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Re: Forecast Oscillator



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Steve, that looks very good. Could you kindly save 
me time by posting the expert?
Many thanks,
Nick
<BLOCKQUOTE dir=ltr 
style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  ----- Original Message ----- 
  <DIV 
  style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black">From: 
  Steve 
  Karnish 
  To: <A title=metastock@xxxxxxxxxxxxx 
  href="mailto:metastock@xxxxxxxxxxxxx";>metastock@xxxxxxxxxxxxx 
  Sent: Friday, January 11, 2002 6:56 
  AM
  Subject: Re: Forecast Oscillator
  
  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="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
    <DIV 
    style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black">From: 
    Peter 
    Gialames 
    To: <A title=metastock@xxxxxxxxxxxxx 
    href="mailto:metastock@xxxxxxxxxxxxx";>metastock@xxxxxxxxxxxxx 
    Cc: <A title=kernish@xxxxxxxxxxxx 
    href="mailto:kernish@xxxxxxxxxxxx";>kernish@xxxxxxxxxxxx 
    Sent: Thursday, January 10, 2002 9:45 
    AM
    Subject: RE: Forecast Oscillator
    
    <FONT face=Arial color=#0000ff 
    size=2>Not sure if this is what you are looking for but 
    ...
    <FONT face=Arial color=#0000ff 
    size=2> 
    <FONT face=Arial color=#0000ff 
    size=2>Peter Gialames
    <FONT face=Arial color=#0000ff 
    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"><FONT 
    size=3>Using linear regression as a crystal ball for forecasting the market? 
    After all, if you were to be able to
    <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"><FONT 
    size=3>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"><FONT 
    size=3>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"><FONT 
    size=3>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 
    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"><FONT 
    size=3>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 <FONT 
    size=3>Of the regression. A low value of r <SPAN 
    style="FONT-SIZE: 10pt">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"><FONT 
    size=3>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">• 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">• 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">• 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"><FONT 
    size=3>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">• 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"><FONT 
    size=3>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">•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">•The 
    trend will usually change in the direction of %F.
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><FONT 
    size=3>•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"><FONT 
    size=3>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"><FONT 
    size=3>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"><FONT 
    size=3>example, I would consider buying the Standard & Poor's 100 Index 
    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-SIZE: 16pt; FONT-FAMILY: Arial">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-SIZE: 16pt; FONT-FAMILY: Arial">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-SIZE: 16pt; FONT-FAMILY: Arial">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"><FONT 
    size=3>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 
    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"><FONT 
    size=3>Several observations can be made from the <SPAN 
    style="FONT-SIZE: 9pt">OEX analysis. First, the forecast 
    lags the 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"><FONT 
    size=3>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-SIZE: 8pt; FONT-FAMILY: Arial">REFERENCES
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">Lafferty, Patrick [ 1991 ]. "A 
    regression-based oscillator," <SPAN 
    style="FONT-SIZE: 11.5pt; FONT-FAMILY: Arial">Technical Analysis of 
    STOCKS <SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">& <SPAN 
    style="FONT-SIZE: 8pt; FONT-FAMILY: Arial">COMMODITIE<SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">S,
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">Volume 9: 
    September.
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">Merrill, Arthur [1991]. "Fitting 
    a trendline by least squares," <SPAN 
    style="FONT-SIZE: 11.5pt; FONT-FAMILY: Arial">Technical Analysis of 
    STOCKS <SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">& <SPAN 
    style="FONT-SIZE: 8pt; FONT-FAMILY: Arial">COMMODITIE<SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">S,
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">Volume 9: 
    December.
    <P class=MsoNormal 
    style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none"><SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">Pfaffenberger, Roger, and James 
    Patterson [1987]. <SPAN 
    style="FONT-SIZE: 11.5pt; FONT-FAMILY: Arial">Statistical Methods for 
    Business and Economic<SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">s,
    <SPAN 
    style="FONT-SIZE: 11pt; FONT-FAMILY: Arial">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