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Seng Heng Bank - Center for Investment and Risk
                                      Analytics

                                                                                誠興銀行 - 投資及風險研究中心


投資新思維      


                                                                                                                                                                                刊登日期 :二零零九年二月二日(市民日報)


                                                                         作者為誠興銀行投資及風險研究中心分析員黃碩東

                                                                                                                                                        長楂與系統買賣

傳統智慧告訴我們只要長楂一隻好股票,一段時間後必定有一個好回報.但一場金融海
嘯令很多股票都錄得大幅度的下跌,那麼長楂是否真的如想像般的好?



                                                                                                                                                   恆生指數10年表現(圖一)
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28000




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18000




13000




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                                                                                                                                       近十年長綫持有回報低

近期匯豐股價大跌令很多鍾情該股的投資者大失所望.以1月30日之收市價計,10年間
Seng Heng Bank - Center for Investment and Risk
                     Analytics

           誠興銀行 - 投資及風險研究中心


匯豐之股價是下跌了5.5%,加入股息後回報為46.1%,即每年平均回報為3.8%.以股票
這一類高風險的資產而言可說是十分低.那麼恆生指數又如何?從圖一可見,10年前指
數為約9500點,相比起今天上升了39.6%,但計入股息後上升了93.2%,即每年平均回報
為6.8%.若不是於99年低位開始計算,而是於2000年開始計的話,計入股息後回報只會
有1.5%.那麼讀者可能會問為什麼不以2007計算,這樣回報一定會高很多,需知道經濟
是有週期性的,我們必須以一整個大週期作計算,而事實上很多較成熟之股票市場在一
個經濟週期過後,指數價格很多時是原地踏步.例如標普500指數(見圖二),科網爆破後
2002年指數低位是回到97年水平,而今次金融海嘯的價位也是回到2002年低位水平.
若是長楂的話,週期中間指數的升幅可說只是由如浮雲.



                  250天平均線模擬系統

那麼若是如筆者所說,一個經濟週期過後指數便會打回原型,一個很簡單的問題便會產
生;我們是否能夠在週期開始時買進,或在週期完結前賣出?首先要解決的問題是如何
判斷那時候是週期的開始及結束.市場時常以250天平均線作為一個牛市及熊市的分
水嶺.所以一個最簡單的做法是以這個做指標,即若指數升過250天平均線便買入,跌穿
便賣出,也可以正實一下這個250天線的實質作用.
Seng Heng Bank - Center for Investment and Risk
                                            Analytics

                                                                                                       誠興銀行 - 投資及風險研究中心

                                                                                                                                                                                                            標普500指數(圖二)
1800




1600




1400




1200




1000




 800




 600
       1/29/1996
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                                                                                                                                                              恆生指數與模擬系統之比較

圖三是恆生指數與250天模擬系統之過往10年回報,可見於2001-2002年期間,當恆指
大跌時, 由於恆指大部分時間是低於250天平均線,所以模擬系統大部分時間於期內手
持現金,而至約03年中,恆指回升過250天平均線, 模擬系統便買入恆指(若真正執行,讀
者可買入以追蹤恆指為目標之盈富基金2800),之後大部分時間都是手持指數,直至08
年中賣出後便持現金至現在. 在回報方面, 模擬系統這10年在未計股息前之平均每年
回報為8.93%,而若長楂恆指的話平均回報僅為3.22%,可見於這10年, 250天線模擬系
統的確能夠跑嬴長楂恆指,而且幅度不少. 主要原因是於指數大幅度下跌時, 模擬系統
往往能夠作出正確的賣出信號.從圖四可看到由高位之跌幅%.可見在2001-2003及今
次兩次之大熊市中, 模擬系統的最大高位跌幅%均比恆生指數為細. 恆生指數的由高
位最大跌幅為66%,而模擬系統則只是41%.
Seng Heng Bank - Center for Investment and Risk
                      Analytics

            誠興銀行 - 投資及風險研究中心



                恆生指數與250天模擬系統之回報(圖三)




         注: 藍線為恆指之回報,淺綠為系統買入恆指,深綠為手持現金



那麼讀者可能會懷疑過往十年模擬系統跑嬴指數只是巧合,事實上卻不是如此.若由
1970年至1999年計這30年, 模擬系統的年平均回報是 15.91%,而恆指的回報為
15.19%(未計股息),而模擬系統的由高位最大跌幅為66%,而恆指則為91.5%(發生於
1973-74年之股災).

