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  • 8/11/2019 Equity Prices

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    Lehman Brothers does and seeks to do business with companies covered in its research reports. As a result, investors should be aware that the firm may have a conflict interest that could affect the objectivity of this report.

    Customers of Lehman Brothers in the United States can receive independent, third-party research on the company or companies covered in this report, at no cost to themwhere such research is available. Customers can access this independent research at www.lehmanlive.com or can call 1-800-2LEHMAN to request a copy of this resear

    Investors should consider this report as only a single factor in making their investment decision.

    PLEASE SEE ANALYST(S) CERTIFICATION AND IMPORTANT DISCLOSURES BEGINNING ON PAGE 23.

    Options Strategy Monthly: February 2006 Q4 Earnings and Volatility PatternsWe find that the average absolute price reaction

    immediately following earnings announcements this season has been slightly higher thaaverage during the past two years. On the other hand, the average change in stocks implivolatility heading into the announcement date has been similar to the historical average. We find that Retailing stocks had the highest average absolute price reaction relative to whatpriced in by options market. However, Semiconductors & Semiconductor Equipment stockthe lowest average absolute price reaction relative to what the options market had priced in pto their earnings announcements.

    Rapid Growth in ETF Option VolumesThe growth rate of volume in ETF options has outpacthat of single stock options since 2004. Volume in options on Energy ETFs has grown at an faster pace, and currently accounts for about half of the total volume in all Sector-basedoptions.

    Pinning of Stock Prices on Expiration DateWe find that for stocks closing within 1% ofstrike on the day prior to expiration, the return distribution on the expiration date exhibits greater clustering around zero in comparison to the average distribution of equity price reover the past two years. For stocks with higher open interest of outstanding contracts proportion of the stocks volume, there appears to be a greater dampening of price retupossibly a consequence of delta-hedging activity by long gamma traders.

    Sector Volatility SnapshotsOur Sector Volatility Snapshots allow investors to quickly asaggregate volatility information for each S&P 500 GICS sector. The snapshots include imand realized volatility for each sector and sector-based ETF, along with other useful metricas sector put-call skews, sector term structure trends, and notable volatility increases and decrfor stocks within each of the 10 GICS sectors.

    February 10, 2006

    Ryan Renicker, CFA1.212.526.9425

    [email protected]

    Devapriya Mallick1.212.526.5429

    [email protected]

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Table of Contents

    Fourth Quarter Earnings Related Volatility............................................................................. 3

    Volatility Trading Environment............................................................................................. 6

    Rapid Growth in ETF Option Volumes ................................................................................. 6

    Recent Developments in the Options Market......................................................................... 7

    Impact of Option Expiration on Underlying Price Changes..................................................... 8

    Price Returns in Expiration Week versus Other Weeks ............................................................ 8

    Stock Return Distribution on Expiration Dates......................................................................... 9

    Impact of Open Interest on Return Distribution .....................................................................10

    Conclusion .................................................................................................................. 11

    Appendix I: Sector Volatility Snapshots.............................................................................. 12

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Fourth Quarter Earnings Related Volatility This January, a majority of companies in the S&P 500 reported fourth quarter results. As of Febru2006, 367 S&P 500 constituents have reported 4Q earnings (including December 2005), of whic266 (72%) reported in January. Approximately 59% reported positive EPS surprises, outnumcompanies having negative surprises by a ratio of about 3.31.

    In this section, we examine how average implied and realized volatility changed during thetrading days leading up to each earnings announcement. Our sample universe includes companiethe S&P 500 that reported results from 12/1/05 to 2/7/06.

    Figure 1 illustrates the averageabsolute daily percent price change2 for S&P 500 companies that havealready reported their results, during the 20 trading days leading up to and immediately followeach companys earnings announcement. We find the average absolute return immediately followearnings announcements (absolute earnings reaction) this season has been about 3.5%, slihigher than the average post-earnings reaction S&P 500 companies experienced in the last two ye3 We believe this years slightly higher absolute earnings reaction could be influenced by the relalarge price reactions a select number of companies (such as INTC and YHOO) had in January.

    We also note that one month implied volatility began rising roughly three weeks before the daannouncement (Figure 2). This is similar to the historical behavior in implied volatility befearnings announcement.

    Figure 1: Average Absolute EPS Reaction Ahead of Q4 Earnings Figure 2: Average 1-Month Implied Volatility Ahead of Q4 Ear

    0.0%

    0.5%

    1.0%

    1.5%

    2.0%

    2.5%

    3.0%

    3.5%

    4.0%

    t - 2 0

    t - 1 8

    t - 1 6

    t - 1 4

    t - 1 2

    t - 1 0 t - 8 t - 6 t - 4 t - 2 t

    Days to Earnings Announcement

    A v e r a g e

    A b s o

    l u t e R e t u r n

    Absolute Earnings Reaction

    20%

    22%

    24%

    26%

    28%

    30%

    t - 2 0

    t - 1 8

    t - 1 6

    t - 1 4

    t - 1 2

    t - 1 0 t - 8 t - 6 t - 4 t - 2 t

    Days to Earnings Announcement

    A v e r a g e

    1 - M o n

    t h I m p

    l i e d V o

    l a t i l i t y

    Average 1-Month Implied Volatility

    Source: Lehman Brothers, MarketQA Source: Lehman Brothers, OptionMetrics

    1 Please seeInside the Earnings Season, U.S. Strategy for additional details.2 From a volatility trading perspective, absolute returns (the absolute value of actual returns) are more relevant thareturns. This is because pure volatility traders would delta-hedge option positions to minimize their exposure to dmoves in the underlying stock itself.

