share_log

Beyond the Efficient Frontier With SynthEquity - Using Call Options to Modernize MPT

Beyond the Efficient Frontier With SynthEquity - Using Call Options to Modernize MPT

使用看漲期權現代化MPT,走出有效前沿。
CBOE洞見 ·  07/02  · 研報

Guest Author: Alexander Flecker, Head of Sales and Marketing, Measured Risk Portfolios

作者介紹:Alexander Flecker,銷售與市場總監,測量風險投資組合

"A good portfolio is more than a long list of good stocks and bonds. It is a balanced whole, providing the investor with protections and opportunities with respect to a wide range of contingencies." - Harry Markowitz

“一個好的投資組合不僅是一份好的股票和債券清單,還是一個平衡的整體,爲投資者提供對廣泛情況的保護和機會。”—哈利·馬科維茨

Since Harry Markowitz introduced the concept of the Efficient Frontier in his seminal 1952 paper "Portfolio Selection," Modern Portfolio Theory (MPT) created a rational and scientifically grounded way to construct portfolios for investors with varying risk tolerances. MPT advocates for diversification to optimize the risk-return trade-off. The theory suggests that for a given level of risk, there is an optimal portfolio allocation that maximizes expected return, and this optimal portfolio lies on the efficient frontier.

自從哈利·馬科維茨在他1952年的重要論文《組合選擇》中引入了“有效前沿”的概念以來,現代投資組合理論(MPT)爲具有不同風險承受能力的投資者構建投資組合提供了一種理性和科學的方式。MPT主張通過分散投資來優化風險回報的權衡。該理論表明,在給定風險水平下,有一種最優的投資組合配置,最大化預期回報,而這種最優的投資組合位於有效前沿上。“有效前沿”馬科維茨的發現與财富管理行業的其他革命性發展相吻合,即共同基金的增長。在1952年,所有共同基金資產的總管理資產(AUM)爲39.3億美元。到1990年,馬科維茨,夏普和米勒共同獲得諾貝爾經濟學獎,所有共同基金資產已經增長到超過1萬億美元,增長了大約25000%。投資行業採用共同基金的採用,使得更有效地訪問廣泛分散的投資組合成爲可能,從而降低了非系統性風險,並遵守MPT的發現。

Markowitz's findings coincided with other revolutionary developments in the wealth management industry, namely the growth of Mutual Funds. In 1952, the total AUM of all mutual fund assets was $3.93 billion. By the time Markowitz, Sharpe, and Miller were Co-Winners of the Nobel Prize in Economics for evaluating stock market risk and reward in 1990[1], the mutual fund industry had grown to over 1 trillion dollars in assets under management, ~25,000% growth [2]. The investment industry's adoption of mutual funds allowed for a more efficient means of accessing broadly diversified portfolios that reduced unsystematic risks and adhered to MPT findings.

依據下圖的數學繪製,使用SPDR S&P 500 Trust ETF(SPY)和iShares Core US Aggregate bond ETF(AGG)的兩項證券組合,將60%的股票和40%的債券廣泛地分配以獲得增長和安全,這個配置幾乎落在了有效前沿可能獲得給定風險水平的收益的中間位置。因此,'60/40'在MPT的背景下受到了廣泛的歡迎。[1]來源:PortfolioVisulizer.com:60%SDPR S&P 500 Trust(SPY)| 40%iShares Core US Aggregate Bond ETF(AGG):有效前沿[2]根據人類經濟學,哈利·馬科維茨

Many investors, generally speaking, have a moderate risk tolerance, defined as being willing to accept modest risk to seek higher long-term returns [3]. As mathematically plotted below, using a two-security portfolio of the SPDR S&P 500 Trust ETF (SPY) and iShares Core US Aggregate bond ETF (AGG), a broadly diversified allocation of 60% equities for growth and 40% bonds for safety falls very nearly in the middle of the efficient frontiers' possible returns for a given level of risk. Hence, the enduring popularity of the '60/40' within the context of MPT.

許多投資者一般來說具有中等風險承受能力,即願意承受適度風險以尋求更高的長期回報。[3]由YCharts提供,60%的SPY和40%的AGG投資組合具有10年的平均年化回報率爲8.7%,年度回報的標準偏差(季度)爲11.02%。根據MPT和有效前沿設定的期望,60/40的表現基本符合預期,平衡了適度的風險和更高的長期回報。但是,年度內波動性並不像其最近的整年軌跡記錄的那樣適度。

Source: PortfolioVisulizer.com: 60% SDPR S&P 500 Trust (SPY) | 40% iShares Core US Aggregate Bond ETF (AGG): Efficient Frontier

來源:YCharts.com:60%SPY/40%AGG假設組合日曆年回報(2014年01月01日至2024年03月31日)

[1] Britannica.com | Harry Markowitz

Northern Superior宣佈Philibert的maiden NI 43-101採礦約束資源評估中,推斷類別擁有1,708,809盎司黃金和指示類別擁有278,921盎司黃金,在1.10g/t的條件下。此外,Northern Superior's在2023年8月8日發佈的新聞稿中提到此次找到黃金儲量。在過去的20年裏,60%的SPY和40%的AGG投資組合已經有兩次(2020/2022)年內峯值到谷值的回撤,超過了-19%,並且有一次大於-30%的年度內峯值到谷值的回撤(2008)。

[2] Investment Company Institute Fact Book

[2]自70年代採用MPT和'60/40'以來,許多投資者曾經質疑其可行性。

[3] Stifel Nicolaus: Risk Classification Definitions

[3]行業專家可能已經注意到,有大量投資公司建議顧問應該考慮替代方案,或者更加直言不諱地說,'60/40'死了。七十年的採用和慣性,推翻MPT作爲組合建設方法的首選,可能需要比試圖民主化幾個替代資產類別要多得多。

By 2023, the mutual fund industry grew to over 25 trillion dollars in AUM, affording the ability for everyday investors to easily access the risk and reward profile of a broad-based 60/40 by allocating to popular funds, such as the all-in-one 60/40 - VBIAX, The Vanguard Balanced Index Adm., which has a 7-bps expense ratio and $51 billion dollars in AUM.

