Determine the current True Low, TL. TL - is the lowest current minimum or the previous closing price.
TL (i) = MIN (LOW (i) || CLOSE (i - 1))
Calculate current Buying Pressure, BP is equal to the difference between the closing price and the True Low.
BP (i) = CLOSE (i) - TL (i)
Get the True Range, TR. This is the biggest difference of the current low and high; or current high and the previous closing price; previous closing price and the current low.
TR (i) = MAX (HIGH (i) - LOW (i) || HIGH (i) - CLOSE (i - 1) || CLOSE (i - 1) - LOW (i))
Count the sum of BP indicators for all time periods
BPSUM (N) = SUM (BP (i), i)
Compute the sum of TR indicators for all three time periods
TRSUM (N) = SUM (TR (i), i)
Identify the Raw Ultimate Oscillator, RawUO
RawUO = 4 * (BPSUM (1) / TRSUM (1)) + 2 * (BPSUM (2) / TRSUM (2)) + (BPSUM (3) / TRSUM (3))
Calculate Ultimate Oscillator, UO
UO = ( RawUO / (4 + 2 + 1)) * 100, where
MIN - minimum reading;
MAX - maximum reading;
|| - logical OR;
LOW (i) - lowest price of the current bar;
HIGH (i) - highest price of the current bar;
CLOSE (i) - closing price of the current bar;
CLOSE (i - 1) - closing price of the previous bar;
TL (i) - True Low;
BP (i) - Buying Pressure;
TR (i) - True Range;
BPSUM (N) - sum of BP readings for N period (N which is equal to 1 is i = 7 bars; when N = 2, i = 14 bars; when N = 3, i = 28 bars);
TRSUM (N) - sum of TR readings for N period (N which is equal to 1 is i = 7 bars; when N = 2, i = 14 bars; when N = 3, i = 28 bars);
RawUO - Raw Ultimate Oscillator reading;
UO - Ultimate Oscillator reading.
aking into account that Ultimate Oscillator is used for technical analysis and it fluctuates in the range from 0% to100%, the baseline of Ultimate Oscillator can be regarded as oversold/overbought indicator for the market. If the indicator demonstrates the reading above 70 level, the market is overbought and there will be a trend reversal soon. In case the indicator dropped below 30 level, it will be possible to observe prices growth soon.
It is necessary to consider so-called Gambler's Fallacy factor while using this kind of method based on Ultimate Oscillator (as well as any other technical oscillator).
Larry Williams suggested absolutely different approach when using this indicator, but it is very relevant for modern exchange markets now:
fastperiod = 7
middleperiod = 14
slowperiod = 28
fastK = 4
middleK = 2
slowK = 1