Equity Correlations. March 2015
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1 Global Quantitative and Derivatives Strategy March 2015 Equity Correlations Marko Kolanovic, PhD AC Head, Global Quantitative and Derivatives Strategy (1-212) J.P. Morgan Securities LLC See the end pages of this presentation for analyst certification and important disclosures, including non-us analyst disclosures. J.P. Morgan 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 of interest that could affect the objectivity of this report. Investors should consider this report as only a single factor in making their investment decision. In the United States, this information is available only to persons who have received the proper option risk disclosure documents. Please contact your J.P. Morgan representative or visit
2 Developments in Cross Asset Correlations Realized correlations Stocks in an Index Sectors in an Index Stocks in a Sector Drivers of correlations Cyclical Seasonal Structural Correlation Risk Premia Implied Realized Term Structure Correlation Skew Correlation Trading: Setup Correlation Trading: Risks 1
3 Correlation of Stocks in an Index 70% 60% S&P 500 Stock Correlation 50% LTCM Russia/Asia 2008 Flash Crash Correlation Bubble / October 2014 Average correlation between stocks in an index Can be traded via index and stock options 40% σ 2 Index = i, j w w ρ σ σ i j ij i j 30% 20% 10% Bull Market ρ 2 σ Index i = i j i j w σ i 2 i w w σ σ j 2 i σ σ 2 Index Stock 2 Tech Bubble 0% Source: J.P. Morgan QDS, Bloomberg. 2
4 Correlation of Sectors in an Index 100% 90% 80% 70% LTCM Russia/Asia 9/ Correlation Bubble 2011 Average correlation between sectors in an index Can be traded via ETF and index options 60% 50% 40% Oil, USD Volatility 30% 20% 10% VIX Bottom Oil Volatility Correlation of S&P 500 Sectors 0% Source: J.P. Morgan QDS, Bloomberg. Tech Bubble 3
5 Correlation of Stocks Within a Sector 90% 70% Intra-Sector Correlation Energy Financials Utilities Average correlation between stocks in a sector Can be traded via ETF and stock options Assessing sectors for long/short opportunities 50% 30% LTCM Russia/Asia 2002 Bottom Oil Rally 2008 Correlation Bubble Health Care 10% Source: J.P. Morgan QDS, Bloomberg. 4
6 Drivers of Correlation: Cyclical Correlations largely driven by market cycles High volatility often coincides with high correlations Behavioral in nature ( risk on-off vs. stock picking ) S&P 500 Correlation 80% 60% 40% Current Correlation Bubble % 0% Source: J.P. Morgan QDS. Burst of Tech Bubble % 15% 30% 45% 60% S&P 500 Volatility 5
7 Drivers of Correlation: Seasonal Earnings months (Jan, Apr, Jul, Oct) and expiry months (Mar, Jun, Sep, Dec) Effect more pronounced recently; up to ~15 correlation points 55% 50% Seasonality of Stock Correlations and Structural Effects 45% Past 10 Years Mar Jun Sep Dec 40% 35% 30% 25% Q4 Q1 Past 30 Years Q2 Q3 Y/E 20% Source: J.P. Morgan QDS, Bloomberg. 6
8 Drivers of Correlation: Structural Index futures, options and ETFs volumes (as % of market) mechanically increase correlation Decrease in stock-specific risk increases correlations (e.g. Stat/Index Arb, High Frequency trading) Source: J.P. Morgan QDS, Bloomberg. 7
9 Correlation Risk Premia Implied correlation trades at a premium to realized. Correlation is convex Structural richness of index options and fairly priced stock options 80% 70% 1Y Implied 60% 50% 40% 30% 20% 1Y Realized 10% Source: J.P. Morgan QDS. 8
10 Correlation Risk Premia Implied correlation tends to trade at a premium. Correlation is convex Index options also more expensive than sector options 100% 1Y Implied 80% 60% 1Y Realized 40% 20% Source: J.P. Morgan QDS, Bloomberg. 9
11 Correlation Risk Premia Upward sloping correlation term structure Largely driven by index term structure 80% 70% 60% 50% Average Correlation Max Average Index Vol % 17 30% Min % 1M 3M 6M 1Y 2Y Source: J.P. Morgan QDS. Time Period
12 Correlation Risk Premia Pronounced correlation skew Largely driven by index skew 80% 23 70% Average Index Vol. Max % 50% Average Correlation % 30% Source: J.P. Morgan QDS. Time Period Min
13 Correlation Risk Premia Correlation risk premia currently rich vs. other volatility premia Not as easy to monetize 10% 10% 55 VIX VIXOption OptionPremia Premia(1M) (1M) S&P S&P Term TermPremia Premia(6M) (6M) 8% 8% 40% 33 6% 6% Correlation Premia (12M) 4% 4% 30% 11 2% 2% 0% 0% % -2% -2% -4% -4% Oct, Oct,11 11 May, May,12 12 Dec, Dec,12 12 Jul, Jul,13 13 Feb, Feb,14 14 Sep, Sep, Oct, Oct,11 11 May, May,12 12 Dec, Dec,12 12 Jul, Jul,13 13 Feb, Feb,14 14 Sep, Sep, % 12% 12% Stock StockVolatility VolatilityPremia Premia(3M) (3M) 10% 10% 44 VIX VIXTerm TermPremia Premia(1M-2M) (1M-2M) 8% 8% 6% 6% 0% 22 4% 4% 2% 2% 00 0% 0% -10% Oct, 11-2% -2% -4% -4% Oct, Oct,11 11 May, May,12 12 Dec, Dec,12 12 Jul, Jul,13 13 Feb, Feb,14 14 Sep, Sep, Oct, Oct,11 11 May, May,12 12 Dec, Dec,12 12 Jul, Jul,13 13 Feb, Feb,14 14 May, 12 Dec, 12 Jul, 13 Feb, 14 Sep, 14 Sep, Sep,14 14 JPM O R G AN Source: J.P. Morgan QDS. 12
14 Correlation Risk Premia Term and skew correlation premia increased Difficult to monetize (high cost of capital, no prop desks) 30% 2Y-3M % 30% Y 4 20% 4 25% % 2 20% % 0% Jan 10 Nov 10 Sep 11 Jul 12 May 13 Mar 14 Feb % % -6 5% Jan 10 Nov 10 Sep 11 Jul 12 May 13 Mar 14 Feb 15 2 Source: J.P. Morgan QDS. 13