到2023年,共同基金行業的管理資產已經增長到超過25萬億美元,爲普通投資者提供了輕鬆訪問廣泛的60/40風險和回報配置的能力,例如全包式60/40-VBIAX,豐盛平衡指數管理。具有7個點子的費用率和510億美元的管理資產的-admin。

According to YCharts, the 60% SPY and 40% AGG Portfolio have a 10-year average annualized return of 8.7% and a standard deviation of annual returns (quarterly) of 11.02%. Based on expectations set by MPT and the efficient frontier, the 60/40 has largely performed as advertised, balancing modest risk for higher long-run returns. However, intra-year volatility has not been as modest as its recent calendar-year track record suggests.

根據YCharts,60%SPY和40%AGG投資組合在10年的平均年化回報率爲8.7%,年度回報的標準偏差(季度)爲11.02%。根據MPT和有效前沿設定的期望,60/40的表現基本符合預期,平衡了適度的風險和更高的長期回報。但是,年度內波動性並不像其最近的整年軌跡記錄的那樣適度。

Source: YCharts.com: 60% SPY /40% AGG Hypothetical Portfolio Calendar Year Returns (01/01/2014 - 03/31/2024)

來源:YCharts.com:60%SPY/40%AGG假設組合日曆年回報(2014年01月01日至2024年03月31日)

In the last 20 years, a 60% SPY and 40% AGG portfolio have had two (2020/2022) intra-year peak-to-trough drawdowns that exceeded -19% and one greater than -30% intra-year peak-to-trough drawdown (2008) [4].

在過去的20年裏,60%的SPY和40%的AGG投資組合已經有兩次(2020/2022)年內峯值到谷值的回撤,超過了-19%,並且有一次大於-30%的年度內峯值到谷值的回撤(2008)。密切繼發性IONCM是目前Urology領域最棘手的問題之一,而TLX250-CDx的全球性Phase III臨床研究證實了該檢測工具的高靈敏度和特異性,爲受治患者的有效治療提供了重要依據。.

Since two of the three significant drawdowns for the 60/40 occurred within the last five years, many investors have questioned the approach's viability.

自70年代採用MPT和'60/40'以來,許多投資者曾經質疑其可行性。

Industry pros may have noticed the sheer volume of investment firms suggesting that advisors should consider alternatives or, even more bluntly, that the 60/40 is dead. After seven decades of adoption and inertia, dethroning MPT as the go-to portfolio construction methodology will likely take much more than an attempt to democratize a few alternative asset classes.

行業專家可能已經注意到,有大量投資公司建議顧問應該考慮替代方案,或者更加直言不諱地說,'60/40'死了。七十年的採用和慣性,推翻MPT作爲組合建設方法的首選,可能需要比試圖民主化幾個替代資產類別要多得多。

But that doesn't mean we can't strive to do better.

但這並不意味着我們不能努力做得更好。

According to the market research firm DALBAR, which recently concluded its 30th Annual Quantitative Analysis of Investor Behavior (QAIB) report, the average equity fund investor earned 5.5% less than the S&P 500 in 2023, the third-largest gap in 10 years. The reasons cited were that emotional decisions hurt returns, as investors tend to sell out of investments during downturns and miss out on rebounds.[5] Despite an optimized allocation to balance risk and reward using MPT and the efficient frontier, how many investors gave into loss aversion during the downturns for the 60/40, especially after 2022, and missed out on the rebound since? Likely, many. The number one contributor to Advisor Alpha is helping clients stay invested according to their long-term plans.

根據市場研究公司DALBAR最近完成的第30屆投資者行爲定量分析(QAIB)報告,2023年股票基金投資者的平均收益率比標普500指數低了5.5%,這是10年中第三大差距。報告提到,情緒決策損害了回報,因爲投資者往往在市場下跌期間拋售投資並錯過了反彈。[5]儘管通過使用MPT和有效前沿進行優化配置以平衡風險和回報,但多少投資者在60/40的低迷時期屈服於損失厭惡,特別是在2022年之後,錯過了反彈呢?很可能是許多人。幫助客戶按照他們的長期計劃持續投資是實現顧問Alpha的頭號因素。

At Measured Risk Portfolios, we don't believe 'The 60/40 is dead' per se; however, we believe advisors have better options for pursuing advisor alpha than traditional asset allocation alone.

