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This section describes how to use
rolled LEAP call options as a cheap,
long-term, leveraged investment. This
technique is used in the Index Roll
leveraged investing strategy. While
the mechanics are simple, the explanation
and background is necessarily lengthy
to help answer the inevitable questions
about how it works, what the limitations
are, etc.
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This section will assume the reader
understands what a call option is,
what a strike price is, and what an
expiration is. If options are completely
unfamiliar, visit the Options Basics
Tutorial to learn more.
Most options are used by traders to
benefit from short-term movements in
the market. Traders who believe that
a company's stock price will jump in
the next few months will then purchase
options instead of shares of stock
in order to increase their leverage
and get a higher percentage return.
However, since 1990, the Chicago Board
of Options Exchange has been selling
LEAPs on selected stocks and indexes.
LEAP, which stands for Long-term Equity
APpreciation, is an option that expires
in 18 months or more.
The availability of LEAPS allows investors
to benefit from long-term movements
in the market. Access to LEAPS is expanding,
and investors can now buy LEAPS on
more and more securities for longer
and longer terms. For example a LEAP
can be purchased today on SPY, the
S&P 500 Index ETF, that won't expire
until December 2009, almost three years.
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Because LEAPS allow an investor to
purchase a share of stock by making
two separate payments over a long period
of time, they are actually a financing
instrument. An option and an exercise
can be viewed as an installment sale.
Purchasing a LEAP will always be more
expensive than purchasing the underlying
stock because of the time value involved.
However, the difference can be extremely
small, resulting in the seller making
a very low interest loan to the buyer
to acquire the stock. It is often possible
to buy a LEAP in which the expected
appreciation of the security is well
above the implied financing cost.
Let's look at two LEAPS, both call
options on SPY, both expiring in almost
two years, but with different strike
prices. SPY is the S&P 500 index
fund and is currently trading just
below $145.
| Option A |
| Expiry: |
12/2008 |
| Strike: |
110 |
| Cost: |
41.40 |
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| Option B |
| Expiry: |
12/2008 |
| Strike: |
130 |
| Cost: |
25.50 |
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The first option has a lower strike
price, and is initially more expensive.
However the sum of the two payments
of the first option is cheaper: 41.40+110.00
= 151.40, vs 25.50+130.00=155.50.
An investor who is interested in owning
SPY in two years as cheaply as possible
would be better served by buying option
A vs option B.
Buying and later exercising option
A is still $6.40 more expensive than
just buying shares in SPY. However,
the buyer gets to hold on to their
$110 for a full two years before they
buy. They could put it into other investments
or keep it in a savings account.
Buying now and paying later makes
this a loan, and a loan at an exceptionally
good interest rate. $6.40/$110 is 5.8%,
and that's for two years. The APR is
only $2.9%. However the expected appreciation
of the S&P 500 Index is about 10%.
Why would the seller loan money to
the buyer so cheaply? Because they
want the $41.40 today, which they will
re-invest for the two years until the
option expires. This up-front payment
will also help compensate them for
the stock's downside risk.
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1. Because a LEAP involves two payments,
one now and one later, a loan is involved.
Depending upon the strike price of
the option, the loan can be on extremely
favorable terms.
2. LEAPs with lower strike prices
have higher up-front costs but lower
total costs over the life of the option.
This is because the seller receives
more cash up front and is better compensated
for their future risks.
Wait... But Aren't Options Incredibly
Risky?
Now is the best time to mention that
there are a lot of negative opinions
associated with options. They're bad
bets, 90% of them expire unexercised,
buying an option is betting against
the casino, they're high risk investments,
they're too expensive, etc, etc.
Most of these sterotypes are extremely
out of date, and are based upon experiences
with short term, at-the-money or out-of-the-money
options. If you haven't looked at LEAPs,
or specifically LEAPS on indexes at
low strike prices, please check out
the purchase prices for yourself rather
than assuming the worst.
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The Roll is a financial transaction
that consists of rolling a long-term
call option (or LEAP) forward to get
an additional year's worth of appreciation
from the underlying stock.
Depending upon the stock and the circumstances, this can often be done
extremely inexpensively. This is the technique at the heart of the Index
Roll strategy.