    3 Please see our reportEarnings Impact on Implied and Realized, Options Strategy Monthly, January 10, 2006 for ahistorical analysis of changes in volatility heading into earnings announcement dates.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Next, we examine the degree to which actual absolute earnings reactions thus far in Q4 05 hadiffered from expected absolute earnings reactions the options market was pricing the day prieach companys earnings release.

    As Figure 3 illustrates, stocks within the Retailing industry group have had the highest average aearnings reaction versus what had been priced in by the options market. In other words, it appthat the options market has underestimated the magnitude of the absolute earnings reaction for s

    within the Retailing industry group. However, this average figure is likely skewed by a few com(such as BBBY, BBY and AMZN) that had large downside surprises, and thus large absolute returns (ten companies within this industry group have reported earnings so far).

    On the other hand, stocks within the Semiconductors & Semiconductor Equipment industry grouexhibited relatively low average absolute price returns versus what had been priced in by the opmarket. We believe one of the primary factors causing this relates to how risk expectations frelatively high proportion of stocks within an industry group can change in response to one ocompany-specific events. For example, we found that option market participants began pricihigher expected price moves for the majority of Semiconductor stocks that had yet to report in thhalf of January, following the large negative reaction to INTCs earnings announcement.

    Figure 3: Difference in Implied and Actual Earnings Reaction by Industry Group

    6 6 10 8

    31 2711

    19 21 145

    1324 26 23

    5 416 20

    2817

    517

    10-4%

    -3%

    -2%

    -1%

    0%

    1%

    2%

    3%

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    t i o n

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    i c e s

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    i & S e m

    i E q u

    i p

    Implied - Actual Absolute Reaction# Companies Reported

    Source: Lehman Brothers, OptionMetrics, Bloomberg, MarketQA

    We have found that immediately following earnings events, 1-month implied volatility tends to by about 3 vol points, on average, for stocks within the S&P 500. In this section we examine homonth implied volatility changed following earnings announcement this season for companies hextremely positive (> 10%) or negative (< -10%) returns, to test whether changes in implied vfollowing an earnings announcement can be dependent upon the direction of a stocks return.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Figure 4: Implied Volatility Change in Stocks Having Large Earnings ReactionsStocks with

    Large PositiveReactions

    Stocks withLarge Negative

    ReactionsNumber of Stocks 15 10

    Average Return after Announcement 12.6% -12.3% Average Implied Vol Before Earnings 39% 40% Average Implied Vol After Earnings 31% 35% Average Change in Implied Vol -9% -6%Number of Implied Vol Decreases 15 7% of Implied Vol Decreases 100% 70% Source: Lehman Brothers, Bloomberg

    As Figure 4 highlights, only 10 (15) of the companies that have reported earnings thus far havelarge negative (positive) reactions following their earnings announcement. Among the 10 comphaving large negative reactions, 3 experienced an increase in 1-month implied volatility the day their earnings were released. On the other hand, for the 15 companies having the large positive stprice reactions, none had an increase in 1-month implied volatility after their earnings were releIn addition, all of these companies 1-month implied volatility declined the subsequent day.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Volatility Trading Environment

    Rapid Growth in ETF Option Volumes

    As we reported in last months edition of the Options Strategy Monthly, the total volume for optsingle stocks4 increased dramatically during 2005. This general trend has continued in 2006, durin

    which a couple of total daily volume records were set across exchanges. On the other hand, volon the underlying stocks remains relatively flat.

    ETF Option Volume Rising Faster than Single Stock Option VolumeWe analyze how volume of options on Exchange Traded Funds (ETFs) has changed relative to ovolume on single stocks. Our universe includes all listed ETFs based on U.S. indices and sectocurrently have options; the single stock universe includes the current constituents of the S&P 5sample period is from January 1, 2004 to January 31, 2006.

    We find that since January 2004, although the absolute 1-month average daily trading volumsingle stock options remains high vs. options on ETFs5, the rate of increase in ETF options volume hacontinued to outpace growth in single stock option volume (Figure 5).

    We believe one of the primary reasons for this is the increase in the total number of ETFs introduring the past two years. The total trading volume on these as well as ETFs introduced prior to has increased, leading to increasing option volumes on ETFs (Figure 6).

    Figure 5: Option Volume on ETFs Outpacing that of Single Stocks Figure 6: Volume on ETFs and Options on ETFs Rising

    50

    100

    150

    200

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    4 A p

    r - 0 4

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    g - 0 4

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    D e c - 0

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    5

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    t i o n

    A v g .

    V o

    l u m e

    ( S c a

    l e d )

    ETF Option Volume ( Scaled)

    Single-Stk. Option Volume (Scaled)

    10

    15

    20

    25

    30

    J a n - 0

    4 M a

    r - 0 4

    M a y - 0

    4 J u l - 0

    4

    S e p - 0

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    5

    S e p - 0

    5 N o

    v - 0 5

    J a n - 0

    60

    2,0

    4,0

    6,0

    8,0

    ETF Option Volume (MM contracts)

    ETF Volume (MM)

    Source: Lehman Brothers, OptionMetrics. Source: Lehman Brothers, OptionMetrics, Bloomberg.