                         總結

由上述可見,一個很簡單的買賣程式已經可以提升回報.而事實上這樣一個系統的最
大好處為可以減低由高位最大跌幅%及波動性.需知道當一個組合下跌5成,要回復至
原來水平便需要上升100%. 在牛市中,平均線買賣系統很多時候回報均會比指數低.
但在大熊市中,其功能便會發揮.
-70.0%
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                                    250天模擬系統
                                                                                                                     5/27/04
                                                                                                                                                                                               Analytics




                                                                                                                     9/27/04

                                                                                                                     1/27/05




                                    恆生指數
                                                                                                                     5/27/05

                                                                                                                     9/27/05
                                                                                                                               由高位跌幅%(Max. Drawdown%)圖四




                                                                                                                     1/27/06

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                                                                                                                                                          誠興銀行 - 投資及風險研究中心




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                                                                                                                                                                             Seng Heng Bank - Center for Investment and Risk




                                                                                                                     9/27/08
(讀者如有任何意見,可電郵至feedback@stshb.com)
                                                                                                                     1/27/09

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  • 1. Seng Heng Bank - Center for Investment and Risk Analytics 誠興銀行 - 投資及風險研究中心 投資新思維       刊登日期 :二零零九年二月二日(市民日報) 作者為誠興銀行投資及風險研究中心分析員黃碩東 長楂與系統買賣 傳統智慧告訴我們只要長楂一隻好股票,一段時間後必定有一個好回報.但一場金融海 嘯令很多股票都錄得大幅度的下跌,那麼長楂是否真的如想像般的好? 恆生指數10年表現(圖一) 33000 28000 23000 18000 13000 8000 1/29/1999 5/29/1999 9/29/1999 1/29/2000 9/29/2000 1/29/2001 9/29/2001 1/29/2002 9/29/2002 1/29/2003 5/29/2003 9/29/2003 1/29/2004 5/29/2004 9/29/2004 1/29/2005 5/29/2005 9/29/2005 5/29/2006 9/29/2006 5/29/2007 9/29/2007 9/29/2008 1/29/2009 5/29/2000 5/29/2001 5/29/2002 1/29/2006 1/29/2007 1/29/2008 5/29/2008 近十年長綫持有回報低 近期匯豐股價大跌令很多鍾情該股的投資者大失所望.以1月30日之收市價計,10年間