Rolling an option forward can be done again and again, year after year,
for as long as options are still traded on the underlying security.
This technique only works for LEAPs, i.e. options that have at least
18 months before expiration. For best results, these LEAPs should be
well in the money.
Also, the technique is most useful for stocks with low volatility, including
indices and large caps. These securities can be rolled very cheaply.
As the option is held and rolled forward for years, the value continues
to appreciate, based upon its intrinsic and time value. The investor
can then sell it at any time.
Example
We'll model a Roll Forward transaction
by looking at the price difference
between two call options on the SPY.
They have the same strike price but
different expiration dates.
| Option A |
| Expiry: |
12/2007 |
| Strike: |
$110 |
| Cost: |
$38.00
(bid) |
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| Option B |
| Expiry: |
12/2008 |
| Strike: |
$110 |
| Cost: |
$41.40
(ask) |
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(SPY is trading at about 145.)
If an investor wanted to sell option
A and buy option B, it would cost him
or her $3.40. ($41.40-$38.00).
$3.40 buys an additional year's worth
of appreciation on an asset worth $145
that's expected to grow at 10% a year.
That's a pretty good deal.
We could also say that the investor
is paying $3.40 for an expected $14.50,
a +326% annual gain.
Or another way to look at it is that
the investor is borrowing $110 for
a year for $3.40. That's 2.9% interest.
The investor would then hold option
B for another year and then sell it
and replace it with another option
with a later expiry.
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By selecting higher or lower strike
prices, we can take on more or less
leverage in our portfolio. In our experience,
buying options with a strike price
of 10-20% below market seems to provide
the best combination of safety, low
roll forward costs, and lowest initial
prices.
Although its impossible to exactly
predict future roll forward costs,
let's look at some options on SPY to
see what kind of leverage is available
and at what cost.
We'll also calculate a 2-yr return
and a 3-yr return for the option based
upon 10% annual growth in the underlying
asset. To get the 3-yr return would
require paying the initial option cost
and then rolling the option forward
next year.
SPY is trading for a little over 145
today.
Strike
|
12/07
exp bid
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12/08
exp ask
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%
2yr option of mkt price
|
roll
fwd cost (diff)
|
%
roll fwd of mkt price
|
2yr
expected return
|
3yr
expected return
|
| 100 |
47.7 |
50.3 |
34.7% |
2.6 |
1.8% |
50.0% |
75.8% |
| 110 |
38.4 |
41.8 |
28.8% |
3.4 |
2.3% |
56.6% |
83.6% |
| 120 |
29.3 |
33.6 |
23.2% |
4.3 |
3.0% |
65.0% |
92.6% |
| 130 |
20.6 |
25.8 |
17.8% |
5.2 |
3.6% |
76.2% |
103.2% |
| 140 |
12.7 |
18.7 |
12.9% |
6 |
4.1% |
89.6% |
114.6% |
Column explanations:
* Strike: the strike price of the option
* 12/07 exp bid: the bid price of an option on SPY expiring in Dec 2007.*
* 12/08 exp bid: the ask price of an option on SPY expiring in Dec 2008.* |
Roll Fwd: The difference between the two prices. This is
also the expected roll forward cost for next year.?* %
Roll Fwd of market price: Roll forward
cost as a percentage of the price of the underlying. This
could be considered the interest rate on the portfolio.?*
2yr expected return: % return on
this option, if SPY returns the expected 10% a year.?* 3yr
expected return: % return on this option, if SPY returns
the expected 10% a year.
Some interesting conclusions can be
drawn from this table.
1. All of these options are great investments if SPY returns the expected
average 10% over the period. 2-yr returns of 50% to 89% are nothing short
of amazing, and the 3-yr returns are great too. That's the power of leverage.
2. The option with the highest strike price (140) has the lowest initial
cost and the best expected returns. However, it also has the highest
roll forward cost, which means that if SPY doesn't perform as well as
expected, its easy for borrowing costs to outstrip appreciation.
3. The option with the lowest strike price (100) is initially expensive,
at $50 a share. However, the roll forward costs are extremely low. Even
anemic performance from SPY over the two or three year period will generate
decent returns.