在衡量風險組合中,我們不相信。“60/40”這個說法是否準確然而,我們認爲,與其僅靠傳統的資產配置來追求顧問Alpha,顧問有更好的選擇。合成Alpha的方法不僅限於傳統的資產配置。

[4] YCharts 60/40 Benchmark Percent off Highs

n。YCharts的60/40基準高度百分比

[5] DALBAR QAIB Report

[5] DALBAR QAIB報告期權擴展有效前沿

Beyond the Efficient Frontier with Options

將期權納入有效前沿是可能的,但很複雜,因此使用較少。期權引入非正態分佈,高度的偏度和非線性的不對稱的風險-回報權衡。Delta、Gamma、Vega、Theta和Rho等術語都是用於度量期權行爲的具體術語,會讓有經驗的顧問和經驗不足的客戶陷於猶豫。然而,當期權被適當地整合到一個投資組合中時,它們不必像有效前沿模型所建議的那樣複雜。相反,它們可以顯著區分投資方案,從風險與預期回報的角度增強顧問和他們的投資者的選擇。

Incorporating options into an efficient frontier is possible but complex, which makes it less utilized. Options introduce non-normal distributions, high degrees of skewness, and a non-linear, asymmetric risk-return trade-off. Terms like Delta, Gamma, Vega, Theta, and Rho are all specific terms used to measure options behavior and lead experienced advisors and inexperienced clients to indecision. However, when options are appropriately integrated into a portfolio, they do not have to be as complex as the efficient frontier model suggests. Instead, they can significantly differentiate investment offerings, enhancing the choices available to advisors and their investors from a risk vs. expected return standpoint.

當看漲期權被整合到投資組合中時,有效前沿可以呈現向上和向外的移動。實質上,有限的下行風險(支付的保險費)與潛在的巨額收益(如果基礎資產升值)相結合,幫助重新定義馬爾科維茨在1950年代引入的傳統風險-回報範例。

When long call options are integrated into a portfolio, the efficient frontier can experience an upward and outward shift. Essentially, the limited downside risk (the premium paid) combined with the potential for substantial gains (if the underlying asset appreciates) helps redefine the traditional risk-return paradigm Markowitz introduced in the 1950s.

這種非線性意味着組合可以在市場下跌之前實現更高的回報,可能提高整體效率,同時克服由於對未來波動性的不確定性而引起的行爲基礎。考慮購買長期看漲期權進行股票投資的投資者與直接購買股票的投資者的風險和回報概況。如下圖所示,對於看漲期權投資者而言,損失被限制在購買期權合約的保險費上,而上限則具有無限的回報潛力。

This non-linearity means the portfolio can achieve higher returns with mathematically known and defined risk before a market decline, potentially enhancing overall efficiency compared to traditional portfolios while overcoming behavioral basis that may be caused by uncertainty about future volatility.

來源:不列顛百科全書公司。通過使用專有的主動管理組合構建方法SynthEquity(合成股票),衡量風險組合使用看漲期權擴展有效前沿並幫助克服常見的行爲偏差。SynthEquity組合旨在嘗試獲得指定指數的無限制長期績效,風險僅爲一小部分。投資組合風險是通過在12個月內將組合的預先定義百分比分配給看漲期權和高短期美國國債進行確定的。衡量風險組合SynthEquity在多個日曆年中都超過了其規定的基準,補充了未限制的上行潛力,同時潛在的損失有一個底部。

Consider the risk and reward profile of investors who purchase long call options for their equity exposure vs. investors who purchase equities directly. As illustrated below, losses are capped at the premium paid to purchase an options contract for the long-call investor, while the upside has unlimited return potential.

在股票資產中,購買看漲期權的投資者與直接購買股票的投資者相比,風險和回報概況如下所示。損失對於看漲期權投資者而言被限制在支付期權合約費用上,而上行潛力具有無限的回報潛力。

Source: Encyclopedia Britannica, Inc.

來源:不列顛百科全書公司。

Make Real Progress with SynthEquity

使用SynthEquity真正取得進展

Measured Risk Portfolios uses call options to expand the efficient frontier and assists in overcoming common behavioral biases using a proprietary actively managed portfolio construction methodology called SynthEquity (Synthetic Equity). SynthEquity portfolios are designed to attempt to capture the uncapped long-run performance of a stated index with a fraction of the risk. Portfolio risk is determined by allocating a predefined percentage of a portfolio in call options over a 12-month period and pairing it with an outsized allocation to short-duration US Treasuries. MRP SynthEquity Portfolios have a demonstrated track record of outperforming its stated benchmark in numerous calendar years. Complementing the uncapped upside potential, there is a floor on potential losses*.

衡量風險組合使用看漲期權擴展有效前沿,幫助克服常見的行爲偏差,使用一種專有的主動管理組合構建方法稱爲SynthEquity(合成股票)。 SynthEquity組合旨在嘗試獲得指定指數的無限制長期績效,風險僅爲一小部分。投資組合風險是通過在12個月內將組合的預先定義百分比分配給看漲期權和高短期美國國債進行確定的。衡量風險組合SynthEquity在多個日曆年中都超過了其規定的基準,補充了未限制的上行潛力,同時潛在的損失有一個底部。

This strategy builds on the efficient frontier concept, attempting to maximize returns for a given level of risk. However, this strategy shifts the efficient frontier due to the asymmetry of the call options contracts used to obtain market exposure for growth.

此策略建立在有效邊界概念的基礎上,旨在嘗試在給定風險水平下最大化收益。然而,由於用於獲得增長市場曝光的看漲期權合同的一面偏態,這種策略會改變有效邊界。

SynthEquity Portfolios have three pre-built risk models: Growth, Core, and Lite:

SynthEquity投資組合具有三種預構建的風險模型:成長、核心和精簡:

Measured Risk Portfolios Growth: ~12.5% Long Duration Call Options | ~87.5% Short Duration Treasuries.

測量風險投資組合成長:~12.5%開多期權| ~87.5%開空國債型債券。

Growth Benchmark:100% ^SPX

成長股基準:100% ^SPX

Measured Risk Portfolios Core: ~10% Long Duration Call Options | ~90% Short Duration Treasuries.

測量風險投資組合核心:~10%開多期權| ~90%開空國債型債券。

Core Blended Benchmark:70% ^SPX / 30% AGG

核心混合基準:70% ^SPX / 30% 債券型

Measured Risk Portfolios Lite: ~7.5% Long Duration Call Options | 92.5% Short Duration Treasuries.

