The line above is an example of a wise investment strategy that can be followed by anyone who invests in the stock market. Basically, you are asking yourself, ‘what is the best price that I can buy this security (stock) for?’. The answer to this question is known as the ‘investment ratio’ and can be found on the last line of the Tickers section in an investing app like Robinhood.

It should be noted that the above formula is only relevant when you are first investing in a stock. As you gain more experience, you will learn things like margin trading and position trading, which require a different approach. In those cases, you are asking, ‘what is the best price that I can sell this security for?’, and the answer is generally known as the ‘premium to discount’ (or ‘premium to yield’), which can be found in the last line of the Notes section in an investing app like Robinhood.

What is over 1.5 in betting? Simply put, it is a price that is higher than 1.5 times the amount wagered. For example, if you place a $100 wager on the over 13.5 wins in the NY NFL football game and the betting line states ‘over 13.5 wins,’ then you are committing to a wager of $130. In this scenario, you are saying that you are willing to wager $100 that the New York Football Giants will score more than 13.5 points in the game. Obviously, this is fairly high-risk, as evidenced by the fact that there is a 13.5-point spread between the betting lines in this example.

## Why Use Exponential Calculations?

Although mathematics may not be your strong suit, you may be familiar with the term ‘exponential growth’, which simply means that a certain number (usually a very large number) increases by an extremely large amount over time. For example, if you look at the graph below, you will see that the population of Sweden grew by 4% in 2018 compared to 2017.

Even more impressive is the fact that the population of Sweden grew by 11.4% from 2016 to 2018. Naturally, this makes us wonder what will happen in the future. Based on historical trends and current population figures, it is safe to assume that Sweden will have a population of about 10.7 million people in the year 2046. If current trends continue, then there will be about 11.4 million people in 2046, which is very close to the actual figure (11.5 million).

When you are placing bets on sporting events, the key term to remember is ‘exponential growth’. For example, take a look at the graph below, which shows the yearly growth rate of the NBA from 1992 to 2018.

The first thing you will notice is that the growth rate is not evenly divisible by percentages such as 100 or 500. When you have a look at the actual numbers, you will notice that the yearly increase is larger in the past than it is in the present. In fact, the graph below is a logarithmic plot, which makes the data easier to handle. Looking at the graph above, you will see that the yearly increase of the NBA from 1992 to 2018 is 929%, which is a very high number.

In the case of the NBA, we can calculate the actual increase by applying the formula, ‘a = (b^c)/d’, where ‘a’ is the actual increase, ‘b’ is the beginning number, ‘c’ is the quantity of years and ‘d’ is the denominator or starting point. In this case, ‘b’ is 12, the beginning number, ‘c’ is 4 (years) and ‘d’ is 382.4 (original 12 × 4 = 48). Therefore, the exact increase is 929% or 48 × 100%, which is 49.9% in actuality. This is an extremely high percentage, even for those who are familiar with mathematics.

## How Exponential Growth Works In Practice

When you apply the formula above to the Swedish population from the example above, you will get a result that is very close to reality. If you take the initial population of Sweden at 9.7 million in 1997 and apply the growth rate of 4% per year, then you will arrive at an estimated population of 10.7 million in 2046. This is similar to what actually happened in Sweden.

Below, you will find the actual population of Sweden compared to the estimated population figures, both in 2018.

As you can see, the actual population of Sweden is more than 11 million, which is very close to the estimate. The only difference is that the actual population is somewhat higher than the figure predicted by the experts. In general, this can be attributed to two things: first, Sweden has experienced a large amount of immigration in the last two decades; second, the country has had a fairly quick birth rate compared to other European countries.

As in the example above, when you are placing bets on sporting events, remember to use the term ‘exponential growth’. Using the growth rate of 1.25% per month, which is a very low number, you will arrive at an estimated population of 34.3 million people in the year 2066. In this case, the actual increase will be 33.6 million or 89.7% compared to the estimate. This will happen because the monthly increase is not large enough to compensate for the numerous years passed between now and then.

## Over or Under 1.5 In Bettting?

As mentioned above, when you are placing bets on sporting events, one of the most important things to consider is the ‘investment ratio’ or the ‘premium-to-discount’ (or ‘premium-to-yield’) spread. The key takeaway from this section is that although it is usually advisable to take the favorites, there is also the opportunity to make a large profit by gambling on underdogs. In fact, in some cases, it is even possible to profit from betting on the World Cup final.

For example, take a look at the below graph, which shows the average price (in green) and the standard deviation (in blue) of various NBA scoring favorites from January 1, 2019 until March 15, 2019.

You will notice that the averages are all very close to the key number of 1.5. If we had bet $100 on every single game (up until the end of the season), then we would have won $150 (13.5 wins × $100). In some cases, the key number is even closer than its average, which indicates that the spread is likely to decrease (or increase) significantly in the upcoming weeks. On March 15, 2019, the key number became 1.492. In other words, if we had bet $100 on every single game with a key number of 1.492 or higher, we would have won $150 (11.5 wins).

The important takeaway above is that although the averages are usually good starting points for your wagers, you should not rely on them 100% of the time. Instead, you should look at the standard deviation in the graph above, which shows the ‘scatter’ of the data points. The standard deviation is a measure of how much the data varies around the average and as you can see, the standard deviation of the key number 1.5 is quite small. This suggests that there is a lot of consistency to the data and that the average is a good starting point for your wager. In some cases, the key number may be a little higher or lower than the average, but the difference is usually not significant.

## How To Make Money In The Stock Market

In the last few years, there has been a wave of highly paid ‘internet gurus’ who have become famous for predicting the future movements of stock markets. These so-called ‘stock tweeters’ have been responsible for many massive returns, which has attracted the attention of speculators and day traders around the world. One of the best examples of a truly remarkable stock forecast is found on the website, `wallstreetweather.com`, which was started by Joe Rojas in 2012.

Simply put, Joe Rojas (founder of `wallstreetweather.com`) was able to accurately forecast the direction of the price of Apple stock (AAPL) by using a number of key indicators and reliable metrics. Let’s take a quick look at how Joe Rojas was able to do this, which will expose you to a number of technical indicators that you can use to conduct your own research and potentially profit from the stock market as well.