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從這些指標(biāo)看,標(biāo)普500指數(shù)還會(huì)大跌

SHAWN TULLY
2022-05-31

由于許多大公司公布的業(yè)績或預(yù)測(cè)令人失望,美股將承受較大壓力。

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自2022年年初以來,標(biāo)普500指數(shù)下跌了超過16%,你或許認(rèn)為這是一次買入的好機(jī)會(huì)。不要上當(dāng)。

大盤股的估值依舊嚴(yán)重過高,基本原因是:疫情后的經(jīng)濟(jì)反彈中的消費(fèi)熱,導(dǎo)致公司收入膨脹到泡沫的程度?,F(xiàn)在,由于沃爾瑪(Walmart)、塔吉特(Target)、亞馬遜(Amazon)、Meta Platforms、奈飛(Netflix)、英偉達(dá)(Nvidia)和Snap等許多大公司公布的業(yè)績和/或預(yù)測(cè)令人失望,被吹大的氣球正在漏氣。依舊有一些投資者相信華爾街投資機(jī)構(gòu)分析師的觀點(diǎn),堅(jiān)持認(rèn)為去年的高額收益或多或少為未來奠定了一個(gè)新的、更高的基礎(chǔ)。因此,他們并沒有將價(jià)格降低到足以解釋收益大幅下降到更穩(wěn)定水平的原因。收益水平下降的趨勢(shì)已經(jīng)開始,并且可能加速。

投資者想要確定標(biāo)普500指數(shù)目前的“公允價(jià)值”,以及預(yù)估該指數(shù)未來半年或一年的水平,關(guān)鍵在于確定標(biāo)普500指數(shù)的收益何時(shí)達(dá)到一個(gè)有一定持久力的平臺(tái)期。筆者在分析中使用了多個(gè)經(jīng)檢驗(yàn)有效的指標(biāo)來確定這個(gè)數(shù)字。標(biāo)普指數(shù)當(dāng)前的估值與基本面所呈現(xiàn)的價(jià)值之間的差異,可能讓你感到震驚。

跟蹤收益激增的過程

從2017年年末到2021年,公司利潤從一個(gè)已經(jīng)相對(duì)較高的高起點(diǎn),創(chuàng)下一個(gè)多世紀(jì)以來最大的四年漲幅。標(biāo)普500指數(shù)的每股收益從109.88美元增長到197.87美元,上漲了80%,年度漲幅達(dá)到17%。同期美國經(jīng)濟(jì)增長17.7%,這意味著標(biāo)普500指數(shù)公司的利潤增長速度,比其出售的商品和服務(wù)的生產(chǎn)速度快了4.5倍。值得注意的是,2021年是收益激增的一年,每股收益幾乎比疫情之前創(chuàng)下的最高紀(jì)錄高1.5倍。去年第4季度,營業(yè)利潤率高達(dá)13.4%,遠(yuǎn)高于過去11年的中位數(shù)9.5%左右。

剛剛公布的《財(cái)富》美國500強(qiáng)排名生動(dòng)體現(xiàn)了這種趨勢(shì):2021年,《財(cái)富》美國500強(qiáng)公司收益1.8萬億美元,總收益比2019年增長了超過50%。

不難想象,美國公司不可能維持這種超高的盈利能力。公司收益顯然需要重置,但它最終將達(dá)到什么水平?在確定正常的每股收益“均值回歸”水平時(shí),一個(gè)很好的指標(biāo)是耶魯大學(xué)經(jīng)濟(jì)學(xué)家、諾貝爾獎(jiǎng)得主羅伯特·席勒開發(fā)的周期調(diào)整后市盈率,簡稱CAPE?!熬祷貧w”水平代表了公司利潤可以隨著經(jīng)濟(jì)增長合理增長的基礎(chǔ)。CAPE使用通脹調(diào)整后五年平均每股收益,確定哪些股票價(jià)格過低、價(jià)格過高或定價(jià)合理。如果市盈率因?yàn)槲覀冏罱吹降呐R時(shí)收益激增被人為壓低,該公式會(huì)提高市盈率(還會(huì)考慮當(dāng)利潤短期下滑時(shí)不可靠的市盈率增長)。