測量風險投資組合精簡:~7.5%開多期權| 92.5%開空國債型債券。

Lite Blended Benchmark: 50% ^SPX | 50% AGG

精簡混合基準:50% ^SPX | 50% 債券型

Source:YCharts.com | Performance period = 01/01/2016-03/31/20204 | MRP SynthEquity is stated Net of Fees. Benchmarks are stated Gross of Fees.

來源:YCharts.com | 表現期間=01/01/2016-03/31/20204 | MRP SynthEquity以淨收益報告。基準以收費費用報告。

Using SynthEquity to Potentially Enhance 60/40 Portfolio Allocations

使用SynthEquity可能增強60/40投資組合配置

Here, we use hypothetical analysis to compare how replacing 60% SPY / 40% AGG allocation components with a pre-built SynthEquity portfolio would have changed an investor's experience from 01/01/2016-03/31/2024. The 60/40 Portfolio will be referred to as the benchmark. Measured Risk Portfolios SynthEquity is stated net of fees, while the benchmark is shown as gross of fees.

在這裏,我們使用假設分析比較用預構建的SynthEquity投資組合替換60% SPY / 40% AGG配置組件會如何改變投資者01/01/2016-03/31/2024的經歷。60/40投資組合將稱爲基準。測量風險投資組合SynthEquity以淨收益報告,基準顯示爲不含費用的收益。風險投資組合測量SynthEquity以淨收益報告,而基準則以不含費用的方式顯示。

Maximizing the '40': Replacing 40% AGG with MRP LITE

最大化“40”:用MRP LITE替換40%的AGG

Source: YCharts|40% of the 100% Hypothetical Allocation to MRP Lite is represented by composite account performance and is stated net of fees. The Remaining 60% is represented by SPY and is gross of fees. The Benchmark 60/40 is stated gross of fess.

來源:YCharts|對於MRP Lite 100%假設配置的40%,由複合帳戶表現表示,以淨收益報告。其餘60%由SPY表示,以不含費用的方式顯示。基準60/40不含費用的收益顯示。

Many advisors field calls from their clients over Nvidia's growth, whether the market is valued fairly, how the election will affect their portfolio, and other such questions. But how often does a client call to ask whether their portfolio's bond allocation is maximized for alpha?

許多顧問會接到客戶關於英偉達增長、市場是否公平定價、選舉將如何影響其投資組合等問題。但是客戶問詢其投資組合的債券分配是否最大化收益的次數有多少呢?

Introducing MRP SynthEquity Lite as a bond replacement in the 60/40 benchmark allows an advisor to make their bond allocation worth talking about while substantially improving the historical return of the portfolio.

將測量風險投資組合SynthEquity Lite作爲債券替代品引入60/40基準可使顧問使其債券分配值得討論,同時大幅提高投資組合的歷史回報。通過用測量風險投資組合SynthEquity Lite替換40%AGG的方式,投資組合配置大約將爲:60% SPY

By replacing a 40% allocation to AGG with Measured Risk Portfolios SynthEquity Lite, the portfolio allocation would be approximately:

通過將40%的資產配置替換爲測量風險投資組合SynthEquity Lite,投資組合的配置大致爲:

  • 60% SPY
  • 3% Long Duration Call Options on the S&P 500
  • 37% Short Duration US Treasuries
  • 60% SPY
  • 標普500指數3%看漲期權
  • 美國國債短期期權佔37%

A 3% net change in the overall portfolio allocation from fixed income to actively managed long-duration call options would have resulted in similar max drawdowns as the benchmark; however, it would have added 57.6% greater returns over the observed period. This strategy would have effectively pushed the portfolio's expected return higher without significantly changing the overall risk characteristics measured by peak-to-trough drawdowns.

將固收類資產調整爲經營期權開多策略,佔總投資組合淨流動資產的3%,與基準組合相比最大回撤相仿,期間回報率增加了57.6%。該策略可以有效地提高投資組合的預期收益,而不會顯著改變以谷底來衡量的整體風險特徵。

Risk Reduction: Replacing the '60' Measured Risk SynthEquity GROWTH

Risk Reduction: Replacing the '60' Measured Risk SynthEquity 創業板

Source: YCharts|60% of the 100% Hypothetical Allocation to MRP Growth is represented by composite account performance and is stated net of fees. The Remaining 40% is represented by AGG and is gross of fees. The Benchmark 60/40 is stated gross of fess.

來源:YCharts | MRP Growth的100%假設配置中,60%是綜合帳戶業績,已扣除費用。「剩餘的40%」有AGG代表,未扣除費用。 基準配置 60/40 的表現已扣除基金管理費。

By subbing out SPY for Measured Risk Growth as the 60% allocation to equities within a 60/40 portfolio, the historical upside is slightly improved, and drawdowns are far less severe due to the non-linear risk vs. reward profile of call options.

在60/40投資組合內以Measured Risk Growth替代SPY作爲60%的股票分配,歷史上漲空間略有改進,並且由於期權的非線性風險與回報特徵,下跌幅度要小得多。

If the 60% allocation to SPY were replaced with a 60% allocation to Measured Risk SynthEquity Growth Sleeve, the total portfolio allocation would be:

如果將60%的SPY投資轉換爲Measured Risk SynthEquity Growth,總投資組合配置將是:

51-53% short-duration treasuries

51-53%短期國債投資

40% AGG

40% AGG

7-9% long-duration call options on the S&P 500.

