ADVANCED HEDGING STRATEGIES
This chapter discusses follow-up
actions that stem from basic put hedging and identifies strategies that combine
call writing with put buying to take advantage of the strengths of both
techniques. In addition, we discuss the notion of using combined put-call
strategies as a portfolio management approach for continuously managing
volatility and reducing downside risk.
Put Hedge Follow-Ups
Until now, we’ve evaluated put hedging
from the simple perspective of what happens at expiration. But, as with other
option strategies, a lot can happen in the interim. While you are not obligated
to do anything prior to the expiration of your put hedge, the chances are good
that you will want to, as follow-up action is frequently called for and may
represent opportunities to enhance your success with the strategy.
The simplest follow-up action is simply
to close the position by selling the put or perhaps even selling both the put
and the underlying stock or exchange-traded fund (ETF). A common problem in
options is to implement a strategy and then focus so much on the strategy and
potential follow-ups that one loses sight of the underlying position. For
covered call writers, that means losing sight of the fact that the underlying
stock—not the call option—contains all the risk in the combined position. With
a put hedge, it can also mean developing a false sense of security about
downside risk. The put does provide a much more effective hedge than a covered
call, but that hedge is still not 100 percent effective, and some money is
inevitably lost when the stock declines. In addition, the time value in a put
represents a cost, and the longer you keep the hedge on, the longer you incur
that cost.
The good news is that you can sell the
put option at any point you decide to remove the hedge and either book a profit
on your put or at least recover some of its cost. The underlying stock may move
higher, or new information might arise that causes you to feel you don’t need
the put any more. Remember, as we discussed in Chapter 6, to save on the daily
cost of a put hedge, you will generally want to purchase a long dated put. That
means you are intentionally purchasing protection for much longer than you need
it with the idea that you will want to recover what you can once the stock
moves or the situation changes. If the stock does go down, you may be presented
with an opportunity to book some profit from the put early.
As discussed in relation to covered
call writing, rolling is the act of closing an option and reopening a different
one to replace it. It is generally used to preserve the integrity of a strategy
but change either strike price, duration, or both. Since options all have a
limited life, the most obvious need for rolling comes as your option is
expiring and you need to reopen a new one to keep your strategy intact. Waiting
until an option actually expires and then either purchasing or selling a new
one on the following Monday is possible, but frequently undesirable. If your
put hedge is in the money at expiration, for example, the new rules on
automatic exercise will result in your put being exercised and your stock being
sold. If that is not your objective, you must roll that put option prior to
expiration. In addition, the underlying may move by Monday, presenting you with
higher or lower cost for your new position.
As with covered call writing, deciding
how far in advance of expiration to roll a put hedge is a judgment call that
depends on a number of factors including the option you currently hold (or have
written), the one you intend to roll to, and your expectation of the
underlying’s potential movement prior to expiration. If, for example, you hold
a stock that is currently 30 and you’ve had a put hedge on using the 25 strike
price, your put is about to expire five points out of the money and is worth
next to nothing. It still provides you with protection, but will hardly budge
in price, even if the stock were to drop two to three points immediately. If
your intention is to purchase another put at 25 or 30 in a more distant month
when this one expires, then the price of the new put is what you need to focus
on, since movement in the stock of even a point or two will affect the price on
the new puts you intend to purchase. Your decision therefore rests entirely on
the expected movement in the stock prior to expiration, as that is what will
most affect the cost of purchasing the new puts.
On the other hand, if the stock is 30
and you have a 30 strike put hedge expiring, it will still carry value and
still move up and down with the stock. Time, in addition to price is a factor
in your decision now. The sooner you can swap into a longer-dated replacement,
the better off you’ll be in terms of diminishing time value on the current put
hedge. Taken to the extreme, if you are trying to establish a continuous put
hedge and thus purchasing a very long dated put to reduce the daily cost of
time value decay, you might buy a long-term equity anticipation securities
(LEAPS) option with more than a year until expiration and roll it into another
LEAPS option when it gets down to say six months in order to preserve the slow
rate of time decay.