到目前為止,CAPE修勻公式計(jì)算的標(biāo)普500指數(shù)10年平均收益為128.50美元。但需要對(duì)這個(gè)數(shù)字進(jìn)行調(diào)整之后才能與已公布的每股收益進(jìn)行對(duì)比。CAPE根據(jù)通貨膨脹標(biāo)高以往的利潤,但并不會(huì)考慮超出消費(fèi)物價(jià)指數(shù)變化軌跡的“實(shí)際”物價(jià)上漲。根據(jù)有強(qiáng)大學(xué)術(shù)基礎(chǔ)的優(yōu)秀投資公司的經(jīng)驗(yàn),可將席勒的周期調(diào)整后市盈率提高10%,以體現(xiàn)“實(shí)際”收益。按照中間水平8.75%計(jì)算,CAPE的“可持續(xù)收益”約為141美元。

這個(gè)數(shù)字依舊比第4季度的198美元低26%。這表明每股收益在2019年底達(dá)到史上最高的139美元時(shí)已經(jīng)有些過熱,即將趨于平緩,結(jié)果新冠經(jīng)濟(jì)卻導(dǎo)致其大幅上漲。

幾乎總是過度樂觀的華爾街分析師們預(yù)測(cè),第2季度的年度每股收益將下降到186美元。請(qǐng)記住,今天的高通脹將在“實(shí)際”收益下降中扮演重要的角色。分析師們預(yù)測(cè)的2%的降幅,在通脹調(diào)整后可能是負(fù)10%,因?yàn)镃PI的年上漲速度超過8%。

收益下降時(shí)恰當(dāng)?shù)氖杏时稊?shù)

2017年底,隨著公司利潤大幅增長,標(biāo)普指數(shù)的市盈率倍數(shù)為24.3。之后四年出現(xiàn)了一種驚人的現(xiàn)象:每股收益增長90%,標(biāo)普指數(shù)也經(jīng)歷了幾乎相同幅度的上漲。到去年新年前夜,市盈率倍數(shù)為24.1,幾乎沒有變化。這可能依舊是一個(gè)很高的數(shù)字,盡管分子是平均數(shù),而不是大盤股公司的利潤。自1988年以來,標(biāo)普指數(shù)的中位數(shù)市盈率倍數(shù)為21.8,遠(yuǎn)高于一個(gè)多世紀(jì)以來該基準(zhǔn)指數(shù)的平均市盈率倍數(shù)16左右。

在5月25日收盤時(shí),標(biāo)普指數(shù)年初至今下跌超過16%,導(dǎo)致市盈率倍數(shù)進(jìn)一步降至20.1。略低于平均水平的市盈率倍數(shù),可能讓股票看起來價(jià)格較低。但需要再次強(qiáng)調(diào)的是,依舊虛高的利潤這個(gè)分母夸大了市盈率倍數(shù)。

我們可以使用席勒的收益數(shù)據(jù)(在向上調(diào)整“實(shí)際”收益后)和過去33年的平均市盈率,得出一個(gè)合理的標(biāo)普指數(shù)公允價(jià)值預(yù)測(cè)。每股收益140美元,市盈率倍數(shù)21.8,意味著標(biāo)普指數(shù)的合理點(diǎn)位為3080點(diǎn)。這比5月25日收盤時(shí)的3970點(diǎn)低22%?;久婧芮宄簶?biāo)普指數(shù)依舊在一個(gè)巨大的“氣穴”上方盤旋,可能出現(xiàn)短期震蕩。

每股收益減少近四分之一,最重要的是確定遠(yuǎn)低于當(dāng)前水平的公允價(jià)值,這似乎有些極端。但事實(shí)并非如此。收益141美元依舊比2017年底高28%,相當(dāng)于每年增長6%。以此為起點(diǎn)計(jì)算,營業(yè)利潤率已經(jīng)高達(dá)10.3%。

按照約3100點(diǎn)的公允價(jià)值計(jì)算,標(biāo)普指數(shù)依舊接近2019年底經(jīng)過多年大幅上漲之后的最高紀(jì)錄,而且比2017年年初上漲了38%。