S&P 500指數7-9%的長期看漲期權

Should the equity market experience a severe drawdown, such as in 2020, the total portfolio will automatically move into an increasingly conservative allocation with a greater fixed income weight as the call options lose value. The defined risk nature of long call options allows investors to position their portfolio for growth while remaining mindful of potential needs for capital preservation.

如果股票市場出現類似2020年的嚴重下跌情況,投資組合將自動進入逐漸保守的配置,加大固收類投資的權重,因爲看漲期權價值下降。期權的定義風險性質使得投資人即可在爲尋求資本保值的潛在需求留有餘地,又能讓他們將投資組合調整爲增長型。

Replacement of the 60/40 with MRP CORE

用MRP CORE代替60/40

Source: YCharts|MRP Core is represented by composite account performance and is stated net of fees. The Benchmark 60/40 is stated gross of fess.

來源:YCharts | MRP Core是按綜合帳戶表現表示,已扣除費用。 基準配置60/40已扣除基金管理費。

MRP Core is designed to capture the long-term returns of a 70% SPY and 30% AGG portfolio and does so by allocating ~10% to long-duration call options and ~90% to short-duration treasuries.

MRP Core旨在通過將10%左右的資金配置到長期看漲期權和90%左右的資金配置到短期國債來捕捉70%SPY和30%AGG投資組合的長期回報。

Given the double-digit decline in AGG, greater than -18 % in 2022, paired with more recent concerns about equity market valuations, ETF concentration to big tech, geopolitical uncertainty, etc., investors may find replacing the entire 60/40 portfolio allocation with MRP Core an attractive risk management solution. Over the observed period, MRP Core has a max drawdown of -13.11% net of fees, while 60/40 has a max drawdown of -20.88%. We must also remember that the 60/40 losses are only as bad as they were and don't represent a limit. Nothing stops the losses from going to -22%, -28%, or even -35%.

考慮到AGG的雙位數下跌,2022年下跌高達-18%且涉及到ETF集中投資,科技巨頭,地緣政治不確定性等方面的近期問題,投資人可能會發現將整項60/40投資組合全部替換爲MRP Core對於風險管理來說是一個極有吸引力的選擇。MRP Core的最大回撤在扣除費用後爲-13.11%,而60/40的最大回撤爲-20.88%。我們還必須記住,60/40的虧損只會停留在它們所達到的水平,並不代表有一個極限,而且是可以繼續虧損到-22%、-28%甚至-35%等等的情況。

Historically, the key difference between the risk profile of MRP Core and the benchmark is that, unless short-duration Treasuries were to suffer permanent impairment to its principal, thanks to the non-linear risk vs. reward profile of buying long calls, MRP Core delivered its maximum possible drawdown for the 2022 calendar year due to equity volatility. In contrast, the benchmark could have potentially lost significantly more value.

歷史表明,MRP Core和基準之間的風險特徵主要區別在於,除非短期國債遭受了永久性的本金損失,否則由於買入看漲期權的非線性風險和回報特徵,MRP Core爲2022年的最大可能回撤做出了最大努力。相比之下,基準可能會損失更多的價值。

Should investors have allocated 100% of their 60/40 benchmark portfolio to MRP Core over the observable period, the investor would have enjoyed over 25% greater total returns and a greatly improved max drawdown.

如果投資人在觀察期內將其100%的60/40基準投資組合分配給MRP Core,那麼其投資人將享受到超過25%的總回報率和大幅改進的最大回撤。

Maximizing Risk-Adjusted Returns: Complete Replacement with MRP Growth

風險調整收益最大化: 完全用MRP Growth替換

Source: YChartsMRP Growth is represented by composite account performance and is stated net of fees. The Benchmark 60/40 is stated gross of fess.Since 01/01/2016 – 03/31/2024, Measured Risk Portfolios Growth has outperformed the S&P 500 on a total return basis.

來源:YCharts MRP Growth 是按綜合帳戶表現表示,已扣除費用。 基準配置 60/40 已扣除基金管理費。(自2016年1月1日至2024年3月31日) 通過投資於衍生品,測量風險投資組合Growth獲得了總回報。

MRP Growth affords investors the ability to access the expected returns of the far right of the efficient frontier, which is a 100% allocation to equities, with a lower historical max peak-to-trough drawdown when compared to even a highly conservative portfolio of 75% AGG and 25% SPY. While MRP growth is more volatile than hypothetical 75% bonds and 25% equities, the expected return is significantly higher, made possible through the strategic use of call options.

MRP Growth讓投資者能夠以相對較低的歷史最大谷底回撤來獲取所謂有效前沿最右側(也就是100%的股票配置)的預期回報。儘管MRP Growth比假設的75%債券和25%股票的保守投資組合更加波動,但是預期的收益要高得多,這得益於策略性地運用看漲期權。

Compared to the 60/40 illustrated above, Measured Risk Portfolio growth nearly doubled the total return since 2016, with lower peak-to-trough max drawdowns. Assuming that the short-duration treasury allocation will mature at full face value during market downturns, investors are afforded peace of mind, knowing there is a floor on potential losses* while the upside is potentially greater than that of a 100% allocation to SPY.

與上述60/40相比,測量風險投資組合自2016年以來增長近一倍,最大低谷下行更低。假設短期國債配置在市場下跌期間將以滿面值到期,投資者能獲得安心,知道潛在虧損有底部,而上漲潛力可能比100%配置到SPY更大。

Conclusion

結論

SynthEquity redefines portfolio management by integrating call options to expand the efficient frontier upwards and outwards, enabling the pursuit of higher returns with a managed and clearly defined risk profile. This strategic blend of Treasury stability and equity growth potential addresses common investor biases during market volatility, offering advisors a compelling solution to deliver enhanced value with more predictable outcomes. Measured Risk Portfolios believes integrating call options as part of asset allocations modernizes traditional investment philosophies for today's dynamic markets.