As with covered writing, the optimum
time to roll a put hedge prior to expiration is a guessing game as it depends
largely on the movement of the underlying stock. This should not, however,
detract from the merits of the strategy, and does not represent any more of a
guessing game than when to buy or sell the stock, or when to implement a put
hedge in the first place. The reason for buying a put hedge at all is for
protection from unknown circumstances, and those circumstances are just as
unknown when buying a stock as when rolling a put hedge.
In reality, put hedges are more likely
to be rolled or closed well prior to expiration anyway. There are several
reasons for this. First, since put hedging represents a cost, and since the
cost of an option in terms of time decay is most acute as it approaches
expiration, holding a put hedge until expiration is usually not optimal.
Second, since put hedges are most frequently initiated for a limited purpose,
fear or anticipation, they are often closed once the situation changes. Third,
with put hedges, a significant move in either direction will present
opportunities to roll the option prior to expiration. To illustrate what
happens in both the up and down scenario, we will use the example in Table 7.1.
TABLE 7.1 Put Hedge Follow-Up Scenarios
Initial
Put Hedge
|
Stock Up
10% after 30 Days
|
Stock
Down 10% after 30 Days
|
XYZ = 60
|
XYZ = 60
|
XYZ = 60
|
Put
strike = 60
|
Put
strike = 60
|
Put
strike = 60
|
Put price
= 2.94
|
Put price
= .59
|
Put price
= 6.41
|
Duration
= 90 days
|
Duration
= 60 days
|
Duration
= 60 days
|
Volatility = 25%
|
Volatility = 25%
|
Volatility = 25%
|
Interest rate = .5%
|
Interest rate = .5%
|
Interest rate = .5%
|
Follow-Up
Action for an Up Move
We begin by assuming that XYZ stock is
60 and we have purchased a 90-day put hedge on XYZ at the 60 strike for 2.94.
The first scenario is one in which the stock rises by 10 percent during the
next 30 days. In this scenario, the put loses 2.35 of value, but the stock has
gained 6.00 of value, so the net position has gained in value by 3.65. Overall,
this is a positive result, though an investor will likely experience some
regret at having purchased the put hedge in this situation. The new scenario
leaves the investor with a number of follow-up choices:
- Do nothing. The original parameters would remain intact and
the investor would continue to be protected below 60 at a cost of roughly 5
percent for the three months (2.94/60). But the stock is 10 percent higher now
and still only protected below 60, so there is an added exposure that is not protected
by the current put.
- Close the put. If the situation has changed sufficiently and
no longer justifies the need for a put hedge, then the put can be sold for .59.
Additionally, the stock itself could be considered for sale at this point as
well.
- Roll up. If there is still a concern about downside risk,
and the stockowner wants to protect the recent appreciation in the stock, they
could roll up to say a 65 or 70 put, either in the same month, or for a new,
longer duration. The new put would involve additional cost and should be
evaluated on its own merits.
- Sell a covered call. The rise in the stock now presents an
opportunity to sell a covered call at say 65 or 70 to help protect some of the
appreciated value. The original put could be kept or sold, and the proceeds of
the call can be pocketed or used to roll the put up to a higher strike.
Follow-Up
Action for a Down Move
Now let’s consider the scenario where
the stock goes down 10 percent instead. A month later, the stock is at 54 and
the put is now at 6.41. (In this example, we have assumed volatility to be the
same, but with a drop of 10 percent, it is likely that the implied volatility
on the options would actually rise somewhat, expanding the prices of most
options on this stock in the near month expirations.) In this scenario, you
will have done well by protecting your position, and though your stock declined
by 6 points, your put gained 3.49. Overall, your net position has thus lost
2.51 in value, but you would probably be gratified that you had the good sense
to have hedged your position. Here, too, you can opt to do nothing and maintain
the original position, but at least two other choices will now have surfaced
that can alter your risk/reward by lowering the breakeven on the original
position.
- Do nothing. Your put hedge has worked well, and because it
is now in the money, its high delta (—.84) will provide a substantial degree of
protection on any further decline in stock value. You would not, however,
participate much in any bounce-back in price from here on the stock until it
got back up through 60.