15 Trading: Implementation Alternatives Correlation Swaps Linear instruments Impossible to replicate No Vol Gamma so levels pts lower to variance Variance Swaps Constant gamma exposure Incorporate skew so correlation levels are higher than ATM Easy to trade (for investors); stock variance difficult to hedge (for dealers) Volatility Swaps Constant volatility exposure Levels lower (~ATM, i.e pts below variance) Low convexity risk (for dealers) Straddles / Strangles / Calls / Puts Delta, Gamma, Vega all change Difficult to manage all Greeks Much higher flexibility Proxy baskets Taking volatility tracking risk to generate additional alpha Top 25, Top 50 (higher liquidity, lower t-cost), Custom basket (stock volatility RV, structured product axes) 14
16 Trading: Ratio of Index to Stock Vega What should the ratio of stock to index vega be to have correlation but no volatility exposure? Total stock vega should equal to (square root of) implied correlation times index correlation sell 1.6x correlation sell 1.3x correlation sell 1.0x index Problem is that correlation moves together with volatility Source: J.P. Morgan QDS. 15
17 Trading: Short Volatility Gamma When volatility goes up (ratio decreases), trade is short volatility When volatility goes down (ratio increases), trade is long volatility Lose-lose on moves in volatility i.e. trade is short Volatility Gamma S&P 500 (left), TOPIX (right), PnL during fall of 2008 (bottom) Hedge Source: J.P. Morgan QDS. 16
18 Risks of Common Option Strategies Risks to Strategies: Not all option strategies are suitable for investors; certain strategies may expose investors to significant potential losses. We have summarized the risks of selected derivative strategies. For additional risk information, please call your sales representative for a copy of Characteristics and Risks of Standardized Options. We advise investors to consult their tax advisors and legal counsel about the tax implications of these strategies. Please also refer to option risk disclosure documents. Put Sale. Investors who sell put options will own the underlying asset if the asset s price falls below the strike price of the put option. Investors, therefore, will be exposed to any decline in the underlying asset s price below the strike potentially to zero, and they will not participate in any price appreciation in the underlying asset if the option expires unexercised. Call Sale. Investors who sell uncovered call options have exposure on the upside that is theoretically unlimited. Call Overwrite or Buywrite. Investors who sell call options against a long position in the underlying asset give up any appreciation in the underlying asset s price above the strike price of the call option, and they remain exposed to the downside of the underlying asset in the return for the receipt of the option premium. Booster. In a sell-off, the maximum realized downside potential of a double-up booster is the net premium paid. In a rally, option losses are potentially unlimited as the investor is net short a call. When overlaid onto a long position in the underlying asset, upside losses are capped (as for a covered call), but downside losses are not. Collar. Locks in the amount that can be realized at maturity to a range defined by the put and call strike. If the collar is not costless, investors risk losing 100% of the premium paid. Since investors are selling a call option, they give up any price appreciation in the underlying asset above the strike price of the call option. Call Purchase. Options are a decaying asset, and investors risk losing 100% of the premium paid if the underlying asset s price is below the strike price of the call option. Put Purchase. Options are a decaying asset, and investors risk losing 100% of the premium paid if the underlying asset s price is above the strike price of the put option. Straddle or Strangle. The seller of a straddle or strangle is exposed to increases in the underlying asset s price above the call strike and declines in the underlying asset s price below the put strike. Since exposure on the upside is theoretically unlimited, investors who also own the underlying asset would have limited losses should the underlying asset rally. Covered writers are exposed to declines in the underlying asset position as well as any additional exposure should the underlying asset decline below the strike price of the put option. Having sold a covered call option, the investor gives up all appreciation in the underlying asset above the strike price of the call option. Put Spread. The buyer of a put spread risks losing 100% of the premium paid. The buyer of higher-ratio put spread has unlimited downside below the lower strike (down to zero), dependent on the number of lower-struck puts sold. The maximum gain is limited to the spread between the two put strikes, when the underlying is at the lower strike. Investors who own the underlying asset will have downside protection between the higher-strike put and the lower-strike put. However, should the underlying asset s price fall below the strike price of the lower-strike put, investors regain exposure to the underlying asset, and this exposure is multiplied by the number of puts sold. Call Spread. The