The long term daily chart above highlights two potential falling (slightly) resistance lines from the peaks of the last six years. These lines are represented in black and red. Of particular note is how gold has reacted to these lines in the last few weeks - honoring both to the tick. This trading action is...Read More

Here is a quick snapshot of the metals sector. The silver chart above is constructive, as silver broke out of a falling wedge and confirmed the bullish action in gold. It also successfully hit its initial target of $15.15-$15.20.Read More

The oil price has been in a precipitous decline since falling from $66+ in April to a recent low this morning of $52.22, from where it has since rallied strongly. If this low holds, it will form the channel depicted above. This area seems like a nice risk-reward setup for a possible move back to...Read More

The bond market has been on fire of late with two rate cuts now being priced into the market in 2019. While equities and energy have reacted harshly on expectations of slowing growth, the US dollar and gold, in particular, have been surprisingly mired in a low volatility coil.Read More

The ratio has been in a wide ranging downtrend channel for a decade, with a countertrend move beginning in early 2016. That move broke its uptrend channel in December, pulled back to retest prior channel support, and has since broken down again on recent trading action. This breakdown is bearish for the ratio, which translates...Read More

The primary, long term trend in the iShares 20+ Year Treasury Bond (TLT) remains up. Channel support held at the December lows and has since rebounded strongly on expectations for lower rates (Fed Funds Futures are pricing in an 80% probability of a rate cuts by December 2019). This is bullish for bond prices.Read More

Fibonacci refers to the sequence of numbers made famous by thirteenth-century mathematician Leonardo Pisano, who presented and explained the solution to an algebraic math problem in his book *Liber Abaci* (1228). The Fibonacci sequence and the ratios of its sequential numbers have been discovered to be pervasive throughout nature, art, music, biology, and other disciplines, and they form the foundation for Fibonacci trading tools. Traders apply these Fibonacci levels to help interpret market behavior and to isolate higher probability setups and market pivots.

The sequence begins with 0 and 1 and is comprised of subsequent numbers in which the nth number is the sum of the two previous numbers. The equation for finding a Fibonacci number can be written like this:

Fn = F(n-1) **+** F(n-2). The starting points are F1 = 1 and F2 = 1.

Each number in the Fibonacci sequence is identified with a subscript 1, 2, 3, 4 …… to indicate which term of the sequence we are talking about. Thus F16 refers to the sixteenth Fibonacci number.

Related to the Fibonacci sequence is another famous mathematical term: the **Golden Ratio**. When a number in the Fibonacci series is divided by the number preceding it, the quotients themselves become a series that follows a fascinating pattern: 1/1 = 1, 2/1 = 2, 3/2 = **1.5**, 5/3 = **1.666**…, 8/5 = **1.6**, 13/8 = **1.625**, 21/13 = **1.61538**, 34/21 = **1.619**, 55/34 = **1.6176**…, and 89/55 = **1.618**… The first ten ratios approach the numerical value 1.618034… which is called the “Golden Ratio” or the “Golden Number,” represented by the Greek letter Phi (Φ, φ). After these first ten ratios, the quotients draw ever closer to Phi and appear to converge upon it, but never quite reach it because it is an irrational number. Phi (Φ), 1.61803 39887…, is also the number derived when you divide a line in mean and extreme ratio, then divide the whole line by the largest mean section; its inverse is phi (φ), 0.61803 39887…, obtained when dividing the extreme (smaller) portion of a line by the (larger) mean. In the image below, the ratio of the smaller part of a line (CB), to the larger part (AC) – i.e. CB/AC – is the same as the ratio of the larger part, AC, to the whole line AB. Therefore, CB/AC = AC/AB.

Phi and phi are also known as the Golden Number and the Golden Section. The formula for Golden Ratio is: F(n) = (x^n – (1-x)^n)/(x – (1-x)) where x = (1+sqrt 5)/2 ~ 1.618 The Golden Ratio represents a fundamental mathematical structure which appears prevalent – some say ubiquitous – throughout nature, and is used as the basis for Fibonacci tools in trading.