    ETF Option Volume versus Single Stock Option Volume: Macro Risk MattersWe find the total volume of options on all U.S. ETFs tends to increase relative to options on

    during periods of high macro risk expectations for equities, inferred by abnormally high S&Pimplied volatility (Figure 7). It has been well established that abnormally high macro fear teresult from market shocks, during which single stock performance becomes more dependent omovement of the market/event itself, rather than company-specific factors such as earnings surpriother words, stocks tend to become more positively correlated with one another during perio

    4 Our sample universe includes constituents of the S&P 500 Index.5 For example, during January 2006, the 1-month average daily option volume at the single-stock level was about 3million contracts versus about 1.0 million for that of ETFs.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    heightened macro risk expectations, particularly if the abnormally high level of implied vcoincides with unanticipated events such as terrorist attacks, versus anticipated events such as easeason, even if the index is realizing relatively lower volatility. Thus, one would expect investorto hedge their positions during periods of heightened macro uncertainty to use more macro-reinstruments such as options on ETFs.

    Figure 7: Macro Fear: ETF vs. Single Stock Option Total Volume Figure 8: Energy ETF/Total Sector-Based ETF Option Volume

    11%

    12%

    13%

    14%

    15%

    16%

    17%

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    4 M a

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    M a y - 0

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    r - 0 5

    M a y - 0

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    5

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    6

    A v g . S

    P X 3 - M o n

    t h I m p

    l i e d V o

    l .

    0.22

    0.24

    0.26

    0.28

    0.30

    0.32

    0.34

    0.36

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    0.40

    0.42

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    i n g

    l e S t o c

    k O p

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    l u m e

    R a

    t i oGM Credit, IBM Results,

    Poor Econ. Data, SPX Selloff

    Q3 EPS Anxiety

    Oil Spikes, MarketFears Rise

    0%

    10%

    20%

    30%

    40%

    50%

    60%

    J a n - 0

    4 M a

    r - 0 4

    M a y - 0

    4 J u l - 0

    4

    S e p - 0

    4 N o

    v - 0 4

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    r - 0 5

    M a y - 0

    5 J u l - 0

    5

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    v - 0 5

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    6

    O p

    t i o n

    V o

    l u m e

    R a

    t i o

    ( E n e r g y

    / S e c

    t o r

    E T F s

    30

    40

    50

    60

    70

    Energy ETF/Sector ETF Options Volume Ratio

    Average Monthly Crude Price

    Source: Lehman Brothers, OptionMetrics. Source: Lehman Brothers, OptionMetric, Bloomberg

    We also observe that the recent growth in volume of options on sector-based ETFs is largely drivthe increasing popularity of Energy sector ETFs (e.g. XLE, OIH). As Figure 8 illustrates, the option volume in Energy ETFs has outpaced volume in other sectors. In addition, the total numEnergy ETF contracts currently trading represents about half of the total volume of options on aETFs. This has occurred concurrently with the rally in crude oil prices and the Energy sector.

    Recent Developments in the Options Market

    Options on the VIXOn February 24, options on the VIX index will commence trading, presenting an instrument for tvolatility of volatility. These options will have contracts expiring on the two near months apone additional expiration month on the February quarterly cycle.

    Investors who wish to insure their portfolios against a large market shock could use calls on the an alternative to purchasing S&P 500 index puts. However, the VIX index has historically experhigh realized volatility (22-day realized currently trades above 90%) and upside moves in thcould be magnified in the event of a large negative market catalyst. The asymmetry of changes iVIX can be illustrated by the fact that since 1990, there have been 16 instances when it experienan upside move of more than 20%, compared with 3 cases when the index fell by more than 20This should imply that writers of calls on the VIX would demand a higher premium, raising theinsurance using calls on the VIX.

    Change in Options Trading HoursU.S. option exchanges have announced a change in market trading hours for options on stocks sector-based indexes or ETFs. Beginning February 13, the new trading hours will be from 9:30 Ato 4:00 PM ET, instead of the present closing time of 4:02 PM ET. Options on market indexes ETFs on such indexes will continue to trade until 4:15 PM ET.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Impact of Option Expiration on Underlying Price Changes

    Equity options expire on the Saturday following the third Friday of each month, although the Frexpiration (or Thursday if the Friday is an exchange holiday) is the last trading date for the excontracts. We have found that average contract volume traded in options on stocks and indeincreases as expiration week progresses and reaches a peak on the last trading day of the week 6.

    Several studies have attempted to explore whether the introduction of options impacts the retutheir underlying stocks and indexes. In this study, we examine the effect option hedging activity hthe price movements in the stocks themselves as option expiration approaches.

    Market makers in option contracts tend to delta-hedge their positions to eliminate exposudirectional changes in the underlying price. This delta-hedging activity becomes more critical as expiration approaches and the gamma for at-the-money options increases sharply. If the numbshares represented by the outstanding contracts is a significant proportion of the average daily voin the stock, returns in the cash market can be affected by this delta hedging activity.