SynthEquity通過集成看漲期權將有效邊界向上和向外擴展來重新定義投資組合管理,實現了以可管理的、清晰定義的風險配置追求更高回報的目標。這種國債穩定和股票增長潛力的策略混合解決了市場波動中普遍的投資者偏見,爲顧問提供了一種令人信服的解決方案,可以提供更可預測的結果。測量風險投資組合認爲,將看漲期權作爲資產配置的一部分,可以現代化傳統投資理念以適應當今動態市場。

About the Author

關於作者

Alexander has a Bachelor of Science in Economics and a decade of experience in Financial Services. He has worked with HNW investors at Morgan Stanley and consulted RIAs and IARs as a Managing Director of Sales at a boutique Investment Advisor/Fund Distributor. He is now the Head of Sales and Marketing for Measured Risk Portfolios. In his career, Alexander has raised over $500 million in capital for fund and SMA managers across various asset classes and strategy types.

亞歷山大擁有經濟學學士學位,有十年金融服務經驗。他曾在摩根士丹利與高淨值投資者合作,並作爲投資顧問/基金分銷商精品公司的銷售總監向RIA和IAR提供諮詢。他現在是測量風險投資組合的銷售和營銷總監。在他的職業生涯中,亞歷山大爲各種資產類別和策略類型的基金和SMA管理人籌集了超過5億美元的資本。

He is a Certified Financial Planner issued by the CFP Board, taught in conjunction with NYU School of Professional Studies, and a Certified Investment Management Analyst issued through the Investment and Wealth Institute, taught in conjunction with Yale University.

他是由CFP董事會頒發的註冊金融規劃師,與NYU專業學院合作教授,以及由投資和財富研究所頒發的註冊投資管理分析師,與耶魯大學合作教授。

For more information, email [email protected].

欲了解更多信息,請發送電子郵件至[email protected]。

This article is part of Cboe's Guest Author Series, where firms and individuals share their insights, strategies and ideas with the broader Cboe community. Interested in contributing? Email [email protected] or contact your Cboe representative to learn more.

本文是Cboe的客座作者系列文章的一部分,在該系列文章中,公司和個人將他們的見解、策略和想法與更廣泛的Cboe社區分享。有意投稿? 請發送電子郵件至[email protected]或聯繫您的Cboe代表以了解更多信息。

Disclaimer: There are important risks associated with transacting in any of the Cboe Company products or any digital assets discussed here. Before engaging in any transactions in those products or digital assets, it is important for market participants to carefully review the disclosures and disclaimers contained at: . These products and digital assets are complex and are suitable only for sophisticated market participants. These products involve the risk of loss, which can be substantial and, depending on the type of product, can exceed the amount of money deposited in establishing the position. Market participants should put at risk only funds that they can afford to lose without affecting their lifestyle. The views of any third-party speakers or third-party materials are their own and do not necessarily represent the views of any Cboe Company. That content should not be construed as an endorsement or an indication by Cboe of the value of any non-Cboe financial product or service described.

免責聲明:在任何Cboe公司產品或此處討論的任何數字資產中進行交易都存在重要風險。在參與這些產品或數字資產的任何交易之前,市場參與者有必要仔細審查所含的披露和免責聲明。這些產品和數字資產非常複雜,適用於精細的市場參與者。這些產品涉及風險,這些風險可能非常大,並且根據產品類型的不同,可能超過建立頭寸時存入的金額。市場參與者應該僅將他們能夠承受不影響其生活方式的資金置於風險之中。任何第三方講話人或第三方材料的觀點均屬於其自己,不一定代表Cboe Company的觀點。那些內容不應被解釋爲Cboe對所描述的任何非Cboe金融產品或服務的價值的認可或指示。其中心。這些產品和數字資產非常複雜,適用於精細的市場參與者。這些產品涉及風險,這些風險可能非常大,並且根據產品類型的不同,可能超過建立頭寸時存入的金額。市場參與者應該僅將他們能夠承受不影響其生活方式的資金置於風險之中。任何第三方講話人或第三方材料的觀點均屬於其自己,不一定代表Cboe Company的觀點。那些內容不應被解釋爲Cboe對所描述的任何非Cboe金融產品或服務的價值的認可或指示。

Important Disclosures:

重要披露:

*The "floor on potential losses" refers to the maximum capital lost from call options on the S&P 500 using SPY and ^SPX. Most assets are in a short-duration treasury ladder, considered safe; however, still subject to potential losses.

*“潛在損失的底線”是指使用SPY和^SPX的標普500看漲期權的最大資本損失。大部分資產都是在短期國債階梯中,被視爲安全,但仍可能面臨潛在損失。

Measured Risk Portfolios, SMA's were incepted on October 1st, 2012. The attached Y-Charts report is the MRP Growth strategies returns, represented net-of-fees. This report(s) contains performance history from 2016 – 2023 due to a material change in the strategy's duration focus, or is reported since common inception. For all MRP strategies' full track records and annual performance, visit the Strategies page of the Measured Risk Portfolios Website.

測量風險投資組合的SMA是在2012年10月1日成立的。附加的Y-Charts報告是MRP增長策略的回報,淨費用代表。由於該策略的持續時間重點發生重大變化或自公共啓動以來報告,因此此報告包含2016年至2023年的績效歷史。有關所有MRP策略的全軌道記錄和年度績效,請訪問策略測量風險投資組合網站不可能直接投資於指數。 Y-Charts報告中的基準回報不包含費用。與SPY的績效差異和其實際基準之間的差異可能會發生。.

