Portfolio and Risk Strategy (PARS) FX Impact on Equity Alpha. 03 September September 2010

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1 03 September 2010 Portfolio and Risk Strategy (PARS) John Bird Portfolio and Risk Strategist MLPF&S John Hopkinson Portfolio and Risk Strategist MLPF&S FX Impact on Equity Alpha Kevin Zhu Portfolio and Risk Strategist MLPF&S Trading ideas and investment strategies discussed herein may give rise to significant risk and are not suitable for all investors. Investors should have experience in FX markets and the financial resources to absorb any losses arising from applying these ideas or strategies. Merrill Lynch 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. Refer to important disclosures on page

2 Global Equity and FX Returns Have Four Components Global Equities A global equity portfolio has exposure to FX risk on the stocks denominated in foreign currencies. Favourable currency movements can amplify gains and mitigate losses, while unfavourable movements can dampen gains and worsen losses. Our FX hedging strategy objective is to manage the trade-off in outcomes. Scenarios for a Long Equity Position Currency Price Unclear Outcome if Unhedged Bad Outcome if Unhedged Good Outcome if unhedged Unclear Outcome if Unhedged Source: BofA Merrill Lynch Global Research Equity Price 2

3 FX & Equity Correlation is the Most Critical Component for Hedging Correlations Generally equity indices exhibit positive correlation with their currencies. This means that the currency tends to strengthen or weaken at the same time as the equity. However, the relationship changes over time reflecting regimes in markets. In Japan, Nikkei/JPY correlation is generally negative due to its status as a funding currency though quite opposite in the rest of the region with the exception of Switzerland (CHF). Correlation of Equity Index and Currency* AUD 43.51% GBP 35.91% EUR 56.46% NZD 32.92% JPY -7.79% CHF % CAD 66.87% NOK 67.80% SEK BRL MXN KRW INR RUB 70.70% 58.28% 63.56% 35.74% 58.12% 68.56% Source: BofA Merrill Lynch Global Research * 1m correlation of daily returns 3

4 Example: Australian $ vs. ASX 200 Positive Correlation A long exposure in a foreign equity has the greatest volatility when the currency and equity are positively correlated. In this case equity gains and losses are likely to be increased by the currency. An FX strategy with low or negative correlation to the equity returns will increase returns without increasing volatility adversely. Most likely region Currency Price Equity Price Source: BofA Merrill Lynch Global Research 4

5 Example: Japanese vs. Nikkei 225 Negative Correlation A long exposure in a foreign equity has the least volatility when the currency and equity are negatively correlated. In this case equity gains and losses are likely to be reduced by the currency. Introducing some optionality into FX hedges can help to manage this trade-off. Most likely region Currency Price Equity Price Source: BofA Merrill Lynch Global Research 5

6 Hedging Reduces Volatility Volatility Statistics The volatility of monthly returns for the ASX 200 index since 1999 is around 22.8%. The figure of 22.8% can be broken down as an equity volatility of 13.4%, combined with a currency volatility of 13.2%, with a correlation between the two of around 48%. Hedging the currency risk in the portfolio reduces the volatility to the pure equity number of 13.4%. The overall volatility can be broken down into the equity and currency components using a triangle formula. Source: BofA Merrill Lynch Global Research 6

7 FX Alpha Strategies Interest rate differentials, momentum, and PPP. FX Alpha strategies can be classified into three types: Momentum, or trend, strategies identify medium term trends, within longer term cycles. Carry strategies look to earn interest rate differentials. Value is akin to Purchasing Power Parity Valuation. All have positive expected return BUT rolling correlation affects weighting. The efficient frontier incorporating different FX weights is significantly improved. Systematic FX strategies and the efficient frontier Source: BofA Merrill Lynch Global Research 7

8 The Right FX Hedge Percentage Carry Cost versus Volatility Reduction The reduction in volatility achieved by hedging FX may come at the cost of reduced returns due to adverse FX carry. The optimal hedge percentage can be determined by balancing carry cost versus volatility. We can maximise compounded returns by hedging the currency beta of the equity minus the carry cost divided by the currency variance 1. Intuitively, we hedge more for high currency beta equities, and we adjust our hedge amount lower when carry is against us. However, if the currency is expected to be volatile, our adjustment for the carry cost is less, so we hedge more. If carry is in favor of the hedger, we adjust our hedge higher, hedging more when the currency is less volatile to take advantage of the extra return. 1. Refer to PARS: Risk Management Advisor: The impact of currency correlation on asset returns, published 8 th July 2010 for more details. 8

9 Example: MSCI EAFE Portfolio Example portfolio We show an example of an international equity portfolio based on MSCI EAFE with the following country weightings as of 8/31/2010. EUR 30.65% JPY 22.38% AUD 8.22% GBP 21.73% We construct currency hedging strategies assuming the above weightings for history back to We apply the systematic hedge strategy using 1-month carry, 3-month realized volatility for the equity index, 3-month implied volatility for the currencies, and 3-month realized correlations. A hedge cap of 75% of total notional is used for the systematic optimal hedge strategy. (Hedges are floored at 0%.) This is compared to a fully-hedged case where hedges are assumed to match the region/country weightings above. The remaining 17% of currency exposures not represented by the above weighting is assumed to be unhedged for both our systematic and fully-hedged strategies. We assume use of 1-month forwards as the hedge vehicle with monthly rebalancing. 9