    Delta hedging by traders who have purchased options (long gamma positions) tend to dampen sprice moves, since they tend to hedge by buying the underlying stock when it declines, and sell sh

    when prices rise. For example, a volatility trader having a long call position would maintain a position in the underlying stock to hedge against downside directional risk in the underlying. stock price increases, the call moves in the money and more shares are needed to be sold in ordemaintain the delta-neutral position. The opposite holds if the price decreases, in which caseunderlying shares would be repurchased to remain delta-neutral. Thus, if a large proportion of heare long gamma, price changes in the underlying shares would tend to be dampened. On the othhand, delta-hedgers having a net short position in options tend to exacerbate moves in the underlsince they tend to buy more shares of the underlying as its price increases and sell more whenshares decline. The extent to which stocks remain pinned to strikes having relatively highinterest depends on whether the majority of the delta-hedgers have a net long or short option posit

    Please note that the outstanding open interest at a given strike price is only an approximate measuthe anticipated hedging activity since option market makers can hedge their positions using option contracts rather than the underlying stock itself.

    The universe we use in this study includes constituents of the S&P 500 Index. The time period from January 2004 to December 2005.

    Price Returns in Expiration Week versus Other Weeks

    We compare the average returns on days leading up to expiration Fridays with returns leading uFridays on non-expiration weeks. Figure 9 shows that the average return for S&P 500 stocks realmost constant as the week progresses in non-expiration weeks. However, price variability has teto be relatively lower toward the end of expiration weeks.

    6 Please seeEquity Volatility Snapshot, January 24, 2006 for additional details.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Figure 9: Comparative Returns in Expiration Week and Other Weeks

    -0.3%

    -0.2%

    -0.1%

    0.1%

    0.2%

    0.3%

    t - 2 t - 1 t D a

    i l y R e t u r n s

    1.4%

    1.5%

    1.6%

    1.7%

    A b s o

    l u t e D a i

    l y R e

    t u r n

    Expiration Week Returns Returns in Other Weeks Expiration Week Absolute Returns (RHS)

    Source: Lehman Brothers, OptionMetrics

    Stock Return Distribution on Expiration Dates

    Since the mean of the returns is distorted by extreme moves, we compare the return distributstocks from the close on the day before expiration to the close on expiration with the average rdistribution for all companies in the universe during the last two years. We shortlist stocks whoscould potentially be impacted by hedging activity, by including stocks which close within 1%contract strike on the day prior to expiration. Options with such strikes are closer to their at-thelevel and hence are likely to experience wide fluctuations in their delta close to expiration.

    Figure 10 illustrates the distribution of expiration date returns for the shortlisted stocks. We standtheir returns by dividing their close-to-close return on expiration by their rolling 3-month realized(we do this since a large price move is a more common in stocks having relatively high standeviations of their returns). Thus, expressing stocks return distribution in terms of standard dlevels adjusts the effect of stocks having higher volatility tending to experience large percentage with greater frequency.

    Figure 10: Distribution of Returns on Expiration Date versus Average Distribution

    0%

    1%

    2%

    3%

    4%

    5%

    - 0 . 3

    - 0 . 2

    - 0 . 1 0 . 1 0 . 2 0 . 3

    Standard Deviation of Returns

    P r o

    b a b

    i l i t y

    Av erage Distribution

    Distribution on Expiration

    Source: Lehman Brothers, MarketQA

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    We find that there is a slightly higher probability of returns remaining closer to zero versus thexpiration-date return distribution when stocks have a closing price before expiration within 1%traded strike, although the effect is not very pronounced on an aggregate basis. This could bconsequence of the hedging activity of long option holders.

    We also find that the probability of large negative returns tends to be higher than that of the avedistribution. However the probability of very large positive returns does not appear to be signifidifferent from the average distribution on non-expiration dates. The higher peak and fatte(representing a more leptokurtic7 distribution) are consistent with the expected delta-hedging activwhich tends to increase the frequency of very high or very low price returns at expiration.

    Impact of Open Interest on Return Distribution

    Having examined the return distribution when stocks close near a strike before expiration, weanalyze whether a large open interest of contracts outstanding at that strike has a tendency to caugreater degree of pinning. We can use the kurtosis of the return distribution as a pin factorrough proxy for measuring the impact of hedging activity. A higher pin factor would indic

    relatively larger number of returns clustered close to zero and a distribution having fatter tails.that such a measure would be more stable in a distribution having a higher number of data poThus, this study only provides an approximate guide to the extent of the pinning effect.

    The open interest outstanding at each strike (calls plus puts) allows us to gauge the stocks demasupply if all option holders and writers were dynamically delta hedging their option positions. Thdivide the open interest by the stocks volume to account for its liquidity. We divide the distributiquartiles on the basis of this open interest to volume ratio, with Quartile 1 representing the grouthe highest ratio. Figure 11 demonstrates that the two largest quartiles (according to this metric) erelatively more leptokurtosis, whereas the extent of pinning appears to be much lower for the othequartiles. However, the probability of extreme returns (more than 0.2 standard deviations) in direction does not appear to depend very strongly upon the quartile of the open interest to voratio.

