7 Strategies Combined  Back Testing Results
Below is given an optimal portfolio construction based on 7 seven strategies (FXQ, FXI, FXB, FXC, VT, VA and VO) back testing data. For actual multi strategy trading results, please see MSReal (in real trading before November 2015 former versions of these strategies were used).
I. MODERN PORTFOLIO THEORY  SHARPE RATIO MAXIMIZATION
Riskadjusted returns (Sharpe Ratio) are significantly improved by strategy diversification, i.e. combining the FXQ, FXI, FXB, FXC, VT, VA and VO.
According to the Modern Portfolio Theory (MPT), by combining trading strategies in a multistrategy portfolio, better returns can be achieved for the given risk (or, the same return can be achieved at lower risk).
The portfolio on the efficient frontier with the highest Sharpe Ratio is known as the Tangent (Market) Portfolio (see the dark blue colored square in above diagram), or sometimes the superefficient portfolio; it is the tangencyportfolio in the above diagram. The optimal (market) portfolio would have the following strategy allocation: FX Quant 11 (30%), FXIA (0%), FX Basket Quant (0%), FXC (30%), V1 (20%), V2 (20%), V4 (0%). However, given the excellent performance of all standalone strategies, we decided to use the equally weighted portfolio composition (14.29% each strategy). By trading equally weighted portfolio, we also avoid problems with overoptimization (curvefitting).
When the market portfolio is combined with the riskfree asset, the result is the Capital Market Line (CML). All points along the CML have superior riskreturn profiles to any portfolio on the efficient frontier. Just the special case of the market portfolio with zero cash weighting is on the efficient frontier. Additions of cash (riskfree asset) or leverage (cash lending) in combination with the market portfolio are on the Capital Market Line. All of these portfolios represent the highest possible Sharpe Ratio.
The Selected Portfolio (the red colored square in the above diagram) is overleveraged by 20%, above the nonleveraged equally weighted portfolio (not shown on the chart). The end result is that the combined portfolio has a higher Sharpe Ratio (better riskadjusted return) than Sharpe Ratio of any individual strategie.
To learn more on MPT, read this excellent Introduction to Investment Theory by William N. Goetzmann of Yale School of Management.
II. RATES OF RETURN (ROR) AND VAMI OF DIVESRIFIED PORTFOLIO (BACK TESTING RESULTS)
Below are given the hypothetical composite equity (VAMI) curves and ROR distributions of the FX Quant 11, FX Index Arb, FX Basket Quant, FXC, V1, V2 and V4 programs combined. They are solely given as an illustration of trading program combined performance.
In order not to fall into the trap of overoptimization (by selecting the optimal portfolio, according to the MPT), we selected an equally weighted strategy portfolio (14.286% each strategy). Also, the equally weighted portfolio is least sensitive to portfolio composition selection. To take advantage of diversification and decreased drawdowns, the combined strategy will trade at 20% increased leverage.
Fig. 1  Combined Portfolio  Monthly VAMI (16.67% each of the 7 strategies, 20% overleveraged)
Fig. 2  Combined Portfolio  Monthly RORs (14.29% each of the 7 strategies, 20% overleveraged)
Fig. 3  Combined Portfolio  Monthly ROR Distribution (14.29% each of the 7 strategies, 20% overleveraged)
III. PERFORMANCE STATISTICS (BACK TESTING RESULTS, 7 STRATEGIES, BEFORE PERFORMANCE FEES)


Conclusion. Although individual/component trading programs have very good performance, combined trading further improves the riskadjusted returns and maximizes the Sharpe Ratio.
Hypothetical Composite Performance Disclaimer
ONE OF THE LIMITATIONS OF A HYPOTHETICAL COMPOSITE PERFORMANCE RECORD IS THAT DECISIONS RELATING TO THE SELECTION OF TRADING ADVISORS AND THE ALLOCATION OF ASSETS AMONG THOSE TRADING ADVISORS WERE MADE WITH THE BENEFIT OF HINDSIGHT BASED UPON THE HISTORICAL RATES OF RETURN OF THE SELECTED TRADING ADVISORS. THEREFORE, COMPOSITE PERFORMANCE RECORDS INVARIABLY SHOW POSITIVE RATES OF RETURN. ANOTHER INHERENT LIMITATION ON THESE RESULTS IS THAT THE ALLOCATION DECISIONS REFLECTED IN THE PERFORMANCE RECORDS WERE NOT MADE UNDER ACTUAL MARKET CONDITIONS AND, THEREFORE, CANNOT COMPLETELY ACCOUNT FOR THE IMPACT OF FINANCIAL RISK IN ACTUAL TRADING. FURTHERMORE, THE COMPOSITE PERFORMANCE RECORD MAY BE DISTORTED BECAUSE THE ALLOCATION OF ASSETS CHANGES FROM TIME TO TIME AND THESE ADJUSTMENTS ARE NOT REFLECTED IN THE COMPOSITE.
Composite Performance Disclaimer
THIS COMPOSITE PERFORMANCE REPORT IS HYPOTHETICAL AND THESE TRADING ADVISORS HAVE NOT TRADED TOGETHER IN THE MANNER SHOWN IN THE COMPOSITE. HYPOTHETICAL PERFORMANCE RESULTS HAVE MANY INHERENT LIMITATIONS, SOME OF WHICH ARE DESCRIBED BELOW. NO REPRESENTATION IS BEING MADE THAT ANY MULTIADVISOR MANAGED ACCOUNT OR POOL WILL OR IS LIKELY TO ACHIEVE A COMPOSITE PERFORMANCE RECORD SIMILAR TO THAT SHOWN. IN FACT, THERE ARE FREQUENTLY SHARP DIFFERENCES BETWEEN A HYPOTHETICAL COMPOSITE PERFORMANCE RECORD AND THE ACTUAL RECORD SUBSEQUENTLY ACHIEVED.
To see actual trading results of this multistrategy portfolio (which started live trading in December 2015), please visit the MSReal page.