4. As our strike price gets lower, the price of the option gets higher.
But this is interesting - to get a strike price 40 points lower only
costs $31.60 more per share. It looks like we can buy $40 of potential
equity in two years for $31.60, a 26.5% return.
5. As our strike price gets closer to market, roll forward costs go up.
This gives us an indication of what will happen if the price of SPY drops
10 or 20 points next year - the roll forward cost will increase by $1
or $2 per share.
So which option is the best value? Well, they're all good values if we
believe that SPY has good long-term appreciation potential. There's nothing
wrong with choosing an option with a higher strike price, assuming that
the investor has extra cash on hand for paying the expected higher roll
forward costs in the future. The higher strike prices will give better
returns overall, although short-term volatility will also be higher.
On the other hand, low strike prices will help an investor sleep better
at night. The up-front costs will be high, but he or she will know that
the roll forward costs are manageable and that even in a sideways market
they'll do all right.
The 120 or 130 strike price looks
like a sweet spot. Relatively low roll
forward costs and low initial costs,
combined with high expected returns.
From our experience, options with strike
prices 10-20% below market or so seem
to provide the best results.
More than 25%+ is overkill. At that
point, the investor would most likely
be better off putting the extra money
in a savings account and using it to
pay roll forward costs as needed.
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While the investor rolls the option
forward, they can also roll it upwards
to a higher strike price. The new option
will be cheaper, which means that the
investor will receive cash back in
the transaction.
This is generally done to pull cash
out of an appreciated investment. However,
because of delta, the investor will
always lose some cash in this transaction.
The closer the new strike price is
to the market price, the more cash
they will lose. (Due to delta, explained
below.)
For example, today SPY is trading
at 145, and an investor who rolls over
SPY from a 110 strike price to a 120
will receive $9.10, rather than $10.
(Use the difference between the two
bid prices to calculate this.)
Rolling up should be done infrequently,
only when the option is deep in the
money, and at the same time as the
roll-forward. However it doesn't change
the underlying portfolio, just the
amount of leverage.
Sometimes a roll up is forced, for
example when the underlying security
appreciates so much that lower strike
prices are no longer available going
forward. This is a good problem to
have, obviously, and the investor can
just select the lowest available strike
price and keep the remainder of the
cash for other investments.
Rolling Up occasionally is a good
way to generate cash for future investments,
but investors need to be careful to
invest the cash over time rather than
re-investing it immediately and potentially
buying at the top.
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The easiest way to estimate a Roll
Forward cost is by looking at the price
difference between the ask price of
a two-year option and the bid price
of a one year option. This is a good
indicator of what the Roll Forward
costs will be in every year for the
next few years.
However, Roll Forward costs for a
LEAP will vary over time based upon
a number of factors, including appreciation
and volatility in the underlying security
and interest rates. (Supply and demand
is not really a factor as options are
priced by computer to eliminate arbitrage.)
The most important factor is the price
appreciation in the underlying security.
In general, for every $1 of price appreciation
in the underlying security, the roll
forward cost will decline by $0.09
to $0.06, depending upon the distance
from the strike price.
This means that as the security appreciates,
the roll forward cost will decline.
The cost of holding the leveraged asset
actually decreases.
Other factors such as volatility and
interest rates do influence the price,
but appreciation is by far the most
important factor for an option with
a strike price that's at or below the
market price.
Many option pros "psych themselves
out" by worring about vega or
rho or some other greek when they should
really be focusing on the appreciation
of the underlying security.
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There's a lot of confusion
about options and dividends. The party
line is "option
holders don't get dividends",
which is technically true. But that
doesn't necessarily mean that options
on dividend paying stocks are a bad
deal.
Future dividend payments are one of
the factors that is baked into the
price of the option, which means that
stocks that pay hefty dividends have
much cheaper LEAPs.
Look at a LEAP for a high-dividend
stock like Bank of America and you'll
see what we mean. The LEAP barely costs
anything, thanks to the dividend. The
option writer is passing on the benefits
of the dividends to the seller.
Indexes don't pay a lot of dividends,
but they do pay a little, and they
do continue to raise their dividends,
which does help to lower the cost of
holding and rolling forward an index
option.