    Our study also indicates that high open interest as a proportion of stock volume results in a laverage absolute return for the stock on the day of expiration (Figure 12). This could imply thaverage, the delta-hedging activity of option traders who are net long options appears to have bmore pronounced than the hedging activity of short gamma traders.

    7 Kurtosis is the fourth moment of a distribution and is a measure of the peakedness or fat-tailedness. A leptokudistribution is one with a higher peak and fatter tails than the normal distribution. A platykurtic distribution has smaand a flatter top than the normal distribution.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Figure 11: Extent of Pinning by Open Interest/Stock Volume Figure 12: Absolute Returns by Open Interest/Stock Volume

    OpenInterest/Volume

    Quartile#

    Avg OpenInterest /Volume

    Pin Factor(Kurtosis)

    Probability(Returns >0.2 Stdev)

    Probility(Returns < -0.2 Stdev)

    Quartile 1 (Highest) 620 62% 26 0.8% 0.3%Quartile 2 620 25% 39 0.3% 1.0%Quartile 3 620 12% 7 0.6% 0.3%Quartile 4 (Lowest) 620 4% 2 0.2% 0.6%

    0.6%

    0.7%

    0.8%

    0.9%

    1.0%

    1.1%

    1.2%

    < 1 %

    1 % - 5 %

    5 % - 1 0

    %

    1 0 %

    - 1 5

    %

    1 5 %

    - 2 0

    %

    2 0 %

    - 3 0

    %

    3 0 %

    - 5 0

    %

    5 0 %

    - 1 0

    0 %

    > 1 0

    0 %

    Open Interest (% of Volume)

    A v e r a g e

    A b s o l u

    t e R e

    t u r n

    Source: Lehman Brothers, OptionMetrics Source: Lehman Brothers, OptionMetrics

    Conclusion

    We examined the impact option expiration has on the price returns in the underlying stocks themsThe distribution of expiration day returns for stocks that close within 1% of a listed strike on before expiration tends to have a higher peak than the average return distribution for S&P 500 stoThis might indicate a small degree of pinning of the underlying stock price to the respective strikeconsequence of the hedging activity of long option holders. We have also found that, as a proportof underlying stock volume, options with a higher open interest tend to cause greater peakednethe return distribution. This could imply that, on average, the delta-hedging activity of option who are net long options appears to have been more pronounced than the hedging activity of sgamma traders.

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Appendix I: Sector Volatility Snapshots

    In this section, we introduce our Sector Volatility Snapshots. These snapshots allow investors toassess aggregate volatility information for each GICS sector in the S&P 500 Index.

    The average volatility (implied or realized) for a GICS sector is calculated as the weighted- avevolatility of each of their respective index constituents, weighted by market capitalizationweighted-average volatility for a GICS industry group is obtained similarly. ETFs having optiomapped to one GICS sector each, although the mapping is not perfect since stocks in an ETF couclassified into multiple sectors as per the GICS sector classification methodology. Howeverclosely reflect the performance and volatility characteristics of the sectors and industries they repr

    We display the weighted-average implied and realized volatility at the sector level for a year period. For each industry group within the sector and each ETF that closely resemthe respective industry or sector, we provide the number of standard deviations the culevel of the implied-realized volatility spread is trading above or below to its onehistorical mean. A highly negative standard deviation could indicate that options are tracheap, whereas a highly positive standard deviation possibly implies such options relatively rich. (Note that there usually do not exist actively traded options at the in

    group level and the relative richness/cheapness indicators for these industry groupings shonly be used only as a starting point for identifying single-stock volatility trades withindustry group. Furthermore, while options on ETFs exist, their liquidity should be takaccount before executing a trade, since many are currently thinly traded as well.)

    The Largest Implied Volatility Increases and Largest Implied Volatility Decreases destocks within the sectors that have experienced the highest and lowest absolute changeimplied volatility, over one-week and one-month periods.

    The Put-Call Skew is calculated as the difference between the 3-month put-implied voand the 3-month call-implied volatility for 20 delta puts and 20 delta calls, divided by thmonth at-the-money implied volatility. The weighted-average skew at the sector and ingroup level are calculated similarly, except the volatility used is the market-cap weigaverage implied volatility. If the current skew level is trading a relatively high numbstandard deviations above its one-year average, this could indicate the option markepricing in increasing risk expectations for the underlying stock, since the putcall imvolatility differential implies that option traders have been bidding up put protection, than upside participation via long call positions.

    We show the history of the slope of the volatility term structure as measured by the diffebetween 12-month and 3-month at-the-money implied volatilities. Since longer term ivolatility tends to be more stable than implied volatility on shorter-dated options, a lowestructure spread relative to its historical pattern could indicate 3-month options are trricher than they typically have in the past. Alternatively, if the slope of the term strucrelatively steep, one might infer near term options are trading at a relative discount to lo

    dated options.

