Rising U.S. Stock and Bond Yields: A Matter Worth Your Attention

Published in Hong Kong Commercial Daily
(Hong Kong) on 13 January 2011
by Liu Zhenye (link to originallink to original)
Translated from by Paul Yuan. Edited by Amy Wong.
After the Fed’s QE2 policies and statements about a possible QE3, the market has had difficulty digesting the impact. In December, yields on 10-year Treasury notes rose above three percent, and the DJIA continued to break high. Main Street interprets this phenomenon as rising stocks prices and bond yields. Nevertheless, rising bond yields and stock prices have been common phenomena in recent years. The phenomenon was last seen in March 2009 when QE1 was introduced. DJIA rebounded from 6544 points, and yields on 10-year Treasury notes increased from 2.5 percent to four percent. The same phenomenon occurred from April to October 2010.

However, the zero-sum game just mentioned is not entirely accepted by the market. Some state that bond yields and stock prices made new highs at different points in time. More precisely, bond yields have decreased for 30 years while stocks have been rising for 30 years. How could they both be increasing? Low bond yields increase the equity-to-bond ratio.

Based on past statistics, since 1970, the DJIA and the Hang Seng indices both move in opposite directions of bond yields. However, the calculations have some discrepancies because investors are chasing returns based on capital gains (movements in prices). If the calculation takes into account the annual changes in stock prices and the yields on 10-year Treasuries, what would the result be?

In the past 40 years, returns from the stock market do not have a direct correlation with movements in bond yields. Only the FTSE and Nikkei indices have a better correlation ratio of 0.20 (0.20 is an acceptable correlation.). If the period for calculation is 10 years, the debt-to-equity correlation ratio since 2000 is between 0.17 and 0.40. In other periods, there seems to be no correlation. Although the average correlation for FTSE and Nikkei appears to be high, the high correlation ratio was contributed by the correlation since year 2000.

Of course, one can argue that since the year 2000, the statistics are more meaningful because of acceleration in global capital movements. But it is also bold to conclude that bond yield and stock prices rose together if we make individual calculations based on bond yields.

In the figure, we use five percent and 10 percent bond yields to make our calculations. When yields rise above 10 percent, the stock market moves in the opposite direction of bond yields. Below 10 percent, the effect diminishes, and below five percent bond yields and stock markets move in the same direction, a correlation ration between 0.38 and 0.60. The average correlation has been pulled lower by numbers from 10 percent yield calculations. In addition, between the five percent and 10 percent yield, there are two important periods, from 1971 to 1979 and 1985 to 2001, where the stock market directly correlates with movements in bond yields.

Don’t ignore the possibility of rising stock and bond yields

From our analysis above, investors can profit from the stock market when bond yield increases. However, this is only true when yields are below 10 percent and more applicable when yields are below five percent. Why is that? Historically, high yields reflect inflation. But high inflation negatively impacts the stock market in two ways: firstly, high commodity prices increase business operation cost, and if it is not transferred to consumers, earning will be negatively impacted; secondly, investors demand higher dividend yields from stocks, therefore hurting the companies’ valuation. On the other hand, a fall in bond yield reflects easing inflationary pressures; corporate profit will hurt less and boost the performance of stocks. In addition, the beneficiaries of rising U.S. bond yields are foreign stock exchanges. DJIA benefits little from the increase (Correlation ratio of a mere 0.38 for yield below five percent). The proposition that bond yield and stock prices rise together cannot be held true by looking at only U.S. market statistics.

Yields on 10 U.S. Treasuries, at the current level, stand at 3.3 percent. The author expects yields to rise above four percent this year. Since the implementation of QE policies, global inflation is warming up, and rising U.S. bond yield is part of the trend. In fact, the average yield on 10-year Treasuries since 2000 is already four percent. Even before QE2 policy was implemented, yields were at a four percent high. With expected inflation, it wouldn’t be difficult to expect yields moving past four percent.

