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Re: Forecast Oscillator



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Thanks Peter,
 
I use this formula much differently than Chande 
suggests.  I've had a lot of success with a 13 period FO.  I plot 
the formula and establish equidistant levels (from zero) that trigger buy and 
sell signals.  Simple, but effective.  This approach is 
graphically displayed in the attachment.  I like the FO because it can 
be somewhat "adaptive" (and it can pull twenty bucks out of 
crude).  
 
Thanks again, Equis doesn't "trust" us with the 
formula.  If you "click" on the little "arrow&?", on the task bar, 
in MetaStock and drop it on the Forecast Oscillator you get the following 
blurb:
 
"The oscillator is above zero when the forecast 
price is greater than the actual price.  Conversely, it's less than zero if 
its below."
 
Of course, this is totally false (the opposite is 
true).  Which of edition of MetaStock do you believe they might 
correct their mistake?
 
 
Take Care, 
 
Steve
 
 
 
 
 
----- Original Message ----- 
<BLOCKQUOTE dir=ltr 
style="BORDER-LEFT: #000000 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px">
  <DIV 
  style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black">From: 
  Peter 
  Gialames 
  To: <A 
  href="mailto:metastock@xxxxxxxxxxxxx"; 
  title=metastock@xxxxxxxxxxxxx>metastock@xxxxxxxxxxxxx 
  Cc: <A href="mailto:kernish@xxxxxxxxxxxx"; 
  title=kernish@xxxxxxxxxxxx>kernish@xxxxxxxxxxxx 
  Sent: Thursday, January 10, 2002 9:45 
  AM
  Subject: RE: Forecast Oscillator
  
  Not 
  sure if this is what you are looking for but ...
  <FONT color=#0000ff face=Arial 
  size=2> 
  <FONT color=#0000ff face=Arial 
  size=2>Peter Gialames
  <FONT color=#0000ff face=Arial 
  size=2> 
  
  Here is the text from S&C V. 
  10:5 (220-224): Forecasting Tomorrow's Trading Day by Tushar S. Chande, 
  Ph.D.
   
