Leonardo of Pisa, better known to us today as Fibonacci first introduced what we call the Fibonacci sequence to the west in his 1202 book Liber Abaci (the sequence was already known in Indian mathematics). He stumbled upon this sequence while attempting to estimate how many rabbits he would be able to breed in one year based on his knowledge of their breeding habits. This mathematical model is used by Forex traders today.

So you see, what many people mistakenly take as a mere mathematical abstraction, just “fooling around” with numbers, is rooted in very real-world applied mathematics. To state things very basically, the Fibonacci sequence can be used to detect and describe otherwise hidden patterns in the world around us.

How can this be applied to investing? Very astute investors understand that there are hidden patterns in the stock market–based on the mass of investors’ behavior. “Buy low and sell high” and “The best time to buy is when there’s blood in the streets” are but two investment aphorisms that not only work, but also come from understanding hidden patterns of the investment markets.

The reason that investment market patterns are so well hidden is because “up close” they cannot be seen. Day to day, hour to hour fluctuations in the investment markets cannot be predicted with any accuracy. But certain overall trends that extend over longer periods of time definitely can be. And savvy investors, including Forex traders, have successfully been using Fibonacci’s number sequence to take advantage and make big profits.

The Fibonacci sequence is a string of numbers with each number being the sum of the two numbers which preceded it. For example, one such string would be 1,1,2,3,5,8,13,21 and so on. These numbers are related in several ways. Any given number in a Fibonacci sequence is about 1.618 of its predecessor – the “golden ratio” of the Greek mathematicians.

Of all the Fibonacci series the two applications in wide spread use by Forex traders and investors are arcs and retracements.

Fibonacci charts are created through a technique comprising three curved lines that are drawn for the purpose of anticipating key resistance and support levels as well as areas of ranging. First, an invisible trendline is drawn between two points (typically these are the high and low for a given time period). Then, three curves are drawn so as to intersect this trendline at the key Fibonacci levels of 38.2%, 50%, and 61.8%. Transaction decisions are made at the point where the price of the asset crosses through these key levels.

Next is the retracement – this is when the movement of a stock or other traded commodity reverses direction; this is a reversal which is stronger than the prevailing trend of the stock’s movement. Retracement patterns are looked at closely by investors; a Fibonacci retracement can be used to analyze the odds of a commodity’s price having a larger than average retracement before continuing back on the direction it had before reversal. The trendline is typically drawn between two extremes and is divided vertically by the Fibonacci ratios of 23.6%, 38.2%, 50%, 61.8% and 100%.

The Fibonacci retracement is widely used by sophisticated traders to find: strategic places for transactions to be placed; target prices; and stop-losses. Other technical tools including Tirone levels, Gartley patterns, and Elliott Wave theory all make use of retracement.

The reason that the Fibonacci sequence is used in investing is simple: it works! Forex traders in particular in particular seem to find it useful in making profitable trades.

Who doesn’t want to get rich? Everyone wants to make some extra cash especially if the approach and effort is simple! Here are some ways you can achieve guaranteed income without doing much!

Most people would do everything even rendering overtime work from office just to have additional money to pay the bills, mortgages and to but their dream house and car. Today, these ways are no longer useful for someone who is already tired working for ten years without stable income and without savings.

Passive Income Streams

Passive income streams are basically ways of earning extra cash without really struggling or proactively making an effort. Thus, you could be sleeping while you make more money! The internet has today made it possible for people to make money easily without having to spend too much time or effort into the business.

Online Retail Stores

It is easy to set up your own retail store over the Internet. There are even free websites that offer hosting for these stores. You can start by selling stuff that you like or popular gadgets such as an iPhone. You can contact other online merchants/companies so you could retail for them. Also, popular sites are sponsored by companies who want to place their ads on your website. You can also earn from these ads even if you are not yet earning on your retail store.

Affiliate Marketing Programs

Affiliate marketing programs are great because you don’t spend a dime to start referring a product! This is one of those business opportunities which only knows how to give money instead of taking it! You can easily sign up for an affiliate program that is free and then start referring the products and services. Once you start making sales through your referrals you will receive hefty commissions per sale! Thus you can earn extra cash easily without really putting in much energy or time into an affiliate program!

Products that help make more money!

When it comes to selecting the best products, the sellers or owners of online stores should think of getting products that are best sellers and products that are within their sphere of interests. This way they will not have a hard time selling the products.

MLM is a great, legitimate, and potentially lucrative way to work from home for your own MLM business opportunity.

By directly selling products while creating your own upline downline, you can work your MLM business opportunity part-time, from home, and at in your own hours. Even with all the potential for making money, you should decide, though if an MLM is for you.

Many people are blinded by all the benefits of an MLM when determining if this type of business is right for them. You don’t need to have a college degree or any experience to get into the industry.

The products are already manufactured and are usually shipped by the company directly to your customers. You choose your hours and your work location. In fact, many MLM business opportunities are taken by people who work from the comfort of their own home.

Other benefits of an MLM business opportunity that is worked from home is that you have leverage; you continue earning commissions on a single effort. You do not need to come up with your own business or marketing plan. The company does it for you. Also, recruiting and training systems are provided for you by the company.

The work is selling, so you need to have a pretty strong backbone, as many people will tell you, no instead of the much-coveted yes. Therefore, it takes a lot of effort and motivation. In order to make the most potential income, you need to continuously recruit new representatives. Plus, if you are working from home, your MLM business opportunity require that you purchase a certain amount of product each month or quarter, adding in a financial commitment.

Working at home works for some people. Other people find that it takes a great deal of discipline and motivation to get the job done without being easily distracted. Before you decide to take up the MLM business opportunity and work at home, make sure that you get all the information that you need to make an informed decision.