- Close the put and book the gain (6.4 credit). If you believe
your put hedge has served its purpose and the decline in the stock is largely
over, you would now have the ability to sell the put and lock in its gain.
While you would no longer be protected against further decline on the stock
position, you will have booked a gain of 3.47 (6.41—2.94) and, by doing so,
lowered your breakeven on the underlying position by that amount. Plus, you get
back your initial cost on the put as well—something that you would lose if the
stock closes anywhere above 60 at expiration. So, unless you feel that the
stock still has downside risk, this can be an advantageous move. (There of
course is no magic about closing at the 30-day mark. You would do it whenever
you felt confident that the stock was largely finished with its decline.)
- We view this as the rough equivalent of walking away from
the blackjack table while you are ahead. If you stay at the table, you might
continue to be lucky, but the odds are against you. If you remain in the put,
you would stand to gain more if your stock continues to decline, but time is
against you, and if the stock bounces back (something more likely to happen
with stocks than in blackjack), you will not participate much in that rise.
Remember, even if the stock moves all the way back up to 60 at expiration, you
will still have paid 2.94 for protection (almost 5 percent) and would have
nothing to show for it. By cashing out the put now, you get back the cost of
the insurance plus a tidy profit that can now sit in the bank. If you have
further trepidations about the stock, the next two alternatives offer ways to
continue with some protection. Figure 7.1 illustrates the modified risk/reward
achieved by closing the put hedge under these conditions. You can see how you
would now have downside risk again, but would profit in all cases where the
stock rises from here.
- Roll the 60 put to the 55 put (3.70 credit). If you would
like to book some of the gain from the put thus far, but keep a hedge on
against further decline, rolling down is a compromise you can now consider.
(See Figure 7.2.) To do that, you would sell the 60 strike put and purchase the
55 strike put, taking in $3.70 in the process. You can do it all in one
transaction if you enter it as a spread order (Sell 60 put/Buy 55 put at 3-70
credit) or you can close the current one first and then buy the new one. The
roll-down, illustrated in Fig- 7-2, keeps the stock protected while booking
some profit from the original- As with closing the put hedge altogether, the
credit received lowers your breakeven and enables you to begin participating in
gains on the stock at a lower price if it should rise.
Figure 7.1 Holding versus
Closing a Put Hedge
- The trade-off is that you will have swapped your option for
one with more time value (1-72 vs. .41) and a lower delta (—-55 vs. —.84), so
if the stock does decline further, you are not protected quite as much as with your
original put hedge.
Figure 7.2 Holding versus
Rolling Down
Figure 7.3 Holding versus
Creating a Spread
- Sell the 55put to create a spread (2.73 credit). There is
another follow-up action that enables you to maintain your original 60 strike
put hedge. Instead of rolling down to the 55 put where you would be protecting
your stock price from 55 down to zero, you can keep the protection starting at
60, but cut it off at 55. You would do this by keeping the 60 put and now
selling an additional 55 put, thereby creating a 60/55 bear put spread. Figure
7.3 shows how the risk/reward changes when you turn the initial put hedge into
a spread. Like the two strategies just described, creating the spread takes in
a credit that lowers your breakeven. You have changed the risk/reward
parameters, this time reintroducing downside risk below 55. This is still less
risk than holding the stock, though, because you are protected between 60 and
55.
Using Put Spreads to Hedge
In the previous example, we turned a
basic put hedge into a put-spread hedge when presented with a drop in stock
price. There is nothing, however, that prevents you from using a put-spread
hedge when initiating your hedge in the first place.
The appeal and effectiveness of put
hedging have always been dampened by the attendant cost. Consequently, put
hedges are generally used on occasions when it is determined that downside risk
is substantial or short-lived enough to justify it. For long-term portfolio
management, the cost of a straight put purchase is simply too prohibitive to
become a standard practice. To summarily dismiss the idea of using put hedges
because of cost, however, would be misguided, since they are still a valuable
tool for protecting against significant downside risk, and since there are ways
to mitigate the cost by modifying the strategy. One way to do that is to
utilize put spreads to create the hedge.