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    Figure 13: Energy Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    DVN 39% 5% 36% SLB 39% 11% 35% NBR 37% -1% 36% BR 16% 0% 31%

    SLB 39% 5% 35% BHI 39% 10% 34% BJS 38% -1% 36% KMI 22% 1% 18%

    MRO 35% 3% 34% NOV 44% 6% 45% BR 16% 0% 31% APC 34% 1% 30%

    APA 36% 3% 30% COP 32% 6% 31% MUR 33% 1% 30% AHC 37% 1% 35%

    NOV 44% 3% 45% MRO 35% 6% 34% KMI 22% 1% 18% MUR 33% 2% 30%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    30%

    35%

    40%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg Im pl ie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    2%

    4%

    6%

    8%

    10%

    12%

    14%

    16%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

    OSX

    IYE

    XOI

    OIH

    XLE

    Energy

    XNG

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0

    XNG

    Energy

    OIH

    IYE

    XLE

    OSX

    XOI

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -5%

    -4%

    -3%

    -2%

    -1%

    0%

    1%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0

    5 J u n - 0

    5 J u l - 0

    5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -3.5-3.0-2.5-2.0-1.5-1.0-0.50.0

    OSX

    OIH

    XOI

    XNG

    IYE

    XLE

    Energy

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Figure 14: Materials Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    MWV 21% 7% 15% X 52% 12% 44% WY 21% -1% 16% EC 18% -8% 47%

    ATI 49% 6% 39% ATI 49% 8% 39% IP 22% -1% 18% ECL 17% -2% 14%

    X 52% 4% 44% NUE 42% 7% 35% NEM 37% -1% 35% IFF 20% -1% 14%

    VMC 28% 3% 34% FCX 39% 4% 37% PD 40% -1% 40% DD 19% -1% 15%

    NUE 42% 2% 35% PTV 27% 4% 23% SIAL 17% 0% 11% SEE 21% -1% 15%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    30%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    2%

    4%

    6%

    8%

    10%

    12%

    14%

    16%

    18%

    20%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    0.0 0.2 0.4 0.6 0.8 1.0

    XAU

    XLB

    IYM

    Materials

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5

    Materials

    XLB

    XAU

    IYM

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -2%

    -2%

    -1%

    -1%

    0%

    1%

    1%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.5-2.0-1.5-1.0-0.50.00.51.0

    Materials

    XAU

    IYM

    XLB

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Figure 15: Industrials Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    CD 29% 3% 27% NAV 39% 4% 30% TYC 23% -2% 32% PLL 21% -4% 15%

    COL 21% 3% 23% IR 23% 2% 21% APCC 32% -2% 36% AW 31% -3% 26%

    CAT 27% 3% 23% GE 16% 2% 14% PLL 21% -1% 15% ITT 22% -3% 27%

    NAV 39% 2% 30% CAT 27% 1% 23% UPS 18% -1% 16% APCC 32% -2% 36%

    WMI 19% 1% 14% CD 29% 1% 27% ROK 23% -1% 19% NOC 15% -2% 11%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    0.0 0.5 1.0 1.5 2.0 2.5

    XAL

    CYC

    Capital Goods

    XLI

    Transportation

    Commercial Services & Supplies

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5

    Capital Goods

    CommercialServices & Supplies

    Transportation

    XLI

    CYC

    XAL

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -1%

    0%

    1%

    1%

    2%

    2%

    3%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.5-1.0-0.50.00.51.0

    Commercial Services & Supplies

    Capital Goods

    XLI

    CYC

    Transportation

    XAL

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Figure 16: Consumer Discretionary Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    DCN 72% 12% 71% MYG 65% 28% 24% AMZN 32% -10% 30% F 43% -7% 33%

    MYG 65% 9% 24% DCN 72% 16% 71% UVN 28% -5% 30% MAT 23% -5% 23%

    SHW 28% 4% 18% GT 38% 5% 43% GT 38% -4% 43% MCD 23% -4% 19%

    GM 66% 3% 54% SHW 28% 4% 18% KRI 24% -3% 16% AMZN 32% -4% 30%

    BLI 39% 3% 29% IPG 33% 4% 23% CC 35% -2% 29% DG 21% -4% 21%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    30%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Av g I mp li ed Vo l W gt Av g Re al ize d Vol

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5

    Media

    RTH

    HHH

    Automobiles & Components

    Consumer Services

    Consumer Durables & Apparel

    XLY

    Retailing

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5

    RTH

    Consumer Services

    Retailing

    HHH

    Consumer Durables & Apparel

    Media

    XLY

    Automobiles & Components

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -3%

    -2%

    -2%

    -1%

    -1%

    0%

    1%

    1%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.5-2.0-1.5-1.0-0.50.00.51.01.52.02.5

    HHH

    Automobiles & Components

    Media

    Retailing

    Consumer Durables & Apparel

    Consumer Services

    XLY

    RTH

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Figure 17: Consumer Staples Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    ACV 22% 2% 18% HNZ 19% 3% 11% TSN 26% -1% 32% ABS 13% -18% 33%

    CLX 18% 2% 19% SVU 25% 2% 24% KR 21% -1% 16% EL 23% -4% 22%

    WFMI 34% 2% 30% CLX 18% 1% 19% SVU 25% -1% 24% KR 21% -3% 16%

    ABS 13% 1% 33% HSY 21% 1% 17% UST 22% -1% 21% UST 22% -2% 21%

    CVS 24% 1% 21% BUD 17% 1% 14% CCE 22% -1% 18% COST 20% -2% 16%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    10%

