce Gould