The bear put spread (purchase of a put
and simultaneous sale of another put in the same expiration month at a lower
strike price) will always cost less than the put purchase by itself, and it
makes intuitive sense as a hedging mechanism because it enables the hedger to
select the exact range in stock price to protect. A straight put purchase will
always protect the underlying stock from the strike price all the way to zero.
You pay for that degree of protection, but is it always necessary? Are you
really concerned your stock might go completely to zero, or are you more
realistically concerned with cyclical selloffs of say 10 to 20 percent?
We already discussed how you probably
save on your car insurance by accepting a deductible, and showed how buying a
put hedge at a strike price below the stock’s current value accomplishes that
same effect on a put hedge. Using a put spread to create the hedge instead of a
long put by itself serves the same purpose, but instead of saving money by
ignoring the first 10 to 20 percent of downside risk and protecting the
remaining 80 percent, you save money by protecting the first 20 percent and
ignoring the last 80 percent. (These numbers are only approximations to explain
the point. In reality, you would use different strike prices to determine
exactly how much risk you want to protect and how much you’re willing to
absorb.)
Figure 7.4 illustrates the difference between the amount of protection
gained from a basic put hedge and a put spread and Fig. 7.5 illustrates the basic risk/reward of a put-spread hedge.
The basic put hedge protects from the selected strike all the way to zero,
whereas the put spread protects the price range between the strikes of the
spread, which can be any two strikes of your choosing.
Debit Put Spreads
Say you are long 100 USO (US Oil Fund
ETF) at 36 and it is now December 1. Table 7.2 shows the cost and amount of
protection for a long April put and several debit spread alternatives using the
same long put and selling one of several alternative strikes in the same
expiration to complete the spread. The straight purchase of a 36 strike put
would protect all the way to zero, but would cost $282 per 100 shares of
stock—nearly 21 percent of the stock’s value on an annualized basis. You could
hedge, on the other hand, a decline to 30 for only $200, or a decline to 32 for
$154—almost half the cost of the original put by itself.
Figure 7.4 Basic Put Hedge
versus Spread Hedge
The put spread protects only a
specified amount of the potential loss on the stock and costs less to implement
accordingly. If you hedge, as in the previous example, using a 36/30 debit put
spread, then you are only hedging a decline to 30.
Figure 7.5 Risk/Reward of Basic
Put Hedge versus Spread Hedge
TABLE 7.2 Costs for Put Spreads on USO
|
Type
|
Cost
|
Annualized
Percent
|
Amount of
Protection
|
Long
April 36 put
|
Long put
|
2.82
|
20.9%
|
100%
|
Long
April 36 put Short April 30 put
|
Debit
spread
|
2.00
|
14.8%
|
16.8%
|
Long
April 36 put Short April 32 put
|
Debit
spread
|
1.54
|
11.4%
|
11.2%
|
Long
April 36 put Short April 34 put
|
Debit
spread
|
.88
|
6.5%
|
5.6%
|
Below that, you are unhedged. But that
may be a worthwhile trade-off in that it costs 2.00 instead of 2.80—a savings
of nearly 30 percent.
Beyond the fact that your protection is
limited, there are other trade-offs with spreads. If the stock declines, the
value of the spread will theoretically widen, but not as much as the value of a
single put by itself would rise. In other words, the spread has a lower delta
than a long put by itself, making it less efficient if a sharp down move
occurs, especially when there is still a lot of time before expiration.
In addition, there are practical
matters concerning execution. Theoretically, a put spread will reach its full
theoretical value (6 points in the above case) if the stock price drops below
the lower spread strike at expiration. But in reality, the holder should always
expect to lose a little on each side of the trade from the bid-ask
differential, not to mention transaction costs. The amount one gives up to
market makers to close a spread might only be $.05 to $.10 per option if the
option is liquid, but could be as high as $.30 to $.40 in a much less liquid
option series.