  
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Using 
  linear regression as a crystal ball for forecasting the market? After all, if 
  you were to be able to<?xml:namespace prefix = o ns = 
  "urn:schemas-microsoft-com:office:office" />
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>determine tomorrow's high, low and close for trend changes and 
  placement of stop points, it would
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>simplify your life immeasurably. Can it work? Tushar Chande explains 
  how it can be done.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Wouldn't 
  you trade better It you could "see" the future? A simple linear regression can 
  provide an
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>objective forecast for the next day's high, low and close. These 
  ingredients are essential for a trading
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">game 
  plan, which can help you trade more mechanically and less emotionally. Best of 
  all, a regression
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">forecast 
  oscillator, %F, gives early warning of impending trend changes. The linear 
  regression method is
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">well 
  known for finding a "best-fit" straight line for a given set of data. The 
  output of the regression are
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">the 
  slope (m) and constant (c) of the equation
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">(1)Y = 
  mX + c
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Here, 
  m and c are derived from a known set of values of the 
  independent variable X and dependent
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">variable 
  Y. The relative strength of the linear relationship between X and Y is 
  measured by the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>coefficient of determination r 2 
  , which is the ratio of the variation explained by the 
  regression line to the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">total 
  variation in Y. Here is a table to help interpret the values of r <SPAN 
  style="FONT-SIZE: 10pt">2 , which range from 0 to 
  1:
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">The 
  coining of the term "regression" can be attributed to Sir Francis Galton, who 
  observed in the late
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">1800s 
  that tall fathers appeared to have as a rule short sons, while short fathers 
  appeared to have as a rule
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">tall 
  sons. Galton suggested that the heights of the sons "regressed" or reverted to 
  the average. Technician
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Arthur 
  Merrill also had a good explanation in a recent issue of <SPAN 
  style="FONT-SIZE: 9pt">STOCKS & <SPAN 
  style="FONT-SIZE: 9pt">COMMODITIES, and Patrick
  Lafferty recently 
  wrote on an application of multiple regression to gold trading. Virtually all 
  introductory
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">books on 
  statistics have a detailed discussion of the linear regression 
  method.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Successful professional traders emphasize the importance of having a 
  trading plan. A trading game plan,
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">much 
  like that of a football team, clearly defines specific actions under different 
  conditions. The linear
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>regression method is very useful in developing a forecast for the next 
  trading day's high, low and close
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">based on 
  the last five trading sessions. The method is general and broad-based enough 
  so that it can be
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">used 
  with stocks, indices or commodities. The forecast is the basis of my trading 
  plan: I can define what I
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">should 
  do if the market rises above the forecast high, falls below the forecast low 
  or stays within the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">forecast 
  range. This way, I can avoid being emotional and trade as mechanically as 
  possible by having a
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">plan to 
  rely on.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 9pt">FORECASTING WITH LINEAR 
  REGRESSION
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">I like 
  to use at least 10 days of data and develop a forecast for the high, low and 
  close. The five-day
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>regression is a good choice for short-term trading. You can use any 
  length of regression you like. Here
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">are the 
  calculations with the daily close in a spreadsheet format:
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">1 
  Perform a linear regression with the first five days of data to obtain the 
  slope m and constant c such
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>that
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">X 
  Value    Daily Close
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>   
  1                Day 
  1
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>   
  2                Day 
  2
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">  
  ....
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>   
  5                
  Day 5
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">2 
  Forecast the next day's close with the slope m and constant c 
  from step 1:
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">(2) 
  Forecast close (Day 6) = 6m + c
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">3 Record 
  m, c and r 2 on the same line as Day 5. Record the forecast from step 2 
  one day ahead, with
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Day 6. 
  Note when we are using five days' data, the first forecast is for Day 
  6.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">4 Step 
  the calculation ahead one day such that
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">5 Record 
  m, c and r 2 as in step 3.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">6 
  Calculate the regression forecast oscillator, %F, as
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>(3)
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 10pt">%F  = ((Y-Yforecast)/Y)*100
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">where Y 
  is the close for Day 6 and Y(Forecast) is the forecast for Day 6 from step 2 
  (from Day 5).
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">7 Record 
  the oscillator on the same line as Day 6.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">8 Step 
  the calculations ahead one day at a time until the most recent day.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Technically, we can use the linear regression to develop a point 
  forecast (single value) for the next day
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">(as in 
  step 2) or a range (interval) of values with a certain confidence level. The 
  interval widens, greater
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">the 
  variation in the data and greater the desired confidence level.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">I use 
  the forecast oscillator, %F, to determine if my forecast is above or below the 
  actual market data.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Since
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 10pt">%F  = ((Y-Yforecast)/Y)*100
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 10pt"> 
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 10pt">where Y can be any market variable 
  for stocks, indices or commodities, %F measures the percent
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>deviation of the actual value from its forecast. In a trading market, 
  %F changes its sign before a
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>significant trend change. In trending markets, %F tends to change sign 
  early in the trend. I interpret %F in
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">the 
  context of the r 2 Of 
  the regression. A low value of r 2 
  plus a change in sign of %F is a good signal of 
  a
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">change 
  in trend. Market extremes and periodicity can also be observed on the %F 
  charts.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 9pt">DEVELOPING A TRADING PLAN
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">You can 
  use the forecasts to develop a specific trading plan to suit your trading 
  style. I use the forecasts
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">in 
  several ways.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Forecasts as stops. I use the high and the low as action 
  points. If the market exceeds the forecast high, it
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">wants to 
  go up. To trade with the trend, I put a buy stop a few ticks above the high. 
  If the market falls
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">below 
  the forecast low, it wants to go down. Hence, I set a sell stop a few ticks 
  below the forecast low. If
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">you want 
  to trade against the trend, sell short near the forecast high and buy near the 
  forecast low.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Forecasts as intraday range scale. The forecasts provide 
  a scale for evaluating the trading day. The
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">market 
  can stay within the expected range or go outside. On a down day, the intraday 
  high is well below
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">the 
  forecast high and may be below the forecast close. On an up day, the market 
  stays well above the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">forecast 
  low and often above the forecast close.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>General rules for trading with forecasts. Here are some 