In conclusion, the correlation between bond yield and stock prices is determined by the level of the bond yield. When bond yields are above 10 percent, there is little correlation between bond yields and equity returns. However, in the past 20 years, bond yields have seen direct correlation with equity returns, and when the U.S. bond yields are at seemingly low levels, an increase in yield will result in an increase in equity returns — a phenomenon worth nothing.


美股債齊升不容忽視
2011年 01月 13日 00:00 中國窗

交通銀行(香港)資金部劉振業

早前聯儲局推出QE2,及后則放風或推QE3。然而,市場似乎不太領情,去年12月美國十年期國債孳息率再次升穿3厘,同時,美國道指卻持續造好,實行股債齊升(債指債息,下同)。此時,坊間解讀此現象為「弃債投股」。其實近年股債齊升齊跌亦十分常見,對上一次兩者齊升就是2009年3月QE1出台后,美國道指自6544點反彈,而十年期債息亦由2.5厘升至4厘,及后由2010年4月至10月間,便出現兩者齊跌現象。

不過上述的零和游戲卻不見得完全得到市場認同,有些稱兩者同創新高日子不同;較清晰的說法是債息已經連跌30多年,但全球股市卻升足30多年,何來股債齊升?低債息增股債相關系數

首先,若以相關系數計算,自1970年起,無論以美國道指或港股做主軸,兩者跟債息走向都出現明顯背馳而反方向走。不過,這個計算方法有點問題,因投資者是着眼於回報,即價格變動。若把股價按年變動與美國十年期債息計多一次,答案又如何呢?

不過,近40年來,大部分股市(指其回報,下同)跟美債息走向關系仍不明顯(見表),當中只有日經指數與英國富時錄得較佳關系,相關系數超過0.20(0.20是可接受程度)。若以十年為一個時期,則發現2000年至今,股債相關系數介乎0.17至0.40,但其他時期卻發現兩者并無太大關系,可見就算日經指數與英國富時指數全期相關系數較高,也只是受到2000年后的高相關系數拉高而已。

當然,2000年后的統計或許更具參考價值,因為2000年后全球一體化令資金流動性加速,不過藉此斷定「弃債投股」真有其事顯然有點魯莽,若以美債息率分作不同分水嶺再計算一下,情况便更清晰。

表中可見,若以美債息5厘及10厘作為分水嶺,大部分美債息與股市背馳的時期都集中於10厘以上,但若果是10厘以下,背馳情况就開始退減,而且股市與債息在5厘以下更錄得高相關系數,介乎0.38至0.60,證明全期股市與債息相關系數較低主要是被10厘以上的系數拉低。另外,在5厘至10厘之間,亦可分為兩段時期,分別為1971至1979及1985至2001年,當中以后一段時期全球股市錄得較高的相關系數。

不容忽視弃債投股可能性

看過上述分析后,以回報率計算,在美債息上升的同時,投資者的確可在股市中獲利,但這只限於在美債息10厘以下水平,當中以5厘以下最為理想。何解?歷史上,債息從來都反映通脹,但高通脹卻對股市造成打擊,這可分兩方面說:一是原材料價格上漲,若成本未能完全轉嫁予消費者,企業盈利將會削弱;二是投資者在通脹期都會要求更高股息率,因而令公司估值下跌。反之,債息回落意味通脹壓力下降,企業盈利受損亦可減輕,利好股市表現。另外,債息上升最終受惠者是美國以外的股市,反而美國道指受惠程度較低(5厘以下相關系數只有0.38)。故若只以美國數據審視「股債齊升」命題,便不能全面反映事實。

現時美國十年期債息約在3.3厘水平,筆者估計今年內大有機會升至4厘以上。自美國推行QE后,全球通脹逐漸升溫,美債息向上已是大勢所趨。何况,2000年至今的平均息率亦達4.3厘,就算美國推行QE2前,十年期債息高位也為4厘,現時通脹預期加大,十年期債息升穿4厘豈有難度?

總之,美債息升跌與股市是否有直接關系,主要建基於債息的高低程度,當美債息超過10厘時,債息與股市回報關系薄弱。不過,在近20多年,美債息與全球股市回報確見同步化,而且當美債息低企時,「弃債投股」的可能性不容忽視!
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