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Every option loses time value every
day as it moves closer to expiry. This
phenomenon is named time decay, and the
rate of decay is named theta.
Theta increases as an option gets closer
to expiry. Given identical strike prices,
a two-year option will have a much lower
theta than a one-year option.
This presents an opportunity to purchase
an option with a low theta, and then
after a year, when the theta increases,
to replace it with a new option with
a lower theta.
Long-term, deep in-the-money options
on less volatile securities have the
lowest theta, and a low theta allows
an investor to purchase the future appreciation
very cheaply. |
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A $1 move in the price of underlying
security will not immediately translate
into a $1 move in the price of the
option. Options have a variable named
delta that measures how sensitive option
price changes are to changes in the
underlying security.
Delta for option increases as the
option gets closer to expiry. Delta
for a two-year LEAP on an index might
equal 0.8 when purchased. As an option
moves closer to expiration, delta gets
closer to 1.0.
In practice this means that when an
investor initially purchases a long-term
option, it will be less sensitive to
changes in the underlying security.
But if the investor continues to hold
the option and roll it forward as required,
virtually all of the appreciation in
the underlying security will be captured
by owning the option.
However, if the investor chooses to
Roll Forward and then Roll Up at some
pont, then it is likely that they will
lose some of the value from the underlying
security, depending upon the delta,
which is a function of how far away
from expiry the option is, how close
to market price the new strike price
is, and the volatility of the underlying.
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Buy a LEAP with a strike price at
or below market price and an expiration
at least 18 months out.
Hold the LEAP for a year - until there's
only 9 to 12 months left before expiration.
Sell the LEAP and replace it with
a LEAP with the same strike price and
a later expiry (as long as possible).
Or alternately, raise the strike price
to pull cash out.
Go back to step 2 for a few years
to keep benefiting from the appreciation
in the underlying security.
Sell the appreciated option at any
time.
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- The Roll is an excellent strategy
for getting cheap leverage on a
long-term, buy and hold investment with
low volatility,
such as an index or large-cap stock.
- The Roll is the cheapest way to own
the index for the long-term. Instead
of buying the index outright, buy
a LEAP with a low strike price and put
the remainder in other diversified
investments.
- On many stocks and indexes, the cost
to roll the security forward is
only about 2-4% of the cost of the underlying
security. Lower strike prices result
in lower roll forward costs.
- As the investor continues to roll
the options forward, the underlying
security appreciates, making the
option more valuable over time, and the
roll
forward cost decreases.
- During a market correction, the option
will lose value and the roll forward
cost will increase. Investors need
to hold on to their options and
to continue to roll them forward on schedule,
or they'll end up making a temporary
loss permanent.
- An option on an appreciated security
can by Rolled Up to withdraw cash
and increase leverage. This is best done
during a roll forward transaction.
However, some appreciation will
be
lost, due to delta differences.
- An investor can sell the option at
any time to immediately receive
the intrinsic value and the remainder
of
the time value.
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Here is a roll forward simulator.
Calculates the roll forward cost based
upon fifty potential outcomes. Also
has some index roll return calculators.
http://www.indexroll.com/roll-forward-sim.xls
An analysis of rates of return for
different one-year options on SPY.
Created using an option calculator,
and based upon relatively placed market
conditions and low volatility. This
confirms that the biggest gain comes
from out of the money options. A one-year,
+25% out of the money option has an
average return of 75.39%. This is partly
because current volatility is lower
than the 15% average used in making
the model, but if you can think of
other reasons, let me know.
http://www.indexroll.com/one-year-option.xls
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1) I know a great stock. Why shouldn't
I choose that over the index?
2) What happens when I can't roll
forward my LEAP?
3) Don't you lose a lot of money
on the bid-ask spread?
4) If you sell before expiry, don't
you miss out on some of the appreciation?
5) We just had a correction and the
market seems very volatile right now
and option prices are very high. Are
you sure I should buy or roll over
an option right now?
6) The Index LEAP sounds
like a much better deal than the
Index ETF. Why
would I ever own the ETF by itself?
Or even invest in an index fund?
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