  general rules:
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226; Use 
  the forecasts only if r 2 is greater than 0.1. Higher the value of r 2 , the 
  greater the confidence in the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>forecasts.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226; A 
  trend change is imminent when r 2 falls below 0.1. Prepare to close 
  longs.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226; A 
  trend is in place if r 2 is greater than 0.6. As a trend follower, you could 
  wait for this value to be
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">exceeded 
  before opening positions. This would keep you out of short-term 
  fluctuations.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226; An 
  early warning of a trend change is provided by a zero-crossing of %F, the 
  forecast oscillator.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Prepare 
  to tighten stops and look for changes in slope and coefficient of 
  determination for
  <FONT 
  size=3>confirmation.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226;A 
  change in trend is confirmed by a change in slope of the regression. Open 
  positions in direction of
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">trend 
  change. To trade against the trend, look for peaks in slope and strength of 
  the linear trend.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226;The 
  trend will usually change in the direction of %F.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">&#8226;Always 
  be prepared for a market move against the forecast. Use stops!
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">A 
  SAMPLE TRADING 
  PLAN
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">I have 
  developed a forecast for the high, low and close for January 20, 1992, from 
  the previous five
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">trading 
  days, seen in Figure 1. The market was making new highs the previous week. Was 
  a downward
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">movement 
  imminent? Let's look at the data from Friday, January 17, 1992:
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">The 
  market was trending moderately (0.4<= r <SPAN 
  style="FONT-SIZE: 10pt">2 <0.6), but the forecast 
  oscillator %F was negative for
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">high, 
  low and close, warning of a possible change in trend. The relatively small 
  slope of the regression
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">for the 
  high meant the market was meeting resistance. The slope of the regression for 
  the close had turned
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">down 
  from the high values during the recent strong uptrend. The forecast, however, 
  called for a strong
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">close 
  near the highs of the day, but that seemed doubtful, given the low slopes in a 
  moderating trend. The
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">plan was 
  to watch for a change in trend. If the market opened weak, a bearish strategy 
  was called for. For
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">example, 
  I would consider buying the Standard & Poor's 100 Index <SPAN 
  style="FONT-SIZE: 9pt">OEX January 390 puts, or 
  selling
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">short 
  the S&P 500 March futures contract.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 16pt">The high daily volume of 
  OEX 
  index 
  options traded makes the S&P
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 16pt">100 index an interesting 
  application of me regression forecast
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 16pt">approach.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">The 
  market opened at the Friday close and weakness was evident at the open, as the 
  S&P 500 futures
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">opened 
  lower. It was clear in early trading that the trend would be down, as the 
  market traded well below
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">the 
  forecast high and close. Clearly, the forecast range provided a good scale, 
  since it reinforced the
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">concept 
  that the market was weaker than the trend of the prior five days. A bearish 
  stance would have
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">been 
  profitable.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-SIZE: 9pt">THE NATURE OF REGRESSION 
  FORECASTS
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">The high 
  daily volume of OEX <FONT 
  size=3>index options traded makes the S&P 100 index an interesting 
  application
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">of the 
  regression forecast approach. I have examined a time period from early October 
  1991 to
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>mid-January 1992. The OEX 
  close and its forecast are in Figure 2; the r <SPAN 
  style="FONT-SIZE: 10pt">2 values in Figure 3; %F in 
  Figure
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">4, and 
  Figure 5 has %F around the mid-November plunge.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Several 
  observations can be made from the OEX 
  analysis. First, the forecast lags the <SPAN 
  style="FONT-SIZE: 9pt">OEX in an uptrend
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">or in a 
  downtrend. Second, the close and the forecast cross over several days before a 
  trend change. This
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>crossover can be seen as a zero crossing in the %F chart. Significant 
  trend changes are preceded by
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>trendless periods with values of r <SPAN 
  style="FONT-SIZE: 10pt">2 near zero. Strong trends are 
  accompanied by high values of r 2 
  and
  regression slope. 
  These observations support the general rules of interpretation noted above. As 
  Figure 5
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">shows, 
  %F provided a timely warning of an impending trend change just before the 
  OEX fell 15.68 
  points.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">I have 
  included data for wheat (cash) from 1989 to indicate the use of this approach 
  with commodities.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">The 
  market showed significant trends during this period with good periodicity, as 
  shown in Figures 6, 7
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">and 8. 
  The %F zero crossings were timely indicators of trend change. Features 
  observed with OEX <FONT 
  size=3>charts
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">are also 
  seen here; note in particular how %F can be used to identify extremes in the 
  market from Figures
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">4 and 
  8.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">Simple 
  linear regression yields forecasts of the high, low and close for stocks, 
  indices or commodities.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">these 
  forecasts can be used to develop a trading plan. You can trade with the trend, 
  against the trend,
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">intraday 
  or interday. The forecast oscillator, %F, provides early warning of trend 
  changes taken together
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">with the 
  regression slope and coefficient of determination. This approach works best in 
  trending markets
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">or 
  trading range markets; it is only moderately useful in volatile markets with 
  choppy price action. These
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>objective forecasts will let you trade less emotionally and more 
  mechanically. Profits will look up when
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none">you can 
  look ahead.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>Tushar Chande holds a doctorate in engineering from the University of 
  Illinois and a master's degree in
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
  size=3>business administration from the University of 
  Pittsburgh.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 8pt">REFERENCES
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Lafferty, Patrick [ 1991 ]. "A 
  regression-based oscillator," <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11.5pt">Technical Analysis of 
  STOCKS <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">& <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 8pt">COMMODITIE<SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">S,
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Volume 9: 
  September.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Merrill, Arthur [1991]. "Fitting a 
  trendline by least squares," <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11.5pt">Technical Analysis of 
  STOCKS <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">& <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 8pt">COMMODITIE<SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">S,
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Volume 9: 
  December.
  <P class=MsoNormal 
  style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Pfaffenberger, Roger, and James 
  Patterson [1987]. <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11.5pt">Statistical Methods for Business 
  and Economic<SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">s,
  <SPAN 
  style="FONT-FAMILY: Arial; FONT-SIZE: 11pt">Irwin.
  
    <FONT face=Tahoma 
    size=2>-----Original Message-----From: 
    owner-metastock@xxxxxxxxxxxxx [mailto:owner-metastock@xxxxxxxxxxxxx]On 
    Behalf Of Steve KarnishSent: Thursday, January 10, 2002 10:34 
    AMTo: metastock@xxxxxxxxxxxxxSubject: Forecast 
    Oscillator
    List,
     
    Does anyone have the math formula for Chande's 
    Forecast Oscillator?  
     
    Thanks,
     
    <FONT face=Arial 
size=2>Steve

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