The Cross-Overs

Three cross-overs are followed: Price Change Tipping Point, MACD and RSI.

Price Tipping Point. A total of the slope differential of the current closing price to the prices of previous closes. A buy signal occurs when the total goes over zero and a sell goes below.

Moving Average Convergence Divergence (MACD) I use an optimal value.

Relative Strength Index (RSI) Like the MACD - RSI crossover uses an optimal value.

How It Works...

This model uses three algorithms to select when a buying or selling opportunity may have occurred:
  1. PCTP (Price Change Tipping Point)
  2. RSI (Relative Strength Index)
  3. MACD (Moving Average Convergence Divergence).
PCTP is explained here.  For the RSI and MACD click on the link.

PCTP is a cross-over indicator much line RSI, MACD and other moving average indicators.  PCTP computes the slope value between the current price and the immediate historical price.  The slopes are added up for a prespecified period.  When the sum of slope values rises above a specific value a buy indicator is given and likewise when it falls below a specific value a sell situation has occurred.

When looked at from a statistical point of view PCTP is like a weighted moving average.

A study of many stocks and ETFs has show that each stock or ETF has a unique cross-over point.  For this blog I will simply use zero.  So if the sum of slopes rises above zero - a buy indicator is provided and conversely below zero - sell.

Also from the above mentioned study the optimal number of days to sum up is between 4 and 6 so 5 will be used.

Unlike PCTP, the MACD and RSI cross-over values will be unique to the ETFs used in the study.

All 3 algorithms must be in a buy situation before a buy indicator is provided and likewise all 3 must be in a sell situation for a sell indicator is shown.

Some study results - based on $10,000 initial investment over the life of the leverage ETFs used in the study

Using PCTP (0-crossover) only


BIB 21557.76
ERX 82709.06
FAS 31371.67
MIDU 36938.79
SPXL 40124.84
TECL 35128.51
TNA 33245.35
UGAZ 13138.20
UGLD 8216.82
URTY 17764.09


Using MACD (optimized) only

BIB 95980.02
ERX 84159.94
FAS 100096.00
MIDU 242646.82
SPXL 118743.44
TECL 166001.55
TNA 133855.42
UGAZ 21883.58
UGLD 13120.16
URTY 44193.33


Using RSI (optimized) only

BIB 107587.08
ERX 80918.11
FAS 97647.48
MIDU 235486.21
SPXL 113959.29
TECL 158620.04
TNA 267880.80
UGAZ 69944.45
UGLD 21677.43
URTY 71940.93


Using all 3.

BIB 119406.93
ERX 216164.37
FAS 164957.73
MIDU 319415.19
SPXL 174896.50
TECL 275121.88
TNA 382118.19
UGAZ 60374.27
UGLD 16831.98
URTY 104687.05

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