標(biāo)普指數(shù)下跌22%甚至也算不上悲觀。這種情景預(yù)測(cè)市場市盈率倍數(shù)達(dá)到約22,按照歷史標(biāo)準(zhǔn)來看,這依舊是一個(gè)很高的數(shù)字。過去十年,美國的超低實(shí)際利率使股市大漲。只有股市能繼續(xù)從超低實(shí)際利率中受益,市盈率倍數(shù)才有可能達(dá)到這個(gè)水平。如果美聯(lián)儲(chǔ)快速控制通貨膨脹的計(jì)劃失敗,市盈率倍數(shù)還可能更低??焖偕蠞q且不穩(wěn)定的CPI,讓投資者擔(dān)心美聯(lián)儲(chǔ)需要采取更強(qiáng)有力的措施,這可能引發(fā)嚴(yán)重經(jīng)濟(jì)衰退。為了尋求安慰,投資者需要用超豐厚的“股權(quán)風(fēng)險(xiǎn)溢價(jià)”,即與無風(fēng)險(xiǎn)債券相比持有股票帶來的額外預(yù)期收益,補(bǔ)償持有股票所承擔(dān)的更高風(fēng)險(xiǎn)。股票成本越低,風(fēng)險(xiǎn)溢價(jià)緩沖只會(huì)變得越大。無論是持續(xù)的高通脹還是實(shí)際利率恢復(fù)到2%以上,都會(huì)降低市盈率倍數(shù),使股價(jià)更快、更大幅度下跌。

我們甚至沒有談到可能發(fā)生的經(jīng)濟(jì)衰退,將使公司利潤低于已經(jīng)大幅下降的可靠水平。在股市中少有的可以確定的一點(diǎn)是,其驅(qū)動(dòng)因素最終將回歸均值,受制于總體經(jīng)濟(jì)增長和競爭等因素。這些因素決定了公司盈利能力的上限。股市會(huì)再次繁榮。但數(shù)學(xué)計(jì)算顯示,股市首先需要在目前的基礎(chǔ)上大幅下跌,然后投資者才能迎來買入的真正良機(jī)。(財(cái)富中文網(wǎng))

譯者:劉進(jìn)龍

審校:汪皓

自2022年年初以來,標(biāo)普500指數(shù)下跌了超過16%,你或許認(rèn)為這是一次買入的好機(jī)會(huì)。不要上當(dāng)。

大盤股的估值依舊嚴(yán)重過高,基本原因是:疫情后的經(jīng)濟(jì)反彈中的消費(fèi)熱,導(dǎo)致公司收入膨脹到泡沫的程度。現(xiàn)在,由于沃爾瑪(Walmart)、塔吉特(Target)、亞馬遜(Amazon)、Meta Platforms、奈飛(Netflix)、英偉達(dá)(Nvidia)和Snap等許多大公司公布的業(yè)績和/或預(yù)測(cè)令人失望,被吹大的氣球正在漏氣。依舊有一些投資者相信華爾街投資機(jī)構(gòu)分析師的觀點(diǎn),堅(jiān)持認(rèn)為去年的高額收益或多或少為未來奠定了一個(gè)新的、更高的基礎(chǔ)。因此,他們并沒有將價(jià)格降低到足以解釋收益大幅下降到更穩(wěn)定水平的原因。收益水平下降的趨勢(shì)已經(jīng)開始,并且可能加速。

投資者想要確定標(biāo)普500指數(shù)目前的“公允價(jià)值”,以及預(yù)估該指數(shù)未來半年或一年的水平,關(guān)鍵在于確定標(biāo)普500指數(shù)的收益何時(shí)達(dá)到一個(gè)有一定持久力的平臺(tái)期。筆者在分析中使用了多個(gè)經(jīng)檢驗(yàn)有效的指標(biāo)來確定這個(gè)數(shù)字。標(biāo)普指數(shù)當(dāng)前的估值與基本面所呈現(xiàn)的價(jià)值之間的差異,可能讓你感到震驚。

跟蹤收益激增的過程

從2017年年末到2021年,公司利潤從一個(gè)已經(jīng)相對(duì)較高的高起點(diǎn),創(chuàng)下一個(gè)多世紀(jì)以來最大的四年漲幅。標(biāo)普500指數(shù)的每股收益從109.88美元增長到197.87美元,上漲了80%,年度漲幅達(dá)到17%。同期美國經(jīng)濟(jì)增長17.7%,這意味著標(biāo)普500指數(shù)公司的利潤增長速度,比其出售的商品和服務(wù)的生產(chǎn)速度快了4.5倍。值得注意的是,2021年是收益激增的一年,每股收益幾乎比疫情之前創(chuàng)下的最高紀(jì)錄高1.5倍。去年第4季度,營業(yè)利潤率高達(dá)13.4%,遠(yuǎn)高于過去11年的中位數(shù)9.5%左右。

剛剛公布的《財(cái)富》美國500強(qiáng)排名生動(dòng)體現(xiàn)了這種趨勢(shì):2021年,《財(cái)富》美國500強(qiáng)公司收益1.8萬億美元,總收益比2019年增長了超過50%。