Thus, even if the stock in the above
example were to trade below 30, the holder of the put spread should expect to
net something less than the full strike-to-strike theoretical value of the
spread. As an example, if the stock is 28 at expiration, the theoretical value
of the 36/30 debit spread would be 6. But the quote for the 36 put might be
7.90 to 8.10 and the quote on the 30 put might be 1.95 to 2.05, yielding only
5.85 if executed at the bid and offer respectively. If the spread is closed
prior to expiration, the actual closing price will likely be even further from
theoretical value. These prices are shown in Table 7.3.
TABLE 7.3 Typical
Spread Quotes
Option
|
Theoretical
Price when Stock Is 28 at Exp.
|
Bid-Ask
|
Actual
Price to Close Position
|
36
|
8
|
7.90 to
8.10
|
7.9
|
30
|
2
|
1.95 to
2.05
|
2.05
|
Net price
|
6
|
5.85 to
6.15
|
5.85 (at
bid and offer)
|
Table 7.4 shows an example of debit spreads of varying duration on a
hypothetical stock with a price and volatility similar to that of the S&P
500 SPDR ETF, including the cost per share of puts at two strike prices (if
purchased) and the net cost of using the two as a debit put spread instead. It
shows that you could theoretically purchase a one-year put hedge at say 115 for
7.31, or about 5.8 percent. Given that you would still have 8 percent downside
risk and would have paid almost 6 percent to have that protection, you are
exposed to about 14 percent of downside risk and will suffer a 6 percent drag
on upside performance if the underlying goes up instead of down. As an
alternative, the 125/115 spread costs 4.74, or 3.8 percent, and protects from
125 down to 115, so a drop to 115 would be fully hedged and would only cost 3.8
percent. The spread, however, would have additional risk below 115, whereas the
115 put by itself would not.
TABLE 7.4 Cost of a Debit Put Spread at Various
Durations
Stock = 125
Spread = 125/115 debit spread
Volatility = 25 percent
Interest rate = .5 percent
|
Put Strike
|
30 Days
|
90 Days
|
120 Days
|
240 Days
|
360 Days
|
125
|
3.55
|
6.11
|
7.05
|
9.90
|
12.05
|
115
|
.51
|
2.20
|
2.93
|
5.37
|
7.31
|
125/115
|
3.04
|
3.9
|
4.13
|
4.53
|
4.74
|
In sum, the debit put spread may
provide a cost advantage over a basic put hedge, but should not be assumed to
be a better strategy in all situations.
Put
Calendar Spreads
Part of the problem with using the
debit spread to hedge stock is deciding on duration. A long duration works well
for the buy side, since it lowers time premium per day. But that is not an
advantage on the short side of the spread. When you are short an option, you
want to take advantage of the near month expirations where time value decays
fastest. A way to address this issue is to create a spread where the long side
is distant and the short side is close—and that is the definition of a calendar
spread.
In the calendar, one purchases a
somewhat long-dated put, such as a six-month or one-year put, and sells a
short-dated (one- or two-month) put against it at the same or lower strike
price. Because the short put is closer in duration, you receive less money for
it, but you would write another when that one expires and another after that.
That brings in more time value over many months, but also creates more trades
and transaction costs than would be experienced with a single bear spread in a
distant month.
As with other enhanced put hedge
strategies, the calendar spread reduces the cost of the basic long put hedge,
but also reintroduces downside risk back into the equation. The goal is similar
to that of using debit spreads to hedge—that is, to reduce the price of the
basic long put hedge, while still providing an acceptable amount of protection.
The short side will expire each month, resulting in multiple writes on the same
long (if the long is a one-year option, then there could be as many as twelve
individual one-month options written against it over the course of the year).
That provides flexibility when rolling the one-month options to move up or down
in strike price, resulting in more time value over the course of the year. As long
as your close-in put is at the same or lower strike, there is no margin
required—you just pay for the long put in full. If the stock declines, you can
roll the close-in option down to prevent assignment. You can hold the long side
for as long as it makes sense, or roll it up or down in strike during the year
if movement in the underlying justifies such action.