  • 2. Seng Heng Bank - Center for Investment and Risk Analytics 誠興銀行 - 投資及風險研究中心 匯豐之股價是下跌了5.5%,加入股息後回報為46.1%,即每年平均回報為3.8%.以股票 這一類高風險的資產而言可說是十分低.那麼恆生指數又如何?從圖一可見,10年前指 數為約9500點,相比起今天上升了39.6%,但計入股息後上升了93.2%,即每年平均回報 為6.8%.若不是於99年低位開始計算,而是於2000年開始計的話,計入股息後回報只會 有1.5%.那麼讀者可能會問為什麼不以2007計算,這樣回報一定會高很多,需知道經濟 是有週期性的,我們必須以一整個大週期作計算,而事實上很多較成熟之股票市場在一 個經濟週期過後,指數價格很多時是原地踏步.例如標普500指數(見圖二),科網爆破後 2002年指數低位是回到97年水平,而今次金融海嘯的價位也是回到2002年低位水平. 若是長楂的話,週期中間指數的升幅可說只是由如浮雲. 250天平均線模擬系統 那麼若是如筆者所說,一個經濟週期過後指數便會打回原型,一個很簡單的問題便會產 生;我們是否能夠在週期開始時買進,或在週期完結前賣出?首先要解決的問題是如何 判斷那時候是週期的開始及結束.市場時常以250天平均線作為一個牛市及熊市的分 水嶺.所以一個最簡單的做法是以這個做指標,即若指數升過250天平均線便買入,跌穿 便賣出,也可以正實一下這個250天線的實質作用.
  • 3. Seng Heng Bank - Center for Investment and Risk Analytics 誠興銀行 - 投資及風險研究中心 標普500指數(圖二) 1800 1600 1400 1200 1000 800 600 1/29/1996 5/29/1996 9/29/1996 1/29/1997 5/29/1997 9/29/1997 1/29/1998 9/29/1998 1/29/1999 5/29/1999 9/29/1999 1/29/2000 5/29/2000 9/29/2000 1/29/2001 5/29/2001 9/29/2001 1/29/2002 5/29/2002 9/29/2002 1/29/2003 5/29/2003 9/29/2003 1/29/2004 9/29/2004 1/29/2005 5/29/2005 9/29/2005 1/29/2006 5/29/2006 9/29/2006 1/29/2007 5/29/2007 9/29/2007 1/29/2008 5/29/2008 9/29/2008 1/29/2009 5/29/1998 5/29/2004 恆生指數與模擬系統之比較 圖三是恆生指數與250天模擬系統之過往10年回報,可見於2001-2002年期間,當恆指 大跌時, 由於恆指大部分時間是低於250天平均線,所以模擬系統大部分時間於期內手 持現金,而至約03年中,恆指回升過250天平均線, 模擬系統便買入恆指(若真正執行,讀 者可買入以追蹤恆指為目標之盈富基金2800),之後大部分時間都是手持指數,直至08 年中賣出後便持現金至現在. 在回報方面, 模擬系統這10年在未計股息前之平均每年 回報為8.93%,而若長楂恆指的話平均回報僅為3.22%,可見於這10年, 250天線模擬系 統的確能夠跑嬴長楂恆指,而且幅度不少. 主要原因是於指數大幅度下跌時, 模擬系統 往往能夠作出正確的賣出信號.從圖四可看到由高位之跌幅%.可見在2001-2003及今 次兩次之大熊市中, 模擬系統的最大高位跌幅%均比恆生指數為細. 恆生指數的由高 位最大跌幅為66%,而模擬系統則只是41%.
  • 4. Seng Heng Bank - Center for Investment and Risk Analytics 誠興銀行 - 投資及風險研究中心 恆生指數與250天模擬系統之回報(圖三) 注: 藍線為恆指之回報,淺綠為系統買入恆指,深綠為手持現金 那麼讀者可能會懷疑過往十年模擬系統跑嬴指數只是巧合,事實上卻不是如此.若由 1970年至1999年計這30年, 模擬系統的年平均回報是 15.91%,而恆指的回報為 15.19%(未計股息),而模擬系統的由高位最大跌幅為66%,而恆指則為91.5%(發生於 1973-74年之股災). 總結 由上述可見,一個很簡單的買賣程式已經可以提升回報.而事實上這樣一個系統的最 大好處為可以減低由高位最大跌幅%及波動性.需知道當一個組合下跌5成,要回復至 原來水平便需要上升100%. 在牛市中,平均線買賣系統很多時候回報均會比指數低. 但在大熊市中,其功能便會發揮.
  • 5. -70.0% -60.0% -50.0% -40.0% -30.0% -20.0% -10.0% 0.0% 1/27/99 5/27/99 9/27/99 1/27/00 5/27/00 9/27/00 1/27/01 5/27/01 9/27/01 1/27/02 5/27/02 9/27/02 1/27/03 5/27/03 9/27/03 1/27/04 250天模擬系統 5/27/04 Analytics 9/27/04 1/27/05 恆生指數 5/27/05 9/27/05 由高位跌幅%(Max. Drawdown%)圖四 1/27/06 5/27/06 9/27/06 誠興銀行 - 投資及風險研究中心 1/27/07 5/27/07 9/27/07 1/27/08 5/27/08 Seng Heng Bank - Center for Investment and Risk 9/27/08 (讀者如有任何意見,可電郵至feedback@stshb.com) 1/27/09