不難想象,美國公司不可能維持這種超高的盈利能力。公司收益顯然需要重置,但它最終將達(dá)到什么水平?在確定正常的每股收益“均值回歸”水平時(shí),一個(gè)很好的指標(biāo)是耶魯大學(xué)經(jīng)濟(jì)學(xué)家、諾貝爾獎(jiǎng)得主羅伯特·席勒開發(fā)的周期調(diào)整后市盈率,簡稱CAPE。“均值回歸”水平代表了公司利潤可以隨著經(jīng)濟(jì)增長合理增長的基礎(chǔ)。CAPE使用通脹調(diào)整后五年平均每股收益,確定哪些股票價(jià)格過低、價(jià)格過高或定價(jià)合理。如果市盈率因?yàn)槲覀冏罱吹降呐R時(shí)收益激增被人為壓低,該公式會(huì)提高市盈率(還會(huì)考慮當(dāng)利潤短期下滑時(shí)不可靠的市盈率增長)。

到目前為止,CAPE修勻公式計(jì)算的標(biāo)普500指數(shù)10年平均收益為128.50美元。但需要對(duì)這個(gè)數(shù)字進(jìn)行調(diào)整之后才能與已公布的每股收益進(jìn)行對(duì)比。CAPE根據(jù)通貨膨脹標(biāo)高以往的利潤,但并不會(huì)考慮超出消費(fèi)物價(jià)指數(shù)變化軌跡的“實(shí)際”物價(jià)上漲。根據(jù)有強(qiáng)大學(xué)術(shù)基礎(chǔ)的優(yōu)秀投資公司的經(jīng)驗(yàn),可將席勒的周期調(diào)整后市盈率提高10%,以體現(xiàn)“實(shí)際”收益。按照中間水平8.75%計(jì)算,CAPE的“可持續(xù)收益”約為141美元。

這個(gè)數(shù)字依舊比第4季度的198美元低26%。這表明每股收益在2019年底達(dá)到史上最高的139美元時(shí)已經(jīng)有些過熱,即將趨于平緩,結(jié)果新冠經(jīng)濟(jì)卻導(dǎo)致其大幅上漲。

幾乎總是過度樂觀的華爾街分析師們預(yù)測(cè),第2季度的年度每股收益將下降到186美元。請(qǐng)記住,今天的高通脹將在“實(shí)際”收益下降中扮演重要的角色。分析師們預(yù)測(cè)的2%的降幅,在通脹調(diào)整后可能是負(fù)10%,因?yàn)镃PI的年上漲速度超過8%。

收益下降時(shí)恰當(dāng)?shù)氖杏时稊?shù)

2017年底,隨著公司利潤大幅增長,標(biāo)普指數(shù)的市盈率倍數(shù)為24.3。之后四年出現(xiàn)了一種驚人的現(xiàn)象:每股收益增長90%,標(biāo)普指數(shù)也經(jīng)歷了幾乎相同幅度的上漲。到去年新年前夜,市盈率倍數(shù)為24.1,幾乎沒有變化。這可能依舊是一個(gè)很高的數(shù)字,盡管分子是平均數(shù),而不是大盤股公司的利潤。自1988年以來,標(biāo)普指數(shù)的中位數(shù)市盈率倍數(shù)為21.8,遠(yuǎn)高于一個(gè)多世紀(jì)以來該基準(zhǔn)指數(shù)的平均市盈率倍數(shù)16左右。

在5月25日收盤時(shí),標(biāo)普指數(shù)年初至今下跌超過16%,導(dǎo)致市盈率倍數(shù)進(jìn)一步降至20.1。略低于平均水平的市盈率倍數(shù),可能讓股票看起來價(jià)格較低。但需要再次強(qiáng)調(diào)的是,依舊虛高的利潤這個(gè)分母夸大了市盈率倍數(shù)。

我們可以使用席勒的收益數(shù)據(jù)(在向上調(diào)整“實(shí)際”收益后)和過去33年的平均市盈率,得出一個(gè)合理的標(biāo)普指數(shù)公允價(jià)值預(yù)測(cè)。每股收益140美元,市盈率倍數(shù)21.8,意味著標(biāo)普指數(shù)的合理點(diǎn)位為3080點(diǎn)。這比5月25日收盤時(shí)的3970點(diǎn)低22%?;久婧芮宄簶?biāo)普指數(shù)依舊在一個(gè)巨大的“氣穴”上方盤旋,可能出現(xiàn)短期震蕩。