It is not possible to invest directly in an index. Benchmark returns in the Y-Charts report are not net of fees. Differences between performance against the S&P 500 ETF SPY and its actual benchmark may occur.

Measured Risk Portfolios,Inc.(MRPI)是美國證券交易委員會(SEC)註冊的投資顧問;但是,此類註冊並不意味着一定具有一定的技能或培訓水平,不應作出相反的推斷。有關投資計劃的其他信息,包括投資管理費以及有關MRPI,其服務,報酬和利益衝突的重要信息,包括重要信息,其服務,報酬和利益衝突的重要信息,包括有關現行和/或最近退出的ADV第2部分公司的形式,可以根據要求或在

Measured Risk Portfolios, Inc. (MRPI), is an investment adviser registered with the Securities and Exchange Commission (SEC); however, such registration does not imply a certain level of skill or training and no inference to the contrary should be made. Additional information regarding the investment program, including investment management fees, as well as important information regarding MRPI, its services, compensation, and conflicts of interest is contained in the firm's Form ADV Part 2 and is available upon request or at www.adviserinfo.sec.gov. The purpose of this communication is to provide information on products and services of MRPI and should not be considered investment advice or a recommendation to buy or sell any securities. The strategies and/or investments referenced may not be suitable for all investors as the appropriateness of a particular investment or strategy will depend on an investor's individual circumstances and objectives. The information provided reflects the views of the authors as of a particular time and are subject to change at any time without notice. Some of the information contained herein has been obtained or is derived from sources prepared by unaffiliated and independent third parties not associated with MRPI. While MRPI believes the information to be reliable for the purposes used herein, MRPI has not independently investigated or verified the accuracy of this information, and does not assume any responsibility for, nor guarantee, the accuracy, adequacy or completeness of any such information.

本次溝通的目的是提供關於MRPI的產品和服務的信息,不應被視爲投資建議或買賣任何證券的推薦。所引用的策略和/或投資可能不適合所有投資者,因爲特定投資或策略的適當性將取決於投資者的個人情況和目標。所提供的信息反映了作者的觀點,截至特定時間,並可能隨時更改而不進行通知。這些內容中的部分信息已由不隸屬於MRPI的獨立第三方準備或衍生,雖然MRPI認爲此信息對於此處所用的目的是可靠的,但MRPI沒有獨立調查或驗證此信息的準確性,並不對此類信息的準確性,充分性或完整性承擔任何責任或擔保。www.adviserinfo.sec.govMRP相關策略:MRPI採用各種策略來實現限制損失的目標。實現此目標的首要工具是使用期權。期權涉及風險,並非適合所有投資者。在購買或銷售期權之前,人必須獲得

Strategies related to MRP: MRPI employs various strategies to achieve the objective of limiting losses. The primary tool to achieve this objective is the use of options. Options involve risk and are not suitable for all investors. Prior to buying or selling an option, a person must receive a copy of Characteristics and Risks of Standardized Options. Copies of this document may be obtained from MRPI, from any exchange on which options are traded or by contacting The Options Clearing Corporation, One North Wacker Dr., Suite 500, Chicago, IL 60606 (1-888-678-4667). The program is not limited to any asset class and the PM retains discretionary trading authority on all accounts. In no event will the PM engage in "naked" options trading, which is the most speculative form of trading?

。此文檔的副本可以從MRPI,任何期權交易所或通過聯繫The Options Clearing Corporation,One North Wacker Dr.,Suite 500,Chicago,IL 60606(1-888-678-4667)獲得。該計劃沒有侷限於任何資產類別,PM保留對所有帳戶的自行交易權限。在任何情況下,PM都不會從事最具投機性的交易——赤裸裸的期權交易?期權的特性和風險在裸期權交易中,將不存在任何抵押物做爲對價格波動的保護。

Limitations of Past Performance: Possibility of Losses: Past performance does not guarantee future results. Prospective clients should not assume that future performance will be profitable. Participation in this program carries the potential for profit as well as the probability of loss, especially over shorter periods.

過去表現的限制:可能損失的可能性:過去的表現不保證未來結果。有望客戶不應假設未來績效將盈利。參加此程序既有獲得利潤的可能性,也有在短期內尤其面對的概率的損失。

Other Fees and Expenses; Impact of Taxes: The investment management fee paid to MRPI is separate and distinct from the internal fees and expenses charged by mutual funds and ETFs to their shareholders. These fees and expenses are described in each fund's prospectus and will generally include a management fee, internal investment, custodial and other expenses, and a possible distribution fee. Prospective clients should consider these fees and charges when deciding whether to invest in the program. Performance results for this program do not reflect the impact of taxes. Program accounts may engage in a significant amount of trading. Gains or losses will generally be short-term; consequently, this program may not be suitable for clients seeking tax efficiency.

其他費用和開支;稅收影響:支付給MRPI的投資管理費與共同基金和ETF向其股東收取的內部費用和開支是分開的。這些費用和支出在每個基金的招股說明書中描述,通常包括管理費,內部投資,託管和其他費用以及可能的分銷費用。在決定是否投資於該計劃時,潛在客戶應考慮這些費用和收費。該計劃的績效結果不反映稅收影響。該計劃帳戶可能進行大量交易。收益或損失通常是短期的;因此,此計劃可能不適合尋求稅收效益的客戶。

Comparisons to Indices: The S&P 500 Composite Index (the "S&P 500 Index") is a market capitalization-weighted index of 500 widely held stocks often used as a proxy for the broader stock market, and includes the common stocks of industrial, financial, utility, and transportation companies. The historical performance results of the S&P 500 Index do not reflect the deduction of transaction or custodial charges nor the deduction of an investment management fee, which would decrease historical performance results. Investors cannot invest directly in the S&P 500 Index. The performance of the S&P 500 Index is provided solely for comparison purposes and does not imply that the program seeks to match or outperform the index over time.