    15%

    20%

    25%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

    Food & StaplesRetailing

    XLP

    Household &Personal Products

    Food, Beverage &Tobacco

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.4 -0.2 0.0 0.2 0.4 0.6 0.8

    XLP

    Food & StaplesRetailing

    Household &Personal Products

    Food, Beverage &Tobacco

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -1%

    -1%

    0%

    1%

    1%

    2%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.4-0.3-0.2-0.10.00.10.20.30.4

    Food & StaplesRetailing

    XLP

    Food, Beverage &Tobacco

    Household &Personal Products

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Figure 18: Health Care Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    BAX 24% 3% 16% GDT 23% 10% 33% BSX 38% -7% 32% THC 45% -4% 30%

    THC 45% 2% 30% CHIR 9% 6% 5% CHIR 9% -5% 5% AET 24% -4% 23%

    AMGN 26% 2% 24% ESRX 36% 4% 26% RX 18% -3% 20% RX 18% -3% 20%

    PKI 28% 2% 24% BMY 25% 4% 18% AET 24% -2% 23% UNH 25% -3% 22%

    FRX 31% 2% 23% BSX 38% 4% 32% CVH 27% -2% 21% TMO 21% -3% 18%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    30%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0

    Pharmaceuticals & Biotechnology

    PPH

    XLV

    IYH

    Health Care Equipment & Services

    BBH

    IBB

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0

    BBH

    Health Care Equipment & Services

    IYH

    Pharmaceuticals & Biotechnology

    IBB

    XLV

    PPH

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -3%

    -2%

    -2%

    -1%

    -1%

    0%

    1%

    1%

    2%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.8-0.6-0.4-0.20.00.20.40.6

    Health Care Equipment & Services

    IBB

    PPH

    XLV

    Pharmaceuticals & Biotechnology

    BBH

    IYH

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    February 10, 2006

    Figure 19: Financials Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    JP 28% 5% 11% JP 28% 8% 11% CFC 28% -5% 26% CFC 28% -5% 26%

    FRE 23% 3% 18% ET 35% 4% 27% C 15% -2% 15% WM 21% -4% 21%

    AOC 31% 2% 21% SAFC 23% 3% 16% NTRS 18% -2% 16% PRU 21% -3% 15%

    EQR 19% 1% 14% BSC 23% 3% 19% JNS 29% -2% 28% SPG 20% -3% 17%

    NFB 21% 1% 14% ALL 19% 3% 15% PFG 18% -2% 13% JNS 29% -3% 28%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    10%

    15%

    20%

    25%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    35%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.5 0.0 0.5 1.0 1.5 2.0 2.5

    Diversified Financials

    BKX

    XLF

    IYF

    IYRXBD

    RKH

    Banks

    Insurance

    ICF

    Real Estate

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5

    Banks

    IYF

    Insurance

    BKX

    Diversified Financials

    IYR

    XLF

    RKH

    Real Estate

    ICF

    XBD

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -1%

    -1%

    0%

    1%

    1%

    2%

    2%

    3%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.0-1.5-1.0-0.50.00.51.0

    Banks

    IYR

    RKH

    ICF

    Diversified Financials

    XBD

    XLF

    IYF

    Insurance

    Real Estate

    BKX

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    February 10, 2006

    Figure 20: Information Technology Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    CIEN 63% 6% 47% AMD 52% 9% 43% PMTC 35% -9% 34% SBL 37% -9% 27%

    GTW 57% 5% 51% BRCM 41% 6% 47% JDSU 53% -5% 54% VRSN 32% -8% 25%

    AMD 52% 4% 43% GTW 57% 6% 51% AMCC 53% -3% 43% SLR 41% -7% 34%

    MOT 33% 3% 31% JDSU 53% 4% 54% CSCO 21% -3% 24% CSC 28% -5% 37%

    ADCT 45% 3% 41% MU 38% 4% 32% SFA 8% -3% 11% ALTR 29% -5% 32%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    15%

    20%

    25%

    30%

    35%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.0 -1.0 0.0 1.0 2.0 3.0 4.0 5.0

    Semiconductors & Semiconductor EquipmentSMHIGMSoftware & ServicesIYWMSHIAHBDHSOXIGVSWHWMHIGNTXXIGWXCITechnology Hardware & EquipmentXLK

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -6.0 -4.0 -2.0 0.0 2.0 4.0 6.0

    XCISemiconductors & Semiconductor EquipmentMSHSoftware & ServicesIGMIGWTXXIAHWMHSOXIYWTechnology Hardware & EquipmentIGNSWHIGVSMHBDHXLK

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -3%

    -2%

    -2%

    -1%

    -1%

    0%

    1%

    1%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5 J u

    l - 0 5 A u

    g - 0 5 S e

    p - 0 5 O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.0-1.5-1.0-0.50.00.51.01.52.02.5

    XLKSemiconductors & Semiconductor EquipmentSMHWMHIGWTechnology Hardware & EquipmentMSHIGVIGNIYWTXXSOXIAHSWHIGMBDHSoftware & ServicesXCI

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    February 10, 2006

    Figure 21: Telecommunication Services Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    S 29% 3% 18% Q 43% 5% 30% T 14% -1% 13% VZ 17% -2% 15%