每股收益減少近四分之一,最重要的是確定遠(yuǎn)低于當(dāng)前水平的公允價(jià)值,這似乎有些極端。但事實(shí)并非如此。收益141美元依舊比2017年底高28%,相當(dāng)于每年增長6%。以此為起點(diǎn)計(jì)算,營業(yè)利潤率已經(jīng)高達(dá)10.3%。

按照約3100點(diǎn)的公允價(jià)值計(jì)算,標(biāo)普指數(shù)依舊接近2019年底經(jīng)過多年大幅上漲之后的最高紀(jì)錄,而且比2017年年初上漲了38%。

標(biāo)普指數(shù)下跌22%甚至也算不上悲觀。這種情景預(yù)測(cè)市場市盈率倍數(shù)達(dá)到約22,按照歷史標(biāo)準(zhǔn)來看,這依舊是一個(gè)很高的數(shù)字。過去十年,美國的超低實(shí)際利率使股市大漲。只有股市能繼續(xù)從超低實(shí)際利率中受益,市盈率倍數(shù)才有可能達(dá)到這個(gè)水平。如果美聯(lián)儲(chǔ)快速控制通貨膨脹的計(jì)劃失敗,市盈率倍數(shù)還可能更低。快速上漲且不穩(wěn)定的CPI,讓投資者擔(dān)心美聯(lián)儲(chǔ)需要采取更強(qiáng)有力的措施,這可能引發(fā)嚴(yán)重經(jīng)濟(jì)衰退。為了尋求安慰,投資者需要用超豐厚的“股權(quán)風(fēng)險(xiǎn)溢價(jià)”,即與無風(fēng)險(xiǎn)債券相比持有股票帶來的額外預(yù)期收益,補(bǔ)償持有股票所承擔(dān)的更高風(fēng)險(xiǎn)。股票成本越低,風(fēng)險(xiǎn)溢價(jià)緩沖只會(huì)變得越大。無論是持續(xù)的高通脹還是實(shí)際利率恢復(fù)到2%以上,都會(huì)降低市盈率倍數(shù),使股價(jià)更快、更大幅度下跌。

我們甚至沒有談到可能發(fā)生的經(jīng)濟(jì)衰退,將使公司利潤低于已經(jīng)大幅下降的可靠水平。在股市中少有的可以確定的一點(diǎn)是,其驅(qū)動(dòng)因素最終將回歸均值,受制于總體經(jīng)濟(jì)增長和競爭等因素。這些因素決定了公司盈利能力的上限。股市會(huì)再次繁榮。但數(shù)學(xué)計(jì)算顯示,股市首先需要在目前的基礎(chǔ)上大幅下跌,然后投資者才能迎來買入的真正良機(jī)。(財(cái)富中文網(wǎng))

譯者:劉進(jìn)龍

審校:汪皓

Given the S&P 500's over 16% decline since the start of 2022, you might think this is a buying opportunity. Don't be fooled.

Big cap stocks are still substantially overpriced for a basic reason: Corporate earnings mushroomed to bubble proportions because of the spending frenzy that raged in the rebound from the pandemic. Now, the balloon is leaking air as a parade of big names announce disappointing results and/or forecasts, among them Walmart, Target, Amazon, Meta Platforms, Netflix, Nvidia, and Snap. Still, some investors, reassured by Wall Street's buy-side analysts, are clinging to the view that last year's gigantic earnings have more or less set a new, super-elevated base for the future. Hence, they're not slicing prices nearly enough to account for the sharp descent to much more stable earnings levels that's already underway, and set to gather speed.

For investors who are trying to figure out a "fair value" for today's S&P 500, and to estimate where the index is likely to settle in six months or a year, it's crucial to determine when S&P earnings will reach a plateau that will have some staying power. In this analysis, I use a few tried-and-true metrics to establish that number. The distance between the S&P current valuation, and what the underlying fundamentals say it's worth, may shock you.

Tracking the earnings explosion

From the close of 2017 through the end of 2021, corporate profits enjoyed their biggest four-year rise—measured from an already reasonably high start—in more than a century. S&P 500 earnings-per-share jumped from $109.88 to $197.87, or 80%, garnering annualized gains of 17%. In the same period, the U.S. economy expanded by 17.7%, meaning, in essence, that S&P 500 companies' profits outpaced the production of goods and services they were selling by four-and-a-half times. It's notable that the 2021 EPS number was almost half-again higher than the record set in pre-COVID 2019, itself a banner year for earnings. In Q4 of last year, operating margins hit an incredible 13.4%, far above the median of around 9.5% over the past eleven years.