10 Improved Total Returns MSCI EAFE Portfolio The fully-hedged strategy reduces volatility and maximum drawdowns but also hurts average returns as well Performance of MSCI EAFE with Systematic Hedging Systematic hedging using our standard strategy can add significant value to portfolio return, risk, and maximum drawdowns. It outperforms the fully-hedged strategy by allocating hedges intelligently with respect to carry, volatility and correlations Dec-98 Dec-00 Dec-02 Dec-04 Dec-06 Dec-08 Unhedged Return Systematic Hedge Full Hedge Index Performance since January 1999 Unhedged Full Hedge Systematic Hedge Return 7.1% 6.7% 11.0% Volatility 22.5% 20.1% 19.0% Sharpe Ratio Max Drawdown -68.5% -63.7% -55.3% Source: BofA Merrill Lynch Global Research, Bloomberg 70% 60% 50% 40% 30% 20% 10% 0% Average Hedge Pct By Currency EURUSD AUDUSD JPYUSD GBPUSD Systematic hedge 10

11 Carry and Correlations MSCI EAFE Portfolio 100% 3-Month Currency Correlations with MSCI EAFE Among the four currencies we focus on in this example, with the exception of JPY, the currencies tend to exhibit low to positive correlation with the equity portfolio over time, rarely crossing significantly into negative territory. For these currencies, hedging the exposure is expected to significantly offset risk. However, the cost of carry also plays a factor in an optimal hedge decision. Historically, JPY has seen episodes (including the current one) of strong negative correlation to risky assets such as equities. A negative correlation would make the inherent JPY exposure, embedded from Japanese equities, a natural offset to equity returns. However, the beneficial carry is attractive to a JPY/USD hedger. 80% 60% 40% 20% 0% -20% -40% -60% Mar-99 Mar-01 Mar-03 Mar-05 Mar-07 Mar-09 Average Carry of Hedge Correlation to Equity Portfolio Average Hedge Percentage EURUSD AUDUSD JPYUSD GBPUSD EURUSD -0.39% 32.29% 46.67% Source: BofA Merrill Lynch Global Research, Bloomberg Currency Characteristics AUDUSD 2.13% 59.35% 21.17% JPYUSD -3.14% 10.63% 61.94% GBPUSD 1.04% 29.46% 26.66% 11

12 Hedging Tail Risk Participating Forwards In the previous slides, we focused on a systematic framework for hedging an international equity portfolio. The strategy is optimized to improve risk-adjusted return. However, it does not provide downside protection on currency positions which is often a goal for risk managers. As an alternative to a return-seeking portfolio strategy, we recommend a participating forward tailrisk hedging strategy for investors wishing to: Floor the downside of the currency exposure Reduce drawdowns of the net equity portfolio A Participating Forward is like a regular FX forward contract but has a small purchased option embedded in it. It is comprised of a put and call struck at the same strike, but with different notional amounts. The combination can be structured to vary upside and downside participation. Participating forwards are commonly priced with zero premium. 12

13 Hedging Tail Risk Participating Forwards Example Payout Zero Premium Strike Forward Rate Buy USD 10 mm equivalent of MSCI Australia at spot of With a Participating Forward: Buy a 5% OTMF 1M USD call / AUD put with notional amount USD 10 mm at strike Sell at 5% ITMF 1M USD put / AUD call with notional amount USD 548,864 at strike Zero premium This strategy gives the hedger the protection against a strong AUD depreciation / USD appreciation scenario that would negatively impact the underlying position. The investor would have 94.5% participation in favorable currency moves. Assuming an annualized volatility of 15.4%, there is a 13.0% probability that spot will be below strike. An investor of MSCI EAFE would limit its AUD exposure to a downside of 41 bp (8.22% AUD allocation times 5% maximum downside of PF) 15.4% Probability Source: BofA Merrill Lynch Global Research AUDUSD Rate Participating Forward Standard Forward Probability Distribution 13

14 Hedging Tail Risk Participating Forwards Example The net result of a participating forward is shown in the graph to the right along with the standard forward and unhedged case. The net result of the participating forward hedge shows that the downside is floored in exchange for a reduction in participation of the upside. The size of the participation reduction is proportional to the size of the downside. This tail hedging strategy can limit the size of unfavorable currency moves. However, in order for this strategy to limit the drawdowns of the international equity portfolio, the hedged currency must have positive correlation with the underlying equity. Accordingly, this strategy is particularly effective for high-yielding currencies like AUD. Net Result Zero Premium Strike Forward Rate Source: BofA Merrill Lynch Global Research Unhedged Participating Forward AUDUSD Rate Standard Forward 14

15 Downside PF Systematic Hedge Historical Results Using the downside participating forward strategy in a systematic framework on currencies with a strong correlation to equities can reduce net portfolio drawdowns without adversely impacting returns and volatility Performance of MSCI Australia with AUD Hedging We use a similar methodology to our original systematic strategy for determining the moneyness of participating forward hedges over history for AUD and MSCI Australia Dec-98 Dec-00 Dec-02 Dec-04 Dec-06 Dec-08 Unhedged Systematic Hedge Downside PF Hedge In this case, we note that the PF hedge strategy adds value over the original systematic hedge strategy. Returns are not significantly impacted whereas volatility and drawdowns are reduced. Average Return Volatility SR Max Drawdown Skewness Unhedged 7.13% 22.46% % Systematic Hedge 7.89% 18.72% % Downside PF Hedge 7.97% 17.21% % Kurtosis Source: BofA Merrill Lynch Global Research, Bloomberg 15

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