與指數的比較:標普500綜合指數(即“標準普爾500指數”)是一個由500支被廣泛持有的股票的市值加權指數,常被用作更廣泛的股票市場的代理,包括工業、金融、公用事業和運輸公司的普通股。標準普爾500指數的歷史表現結果不反映交易或託管費用的扣除,也不反映投資管理費的扣除,這將降低歷史表現結果。投資者無法直接投資於標準普爾500指數。標準普爾500指數的表現僅用於比較目的,並不意味着該計劃在一定時間內尋求匹配或超越該指數。

Y- Charts MPT 60/40 Benchmark Performance Disclosure

Y-Charts MPT 60/40基準表現披露

This benchmark was created by combining a 60% position in SPY and a 40% position in AGG and is not a standard benchmark.

該基準是將SPY的60%倉位和AGG的40%倉位組合而成的,不是一個標準基準。

THIS REPORT IS NOT AN INVESTMENT PERFORMANCE REPORT. DO NOT RELY ON THIS REPORT AS PORTRAYING OR CONTAINING PERFORMANCE

此報告不是投資業績報告。請勿依賴此報告來描繪或包含實際帳戶的業績信息。

OF, AN ACTUAL ACCOUNT. THIS REPORT SHOWS HYPOTHETICAL OR SIMULATED RETURNS OF PORTFOLIO(S) AND IS FOR ILLUSTRATIVE PURPOSES ONLY. This report is not intended to and does not predict or show the actual investment performance Of any account. A portfolio represents an investment in a hypothetical weighted blend of securities which, together with other inputs, were selected by you and/or your Adviser and, accordingly, a portfolio should be used for illustrative purposes only.

該報告顯示的是投資組合的虛擬或模擬回報,僅供說明目的。該報告不旨在預測或展示任何帳戶的實際投資表現。投資組合代表按照您和/或您的顧問選擇的加權股票混合而成的虛擬投資,連同其他輸入一起使用,因此,投資組合僅應用於說明目的。

Risks and Limitations of Hypothetical Performance

虛擬業績的風險和限制

HYPOTHETICAL AND SIMULATED PORTFOLIO RETURNS SHOULD NOT BE CONSIDERED PERFORMANCE REPORTING. NO representation is made that your investments will achieve results similar to those shown, and actual performance results may differ materially from those shown. Returns portrayed in this report do not reflect actual trading and investment activities but are hypothetical or simulated results of a hypothetical portfolio over the time period indicated and do not reflect the performance of actual accounts managed by your Adviser or any other person. The mutual funds and Other components Of the hypothetical portfolio(s) were selected with the full benefit Of hindsight, after their performance during the time period was known. In general, hypothetical returns generally exceed the results of client portfolios actually managed by advisers due to several factors, including the fact that actual portfolio allocations differed from the allocations represented by the market indices used to create the hypothetical portfolios over the time periods shown, new research was applied at different times to the relevant indices, and index performance does not reflect the deduction Of any fees and expenses. Results also assume that asset allocations would not have changed over time and in response to market conditions, which is likely to have occurred if an actual account had been managed during the time period shown.

虛擬投資組合的回報不應被視爲業績報告。我們不保證您的投資將達到與所示結果相似的結果,實際業績結果可能會與所示結果有較大差異。本報告所顯示的回報並不反映實際的交易和投資活動,而是所示時間段內虛擬投資組合的模擬結果,並不反映顧問或其他人管理的實際帳戶的表現。組合投資基金和其他投資組合的組成部分是利用充分的追溯優勢在時間段內選擇的。總的來說,虛擬回報通常要超過顧問實際管理的客戶投資組合的結果,這是由於幾個因素,包括實際投資組合的配置與用於創建虛擬投資組合的市場指數的配置在時間段內有所不同,新的研究在不同時間應用於相關指數,指數表現並不反映扣除任何費用和開支。結果還假設資產分配在時間和市場條件變化時不會改變,這可能會在實際帳戶在所示時間段內管理的情況下發生。

Criteria and Assumptions Used in Portfolio Performance

投資組合業績使用的標準和假設

All portfolios represent hypothetical blended investments of weighted securities as designated by the creator of this report based on the expected financial situation of the intended audience and should be used for illustrative purposes only and should not be considered performance reports. They are calculated by taking a weighted average of the target weights and the securities total return, assuming all dividends reinvested, since the latest rebalance date. These portfolios are assumed to rebalance to the exact designated weights at each calendar quarter or month end - whichever is chosen when setting up the portfolio. No transaction costs or taxes are included. Portfolio holdings are weighted by percentage, not whole share numbers.

所有投資組合均代表基於預期受衆的預期財務狀況而指定的加權證券的虛擬混合,僅供說明目的,不應視爲業績報告。計算方法是以最新的再平衡日期爲基準,將目標權重和證券總回報進行加權平均,假設所有股息都被再投資。假設這些投資組合在每個日曆季度或月末精確遵循指定的權重進行再平衡。不包括任何交易成本或稅金。投資組合持倉以百分比加權,而不是以整個股票數量加權。

声明:本內容僅用作提供資訊及教育之目的,不構成對任何特定投資或投資策略的推薦或認可。 更多信息
    搶先評論