buyer risks losing 100% of the premium paid. The gain is limited to the spread between the two strike prices. The seller of a call spread risks losing an amount equal to the spread between the two call strikes less the net premium received. By selling a covered call spread, the investor remains exposed to the downside of the underlying asset and gives up the spread between the two call strikes should the underlying asset rally. Butterfly Spread. A butterfly spread consists of two spreads established simultaneously one a bull spread and the other a bear spread. The resulting position is neutral, that is, the investor will profit if the underlying is stable. Butterfly spreads are established at a net debit. The maximum profit will occur at the middle strike price; the maximum loss is the net debit. Pricing Is Illustrative Only: Prices quoted in the above trade ideas are our estimate of current market levels, and are not indicative trading levels 17
19 Disclosures Disclosures This report is a product of the research department's Global Equity Derivatives and Quantitative Strategy group. Views expressed may differ from the views of the research analysts covering stocks or sectors mentioned in this report. Structured securities, options, futures and other derivatives are complex instruments, may involve a high degree of risk, and may be appropriate investments only for sophisticated investors who are capable of understanding and assuming the risks involved. Because of the importance of tax considerations to many option transactions, the investor considering options should consult with his/her tax advisor as to how taxes affect the outcome of contemplated option transactions. Analyst Certification: The research analyst(s) denoted by an AC on the cover of this report certifies (or, where multiple research analysts are primarily responsible for this report, the research analyst denoted by an AC on the cover or within the document individually certifies, with respect to each security or issuer that the research analyst covers in this research) that: (1) all of the views expressed in this report accurately reflect his or her personal views about any and all of the subject securities or issuers; and (2) no part of any of the research analyst's compensation was, is, or will be directly or indirectly related to the specific recommendations or views expressed by the research analyst(s) in this report. For all Korea-based research analysts listed on the front cover, they also certify, as per KOFIA requirements, that their analysis was made in good faith and that the views reflect their own opinion, without undue influence or intervention. Important Disclosures Company-Specific Disclosures: Important disclosures, including price charts and credit opinion history tables, are available for compendium reports and all J.P. Morgan covered companies by visiting calling , or ing [email protected] with your request. J.P. Morgan s Strategy, Technical, and Quantitative Research teams may screen companies not covered by J.P. Morgan. For important disclosures for these companies, please call or [email protected]. Explanation of Equity Research Ratings, Designations and Analyst(s) Coverage Universe: J.P. Morgan uses the following rating system: Overweight [Over the next six to twelve months, we expect this stock will outperform the average total return of the stocks in the analyst s (or the analyst s team s) coverage universe.] Neutral [Over the next six to twelve months, we expect this stock will perform in line with the average total return of the stocks in the analyst s (or the analyst s team s) coverage universe.] Underweight [Over the next six to twelve months, we expect this stock will underperform the average total return of the stocks in the analyst s (or the analyst s team s) coverage universe.] Not Rated (NR): J.P. Morgan has removed the rating and, if applicable, the price target, for this stock because of either a lack of a sufficient fundamental basis or for legal, regulatory or policy reasons. The previous rating and, if applicable, the price target, no longer should be relied upon. An NR designation is not a recommendation or a rating. In our Asia (ex-australia) and U.K. small- and mid-cap equity research, each stock s expected total return is compared to the expected total return of a benchmark country market index, not to those analysts coverage universe. If it does not appear in the Important Disclosures section of this report, the certifying analyst s coverage universe can be found on J.P. Morgan s research website, J.P. Morgan Equity Research Ratings Distribution, as of January 1, 2015 Overweight Neutral Underweight (buy) (hold) (sell) J.P. Morgan Global Equity Research Coverage 45% 43% 12% IB clients* 56% 49% 33% JPMS Equity Research Coverage 45% 48% 7% IB clients* 75% 67% 52% *Percentage of investment banking clients in each rating category. For purposes only of FINRA/NYSE ratings distribution rules, our Overweight rating falls into a buy rating category; our Neutral rating falls into a hold rating category; and our Underweight rating falls into a sell rating category. Please note that stocks with an NR designation are not included in the table above. 18
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