The advantage of the put calendar
spread as a hedge is that it combines the annualized cost advantage of a
long-dated put option with the quick time decay of a short-dated option, and
gives the put hedger a way to keep a continuous hedge going at a relatively
inexpensive cost. The close-in put (short side of the calendar) can be somewhat
discretionary. There may be times when the hedger may not write anything close
in and just keep the basic put hedge going. At other times, a decline in price
on the stock might set up an opportunity like the one we discussed earlier in
this chapter to implement follow-up actions.
The additional flexibility of the put calendar
spread as a hedge also means there is more ongoing management. And if the stock
drops precipitously in a given month, the overall hedge may be relatively
ineffective at offsetting the value of the decline if the short put is the same
strike as the long. But calendars do not have to be at the same strike price.
By writing the short dated put at a lower strike price, the put calendar hedge
takes on more of the character of a bear spread and will provide at least some
degree of near-term downside protection.
Ratio
and Butterfly Spreads
From here, there are still other
logical extensions that can be applied to the basic put hedge in order to
further refine the risk/reward of the strategy to a specific situation.
A ratio spread, for example, could be
used instead of a debit put spread to create the hedge. This would entail
buying a basic put hedge and selling not just another put at a lower strike
price, but say two puts at the lower strike price. (Ratio spreads do not have
to be 2:1. Any number of additional puts can be considered a ratio spread.)
If you had a stock at 60, for example,
and purchased a six-month put hedge at the 55 strike, it would cost about 2.00.
The 50 strike put might be around .75. The debit put spread using these two
strikes would therefore cost 1.25 (2.00 less .75). Selling two of the 55 puts
for each 60 put instead would cost only .50 (2.00 less 1.50). The resulting
ratio spread would protect the stock between 55 and 50 at a cost of only .50,
but below 50, the hedger would not only be exposed to downside risk again, he
would be exposed to double the amount of it. In other words, for every dollar
the stock ended below 50 at expiration, the hedger would lose one dollar on the
stock plus an additional dollar on the extra put. The risk/reward for a 2:1
ratio as described previously is illustrated in Figure 7.6.
Taken one step further, the hedger
could then purchase the 45 put, thus creating a butterfly spread as the hedge
(long one put at 60, short two puts at 55, and long one put at 45—all in the
same month). This would add back in about .20 of cost and would pick up
protection again between 45 and zero.
In concept, ratio spreads and butterfly
spreads are somewhat inexpensive and can potentially make a profit many times
their cost (though transaction costs for individual investors can be prohibitive).
That might sound like an attractive set of traits for using as a hedging
mechanism.
Figure 7.6 Risk/Reward for Ratio Hedge
But the ratio spread adds back even
more risk below a given drop in the stock price and the butterfly spread makes
its maximum gain at a specific price (the strike in the middle) and makes less
the further away from that optimal price the stock gets. The idea that anyone
could peg the price of a stock to a specific strike price in six months is so
remote that we see very little use for butterfly spreads in this manner.
Splitting
the Difference
To round out all the reasonable
possibilities of modifying a basic put hedge that we could think of, we also
want to mention that multiple strikes or durations can be used in almost any of
the situations we’ve mentioned. Even a basic put hedge does not always have to
be all in the same month at the same strike. If you find yourself wrestling
with a decision as to whether you should buy the March or June put hedge, you
can split the difference and buy some of each.
This is particularly useful when there
are strike prices in five-point increments. The 60 strike may seem too close,
but the 55 strike too far. Splitting between them can give you the equivalent
of a 57.5 strike price, or splitting your options 6:4 between the 60 and 55
strikes gives you the equivalent of a 58 strike.
In the ETFs, it is common to have
one-point strike increments. This presents an opportunity to spread your hedge
over a number of them. You could split one-third across three strikes or
one-quarter across four strikes. Similarly, you could do the same with
expiration months. A hedge, for example, divided up among several different
expiration months could effectively “ladder” your hedge
across time in the same way a portfolio manager might ladder bonds to mature
throughout the year rather than all at once.