    Q 43% 2% 30% S 29% 3% 18% CTL 19% 0% 18% CZN 18% 0% 16%

    CZN 18% 2% 16% AT 20% 1% 16% BLS 17% 0% 16% CTL 19% 0% 18%

    VZ 17% 1% 15% T 14% 0% 13% AT 20% 1% 16% BLS 17% 0% 16%

    AT 20% 1% 16% BLS 17% 0% 16% VZ 17% 1% 15% T 14% 0% 13%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    10%

    15%

    20%

    25%

    30%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    30%

    35%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.0 -1.5 -1.0 -0.5 0.0 0.5

    IYZ

    TTH

    TelecommunicationServices

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0

    TelecommunicationServices

    IYZ

    TTH

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -1%

    -1%

    0%

    1%

    1%

    2%

    2%

    3%

    3%

    4%

    4%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.8-0.6-0.4-0.20.00.20.40.60.81.0

    IYZ

    TelecommunicationServices

    TTH

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    February 10, 2006

    Figure 22: Utilities Sector Volatility Snapshot (as of February 9, 2006)

    Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol Ticker Implied Vol Change Realized Vol

    AYE 34% 8% 18% AYE 34% 8% 18% AES 30% -2% 23% TXU 29% -3% 27%

    DYN 51% 6% 40% AES 30% 4% 23% NI 19% -2% 15% CMS 22% -3% 17%

    XEL 16% 2% 13% DYN 51% 3% 40% FPL 18% -2% 17% ED 16% -3% 10%

    PEG 20% 1% 19% DTE 15% 2% 13% DUK 16% -1% 14% NI 19% -3% 15%

    KSE 17% 1% 15% KSE 17% 1% 15% CEG 21% -1% 27% FPL 18% -3% 17%

    Largest Implied Volatility Increases Largest Implied Volatility Decreases1-week Increase 1-month Increase 1-week Decrease 1-month Decrease

    Implied Volatility vs Realized Volatility

    10%

    15%

    20%

    25%

    30%

    F e b - 0

    5

    M a r - 0

    5 A p

    r - 0 5

    M a y - 0

    5 J u

    n - 0 5

    J u l - 0 5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a

    n - 0 6

    W gt Avg I mp lie d Vol W gt Avg Re al iz ed Vo l

    3-Month Put-Call Skew (20 Delta)

    0%

    5%

    10%

    15%

    20%

    25%

    F e b - 0

    5 M a

    r - 0 5

    A p r - 0

    5

    M a y - 0

    5 J u n

    - 0 5 J u l - 0

    5

    A u g - 0

    5

    S e p - 0

    5 O c

    t - 0 5

    N o v - 0

    5

    D e c - 0

    5 J a n

    - 0 6

    Wgt Avg 20 Delta Skew (3m) Avg + 1 Stdev Avg - 1 Stdev

    Implied-Realized Spread (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

    UTY

    IDU

    Utilities

    UTH

    XLU

    Cheap > > > > > > > > > > > > Rich

    Relative Skews (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    UTY

    UTH

    IDU

    XLU

    Utilities

    Cheap > > > > > > > > > > > > Rich

    12-Month - 3-Month Term Spread

    -3%

    -2%

    -2%

    -1%

    -1%

    0%

    1%

    1%

    2%

    2%

    F e b - 0 5

    M a r - 0 5

    A p r - 0 5

    M a y - 0 5

    J u n - 0 5

    J u l - 0 5

    A u g - 0 5

    S e p - 0 5

    O c t - 0 5

    N o v - 0 5

    D e c - 0 5

    J a n - 0 6

    Wgt Avg 12m-3m Term Avg + 1 Stdev Avg - 1 Stdev

    Relative Term Spreads (by Industry Groups/ETF)# of Standard Deviations from 1-year Average

    -1.0-0.8-0.6-0.4-0.20.00.2

    IDU

    XLU

    Utilities

    UTY

    UTH

    Cheap > > > > > > > > > > > > Rich

    Note: The put-call skew is calculated by taking the difference between the 20-Delta put-implied volatility and 20-Delta call-implied volatility, divided by the 3-month ATM implied volatility. Sector level volatilities are themarket cap weighted implied volatilty for each constituent. A high skew is generally associated with a relatively high demand for downside protection.

    Note: The term structure spread is calculated by taking the difference between the 12-month ATM implied volatility and the 3-month ATM implied volatility. Sector level term spread is calculated from the market capweighted implied volatilities of the constituents. A steep term structure indicates shorter-dated implied volatility could be ch eap relative to longer-dated implied volatility.

    Note: We calculate each sector's av erage implied volatility by weighting the 3-month at-the-money implied volatility of its constituents by market capitalization.Investors should consider liquidity of options of a stock or ETF before entering an options position since, although options on ETFs exist, many are thinly traded.

    Source: Lehman Brothers, OptionMetrics

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    Equity Derivatives Strategy |Options Strategy Monthly: February 2006

    Analyst Certification:I, Ryan Renicker, hereby certify (1) that the views expressed in this research email accurately reflect my personal views about any or all of the subject securities issuers referred to in this email and (2) no part of my compensation was, is or will be directly or indirectly related to the specific recommendations or views expressein this email.

    Options are not suitable for all investors and the risks of option trading should be weighed against the potential rewards.Supporting documents that form the basis of the recommendations are available on request. Please note that the trade ideas withinthis report in no way relate to the fundamental ratings applied to European stocks by Lehman Brothers' Equity Research.

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