The just-published Fortune 500 rankings vividly illustrates the trend: For 2021, the members posted $1.8 trillion in earnings, a huge gain of over 50% in total earnings versus 2019.

Corporate America can't conceivably maintain that super-rich level of profitability. Earnings clearly need to reset, but where will they land? An excellent yardstick for determining a normal, "reversion to the mean" level for earnings-per-share—a footing from which profits can reasonably grow in tandem with the economy–is the cyclically adjusted price-earnings ratio or CAPE developed by Yale economist and Nobel laureate Robert Shiller. The CAPE measures whether stocks are cheap, expensive or reasonably priced by using a five-year average of earnings-per-share, adjusted for inflation. That formula raises PEs when they're artificially depressed by the kind of temporary earnings explosions we've seen recently (as well as accounting for unreliably inflated multiples when profits hit a short-lived slump).

As of today, the CAPE smoothing formula puts ten-year earnings for the S&P 500, on average, at $128.50 That figure, however, requires an adjustment before it's compared with today's reported EPS. The CAPE marks up past profits to account for inflation, but not for "real" increases that exceed the trajectory for the Consumer Price Index. A rule of thumb used by a prominent investment firm that has strong academic grounding raises Shiller number by 10% to account for the "real" component. Taking the mid-point of 8.75%, the CAPE's "sustainable" earnings come to around $141.

That figure is still 26% lower than the Q4 reading of $198. It implies that EPS was already a bit overheated when it reached an all-time high of $139 at the end of 2019, and was poised to flatten before the COVID economy launched the moonshot.

The almost-always overly optimistic Wall Street analysts are predicting an annualized a decline to $186 for Q2. Keep in mind that today's heavy inflation will play a big part to hammering "real" earnings. The 2% decrease the analysts' forecast is more like a negative 10% in inflation-adjusted numbers, given that the CPI is advancing at an annual rate of over 8%.

The right multiple for lower earnings

At the end of 2017, just as profits took off, the S&P's price-to-earnings multiple stood at 24.3. The next four years witnessed an amazing phenomenon: EPS jumped 90%, and the S&P increased by almost an identical amount. By New Year's Eve of last year, the multiple had barely budged, to 24.1. Still, that would be a pretty high number, even if the numerator were average rather than Brobdingnagian profits. The S&P's median P/E since 1988 is 21.8, which in turn is well above the average of around 16 when the benchmark index measured for more than a century.

At the market close on May 25, the P/E had fallen to 20.1, driven lower by the year-to-date fall of over 16%. That slightly-below-average multiple might make stocks look somewhat cheap. But once again, it's swelled by a denominator of still-highly-inflated profits.

We can arrive at a reasonable forecast of fair value for the S&P by deploying the Shiller earnings number (after our upward adjustment for "real" gains), and the average P/E over the past thirty-three years. A multiple of 21.8 applied to earnings-per-share of $140 would make the S&P reasonably priced at 3080. That's 22% below its close of 3970 on May 25. The basics are clear: The S&P is still hovering over a big air pocket.

A markdown in EPS by nearly one-quarter, the top factor is establishing a fair value well below today's levels, might seem extreme. But that's not the case. At $141, earnings would still be 28%, or 6% a year, higher than they were at the end of 2017. At that starting point, operating margins were already elevated at 10.3%.

At a fair value of around 3100, the S&P would still stand close to its then-record following years of outsized gains at the end of 2019, and up 38% from the beginning of 2017.

A fall of 22% isn't even particularly pessimistic. That scenario still projects that the market P/E will settle at almost 22, a high number by historic standards. It will only be that high if the markets continue to benefit from the extremely low real interest rates that have provided a big boost in the last decade. Multiples will also be far lower if the Federal Reserve fails in its campaign to quickly tame inflation. A fast-rising and volatile CPI vexes investors who fear the Fed will need to crack down even harder, causing a severe recession. For comfort, they demand a super-fat "equity risk premium," the extra expected returns on stocks versus risk-free bonds, as compensation for the heightened risk of holding equities. The risk-premium cushion only gets bigger when stocks get cheaper. Either persistently high inflation or a return to 2%-plus real rates would compress multiples, making stocks' dive much faster and steeper.

And we're not even talking about a possible recession that would push corporate profits well below the already much reduced number that's reliable. One of the stock market's few certainties is that its drivers eventually revert to the mean, governed by such gravitational forces as overall economic growth and competition that imposes a cap on profitability. Equities can thrive again. But the math shows that they'll have to fall a long way from here before investors will get a genuine buying opportunity.

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